Use the image to find x, and the angles measurement angle 1 = 5x+10 angle 2 = 3x+30

x = 17.5 angle 1 measurement = 97.5° angle 2 measurement = 82.5°

x = 12.75 angle 1 measurement = 97.5° angle 2 measurement = 82.5°

x = 17.5 angle 1 measurement = 82.5° angle 2 measurement = 97.5°

x = 12.75 angle 1 measurement = 82.5° angle 2 measurement = 97.5°

Use the image to solve for "x" and the angle measurements if: angle 1 = 6x +5 angle 2 = 2x+25

x = 18.75 angle 1 = 117.5° angle 2 = 62.5°

x = 17.75 angle 1 = 72.5° angle 2 = 107.5°

x = 18.75 angle 1 = 42.5° angle 2 = 127.5°

x = 18.75 angle 1 = 62.5° angle 2 = 117.5°

Which postulate states that if angle 1 is congruent to angle 3, then lines m and n are parallel?

converse of the corresponding angles postulate

converse of the alternate interior postulate

converse of the same-side interior angles postulate

converse of the same-side exterior angles postulate

Use the image to answer the question: If angle 2 = (5x+3)° and angle 3 = (8x+5)°, and x =14. Which converse theorem is being used to prove m is parallel to n?

angle 2 = 73° angle 3 = 117° converse of the same-side interior angles postulate

angle 2 = 117° angle 3 = 73° converse of the same-side interior angles postulate

angle 2 = 73° angle 3 = 117° converse of the corresponding angles postulate

angle 2 = 117° angle 3 = 73° converse of the corresponding angles postulate

Use the image to answer the question

The total length of the support pillars needed for the 120-meter section of the overpass is 88 meters .

The total length of the support pillars needed for the 110-meter section of the overpass is 78 meters .

The total length of the support pillars needed for the 110-meter section of the overpass is 98 meters .

The total length of the support pillars needed for the 120-meter section of the overpass is 78 meters .

Use the image to answer the question

c is perpendicular to both a and b

c is coinciding with both a and b

c is not parallel nor perpendicular to a and b

Hint, what is the theorem that would prove the flagpole to be perpendicular to the parking lot?

perpendicular transversal theorem

Find the slope of each segment and graph the line segments.

slope of seg. 1 = 1 slope of seg. 2 = 8/7

slope of seg. 1 = 1 slope of seg. 2 = 7/8

slope of seg. 1 = 7/8 slope of seg. 2 = 1

slope of seg. 1 = 8/7 slope of seg. 2 = 1

An architect is designing a wheel-chair accessible ramp for a building entrance. According to the ADA (Americans with Disabilities Act) guidelines, the maximum recommended slope for a wheelchair ramp is 1:12, meaning for every 1 inch of rise, there must be at least 12 inches of run. The architect measures: 1. the height from the ground to the entrance = 36 inches 2. the available horizontal space = 432 inches *Does the height from the ground to the entrance and the available horizontal space follow ADA guidelines? Prove your answer

Since the slope matches the ADA requirement , the ramp is ADA compliant .

Since the slope does not match the ADA requirement , the ramp is non compliant to ADA guidelines .

A railway engineer is designing a new train track section over a hilly area. To ensure trains can safely climb and descend, the slope of the track must be gradual. The engineer measures: 1. The elevation difference between two points on the track: 180 meters 2. The horizontal distance between these two points: 4,000 meters *Any gradual increase above 7.5% is too steep a slope, thus the engineer has to calculate if they ca build a new track or not. Calculate the slope and determine if there is enough of a gradual incline to build a new track?

The slope of the railway track is 0.045, which is 4.5% gradient of an incline. Thus the train can climb safely and descend safely

The slope of the railway track is 0.145, which is 14.5% gradient of an incline. Thus the train cannot climb safely and descend safely

The slope of the railway track is 0.025, which is 2.5% gradient of an incline. Thus the train can climb safely and descend safely

The slope of the railway track is 0.250, which is 25% gradient of an incline. Thus the train cannot climb safely and descend safely

Use the given equations to find the point of intersection? Hint, if both equations = y, set the equations equal to each other and solve for "x point". after, plug in x to the equation to get "y point"

The point of intersection (3/5, 19/5)

The point of intersection (5/3, 19/5)

The point of intersection (3/5, 5/19)

The point of intersection (-3/5, 19/5)

Geometry PP - Chapter 3: Parallel and Perpendicular Lines

Authored by Joseph Lloyd

Mathematics

12th Grade

CCSS covered

Geometry PP - Chapter 3: Parallel and Perpendicular Lines

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FILL IN THE BLANK QUESTION

15 mins • 5 pts

Looking at the following image, if x and y are parallel lines then z would be called the ___________?

