Question

which pairs of figures are congruent? which pairs are similar? congruent? yes no similar? yes no congruent? yes no similar? yes no congruent? yes no similar? yes no congruent? yes no similar? yes no

Explanation:

• Congruent: Congruent figures have the same shape and size.
• First pair: Different sizes (one rectangle is taller - narrower, the other is shorter - wider), so not congruent.
• Second pair: Different sizes (one triangle is larger), so not congruent.
• Third pair: Same shape and size (just rotated), so congruent.
• Fourth pair: One is a circle, the other is an ellipse (different shapes), so not congruent.
• Similar: Similar figures have the same shape (corresponding angles equal, sides in proportion).
• First pair: Different shapes (one is a rectangle with different side - length ratios compared to the other), so not similar.
• Second pair: Same shape (triangles), so similar.
• Third pair: Same shape (just rotated, so similar as congruent figures are a special case of similar figures with a scale factor of 1).
• Fourth pair: Different shapes (circle and ellipse), so not similar.

Answer:

• First pair: Congruent? No; Similar? No
• Second pair: Congruent? No; Similar? Yes
• Third pair: Congruent? Yes; Similar? Yes
• Fourth pair: Congruent? No; Similar? No