Question

1. two trapezoids are shown. describe a sequence of transformations that take isosceles trapezoid t to its image t.
2. quadrilateral abcd is a rectangle. trapezoid aef b congruent to trapezoid cfgd. g is the mid - point of ef. select the descriptions of rigid transformations that take
3. five polygons are shown.

select all the figures with rotational symmetry. (not including 0° or 360°)
image a: right, isosceles triangle
image b: rectangle
image c: square
image d: regular pentagon
image e: regular hexagon

Explanation:

Step1: Recall rotational - symmetry concept

A figure has rotational symmetry if it can be rotated by an angle between 0° and 360° and still look the same.

Step2: Analyze each polygon

• Triangle A: No rotational symmetry (except 0° and 360°).
• Rectangle B: Rotational symmetry of 180°.
• Square C: Rotational symmetry of 90°, 180°, 270°.
• Pentagon D: Rotational symmetry of 72°, 144°, 216°, 288°.
• Hexagon E: Rotational symmetry of 60°, 120°, 180°, 240°, 300°.

Answer:

B. rectangle, C. square, D. regular pentagon, E. regular hexagon