Are lines w and t perpendicular?

Yes, the one slope is 1/3 and the other slope is -5/2

Yes, the one slope is 7/3 and the other slope is 2

Yes, the one slope is 1/3 and the other slope is -3

Write an equation for each line that passes through (2, 7) and is parallel or perpendicular to the line y = − 3 x − 6 y=-3x-6 y = − 3 x − 6 .

Parallel: y=-3x+13; Perpendicular: y = 1 3 x + 19 3 y=\frac{1}{3}x+\frac{19}{3} y = 3 1 x + 3 1 9

Parallel: y=-3x+6; Perpendicular: y=-3x+ 19 3 \frac{19}{3} 3 1 9

Parallel: y = 1 3 x + 13 y=\frac{1}{3}x+13 y = 3 1 x + 1 3 ; Perpendicular y = − 1 3 x + 13 y=-\frac{1}{3}x+13 y = − 3 1 x + 1 3

By which postulate or theorem is ∠ 1 ≅ ∠ 8 \angle1\cong\angle8 ∠ 1 ≅ ∠ 8 ?

Alternate exterior angles theorem

Alternate interior angles theorem

Same-side interior angles postulate

What is the equation of a line that is parallel to the line y = 2 x + 7 y=2x+7 y = 2 x + 7 and passes through the point (-2, 4)?

y = − 1 2 x + 3 y=-\frac{1}{2}x+3 y = − 2 1 x + 3

y = − 1 2 x − 2 y=-\frac{1}{2}x-2 y = − 2 1 x − 2

Which of the following statements are true? Select all that apply.

x + y = 180 ° x+y=180\degree x + y = 1 8 0 °

x + z = 180 ° x+z=180\degree x + z = 1 8 0 °

Which of the following statements are true? Select all that apply.

The slope of p is − 5 2 -\frac{5}{2} − 2 5

The slope of m is − 2 5 -\frac{2}{5} − 5 2

The slope of q is − 5 2 -\frac{5}{2} − 2 5

The slope of n is 2 5 \frac{2}{5} 5 2

If n ∥ m n\parallel m n ∥ m , which of the following statements are true? Select all that apply.

m ∠ 3 = 100 ° m\angle3=100\degree m ∠ 3 = 1 0 0 °

m ∠ 2 + m ∠ 4 = 80 ° m\angle2+m\angle4=80\degree m ∠ 2 + m ∠ 4 = 8 0 °

m ∠ 2 ≅ 60 ° m\angle2\cong60\degree m ∠ 2 ≅ 6 0 °

m ∠ 2 + m ∠ 3 = 80 ° m\angle2+m\angle3=80\degree m ∠ 2 + m ∠ 3 = 8 0 °

Which statement must be true to prove l ∥ m l\parallel m l ∥ m ?

∠ 1 ≅ ∠ 3 \angle1\cong\angle3 ∠ 1 ≅ ∠ 3

∠ 1 ≅ ∠ 4 \angle1\cong\angle4 ∠ 1 ≅ ∠ 4

∠ 1 ≅ ∠ 2 \angle1\cong\angle2 ∠ 1 ≅ ∠ 2

m ∠ 2 + m ∠ 3 = 180 ° m\angle2+m\angle3=180\degree m ∠ 2 + m ∠ 3 = 1 8 0 °

Which statements must be true to prove l ∥ m l\parallel m l ∥ m ?

m ∠ 1 + m ∠ 2 = 180 ° m\angle1+m\angle2=180\degree m ∠ 1 + m ∠ 2 = 1 8 0 °

∠ 3 ≅ ∠ 4 \angle3\cong\angle4 ∠ 3 ≅ ∠ 4

∠ 3 ≅ ∠ 2 \angle3\cong\angle2 ∠ 3 ≅ ∠ 2

∠ 1 ≅ ∠ 2 \angle1\cong\angle2 ∠ 1 ≅ ∠ 2

Which of the following statements are true? Select all that apply.

m ∠ 1 + m ∠ 3 = 180 ° m\angle1+m\angle3=180\degree m ∠ 1 + m ∠ 3 = 1 8 0 ° because they form a straight angle.

∠ 3 ≅ ∠ 6 \angle3\cong\angle6 ∠ 3 ≅ ∠ 6 because they are alternate interior angles.

∠ 1 \angle1 ∠ 1 and ∠ 6 \angle6 ∠ 6 are supplementary because ∠ 3 ≅ ∠ 6 \angle3\cong\angle6 ∠ 3 ≅ ∠ 6 and m ∠ 1 + m ∠ 3 = 180 ° m\angle1+m\angle3=180\degree m ∠ 1 + m ∠ 3 = 1 8 0 ° .

∠ 3 ≅ ∠ 2 \angle3\cong\angle2 ∠ 3 ≅ ∠ 2 because they are alternate angles.

Topic 2 Review

Authored by M VT

Mathematics

9th - 11th Grade

CCSS covered

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34 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

A(n) _____________ intersects coplanar lines at distinct points.

transversal

interior angle

corresponding angle

alternate interior angle

Tags

CCSS.HSG.CO.C.9

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Two angles inside a triangle that correspond to the nonadjacent exterior angle are the ___________.

alternate interior angles

remote interior angles

same-side interior angles

corresponding angles

MULTIPLE CHOICE QUESTION

1 min • 1 pt

______________ lie on the same side of a transversal of parallel lines and are in corresponding positions relative to the parallel lines.

corresponding angles

alternate interior angles

alternate exterior angles

same-side interior angles

Tags

CCSS.HSG.CO.C.9

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Angles between parallel lines that are nonadjacent and that lie on opposite sides of a transversal are ______________.

alternate exterior angles

same-side interior angles

corresponding angles

alternate interior angles

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Angles between parallel lines that are on the same side of a transversal are ______________.

same-side interior angles

corresponding angles

alternate interior angles

alternate exterior angles

Tags

CCSS.HSG.CO.C.9

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Suppose $l\parallel m$ . What is the measure of $m\angle1$ if $m\angle2=138\degree$ ?

