Question

Which transformation will map an isosceles trapezoid onto itself?

A. rotation by 180° about its center
B. reflection across a diagonal
c. reflection across a line joining the midpoints of the nonparallel sides
D. rotation by 360 about its center

Answer 1

Hello, your answer would be D. rotation by 360 about its center.

Answer 2

Answer: D. rotation by 360 about its center.

Explanation:

We know that only rotation transformation maps isosceles trapezoid onto itself when we rotate it by 360° about its center.

The order of rotational symmetry is the number of times the figure maps onto itself during a rotation of 360°.

An isosceles trapezoid has two congruent sides and two non-congruent parallel sides.

It maps onto itself after 1 complete rotation of 360°.

Rest of other options do not map an isosceles trapezoid onto itself.