Geometry EOC Review: Congruence & Similarity

Triangle 𝐸𝐹𝐺 is congruent to triangle 𝐽𝐾𝐿.

What is 𝐾𝐿?

Mathematical Equivalence

ON

In the diagram below Δ𝑃𝑄𝑅≅Δ𝐽𝐾𝐿. Find the values of 𝑥, 𝑦, and 𝑧.

• 𝑥=40°, 𝑦=65°, 𝑧=75°

• 𝑥=40°, 𝑦=75°, 𝑧=65°

• 𝑥=75°, 𝑦=65°, 𝑧=40°

• 𝑥=75°, 𝑦=40°, 𝑧=65°

In the diagram Δ𝐴𝐵𝐶≅Δ𝐷𝐹𝐺. Select ALL the true statements.

• 𝐴𝐵=11

• 𝐷𝐺=12

• 𝑚∠𝐷=35°

• 𝑚∠𝐹=35°

• 𝑚∠𝐺=35°

In the figure Δ𝐴𝐵𝐶≅Δ𝐷𝐶𝐵. Select ALL the true statements.

• 𝑥=1

• 𝑥=2

• 𝐴𝐶=10

• ∠𝐴𝐵𝐶≅∠𝐶𝐵𝐷

• ∠𝐴𝐶𝐵≅∠𝐶𝐵𝐷

Triangle 𝐸𝑅𝑇 is congruent to triangle 𝐶𝑉𝐵.

• The measure of ∠𝐸 is 32°.

• The measure of ∠𝐶 is (7𝑥+4)°.

• The measure of ∠𝐵 is (15𝑥+7)°.

What is the measure of ∠𝑉?

• 𝑚∠𝑉=4°

• 𝑚∠𝑉=32°

• 𝑚∠𝑉=67°

• 𝑚∠𝑉=81°

If Δ𝐴𝐵𝐶≅Δ𝑆𝐷𝐹 and 𝑚∠𝐴=3𝑥+5, 𝑚∠𝐵=5𝑥−9 and 𝑚∠𝑆=1.5𝑥+17. Find 𝑚∠𝐵.

• 𝑚∠𝐵=7°

• 𝑚∠𝐵=8°

• 𝑚∠𝐵=26°

• 𝑚∠𝐵=31°

• 𝑈𝑆=6

• 𝑈𝑆=8

• 𝑈𝑆=14

• 𝑈𝑆=20

In this diagram, Δ𝐽𝐾𝐿~Δ𝑆𝑇𝑈

Based on the measurements in the diagram, what is the measure of ∠𝐾?

• 15°

• 30°

• 45°

• 60°

In the figure Δ𝑆𝑇𝑈≅Δ𝑊𝑋𝑌. What are the values of 𝑥, 𝑦, and 𝑧?

• 𝑥=92°, 𝑦=6.5, 𝑧=4.4

• 𝑥=92°, 𝑦=10, 𝑧=3

• 𝑥=23°, 𝑦=6.5, 𝑧=4.4

• 𝑥=23°, 𝑦=10, 𝑧=3

Triangle 𝐸𝐹𝐺 is similar to triangle 𝐽𝐾𝐿.

• The measure of ∠𝐸 is 32°.

• The measure of ∠𝐾 is 49°.

What is the measure of ∠𝐹?

• 32°

• 49°

• 81°

• 99°