Question

which pairs of figures are congruent? which pairs are similar?
(first figure: two squares, one big one small)
congruent? ⃝ yes ⃝ no
similar? ⃝ yes ⃝ no
(second figure: two right triangles, same shape and size?)
congruent? ⃝ yes ⃝ no
similar? ⃝ yes ⃝ no
(third figure: a circle and an ellipse)
congruent? ⃝ yes ⃝ no
similar? ⃝ yes ⃝ no
(fourth figure: two l - shaped figures, same shape and size?)
congruent? ⃝ yes ⃝ no
similar? ⃝ yes ⃝ no

Explanation:

• Top-left pair (squares): Same shape, different sizes → not congruent, similar.
• Top-right pair (triangles): Same shape and size → congruent, thus similar.
• Bottom-left pair (circle and oval): Different shapes → not congruent, not similar.
• Bottom-right pair (L-shapes): Same shape and size → congruent, thus similar.

Answer:

Top-left: Congruent? No; Similar? Yes
Top-right: Congruent? Yes; Similar? Yes
Bottom-left: Congruent? No; Similar? No
Bottom-right: Congruent? Yes; Similar? Yes