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1. Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true
statements,
G
12
H
C6 D
4
00
В.
D
3
F
a. Segment EF is twice as long as segment AB.
b. Segment CD is twice as long as segment
FG
c. The measure of angle HEF is twice the
measure of angle DAB
d. The length of segment FH is 16 units.
e. The area of EFGH is twice the area of
ABCD.
А
E
A
B
С
E

1 Quadrilateral EFGH is a scaled copy of quadrilateral ABCD Select all of the true statements G 12 H C6 D 4 00 В D 3 F a Segment EF is twice as long as segment class=

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akposevictor

Answer:

A and D

Step-by-step explanation:

Given that EFGH is a scaled copy of ABCD, EFGH is similar to ABCD. The ratio of the corresponding lenght of their segments are equal, and therefore have the same scale factor.

This means: [tex] \frac{EF}{AB} = \frac{FG}{BC} = \frac{GH}{CD} = \frac{EH}{AD} [/tex]

We are given only the length of segment GH = 12. GH corresponds with segment CD = 6, therefore:

Scale factor = [tex] \frac{GH}{CD} = \frac{12}{6} = 2 [/tex].

This implies that all length segments of ABCD was increased by 2 to get a scale copy of EFGH.

Angles in EFGH will have the same measures of degree as the corresponding angles in ABCD, because, it would have the same shape but only different in size.

The following statements are therefore true:

A. Segment EF is twice as long as segment AB. (Scale factor = 2)

D. The length of segment EH is 16 units. (EH = 2*AD = 2*8 = 16)

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