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Lesson 10 of 11

8 min

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Eight ideas, eight checks. Use the table if you get stuck.

Lines and Angles — eight ideas on one screen
IdeaRemember
Linear pairTwo angles that share a vertex and an arm, on opposite sides of it, with outer arms in a line, total 180°. Angles that total 180° are supplementary.
ConverseA claim turned around is a new claim. One drawing can end it.
Vertically oppositeTwo linear pairs and one subtraction make the facing angles equal.
Parallel linesCorresponding angles are equal. Alternate are equal. Co-interior total 180°.
Equal anglesEqual corresponding or alternate angles make the lines parallel.
Same lineTwo lines parallel to a third line are parallel to each other.
Which factStart from parallel lines for angles. Start from equal angles for parallel lines.
When is it trueAlways, only on parallel lines, or false as stated.

Two angles sit on a straight line. One is 70°. What is the other?

  • 20°
  • 290°
  • 110°

Two lines cross. One angle is 45°. What is the angle facing it?

  • 45°
  • 135°
  • 90°

Two angles are 80° and 100°. They are drawn far apart. Are they a linear pair?

  • Yes, because they total exactly 180°
  • No, they share no vertex or arm
  • Yes, because a straight angle is 180°

Two lines are parallel. A co-interior angle is 110°. What is the other one?

  • 110°
  • 20°
  • 70°

A transversal makes equal alternate angles. What follows?

  • The two lines meet at a right angle
  • The two lines are parallel
  • Nothing follows

l is parallel to m. n is parallel to m. What is true about l and n?

  • They are parallel to each other
  • They cross each other at one point
  • They are at right angles to each other

A question says "the two banks are parallel". What do you use that fact for?

  • To show two angles are equal by measuring
  • To prove that the banks are parallel
  • To find angles that are equal or total 180°

Is "corresponding angles are equal" true for any two lines?

  • Yes, at every crossing
  • No, it needs parallel lines
  • No, it is never true

Next: Triangles – Congruence Theorems, where triangles are matched the same careful way.

Reveal every answer to finish this lesson.