Question

choose the image that has the correct markings for the congruent statement:
△mlk≅△mlr
a)
b)
c)
d)
d
b
c
a

Explanation:

Step1: Analyze the congruent statement

The congruent statement is \(\triangle MLK\cong\triangle MLR\). In congruent triangles, corresponding parts are equal. So, \(ML = ML\) (common side), \(LK=LR\), \(MK = MR\), \(\angle MLK=\angle MLR\), \(\angle LMK=\angle LMR\), \(\angle K=\angle R\).

Step2: Check each option

• Option A: The markings for the sides and angles do not match the corresponding parts of \(\triangle MLK\) and \(\triangle MLR\) as per the congruent statement.
• Option B: The markings for the sides \(LK = LR\) (two - hash marks), \(MK=MR\) (three - hash marks) and angles \(\angle MLK=\angle MLR\) (double - arc), \(\angle K=\angle R\) (single - arc) are correct.
• Option C: The side markings for \(LK\) and \(LR\) are incorrect.
• Option D: The side markings for \(LK\) and \(LR\) are incorrect.

Answer:

B.