Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees....

58
Pre-Algebra Enrichment

TAGS:

Transcript of Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees....

Page 1: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Pre-Algebra Enrichment

Page 2: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Classifying Angles

Acute angle- An angle that measures less than 90 degrees.

Obtuse angle- An angle that measures more than 90 degrees and less that 180 degrees.

Right Angle- An angle that measures 90 degrees.

Page 3: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Question #1If an angle is 180 degrees it is a(n)… Right Angle

Straight Angle

Obtuse Angle

Acute Angle

Page 4: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Sorry!

Your answer was incorrect, please try again!

Page 5: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Correct!

Great job! It is a straight angle. Please continue.

Page 6: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Classifying Triangles (based on sides) Equilateral Triangle- A triangle with three

equal sides Isosceles Triangle- A triangle with at least

two equal sides Scalene Triangle- A triangle with no equal

sides

Page 7: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Classifying Triangles (based on angles) Right Triangle- A triangle containing a right

angle Acute Triangle- A triangle that has three acute

angles Obtuse Triangle- A triangle that has one obtuse

angle and two acute angles Equiangular Triangle- A triangle that has three

equal angles

Page 8: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Question #1AIf a triangle has three equal sides it is called… Equiangular

Equilateral

Isosceles

Scalene

Page 9: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

OOPS!

Sorry, that was incorrect, you better review your triangle information and then try

again!

Page 10: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Congratulations!

You know your stuff! Continue on to further test your triangle knowledge.

Page 11: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Question #2A triangle with an angle greater than 90 degrees is called…

An acute triangle

An isosceles triangle

An obtuse triangle

A right triangle

Page 12: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Sorry!

Your answer was incorrect, please try again!

Page 13: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Correct!

Great job! It is an obtuse triangle. Please continue.

Page 14: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Question #3What kind of triangle is this:

Right Triangle

Scalene Triangle

Neither Right or Scalene

Both Right and Scalene

Page 15: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Incorrect!

Page 16: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Correct!

Page 17: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

General Triangle Properties

Triangles are three-sided polygons.

All triangles have an angle sum of 180 degrees based on the Triangle Sum Theorem.

Page 18: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Question #4A triangle with 4 sides must have an angle sum of: 180

360

240

A triangle cannot have 4 sides.

Page 19: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

OOPS!

Page 20: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Excellent!

Page 21: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Question #5What is the angle sum of: 360 degrees

180 degrees

270 degrees

There is no way of knowing what the angle sum is.

Page 22: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Sorry!

Page 23: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Great Job!

Page 24: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Angle Pairs:

Complementary Angles- angles that have measures that add to 90 degrees.

Supplementary Angles- angles that have measures that add to 180 degrees.

Page 25: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Question #6The following angles are considered…

Complementary

Supplementary

Complementary and Supplementary

None of the Above

Page 26: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Incorrect

Page 27: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Correct!

Page 28: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Question #7A 6 sided figure is called what and has a degree measure of what?

Hexagon, 540

Hexagon, 720

Heptagon, 540

Heptagon, 720

Page 29: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

OOPS!

Page 30: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Excellent!

Page 31: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Congruency

Congruent is another word for equal.

Page 32: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Question #8The second angle of a triangle is two times the measure of the first angle. The third angle is 3 times the measure of the second angle what is the measure of each angle?

1st- 30º, 2nd- 60º, and 3rd- 90º

1st- 20º, 2nd- 40º, and 3rd- 120º

1st- 20º, 2nd- 60º, and 3rd- 100º

Page 33: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Sorry!

Page 34: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Great Job

Page 35: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Question #9If two sides of a triangle are said to be congruent that means that they are different lengths. True or False.

True

False

Page 36: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Incorrect

Page 37: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Correct

Page 38: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Transversals of Parallel Lines

A transversal is a line that intersects any two or more other lines.

When a transversal intersects parallel lines the angles formed have the following properties:

1. All acute angles formed are congruent. 2. All obtuse angles formed are congruent. 3. Any acute angle is supplementary to any

obtuse angle formed.

Page 39: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Question #10What types of angles are 4 and 6?

• Corresponding Angles

Alternate Interior Angles

Alternate Exterior Angles

QuickTime™ and aTIFF (Uncompressed) decompressor

are needed to see this picture.

Page 40: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

OOPS!

Page 41: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Excellent!

Page 42: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Question #11What types of angles are 2 and 6?

• The angles are alternate interior.

• The angles are corresponding.

• The angles are vertical.

• Not enough information.

QuickTime™ and aTIFF (Uncompressed) decompressor

are needed to see this picture.

Page 43: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Wrong Answer

Page 44: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Correct

Page 45: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Question #12What types of angles are 1 and 7?

• Vertical Angles

• Corresponding Angles

• Alternate Exterior Angles

• Alternate Interior Angles

QuickTime™ and aTIFF (Uncompressed) decompressor

are needed to see this picture.

Page 46: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

OOPS!

Page 47: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Great Job!

Page 48: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Slope

The slope of any line is: Vertical Change Horizontal Change

Which is the same as: Rise Run

Page 49: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Question #13What is the slope of the top line?

