Question

Use the diagram to match each pair of angles below to their correct relationship.

Column A
1.
2.
3.
4.
5.
6.
7.
E
B
D
ZAOE, ZCOD
ZAOE, ZDOE
LBOC, COD
ZAOB, ZBOD
ZBOC, ZDOE
ZCOD, LDOE
ZAOC, ZDOE
Column B
a. Linear Pair
b. Vertical Angles
c. Complimentary Angles
d. None of these

Answer 1

1. Vertical angles
2. Linear pair
3. Complementary Angles
4. Linear pair
5. None of these
6. Linear pair
7. Vertical angles

Step-by-step explanation

1. Vertical angles form when intersecting two lines to form an X shape. Vertical angles are opposite one another. They are always congruent.
2. A linear pair of angles glue together to form a straight angle. The angles add to 180 degrees. A similar term is "supplementary angles".
3. Complementary angles add to 90 degrees. They form a corner. Your teacher is using the wrong word when s/he wrote "complimentary". It should be "complementary". The "i" should be an "e". The word complimentary means "to say nice things about a person", while complementary means "to help complete or fill out". In this case it refers to the idea of completing a 90 degree corner. Sorry to sound nitpicky.
4. See question 2.
5. These are just two angles that don't fit any of the items in column B. Not much else to say here.
6. We have another linear pair (similar to questions 4 and 2).
7. This is another pair of vertical angles. See question 1.

Helpful tip: Use a colorful marker to highlight the two angles you want to focus on. It's best to do this digitally so you can undo/erase any marks to focus on another pair of angles.

Another tip: Rather than think of angles as 3 letters, think of them as names instead. It might help better remember them and/or reference them quickly from the diagram. Example: angle COD = fish, angle DOE = deer, etc.