QUESTION IMAGE
Question
congruent? ○ yes ○ no
similar? ○ yes ○ no
congruent? ○ yes ○ no
similar? ○ yes ○ no
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.
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For the left pair (ellipse and circle):
Congruent? No
Similar? No
For the right pair (rectangle and square):
Congruent? No
Similar? No