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which pairs of figures below are congruent? followed by a table with fo…

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

Explanation:

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.

Answer:

s (matching the order of the table):

  1. Top - Left: $\boldsymbol{\text{No}}$
  2. Top - Right: $\boldsymbol{\text{No}}$
  3. Bottom - Left: $\boldsymbol{\text{Yes}}$
  4. Bottom - Right: $\boldsymbol{\text{No}}$