Triangles J K L and P Q R are connected at points K and Q. The lengths of sides J K and Q P are congruent and the lengths of sides K L and K R are congruent. Angles L K J and R Q P are congruent.
Which rigid transformations would map ΔJKL onto ΔPQR? Select the three correct answers.

a reflection only
a rotation only
a rotation and a reflection
a translation and a reflection
a translation only

Triangles that are identical in size and shape are said to be congruent triangles. Inferred from this is that the matching sides and angles are equal. Without checking each of the triangles' sides and angles, we can determine whether the two triangles are congruent.

Rule of Congruency:

1- SAS (Side-Angle-Side): Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle.

2- ASA (Angle-Side-Angle): Two triangles are congruent if two triangles and the included side of one triangle are equal to two angles and the included side of the other triangle.

3- AAS (Angle-Angle-Side): Two triangles are congruent if any two pairs of angles and one pair of corresponding sides are equal.

4- SSS (Side-Side-Side): If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

5- RHS (Right angle- Hypotenuse-Side): If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent.

Since JK= QP
KL= KR
Angle LKJ= Angle QRP

So Δ LKJ ≅ Δ QRP.

Learn more about Congruency here
https://brainly.com/question/2102943

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