Question

which pairs of figures below are congruent? (there are four groups of figures in the image, each with yes and no options to determine if the pair of figures is congruent.)

Explanation:

Step1: Define congruent figures

Congruent figures have identical shape and size, can be mapped onto each other via rigid transformations (translation, rotation, reflection).

Step2: Evaluate top-left pair

The two triangles have same shape but different sizes.
Conclusion: Not congruent (select No)

Step3: Evaluate top-right pair

One figure is an oval, the other is a circle; different shapes.
Conclusion: Not congruent (select No)

Step4: Evaluate bottom-left pair

The two L-shaped figures have identical shape and size (one is a rotation of the other).
Conclusion: Congruent (select Yes)

Step5: Evaluate bottom-right pair

The two rectangles have different sizes.
Conclusion: Not congruent (select No)

Answer:

• Top-left pair: No
• Top-right pair: No
• Bottom-left pair: Yes
• Bottom-right pair: No