• 1

• -1

2

-2

QuickTime™ and aTIFF (Uncompressed) decompressor

are needed to see this picture.

Page 50: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Incorrect

Page 51: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Correct

Page 52: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Question #14What is the slope of this line?

0

1

Not enough information.

Page 53: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

OOPS!

Page 54: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Great Job

Page 55: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Question # 15What is the slope of this line?

1

0

Undefined

-1

Not Enough Information

Page 56: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Sorry

Page 57: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

Excellent

Page 58: Pre-Algebra Enrichment. Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90.

The End!


MATH VOCABULARY Intermediate. Acute Angle An angle that measures less than a right angle (90°).angleright angle.

MATH VOCABULARY Intermediate. Acute Angle An angle that measures less than a right angle (90°).angleright angle.

8.1 – Find Angle Measures in Polygons

8.1 – Find Angle Measures in Polygons

Table of Contents · A. Which angle measures 90 degrees? B. Which angle is greater than 90 degrees but less than 180 degrees? C. Which angle is less than 90 degrees? D. Which angle

Table of Contents · A. Which angle measures 90 degrees? B. Which angle is greater than 90 degrees but less than 180 degrees? C. Which angle is less than 90 degrees? D. Which angle

Shaft 90 degree angle changers, right angle 90 degree bevel gears drive, miter gearbox right angle, right angle 90 degree miter gears drive suppliers, manufacturers

Shaft 90 degree angle changers, right angle 90 degree bevel gears drive, miter gearbox right angle, right angle 90 degree miter gears drive suppliers, manufacturers

Angle and angle measures

Angle and angle measures

11.1 Angle Measures in Polygons

11.1 Angle Measures in Polygons

1.4 Angle Measures

1.4 Angle Measures

Unit 4 Math Vocabulary By Noah Morisi. Acute Angle An acute angle is an angle that measures out less than 90 degrees.

Unit 4 Math Vocabulary By Noah Morisi. Acute Angle An acute angle is an angle that measures out less than 90 degrees.

Classifying Triangles Angle Measures of Triangles.

Classifying Triangles Angle Measures of Triangles.

Inscribed Angle A measures _____ Arc BC measures _____ Central Angle measures _____.

Inscribed Angle A measures _____ Arc BC measures _____ Central Angle measures _____.

GB - (90 ANGLE)

GB - (90 ANGLE)

All Triangles= 180 degrees. Right Triangle One angle is 90 (a right angle) Right Triangle One angle is 90 (a right angle) Scalene No sides or angles.

All Triangles= 180 degrees. Right Triangle One angle is 90 (a right angle) Right Triangle One angle is 90 (a right angle) Scalene No sides or angles.

Everyday Math 3.3 Exploring Angle Measures. Math Message How might you prove that the measure of each angle of a square is 90 degrees? Be prepared to.

Everyday Math 3.3 Exploring Angle Measures. Math Message How might you prove that the measure of each angle of a square is 90 degrees? Be prepared to.

Find Unknown Angle Measures

Find Unknown Angle Measures

 · Web viewANGLE RELATIONSHIPS Learning Goals: I can recognize when an angle measures 90 o, 180 o, or 360 o. I can find unknown angle measures by reasoning about complementary and

 · Web viewANGLE RELATIONSHIPS Learning Goals: I can recognize when an angle measures 90 o, 180 o, or 360 o. I can find unknown angle measures by reasoning about complementary and

Tutorials--Angle Measures

Tutorials--Angle Measures

angles their An angle€¦ · Acute angle—An angle with a measure between 0° and 90°. Obtuse angle—An angle with a measure between 90° and 180°. Straight angle—An angle

angles their An angle€¦ · Acute angle—An angle with a measure between 0° and 90°. Obtuse angle—An angle with a measure between 90° and 180°. Straight angle—An angle

ANGLE HEADS MULTISPINDLE HEADS SPINDLE SPEEDERS … · 2019. 6. 12. · GA-L 90° Angle Head Extended 90° -Winkelkopf Verlängert GS 90° Slim Angle Head ... SC Spindle Speeder Schnelllaufspindel

ANGLE HEADS MULTISPINDLE HEADS SPINDLE SPEEDERS … · 2019. 6. 12. · GA-L 90° Angle Head Extended 90° -Winkelkopf Verlängert GS 90° Slim Angle Head ... SC Spindle Speeder Schnelllaufspindel

† Angle Measures - Home Page - Neely PTO...angle measures 180 . 3 12 11 10 9 8 7 6 5 4 2 1 3 12 11 10 9 8 7 6 5 4 2 right angle, 90 straight angle, 180 Here we show some angles and

† Angle Measures - Home Page - Neely PTO...angle measures 180 . 3 12 11 10 9 8 7 6 5 4 2 1 3 12 11 10 9 8 7 6 5 4 2 right angle, 90 straight angle, 180 Here we show some angles and

Dihedral Angle Entropy Measures for Intrinsically ...

Dihedral Angle Entropy Measures for Intrinsically ...