Parallel Lines & Transversals
Presentation
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Mathematics
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8th Grade
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Practice Problem
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Medium
+1
Standards-aligned
Erika Peters
Used 238+ times
FREE Resource
19 Slides • 22 Questions
1
Parallel Lines & Transversals
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Parallel Lines
Remember, PARALLEL LINES are lines that lie in the same plane and do not intersect.
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Transversal
A TRANSVERSAL is a line that intersects two or more lines at distinct points.
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Parallel Lines & Transversals
When a TRANSVERSAL intersects PARALLEL LINES, 8 angles are formed.
These angles have special realtionships that are helpful to remember.
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Multiple Choice
Which figure shows a set of parallel lines?
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Multiple Choice
True or False: This figure shows a picture of a transversal.
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Corresponding Angles
Just like corresponding parts of similar figures, CORRESPONDING ANGLES are in the same position on each parallel line.
These angle pairs are CONGRUENT.
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Vertical Angles
VERTICAL ANGLES are pairs of opposite angles formed by intersecting lines.
These angle pairs are CONGRUENT.
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Multiple Choice
What angle corresponds to ?
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Multiple Choice
Which angles are vertical angles?
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Interior vs. Exterior
Angles in between the parallel lines are called INTERIOR ANGLES.
Angles that are outside of the parallel lines are EXTERIOR ANGLES.
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Consecutive vs. Alternate
CONSECUTIVE angles are on the SAME SIDE of the transversal.
ALTERNATE angles are on OPPOSITE SIDES of the transversal.
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Consecutive Interior Angles
Angles on the SAME SIDE of the transversal and INSIDE of the parallel lines.
These angles are SUPPLEMENTARY ANGLES.
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Consecutive Exterior Angles
Angles on the SAME SIDE of the transversal and OUTSIDE of the parallel lines.
These angles are SUPPLEMENTARY ANGLES.
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Alternate Interior Angles
Angles on the OPPOSITE SIDES of the transversal and INSIDE of the parallel lines.
These angles are CONGRUENT.
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Alternate Exterior Angles
Angles on the OPPOSITE SIDES of the transversal and OUTSIDE of the parallel lines.
These angles are CONGRUENT.
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Multiple Choice
∠3 and ∠6 are...
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Multiple Choice
Angle B and Angle R are...
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Multiple Choice
Angle C and Angle P are...
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Multiple Choice
Name the consecutive exterior interior angle to angle 1.
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We can use the relationships of these angle pairs to find the measure of missing angles.
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Multiple Choice
If the find the measure of ?
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Multiple Choice
Find y.
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Multiple Choice
Find the value of x.
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Multiple Choice
What is the measure of ∠6?
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Multiple Choice
What is the measure of ∠1?
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Multiple Choice
What is the measure of ?
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Step 1: Identify the type of angle & relationship
These are consecutive interior angles. They are supplementary, so adding them together equals .
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Step 2: Write the equation to solve.
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Step 3: Solve the equation
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Step 4: Check your answer
Don't forget that you can plug your answer back into the original figure/equation to check if it is correct.
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Multiple Choice
Which is the correct equation to solve for x?
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Multiple Choice
Now, find the value of x.
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Multiple Choice
Which of the following equations can be used to find the value of x?
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Multiple Choice
Now solve for the value of x?
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Multiple Choice
Which equation can be used to solve for x?
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Multiple Choice
What is the value of x?
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Multiple Choice
Which is the correct equation to solve for x?
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Multiple Choice
Now, what is the value of x?
Parallel Lines & Transversals
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