http://www.ck12.org Chapter 3. Parallel and Perpendicular Lines
Example C
Using the picture above, list pairs of corresponding angles.
Corresponding Angles:^6 3 and^6 7,^6 1 and^65 ,^6 4 and^68
Watch this video for help with the Examples above.
MEDIA
Click image to the left for more content.CK-12 Foundation: Chapter3CorrespondingAnglesB
Vocabulary
Corresponding Anglesare two angles that are in the “same place” with respect to the transversal, but on different
lines.
Guided Practice
Lineslandmare parallel:
- If^61 = 3 x+1 and^65 = 4 x−3, solve for x.
- If^62 = 5 x+2 and^66 = 3 x+10, solve for x.
- If^67 = 5 x+6 and^63 = 8 x−10, solve for x.
Answers:
- Since they are corresponding angles and the lines are parallel, they must be congruent. Set the expressions equal
to each other and solve forx. 3x+ 1 = 4 x−3 sox=4. - Since they are corresponding angles and the lines are parallel, they must be congruent. Set the expressions equal
to each other and solve forx. 5x+ 2 = 3 x+10 sox=4. - Since they are corresponding angles and the lines are parallel, they must be congruent. Set the expressions equal
to each other and solve forx. 5x+ 5 = 8 x−10 sox=5.
Practice
- Determine if the angle pair^6 4 and^6 2 is congruent, supplementary or neither:
- Give two examples of corresponding angles in the diagram:
- Find the value ofx:
- Are the lines parallel? Why or why not?
- Are the lines parallel? Justify your answer.
For 6-10, what does the value ofxhave to be to make the lines parallel?
- Ifm^61 = ( 6 x− 5 )◦andm^65 = ( 5 x+ 7 )◦.
- Ifm^62 = ( 3 x− 4 )◦andm^66 = ( 4 x− 10 )◦.
- Ifm^63 = ( 7 x− 5 )◦andm^67 = ( 5 x+ 11 )◦.