Angle Relationships & Triangles Assessment

Angle Relationships & Triangles Assessment

INTERIOR Angles of Triangles

The angles inside the triangle MUST add up to equal 180°

Multiple Choice

1. What is the sum of interior angles of a triangle?

• 60 degrees

• 90 degrees

• 180 degrees

• 360 degrees

Multiple Choice

2. Which set of angle measures could be the interior angles of a triangle?

• 90°, 90°, 90°

• 80°, 80°, 200°

• 40°, 50°, 60°

• 15°, 30°, 135°

Multiple Choice

3. If two of the angles of a triangle are 30 and 70 degrees, the third angle measures...

• 80

• 100

• 60

• 90

Multiple Choice

4. What is the measure of the missing angle?

• 140

• 130

• 50

• 90

Multiple Choice

5. Find x.

• 52 degrees

• 31 degrees

• 103 degrees

• 45 degrees

Multiple Choice

6. Which equation could be used to find the value of x in the triangle below?

• A. 12x + 20 = 180

• B. 12x = 180

• C. 12x – 20 = 180

• D. 8x – 10 = 4x + 10

EXTERIOR Angles of Triangles

*The exterior angle of a triangle is equal to the sum of the two opposite (remote) interior angles.

*For example: Based off the image; Angle 1 + Angle 2 = Angle 4

Multiple Choice

7. Which of the following angles can you add together to equal angle d?

• Angle a and Angle b

• Angle b and Angle c

• Angle a and Angle c

• Angle a and Angle b and Angle c

Multiple Choice

8. What is the value of the missing angle?

• 105

• 80

• 55

• 25

Multiple Choice

9. Find the missing angle x°.

_{The figure is not drawn to scale}.

• 19

• 29

• 43

• 66

Multiple Choice

10. Find the missing angle TSR.

• A

• B

• C

• D

SIMILAR Triangles

*Two corresponding congruent angles.

*Corresponding sides are proportional.

AA ~

Angle - Angle Similarity

Multiple Choice

11. If the two triangles are similar, what is <F ?

• 95°

• 85°

• 75°

• 60°

Multiple Choice

12. In triangle ABC, m∠A = 40° and m∠B = 80°. Which of the following triangles is similar to triangle ABC?

SSS ~

Side Side Side Similarity

Multiple Choice

13. Which proportion could be used to find the missing side length, x?

• D. None of the above. There is not enough information to solve for the missing side length.

ANGLE RELATIONSHIPS

CONGRUENT - Angles equal (=) to each other.

SUPPLEMENTARY - Angles are added together = 180 degrees.

Multiple Choice

14. Find  $m\angle1.$  

•  $131\degree$  

•  $180\degree$  

•  $49\degree$  

Multiple Choice

15. Find  $m\angle2.$  

•  $131\degree$  

•  $180\degree$  

•  $49\degree$  

Multiple Choice

16. Lines r and s are cut by a transversal. What value of x proves r ∥ s?

• 43

• 37

• 143

• 37

Multiple Select

17. We assume that, since the lines are parallel, Corresponding Angles are congruent - for example  $\angle5\cong\angle1$  .  Check THREE boxes with Corresponding Angles.

•  $\angle1\ and\ \angle2$  
  

•  $\angle2\ and\ \angle6$  
  

•  $\angle4\ and\ \angle8$  
  

•  $\angle3\ and\ \angle7$  
  

Multiple Choice

18. Which equation would you use?

• 2x-6=7x+4

• 2x-6+7x+4=90

• 2x-6+7x+4=180

• 2x-6+7x+4=360

Fill in the Blank

19. Lines A and B are parallel lines cut by a transversal. Find the value of x.

(answer should be written and just the number. ex: 7)

Multiple Choice

20. Lines A and B are parallel lines. Find the measures of angles 3.

• 33

• 57

• 90