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congruent? ○ yes ○ no similar? ○ yes ○ no congruent? ○ yes ○ no similar…

Question

congruent? ○ yes ○ no
similar? ○ yes ○ no
congruent? ○ yes ○ no
similar? ○ yes ○ no

Explanation:

Step1: Analyze first pair (ellipse & circle)

Congruence check:

Congruent shapes must have identical size and shape. An ellipse has 2 different axis lengths, a circle has equal radii. They are not congruent.

Similarity check:

Similar shapes have proportional corresponding sides/features and same shape. A circle is a special case of an ellipse (both axes equal), but an ellipse (non-circular) cannot be scaled to match a circle (their curvature profiles don't scale uniformly). They are not similar.

Step2: Analyze second pair (rectangle & square)

Congruence check:

Congruent shapes need identical size and shape. The rectangle has different side lengths, the square has equal sides. They are not congruent.

Similarity check:

Similar shapes have proportional sides and same shape. A square is a special rectangle with all sides equal, but a non-square rectangle has side ratio $w:l
eq 1:1$, which cannot be scaled to match a square's 1:1 ratio. They are not similar.

Answer:

For the left pair (ellipse and circle):
Congruent? No
Similar? No

For the right pair (rectangle and square):
Congruent? No
Similar? No