Angle Pair Relationships
Transversals
Proving
Anything Goes
100

Angle pair relationship between 7 and 10

What are Alternate Interior Angles?

100

Value of x that makes u and v parallel.

What is x = 7?

100

Which lines, if any, are parallel if  angle 15 cong angle10? Justify your answer.

What are c || d because they are Alternate Interior Angles and congruent?

100

Ms. Swainston's favorite color

What is green?

200

Angle pair relationship between a and f


What are Consecutive Exterior Angles or Same Side Exterior Angles?

200

Value of x that makes u and v parallel.

What is x = 12?

200

Which lines, if any, are parallel if angle2 + angle15 = 180°? Justify your answer.


What are  a || m  because they are Consecutive Exterior Angles and supplementary?

200

Find  mangleABC.

What is 140°?

300

Angle pair relationship between 2 and 3

What are Consecutive Interior Angles or Same Side Interior Angles?

300

Lines a and b are parallel. Find x.

What is x = 12?

300

Complete the two column proof when given that  angle1 cong angle 8.

Statement: angle1 cong angle 8

Reason: Given

Statement:  m || n 

Reason: If Alternate Exterior Angles are congruent, then the lines are parallel.

300

Use the laws of logic to determine the conclusion:

If Lucy studies for her test, then she will get a good grade.

Lucy did not get a good grade.

What is "therefore she did not study for the test" using the Law of Contrapositive?

400

A parking lot consists of a series of parallel lines as shown in the diagram below. Find the measure of angle 1, the angle that the last parking spot makes with the end of the parking lot.

What is 20°?

400


What is x = 10 and

mangleABK = 66°?

400

Complete the two column proof when given that angle3 and angle5 are supplementary.

Statement: angle3 and angle5 are supplementary

Reason: Given

Statement:  m || n 

Reason: If Consecutive Interior Angles are supplementary, then the lines are parallel.

400

Here is the first step in a construction that creates...

What is a parallel line?

500

The figure represents a ramp with handrails. 

Segments AB and DE are parallel to  overline(GH)

Segments BC and EF are parallel to  overline(HJ)

Segments AG and BH are parallel to  overline(CJ)

If mangleCJH= 35°, then find the measure of  angleCBA.

What is 125°?

500

In the figure, Jones Street is parallel to Lincoln Street. Find the measure of  angleJEA 

What is 43°?

500

Complete the two column proof when given that mangle1 = 103° and mangle7 = 77°.

Statement: mangle1 = 103°

Reason: Given

Statement: mangle7 = 77°

Reason: Given

Statement: angle1 and angle7 are supplementary

Reason: mangle1 + mangle7 = 180°

Statement:  m || n 

Reason: If Consecutive Interior Angles are supplementary, then the lines are parallel.

500

What is x = 17?