Question

which of the following figures are congruent? select all that apply?
(move mouse over the image to zoom in.)
(move mouse over the image to zoom in.)
(move mouse over the image to zoom in.)
(move mouse over the image to zoom in.)

Explanation:

Step1: Recall Congruence Definition

Congruent figures have same shape and size (can be rotated/reflected).

Step2: Analyze Each Option

• First: Hexagon and circle – different shapes. Not congruent.
• Second: Two triangles – same shape, size (rotation matches). Congruent.
• Third: Two trapezoids – same shape, size (reflection matches). Congruent.
• Fourth: Two ovals – same shape, size (rotation matches). Congruent.

Answer:

The second, third, and fourth figures (the ones with two triangles, two trapezoids, two ovals) are congruent. So select the checkboxes for the second, third, and fourth options.