Question

Suppose △JMN≅△KQR .

Which congruency statements are true?

Select each correct answer.


NJ¯¯¯¯¯≅KQ¯¯¯¯¯¯

∠M≅∠Q

∠N≅∠M

QK¯¯¯¯¯¯≅MJ¯¯¯¯¯¯

∠R≅∠K

MN¯¯¯¯¯¯¯≅QR¯¯¯¯¯

Answer 1

The true statements are ∠M≅∠Q, QK¯¯¯¯¯¯≅MJ¯¯¯¯¯¯ and MN¯¯¯¯¯¯¯≅QR¯¯¯¯¯.

In order to determine these, we need to note that where the letter is listed in the original statement determines its congruency. Because they are both first J and K are always the same. This is the same for the ones in the middle (M and Q) and the ones at the end (K and J).

So as an example MN¯¯¯¯¯¯¯≅QR¯¯¯¯¯ is true because MN involves the middle and then first term. QR does the same and is therefore congruent.