Question

The parallelograms below are similar.

Find the length of side AB and the measure of angle E.

Side AB =

Angle E =

Answer 1

Side AB= 4

Angle E= 30°

Explanation:

6÷1.5=4

Scale factor is 4

1×4= 4

angle A = angle E

Answer 2

4

30 deg

Explanation:

AD/EH = 6/1.5 = 4

Each side in ABCD is 4 times the length of the corresponding side in EFGH.

Since EF = 1, then AB = 4 * 1 = 4

Answer: AB = 4

Angle A and angle E are corresponding angles, so they are congruent.

m<E = m<A = 30 deg

Answer: 30 deg