Test Objectives
  • Demonstrate the ability to find unknown angle measures
  • Demonstrate the ability to find unknown side lengths in similar triangles
Angle Relationships & Similar Triangles Practice Test:

#1:

Instructions: m and n are parallel lines. Find the measure of the two marked angles.

a)

transversal intersecting two parallel lines

#2:

Instructions: m and n are parallel lines. Find the measure of all 8 angles.

a)
The measure of angle 1 is (-15x + 70)°
The measure of angle 7 is (13x + 104)°

transversal intersecting two parallel lines

#3:

Instructions: Find the measure of all 3 angles.

a)
The measure of angle 1 is (2x + 25)°
The measure of angle 2 is (3x - 20)°
The measure of angle 3 is (6x - 100)°

triangle with 3 angles marked as angle 1, 2, and 3

#4:

Instructions: Find all unknown angle measures in each pair of similar triangles.

a)
Angle A is (12x - 12)°
Angle F is (5x - 25)°
Angle C is 30°

similar triangles

#5:

Instructions: Find the lengths of all unknown sides for the similar triangles.

a)
Side AB has length of 2.5
Side AC has length of 1.5
Side CB has length of 2.5
Side DE has length of 4

similar triangles
Written Solutions:

#1:

Solutions:

a) 50°


#2:

Solutions:

a) Measure of Angles 1, 4, 5, 8: 115°
Measure of Angles 2, 3, 6, 7: 65°


#3:

Solutions:

a) Measure of Angle 1: 75°
Measure of Angle 2: 55°
Measure of Angle 3: 50°


#4:

Solutions:

a) Measure of Angle A and Angle E is 120°
Measure of Angles B, C, D, and F is 30°


#5:

Solutions:

a) Side DF has length 2.4
Side FE has length 4