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3 years ago

Line l is parallel to line e in the figure below.

Mathematics

2 answers:

NARA [144]3 years ago

7 0

2 4 and 5 or B D E

I just took the quiz on edge

galben [10]3 years ago

6 0

Answer:

2 Vertical angles prove that Angle 2 is congruent to angle 5

4 The triangles are similar because alternate interior angles are congruent.

5 In the similar triangles, Angle 3 and Angle 6 are corresponding angles.

Step-by-step explanation:

The picture of the question in the attached figure

Verify each statement

1 Vertical angles prove that Angle 1 is congruent to angle 4.

we know that

$m\angle 1=m\angle 4$ ----> by alternate interior angles

therefore

The statement is false

2 Vertical angles prove that Angle 2 is congruent to angle 5

we know that

Vertical Angles, are the angles opposite each other when two lines cross.

They always are equal

In this problem

$m\angle 2=m\angle 5$ ----> by vertical angles

therefore

The statement is true

3 The triangles are similar because corresponding sides are congruent

we know that

In this problem, the corresponding angles are congruent, hence the corresponding sides must be proportional

The triangles are similar, but the corresponding sides are not congruent

therefore

The statement is false

4 The triangles are similar because alternate interior angles are congruent.

The statement is true

The triangles are similar, because the corresponding angles are congruent (one angle is congruent by vertical angles and the other two by alternate interior angles)

5 In the similar triangles, Angle 3 and Angle 6 are corresponding angles

The statement is true

In this problem

The corresponding angles are

∠3 and ∠6

∠1 and ∠4

∠2 and ∠5

6 In the similar triangles, Angle 3 and Angle 4 are corresponding angles

The statement is false

Because

The corresponding angles are

∠3 and ∠6

∠1 and ∠4

∠2 and ∠5

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Answer:

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Step-by-step explanation:

Given:

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(Refer the attachment)

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