Question

Are the following figures similar?

No; the corresponding angles are not congruent
No; the corresponding sides are not proportional
Yes; the corresponding angles are congruent
Yes; the corresponding sides are proportional

Answer 1

No; the corresponding angles are not congruent

Explanation:

Two figures are similar when they have proportional corresponding sides and congruent corresponding angles.

Trapezoid ABCD has two right angles B and C, obtuse angle A of measure 137° and acute angle D of measure 43°.

Trapezoid EHGF has two right angles G and F, obtuse angle E of measure 136° and acute angle H of measure 44°.

Since obtuse angles and acute angles are not congruent, trapezoids ABCD and EHGF are not similar