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sweet [91]
3 years ago
15

Given that segment FE is parallel to segment DG, which of the following statements is NOT true?

Mathematics
2 answers:
velikii [3]3 years ago
6 0
The answer is B i believe
zlopas [31]3 years ago
6 0

Answer:  The correct option is

(B)  triangle HFE is congruent to triangle HGD.

Step-by-step explanation:  Given that the segment FE is parallel to segment DG in the figure.

We are to select the statement that is NOT true.

From the figure, we note that FE is parallel to DG and FG is a transversal, so we have

m∠HFE = m∠HGD

Again, FE is parallel to DG and ED is a transversal, so we have

m∠HEF = m∠HDG

Also, m∠EHF = m∠DHG [vertically opposite angles]

Therefore, ΔHFE is similar to ΔHGD by AAA similarity postulate.

We know that the corresponding sides of two similar triangles are proportional, so we get

\dfrac{DG}{FE}=\dfrac{HD}{HE}.

Thus, options (A), (C) and (D) are TRUE.

Only option (B) is NOT TRUE.

Option (B) is CORRECT.

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Answer:

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Step-by-step explanation:

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3 years ago
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Help with this math question please
Step2247 [10]
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Why is 1/2 the same as 0.5
Basile [38]

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2 years ago
The length of a rectangle is 14 inches and it’s area is (42x+56) square inches. Factor the expression for the area. Write an exp
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Step-by-step explanation:

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In figure qr = 1/3pr. find pq​
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