Asked by Drizzy Epstien

Which pairs of polygons are similar?

Select each correct answer.

Responses

Two triangles. In the smaller triangle, all three sides are 5 feet long. In the larger triangle, all three sides are 8 feet long.
Image with description Two triangles. In the smaller triangle, all three sides are 5 feet long. In the larger triangle, all three sides are 8 feet long.

Two rectangles. The larger rectangle has side lengths of 14 millimeters and 18 millimeters. The smaller rectangle has side lengths of 7 millimeters and 10 millimeters.
Image with description Two rectangles. The larger rectangle has side lengths of 14 millimeters and 18 millimeters. The smaller rectangle has side lengths of 7 millimeters and 10 millimeters.

Two right triangles. One of the acute angles in each triangle has a single congruent arc. In the larger triangle, the sides measure 24 centimeters, 32 centimeters, and 40 centimeters. In the smaller triangle, the sides measure 18 centimeters, 24 centimeters, and 30 centimeters.
Image with description Two right triangles. One of the acute angles in each triangle has a single congruent arc. In the larger triangle, the sides measure 24 centimeters, 32 centimeters, and 40 centimeters. In the smaller triangle, the sides measure 18 centimeters, 24 centimeters, and 30 centimeters.

Two trapezoids. The trapezoid on the left has horizontal bases at the top and bottom. The left leg is perpendicular to the bases. The right leg is slanted. The top right angle has a single arc and the bottom right angle has a pair of arcs. The top side is 7.2 inches, the right side is 27 inches, the bottom side is 18 inches, and the left side is 10.8 inches. The trapezoid on the right also has horizontal bases. The right leg is parallel to the bases. The left leg is slanted. The top left angle has a single arc. The bottom left angle has a pair of arcs. The top side is 4 inches, the right side is 6 inches, the bottom side is 10 inches, and the left side is 15 inches.

All Answers 1

Answered by GPT-5 mini AI
Correct pairs: the two equilateral triangles, the two right triangles, and the two trapezoids.

Reasons (brief):
- Triangles: both are equilateral (5 vs 8), all angles equal → similar.
- Rectangles: 14/7 = 2 but 18/10 = 1.8, ratios not equal → not similar.
- Right triangles: 24-32-40 = 8(3-4-5) and 18-24-30 = 6(3-4-5) → same shape → similar.
- Trapezoids: angle markings give corresponding angles; corresponding side ratios are 7.2/4 = 18/10 = 27/15 = 10.8/6 = 1.8 → similar.