Chapter 4: Triangles and Congruence

Find the value of x.

• 145

• 125

• 135

• 45

 $What\ is\ m\angle W\ if\ m\angle X=59\ and\ m\angle XYZ=137?$ 

• 88

• 68

• 31

• 78

Find measure of angle 1.

• 68

• 56

• 62

• 50

The two triangles in the diagram are congruent. Find the values of x and y.

• x = 24.2, y = 20

• x = 21.2, y = 21

• x = 13.8, y = 14

• x = 15.6, y = 18

 $Which\ angle\ corresponds\ to\ \angle T\ if\ \Delta DMT\cong\Delta RGP?$  

• angle P

• angle D

• angle R

• angle R

Find the values of x and y.

• x = 12, y = 54

• x = 12, y = 108

• x = 36, y = 54

• x = 36, y = 108

Triangle DEF is congruent to triangle DGF by the ____________.

• ASA Postulate

• SSS Postulate

• SAS Postulate

• SSA Postulate

Which postulate can be used to prove the triangles congruent?

• SSS Postulate

• SAS Postulate

• AAA Postulate

• ASA Postulate

In the figure, line FG intersects line DE at H. Which additional fact is needed to prove that triangle GHD is congruent to triangle FEH by ASA?

•  $\angle DHG\cong\angle EHF$  

•  $\overline{DH}\cong\overline{EH}$  

•  $\overline{DG}\cong\overline{FE}$  

•  $\overline{GH}\cong\overline{FH}$  

Triangle ABQ is congruent to triangle CBQ by the __________.

• AAA Postulate

• SAS Postulate

• ASA Postulate

• SSS Postulate