Geometry Benchmark Review

Find the distance between BD.

Answer explanation

Use the distance formula in Desmos. Use the points (0,2) and (4,0). You can type the answer choices in Desmos to see which one matches your answer.

Which condition will prove that line l is parallel to line m?

• ∠1 ≅ ∠3

• ∠3 ≅ ∠5

• ∠1 ≅ ∠6

• ∠6 ≅ ∠5

• WN, NP, WP

• NP, WN, WP

• WP, NP, WN

• WP, WN, NP

Answer explanation

Find the missing angle first.

Are the triangles congruent, if yes, why?

• SSS

• SAS

• ASA

• Not Congruent

If the triangles are congruent, solve for x.

• 5

• 4

• 3

• 2

Answer explanation

Match the sides together. 4x-7=31

State the postulate that proves these triangles are similar.

• SSS

• AA

• SAS

• Not similar

What is the value of x?

• 17.30

• 11.33

• 0.06

• 23.82

Find side AB?

• 20 m

• 5 m

• 11.54 m

• 8.66 m

Answer explanation

sin(60)=x/10

Which of the following could represent the sides of a triangle? Select all that apply.

• 6, 12, 25

• 9, 22, 29

• 42, 15, 57

• 33, 11, 41

Answer explanation

small+medium>big

If two sides of a triangles are 63 inches and 26 inches, which cannot be the length of the third side?

• 37 inches

• 41 inches

• 80 inches

• 88 inches

Answer explanation

Find the range of the triangle. 63-26=37 and 63+26=89, so the third side must be 37<x<89