Question

1. Parallelogram ABCD is similar to

parallelogram EFGH. What is the length of
GH?
B
21 in
C
6 in
A
F
7 in
G
D
H
GH:
3. The triangular prisms shown below ar

Answer 1

The length of GH is 2 inches

Explanation:

The given parameters are;

Parallelogram ABCD ~ Parallelogram EFGH

Segment BC of parallelogram ABCD corresponds to segment FG of parallelogram EFGH

Similarly

Segment CD of parallelogram ABCD corresponds to segment GH of parallelogram EFGH

In parallelogram ABCD, we have;

Segment BC = 21 in.

Segment CD = 6 in.

In parallelogram ABCD, we have;

Segment FG = 7 in.

Given that parallelogram ABCD is similar to parallelogram EFGH, we have;

`\frac{\overline{BC}}{\overline{FG}} = \frac{\overline{CD}}{\overline{GH}}`

Which by substitution, gives;

`(21)/(7) = 3 = \frac{6}{\overline{GH}}`

`\therefore \overline{GH} = (6)/(3) = 2`

`\overline{GH}`= 2 inches