Question

which pairs of figures are congruent? which pairs are similar?
(first figure pair: two l - shaped figures; congruent? ∘ yes ∘ no; similar? ∘ yes ∘ no)
(second figure pair: two circles of different sizes; congruent? ∘ yes ∘ no; similar? ∘ yes ∘ no)
(third figure pair: two triangles of different sizes; congruent? ∘ yes ∘ no; similar? ∘ yes ∘ no)
(fourth figure pair: a square and a rectangle; congruent? ∘ yes ∘ no; similar? ∘ yes ∘ no)

Explanation:

Step1: Define congruent/similar

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

Step2: Check top-left pair

Two L-shapes: Same shape and size → Congruent=Yes, Similar=Yes.

Step3: Check top-right pair

Two circles: Same shape, different sizes → Congruent=No, Similar=Yes.

Step4: Check bottom-left pair

Two triangles: Same shape, proportional sizes → Congruent=No, Similar=Yes.

Step5: Check bottom-right pair

Square vs rectangle: Different shapes → Congruent=No, Similar=No.

Answer:

Top-left pair: Congruent? Yes, Similar? Yes
Top-right pair: Congruent? No, Similar? Yes
Bottom-left pair: Congruent? No, Similar? Yes
Bottom-right pair: Congruent? No, Similar? No