Question

which pairs of figures are congruent? which pairs are similar?

first pair (triangles):
congruent? ∘ yes ∘ no
similar? ∘ yes ∘ no

second pair (t - shaped figures):
congruent? ∘ yes ∘ no
similar? ∘ yes ∘ no

third pair (circle and oval):
congruent? ∘ yes ∘ no
similar? ∘ yes ∘ no

fourth pair (rectangles):
congruent? ∘ yes ∘ no
similar? ∘ yes ∘ no

Explanation:

Step1: Define congruent/similar

Congruent: Same shape + same size.
Similar: Same shape, proportional sizes.

Step2: Analyze top-left pair

Triangles: Different shape (one is shallow, one is steep).
Congruent? No. Similar? No.

Step3: Analyze top-right pair

Shapes: Same shape, different size.
Congruent? No. Similar? Yes.

Step4: Analyze bottom-left pair

Circle and oval: Different shape.
Congruent? No. Similar? No.

Step5: Analyze bottom-right pair

Rectangles: Same shape, proportional side lengths (1:2 ratio).
Congruent? No. Similar? Yes.

Answer:

Top-left pair:
Congruent? No
Similar? No

Top-right pair:
Congruent? No
Similar? Yes

Bottom-left pair:
Congruent? No
Similar? No

Bottom-right pair:
Congruent? No
Similar? Yes