Tags

CCSS.8.G.A.5

FILL IN THE BLANK QUESTION

15 mins • 5 pts

If line "z" is the transversal in the image, then x and y are ? (two words)

Tags

CCSS.8.G.A.5

FILL IN THE BLANK QUESTION

15 mins • 5 pts

If lines x and y are parallel and z is a transversal that cuts through x and y, then we can find _ _. (two words)

Tags

CCSS.8.G.A.5

FILL IN THE BLANK QUESTION

15 mins • 5 pts

If lines x and y are parallel and z is a transversal that cuts through x and y, then angle 1 and angle 7 are: __ .

Tags

CCSS.8.G.A.5

FILL IN THE BLANK QUESTION

15 mins • 5 pts

Vertical angles are always, meaning they are equal in angle measurement?

Tags

CCSS.7.G.B.5

FILL IN THE BLANK QUESTION

15 mins • 5 pts

If lines x and y are parallel and z is a transversal that cuts through x and y, then angle 1 and angle 3 are: ________ .

Tags

CCSS.8.G.A.5

FILL IN THE BLANK QUESTION

15 mins • 5 pts

Corresponding angles are _________, meaning their angle measurements are the same.

Tags

CCSS.8.G.A.5

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Geometry PP - Chapter 3: Parallel and Perpendicular Lines

Looking at the following image, if x and y are parallel lines then z would be called the ___________?

If line "z" is the transversal in the image, then x and y are ? (two words)

If lines x and y are parallel and z is a transversal that cuts through x and y, then we can find _ _. (two words)

If lines x and y are parallel and z is a transversal that cuts through x and y, then angle 1 and angle 7 are: __ .

Vertical angles are always, meaning they are equal in angle measurement?

If lines x and y are parallel and z is a transversal that cuts through x and y, then angle 1 and angle 3 are: ________ .

Corresponding angles are _________, meaning their angle measurements are the same.

If lines x and y are parallel and z is a transversal that cuts through x and y, then angle 2 and angle 3 are: - __.

Same-side interior angles always add up to how many degrees?

If lines x and y are parallel and z is a transversal that cuts through x and y, then angle 7 and angle 3 are: ___ .

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Geometry PP - Chapter 3: Parallel and Perpendicular Lines

Looking at the following image, if x and y are parallel lines then z would be called the ___________?

If line "z" is the transversal in the image, then x and y are ________ ________? (two words)

If lines x and y are parallel and z is a transversal that cuts through x and y, then we can find _____ _____. (two words)

If lines x and y are parallel and z is a transversal that cuts through x and y, then angle 1 and angle 7 are: ________ ______.

Vertical angles are always, meaning they are equal in angle measurement?

If lines x and y are parallel and z is a transversal that cuts through x and y, then angle 1 and angle 3 are: ______________ ______.

Corresponding angles are _________, meaning their angle measurements are the same.

If lines x and y are parallel and z is a transversal that cuts through x and y, then angle 2 and angle 3 are: ____-____ ________ ______.

Same-side interior angles always add up to how many degrees?

If lines x and y are parallel and z is a transversal that cuts through x and y, then angle 7 and angle 3 are: _________ ________ ______.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

If line "z" is the transversal in the image, then x and y are ? (two words)

If lines x and y are parallel and z is a transversal that cuts through x and y, then we can find _ _. (two words)

If lines x and y are parallel and z is a transversal that cuts through x and y, then angle 1 and angle 7 are: __ .

If lines x and y are parallel and z is a transversal that cuts through x and y, then angle 1 and angle 3 are: ________ .

If lines x and y are parallel and z is a transversal that cuts through x and y, then angle 2 and angle 3 are: - __.

If lines x and y are parallel and z is a transversal that cuts through x and y, then angle 7 and angle 3 are: ___ .