501 Geometry Questions

Answers

Set 27

142. d. Congruency cannot be determined.In this example, you were
     given Angle-Side-Side which is a postulate that proves congruency.


143. b. SAS.The angle given is the included angle between the two
     sides given, and since all of the parts are corresponding, ΔABC and
     ΔLMN are congruent based on the Side-Angle-Side postulate.


144. d. Congruency cannot be determined.In this example, you were
     given Angle-Angle-Angle which is a postulate that proves similarity,
     but does not prove congruency. This fact was discussed in the last
     part of this chapter.

Set 28

145. ΔLNM and ΔOQP

Since ∠L50° and ∠QOP50°, then ∠L is corresponding to

∠O. Similarly since∠N 60°, and ∠Q60°, then∠Nis

corresponding to ∠Q. Therefore, it is correct to say that ΔLNM

corresponds toΔOQP. Any order or direction will work when

naming these triangles as long as angles L and O, N and Q, and M

and P are corresponding.

146. LMOP
     MNPQ
     NLQO
     (Always coordinate corresponding endpoints.)


147. Angle-Side-Angle postulate:

∠N ∠Q

LNQO

∠L ∠O

501 Geometry Questions