QUESTION IMAGE
Question
which pairs of figures below are congruent? followed by a table with four figure pairs (circles, two l-shaped figures, two triangles, two rectangles/squares) each with congruent? and yes/no radio buttons
Response
To determine congruent figures, we check if they have the same shape and size (can be superimposed).
Top - Left (Circles):
- The first circle is larger, the second is smaller. Different sizes → No.
Top - Right (Two Shapes):
- The first shape has a notch, the second doesn’t. Different shapes → No.
Bottom - Left (Triangles):
- Both are right - angled triangles with the same leg lengths (visually, same size/shape, can be rotated to match) → Yes.
Bottom - Right (Squares/Rectangles?):
- One is a square (or larger rectangle), the other is a smaller rectangle. Different sizes → No.
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s (matching the order of the table):
- Top - Left: $\boldsymbol{\text{No}}$
- Top - Right: $\boldsymbol{\text{No}}$
- Bottom - Left: $\boldsymbol{\text{Yes}}$
- Bottom - Right: $\boldsymbol{\text{No}}$