Quiz about Chapter 5: Triangle Congruence Theorems Review

Question 1

In this figure, $$\Delta VWB\ \cong\ \Delta RLC$$ . Which side must have the same length as $$\overline{BW}$$

Accepted Answer

$$\overline{CL}$$

Answer

$$\overline{RL}$$

Answer

$$\overline{RC}$$

Answer

$$\overline{VW}$$

Answer

$$\overline{VB}$$

Question 2

In this figure, $$\Delta LMN\ \cong\ \Delta PQR.\ What\ is\ the\ length\ of\ \overline{QR}$$ ?

Accepted Answer

6 cm

Answer

12 cm

Answer

3 cm

Answer

7 cm

Question 3

What additional information is needed to prove that $$\Delta LFM\ \cong\ \Delta KTR$$ by ASA Triangle Congruence Theorem? (Choose two options)

Accepted Answer

$$<L\ \cong<K$$

Accepted Answer

$$<M\ \cong\ <R$$

Answer

$$<L\ \cong\ <M$$

Answer

$$<F\ \cong\ <T$$

Answer

$$<M\ \cong\ $$

Question 4

What additional information is needed to prove $$\Delta FDS\ \cong\ \Delta RWE\ by\ SAS\ Theorem?$$

Accepted Answer

$$\overline{SF}$$ $$\cong\ \overline{WR}$$

Answer

$$\overline{SD}\cong\overline{WE}$$

Answer

$$\overline{DF}\cong\overline{RE}$$

Answer

$$<D\cong<E$$

Question 5

State which additional congruence statement is needed to prove $$\Delta ABC\cong\Delta DEF$$ by HL Triangle Congruence Theorem.

Accepted Answer

$$\overline{AC}\cong\overline{DF}$$

Answer

$$<C\cong<F$$

Answer

$$<A\cong<D$$

Answer

$$\overline{CB}\cong\overline{FE}$$

Question 6

What additional pair of corresponding angles must be true to prove that $$\Delta ABC\cong\Delta DEF\ $$ by AAS Triangle Congruence Theorem?

Accepted Answer

$$<C\cong<F$$

Answer

$$<A\cong<C$$

Answer

$$<A\cong<D$$

Answer

$$<F\cong<D$$

Question 7

Solve for x.

x=

Accepted Answer

85

Answer

95

Answer

70

Answer

75

Question 8

Solve for x.

x=

Accepted Answer

3

Answer

4

Answer

14

Answer

2

Chapter 5: Triangle Congruence Theorems Review

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