Chapter 5: Triangle Congruence Theorems Review

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

In the figure, $$\Delta ABC\ \cong\ \Delta DEF$$ . What is the value of $$X$$ ?

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

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

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

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

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

Write a congruence statement for the following figures. ​ $$\Delta$$ ​ (a)   $$\cong\Delta$$ ​ (b)   by ​ (c)   Triangle Congruence Theorem

Write a congruence statement and state which theorem is used to determine if the following triangles are congruent.​ (a)   $$\cong$$ ​ (b)   by ​ (c)   triangle Congruence theorem.

Write a congruence statement and state which theorem is used to determine if the following triangles are congruent. $$\Delta MGW\cong$$ ​ (a)   by ​ ​ (b)   Triangle Congruence Theorem.