Use properties of parallel lines cut by a transversal to find unknown angle measures

Corresponding angles property

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If two parallel lines are cut by a transversal, each pair of corresponding angles are congruent

True

False

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POINTS (1)

Correct Answer

Explanation

In the figure below

If \(l_1 \parallel l_2\), then

∠ 1 ≅ (1)
∠ 3 ≅ (2)
∠ 2 ≅ (3)
∠ 4 ≅ (4)

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∠ 8

∠ 5

∠ 6

∠ 7

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POINTS (1)

Correct Answer

Explanation

Alternate interior angles property

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If two parallel lines are cut by a transversal, alternate interior angles are congruent

True

False

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POINTS (1)

Correct Answer

Explanation

In the following figure

if \(l_1 \parallel l_2 \) then

∠3 ≅ (1)
∠4 ≅ (2)

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∠6

∠5

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POINTS (1)

Correct Answer

Explanation

Interior angles property

In the figure below, If \(l_1 \parallel l_2\) then

∠3 is supplementary to (1)
∠4 is supplementary to (2)

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∠6

∠5

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POINTS (1)

Correct Answer

Explanation

If a transversal is perpendicular to one of the two parallel lines, it is also perpendicular to the other line

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True

False

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POINTS (1)

Correct Answer

Explanation

If two lines are parallel to a third line, the are not necessarily parallel to each other

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True

False

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POINTS (1)

Correct Answer

Explanation

Refer to the below figure

If \(l_1 \parallel l_2 \) and m(∠3) = 120^o, find the measures of the other seven angles that are labelled.

m(∠1) =
m(∠2) =
m(∠4) =
m(∠5) =
m(∠6) =
m(∠7) =
m(∠8) =

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POINTS (1)

Correct Answer

Explanation

Refer to the figure below

volume_mute

if \(\overline{AB} \parallel \overline{DE} \), which pairs of angles are congruent?

∠A ≅ ∠1

∠B ≅ ∠2

∠A ≅ ∠3

∠B ≅ ∠4

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POINTS (1)

Correct Answer

Explanation

In the figure below

\(l_1 \parallel l_2 \). Find \(x\)

\(x\) =

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POINTS (1)

Correct Answer

Explanation

In the figure below

\(l_1 \parallel l_2\)

Find \(x\)
Find the measures of both angles labelled in the figure

\(x\) =

m(3x + 20^o) =

m(3x - 80^o) =

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POINTS (1)

Corresponding angles property

Correct Answer

Explanation

In the figure below

Correct Answer

Explanation

Alternate interior angles property

Correct Answer

Explanation

In the following figure

Correct Answer

Explanation

Interior angles property

Correct Answer

Explanation

If a transversal is perpendicular to one of the two parallel lines, it is also perpendicular to the other line

Correct Answer

Explanation

If two lines are parallel to a third line, the are not necessarily parallel to each other

Correct Answer

Explanation

Refer to the below figure

Correct Answer

Explanation

Refer to the figure below

Correct Answer

Explanation

In the figure below

Correct Answer

Explanation

In the figure below

Correct Answer

Explanation

Quran Recitation