Cogito
Geometry · Chapter 1 · Lesson 2
Angle Pairs and Parallel Lines
A transversal makes eight angles and only two sizes.
11 problems · about 23 minutes · G-CO.C.9
Figure — use these to answer the problems
Warm Up
Straightforward practice. Get the method working first.
4 problemsCo-interior with 125°, lines parallel. What is it?
AnswerVertical to 88°. What is it?
AnswerSupplement of 88°?
AnswerAlternate interior to 37°, lines parallel. What is it?
Answer
Build It Up
The same ideas with more to keep track of.
3 problemsCo-interior with 110°, lines parallel. What is it?
AnswerHow many different angle sizes appear at a transversal across parallel lines?
AnswerSort each pair by its relationship when the lines are parallel.
Write each item under the heading it belongs to: Corresponding angles · Alternate interior angles · Co-interior angles · Vertical angles
Equal
Add to 180°
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
4 problemsTwo angles on a straight line, one 3 times the other. What is the smaller?
AnswerVertical angles are always equal. 1 for yes, 0 for no.
AnswerThe Supplement
One angle is 65°. What is the angle beside it on a straight line?
AnswerCorresponding
Corresponding angles with parallel lines. One is 42°. What is the other?
Answer