Question

which pairs of figures below are congruent?
(the figures in the image are omitted here, and the following are the options for each figure pair:)
first pair of figures: congruent? ○ yes ○ no
second pair of figures: congruent? ○ yes ○ no
third pair of figures: congruent? ○ yes ○ no
fourth pair of figures: congruent? ○ yes ○ no

Explanation:

Step1: Define congruent figures

Congruent figures have identical shape and size.

Step2: Analyze top-left pair

Triangles have same shape, different size.
Conclusion: Not congruent (No)

Step3: Analyze top-right pair

Rectangles have different side lengths (different size).
Conclusion: Not congruent (No)

Step4: Analyze bottom-left pair

Shapes have identical shape and size (reflected).
Conclusion: Congruent (Yes)

Step5: Analyze bottom-right pair

Oval and circle have different shapes.
Conclusion: Not congruent (No)

Answer:

1. Top-left pair: No
2. Top-right pair: No
3. Bottom-left pair: Yes
4. Bottom-right pair: No