NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities...

17
NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities 4.Triangle Congruency SSS and SAS 5.Proving Triangles are Congruent ASA and AAS 6.Using Congruent Triangles 7.Perpendicular and Angle Bisector 8.Reflections and symmetry

Transcript of NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities...

Page 1: NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities 4.Triangle Congruency SSS and SAS 5.Proving Triangles are Congruent.

NOTEBOOK CHECK

1. Triangle Sum 2. Isosceles and equilateral Triangles3. Triangle Inequalities 4. Triangle Congruency SSS and SAS 5. Proving Triangles are Congruent ASA and AAS6. Using Congruent Triangles 7. Perpendicular and Angle Bisector 8. Reflections and symmetry

Page 2: NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities 4.Triangle Congruency SSS and SAS 5.Proving Triangles are Congruent.

Geometry Unit 3 Review

Page 3: NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities 4.Triangle Congruency SSS and SAS 5.Proving Triangles are Congruent.

P

RQ

14 18

23

What is the smallest angle?

What is the largest angle?

Page 4: NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities 4.Triangle Congruency SSS and SAS 5.Proving Triangles are Congruent.

A

B

C

In the figure BD bisects AC

D

Name all the congruent parts

Page 5: NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities 4.Triangle Congruency SSS and SAS 5.Proving Triangles are Congruent.

1

2 3

Angle 1 = (2x -3)Angle 2 = (x)Angle 3 = (3x -15)

Find the measure of angle 3?

Page 6: NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities 4.Triangle Congruency SSS and SAS 5.Proving Triangles are Congruent.

U

V

W

X YGiven: <U = < Y, XV = VWProve: UVW = YVW

Make a two Column proof.

Statement Reason

Page 7: NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities 4.Triangle Congruency SSS and SAS 5.Proving Triangles are Congruent.

A

B

C D

E

F

< BCA = 47 <EFD = 74

Line ______ is greater than (>) line ______

Page 8: NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities 4.Triangle Congruency SSS and SAS 5.Proving Triangles are Congruent.

U

V

W

X YGiven: Line XW and YU bisect each other

Make a two Column proof.

Statement Reason

Page 9: NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities 4.Triangle Congruency SSS and SAS 5.Proving Triangles are Congruent.

What is the measure of one interior angle of the regular polygon?

Page 10: NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities 4.Triangle Congruency SSS and SAS 5.Proving Triangles are Congruent.

What is the measure of the exterior angles of the regular polygon?

The exterior angle of a regular polygon is 30. How many sides does the polygon have?

Page 11: NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities 4.Triangle Congruency SSS and SAS 5.Proving Triangles are Congruent.

Determine whether the side lengths can form a triangle

• 5, 8, 16• 20, 24, 40• 7, 7, 14• 31, 45, 50

Page 12: NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities 4.Triangle Congruency SSS and SAS 5.Proving Triangles are Congruent.

W

X Y

Z

XW // YZ and XY // WZProve < W = < Y

Page 13: NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities 4.Triangle Congruency SSS and SAS 5.Proving Triangles are Congruent.

List the sides in order from shortest to longest

x

y

z27

45

108

Page 14: NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities 4.Triangle Congruency SSS and SAS 5.Proving Triangles are Congruent.

What could the length of the missing side of the triangle be

9, 12, ?10, 15, ? 5, 7, ?

Page 15: NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities 4.Triangle Congruency SSS and SAS 5.Proving Triangles are Congruent.

What information do you need to prove that the triangles are congruent by SAS?

B

A

C

D

E

F

75

75

Page 16: NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities 4.Triangle Congruency SSS and SAS 5.Proving Triangles are Congruent.

What is the value of X

2x + 40

x + 30

110

65

Page 17: NOTEBOOK CHECK 1.Triangle Sum 2.Isosceles and equilateral Triangles 3.Triangle Inequalities 4.Triangle Congruency SSS and SAS 5.Proving Triangles are Congruent.

A regular polygon has an interior angle of 135, what would be the sum of the measures of the interior angles.