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1 month ago

Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true statements. *

Mathematics

1 answer:

AnnZ [12.3K]1 month ago

7 0

Answer:

✔️Segment EF is twice the length of segment AB

✔️The length of segment EH measures 16 units.

Step-by-step explanation:

Quadrilateral ABCD was scaled to create quadrilateral EFGH, indicating both are similar polygons.

Thus, the scale factor is defined as the ratio of any corresponding sides:

Scale factor = GH/CD = 12/6 = 2

This indicates that quadrilateral EFGH is double the size of quadrilateral ABCD.

The original shape remains unchanged while its size enlarges.

This means that every segment of quadrilateral ABCD grows proportionally by a factor of 2, resulting in the corresponding segment lengths for quadrilateral EFGH.

As the shape remains consistent, all corresponding angles are congruent and measure the same.

<pHence, the following statements are accurate and true:

✔️Segment EF is twice as long as segment AB

(EF = AB * scale factor = 3*2 = 6)

✔️The length of segment EH is 16 units.

(EH = AD * scale factor = 8*2 = 16)

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