Question

topic practice a. consider the figures. make a conjecture about which figures are congruent to the original figure shown in the center. then, use patty paper to investigate your conjecture. finally, justify your conjecture by stating how you can move from the original figure to each congruent figure by sliding, flipping, or spinning the original figure.

Explanation:

Step1: Recall congruence definition

Congruent figures have same shape and size, related by rigid motions (slide, flip, spin).

Step2: Analyze each figure

• Figure A: Same shape/size as original. Can be rotated (spun) to match.
• Figure B: Different shape (bottom is arrow, original is house - like). Not congruent.
• Figure C: Smaller size. Not congruent.
• Figure D: Different shape (simpler house). Not congruent.
• Figure E: Same shape/size. Can be rotated (spun) to match.
• Figure F: Different shape (bottom is arrow, original is house - like). Not congruent.
• Figure G: Same shape/size. Can be flipped (reflected) or rotated to match.
• Figure H: Different shape (has a chimney). Not congruent.

Answer:

Congruent figures to the original are A, E, and G.

• A: Rotate (spin) the original to match A.
• E: Rotate (spin) the original to match E.
• G: Flip (reflect) or rotate the original to match G.

(Justification: They have the same shape and size, related by rigid motions (slide, flip, spin) without resizing.)