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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

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 class=

Respuesta :

Answer:

The length of GH is 2 inches

Step-by-step 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;

[tex]\dfrac{\overline{BC}}{\overline{FG}} = \dfrac{\overline{CD}}{\overline{GH}}[/tex]

Which by substitution, gives;

[tex]\dfrac{21}{7} = 3 = \dfrac{6}{\overline{GH}}[/tex]

[tex]\therefore \overline{GH} = \dfrac{6}{3} = 2[/tex]

[tex]\overline{GH}[/tex]= 2 inches

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