$42\degree$

$138\degree$

$180\degree$

$69\degree$

Answer explanation

Angles 1 and 2 are LINEAR PAIRS, meaning when you add them together you get 180.
$m\angle1$ + 138 = 180
$m\angle1$ = 42

Tags

CCSS.HSG.CO.C.9

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Suppose $l\parallel m$ . What is the measure of $m\angle4$ if $m\angle2=138\degree$ ?

$180\degree$

$42\degree$

$138\degree$

$21\degree$

Answer explanation

Angles 2 and 4 are alternate interior angles. We know that alternate interior angles are CONGRUENT, meaning that the angle measure are the same.

So if the measure of angle 2 is 138 degrees, the measure of angle 4 will also be 138 degrees.

Tags

CCSS.HSG.CO.C.9

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If $m\angle1=3x-3$ and $m\angle5=7x+23$ , for what value of x is $l\parallel m$ ?

6.5

None of the above

Answer explanation

There is no relationship with 1 and 5, so how would we solve? Well, we know that angle 2 and angle 5 are corresponding angles, meaning they have the same measure.
Angle 1 and 2 are a linear pair that equals 180.
So we can set up this problem like:
$m\angle1\ +\ m\angle5=180$
(3x - 3) + (7x + 23) = 180
3x - 3 + 7x + 23 = 180
10x + 20 = 180
10x = 160
x = 16

Tags

CCSS.8.EE.C.7B

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Topic 2 Review

A(n) _____________ intersects coplanar lines at distinct points.

Two angles inside a triangle that correspond to the nonadjacent exterior angle are the ___________.

______________ lie on the same side of a transversal of parallel lines and are in corresponding positions relative to the parallel lines.

Angles between parallel lines that are nonadjacent and that lie on opposite sides of a transversal are ______________.

Angles between parallel lines that are on the same side of a transversal are ______________.

Suppose $l\parallel m$ . What is the measure of $m\angle1$ if $m\angle2=138\degree$ ?

Angles 1 and 2 are LINEAR PAIRS, meaning when you add them together you get 180.
$m\angle1$ + 138 = 180
$m\angle1$ = 42

Suppose $l\parallel m$ . What is the measure of $m\angle4$ if $m\angle2=138\degree$ ?

Angles 2 and 4 are alternate interior angles. We know that alternate interior angles are CONGRUENT, meaning that the angle measure are the same.

So if the measure of angle 2 is 138 degrees, the measure of angle 4 will also be 138 degrees.

If $m\angle1=3x-3$ and $m\angle5=7x+23$ , for what value of x is $l\parallel m$ ?

What is the value of x in this figure?

Use the Triangle Angle Sum Theorem:
x + 50 + 74 = 180
x + 124 = 180
x = 56

What is the value of x in this figure?

Use the Triangle Ecterior Angle Theorem:
x = 72 + 63
x = 135

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Topic 2 Review

A(n) _____________ intersects coplanar lines at distinct points.

Two angles inside a triangle that correspond to the nonadjacent exterior angle are the ___________.

______________ lie on the same side of a transversal of parallel lines and are in corresponding positions relative to the parallel lines.

Angles between parallel lines that are nonadjacent and that lie on opposite sides of a transversal are ______________.

Angles between parallel lines that are on the same side of a transversal are ______________.

Suppose l∥ml\parallel ml∥m . What is the measure of m∠1m\angle1m∠1 if m∠2=138°m\angle2=138\degreem∠2=138° ?

Angles 1 and 2 are LINEAR PAIRS, meaning when you add them together you get 180. m∠1m\angle1m∠1 + 138 = 180 m∠1m\angle1m∠1 = 42

Suppose l∥ml\parallel ml∥m . What is the measure of m∠4m\angle4m∠4 if m∠2=138°m\angle2=138\degreem∠2=138° ?

Angles 2 and 4 are alternate interior angles. We know that alternate interior angles are CONGRUENT, meaning that the angle measure are the same. So if the measure of angle 2 is 138 degrees, the measure of angle 4 will also be 138 degrees.

If m∠1=3x−3m\angle1=3x-3m∠1=3x−3 and m∠5=7x+23m\angle5=7x+23m∠5=7x+23 , for what value of x is l∥ml\parallel ml∥m ?

What is the value of x in this figure?

Use the Triangle Angle Sum Theorem:x + 50 + 74 = 180x + 124 = 180x = 56

What is the value of x in this figure?

Use the Triangle Ecterior Angle Theorem:x = 72 + 63x = 135

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Suppose $l\parallel m$ . What is the measure of $m\angle1$ if $m\angle2=138\degree$ ?

Angles 1 and 2 are LINEAR PAIRS, meaning when you add them together you get 180.
$m\angle1$ + 138 = 180
$m\angle1$ = 42

Suppose $l\parallel m$ . What is the measure of $m\angle4$ if $m\angle2=138\degree$ ?

Angles 2 and 4 are alternate interior angles. We know that alternate interior angles are CONGRUENT, meaning that the angle measure are the same.

So if the measure of angle 2 is 138 degrees, the measure of angle 4 will also be 138 degrees.

If $m\angle1=3x-3$ and $m\angle5=7x+23$ , for what value of x is $l\parallel m$ ?

Use the Triangle Angle Sum Theorem:
x + 50 + 74 = 180
x + 124 = 180
x = 56

Use the Triangle Ecterior Angle Theorem:
x = 72 + 63
x = 135