Question

choose a polygon that would be a counterexample to the statement. * 1 point
images of polygons a, b, c, d, e, f
options: figure a, figure b, figure c, figure d (and others not fully shown)

Explanation:

To determine the counterexample, we analyze the polygons:

• Figure A: An isosceles triangle (two equal sides, one different) – if the statement assumes all sides equal (equilateral), A is a counterexample.
• Figure B: Appears equilateral (all sides equal).
• Figure C: A square (all sides equal).
• Figure D: A trapezoid with two equal non - parallel sides (not a counterexample for typical "all sides equal" claims).
• Figure E: A triangle with two equal sides (not a clear counterexample for "all sides equal").
• Figure F: A regular pentagon (all sides equal).

Since Figure A has two equal sides and one different (unlike equilateral polygons), it serves as a counterexample to a statement like "all polygons of this type have equal sides."

Answer:

Figure A