Congruent Triangles and Trigonometry

Find side length X.

• 16

• 18

• 2.4

• 15

Find side length X.

• 30

• 25

• 15

• 40

• 18.9
• 19.5
• 47
• 27.5

The triangles are congruent. Which of the following statements must be true?

• ∠A ≅ ∠D

• ∠B ≅ ∠E

• AB ≅ DE

• AB ≅ EF

∆ABC ≅ ∆LMN. Which statement is NOT true?

• LM ≅ AB

• ∆CAB ≅ ∆NLM

• ∠C ≅ ∠N

• BC ≅ ML

The triangles are congruent. Which of the following statements must be true?

• ∠A ≅ ∠D

• ∠B ≅ ∠E

• AB ≅ DE

• BC ≅ FD

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

• 𝑥=1

• 𝑥=2

• 𝐴𝐶=10

• ∠𝐴𝐵𝐶≅∠𝐶𝐵𝐷

• ∠𝐴𝐶𝐵≅∠𝐶𝐵𝐷

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

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

• 𝐴𝐵=11

• 𝐷𝐺=12

• 𝑚∠𝐷=35°

• 𝑚∠𝐹=35°

• 𝑚∠𝐺=35°