Similar Triangles, Angles and Proportions

For each pair of similar triangles, write a proportion that can be used to calculate the length of the missing side, x. Then, determine the value of x. a. △ABC is similar to △XYZ. Given: Triangle ABC with AB = 5, BC = 7, AC = 5. Triangle XYZ with XY = 10, YZ = x, XZ = 10. What is the value of x?

• x = 14

• x = 10

• x = 7

• x = 5

Tags

CCSS.HSG.SRT.A.2

Determine the value of x. △JKL is similar to △PQR. Given: Triangle JKL with JK = 1.5, KL = 2, LJ = 4.5. Triangle PQR with PQ = 4.5, QR = 6, RP = x. What is the value of x?

• x = 13.5

• x = 9

• x = 3

• x = 6.5

Tags

CCSS.HSG.SRT.A.2

List all of the angle pairs that are supplementary.

• (1, 2), (3, 4), (2, 5), (1, 4), (3, 5)

• (1, 3), (2, 4), (1, 5), (2, 3), (4, 5)

• (1, 4), (2, 3), (3, 5), (1, 5), (2, 4)

• (2, 4), (1, 3), (3, 5), (1, 5), (2, 5)

Tags

CCSS.7.G.B.5

List all of the angle pairs that are complementary.

• (1, 3), (2, 4)

• (1, 2), (3, 4)

• (2, 3), (1, 4)

• (1, 4), (2, 3)

Tags

CCSS.7.G.B.5

Determine the measure of angle 2.

• 90°

• 60°

• 45°

• 120°

Tags

CCSS.7.G.B.5

Describe the relationship between line AE and ray PC.

• Line AE and ray PC are perpendicular to each other.

• Line AE and ray PC are parallel to each other.

• Line AE and ray PC overlap completely.

• Line AE and ray PC do not intersect at any point.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Determine the measure of the unknown angle(s) in the triangle with angles (x + 28)°, 65°, and 37°.

• x = 50°

• x = 45°

• x = 60°

• x = 55°

Tags

CCSS.8.G.A.5

Determine the measure of the unknown angle(s) in the triangle with angles (3x + 38)°, (x + 52)°, and 34°.

• x = 14°

• x = 10°

• x = 18°

• x = 22°

Tags

CCSS.8.G.A.5

Determine the measure of the unknown angle(s) in the triangle with angles (2x + 16)°, (5x + 5)°, and 117°.

• x = 8°

• x = 10°

• x = 12°

• x = 15°

Tags

CCSS.8.G.A.5

Determine the measure of the base angles of an isosceles triangle when the non-base angle is 36°.

• 72°

• 54°

• 60°

• 45°

Tags

CCSS.8.G.A.5