ΔLMN ≅ ΔOPQ, because of ASA
Option D is correct.
What is ASA Congruence Rule?
ASA Congruence rule stands for Angle-Side-Angle. Under this rule, two triangles are said to be congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle. Look at the image given below to determine if the two given triangles, Δ ABC and ΔXYZ are congruent by the ASA rule.
How to apply ASA Congruence Rule?
In order to check if the given triangles are congruent, the best way is to superimpose them, put them one over the other. To apply the ASA congruence rule for any two given triangles, follow the steps as given below:
Step 1: Look at the triangles and check for the given angles and sides.
Step 2: Make comparisons if two angles with one included side of a triangle are equal to the corresponding two angles and included side of the other triangle.
Step 3: If the above conditions are satisfied, the given triangles are considered congruent by the ASA rule.
Given
<L ≅ <O
<M ≅ <P
[tex]\overline L \overline N = \overline O \overline Q[/tex] (Side)
By ASA congruence theorem
ΔLMN = ΔOPQ
Option D is correct.
Find out more information about ASA congruence rule here
https://brainly.com/question/2848632
#SPJ2
