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

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

Pre-Algebra Enrichment

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.

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

Straight Angle

Obtuse Angle

Acute Angle

Sorry!

Your answer was incorrect, please try again!

Correct!

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

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

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

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

Equilateral

Isosceles

Scalene

OOPS!

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

again!

Congratulations!

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

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

An acute triangle

An isosceles triangle

An obtuse triangle

A right triangle

Sorry!

Your answer was incorrect, please try again!

Correct!

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

Question #3What kind of triangle is this:

Right Triangle

Scalene Triangle

Neither Right or Scalene

Both Right and Scalene

Incorrect!

Correct!

General Triangle Properties

Triangles are three-sided polygons.

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

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

360

240

A triangle cannot have 4 sides.

OOPS!

Excellent!

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

180 degrees

270 degrees

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

Sorry!

Great Job!

Angle Pairs:

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

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

Question #6The following angles are considered…

Complementary

Supplementary

Complementary and Supplementary

None of the Above

Incorrect

Correct!

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

Hexagon, 540

Hexagon, 720

Heptagon, 540

Heptagon, 720

OOPS!

Excellent!

Congruency

Congruent is another word for equal.

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

Sorry!

Great Job

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

True

False

Incorrect

Correct

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.

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

• Corresponding Angles

Alternate Interior Angles

Alternate Exterior Angles

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OOPS!

Excellent!

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.

Wrong Answer

Correct

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.

OOPS!

Great Job!

Slope

The slope of any line is: Vertical Change Horizontal Change

Which is the same as: Rise Run

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

• 1

• -1

2

-2

QuickTime™ and aTIFF (Uncompressed) decompressor

are needed to see this picture.

Incorrect

Correct

Question #14What is the slope of this line?

0

1

Not enough information.

OOPS!

Great Job

Question # 15What is the slope of this line?

1

0

Undefined

-1

Not Enough Information

Sorry

Excellent

The End!