Name: __________________________ Date: __________________
Unit 1 WS #8
Hr: ________
Angle Pair Relationships
1. (A) Measure the angles in the diagrams below and fill in their values in the appropriate blank.
m1 = _______
m2 = _______
m3 = _______
m4 = _______
m5 = _______
m6 = _______
(B) What should m1 and m2 add up to? Why? Do they add up to what they should?
(C) What do you notice about the values of m2 and m4? Does this same pattern appear with
m1 and m3? Explain.
(D) What should m5 and m6 add up to? Why? Do they add up to what they should?
2. (A) Vertical Angles are angles like 2 and 4 in the diagram above. They are right across
from each other when two lines meet. Name another pair of vertical angles from the diagram
above.
(B) Draw your own two lines that intersect each other below. Label the 4 small angles made as
7, 8, 9, and 10. Measure these angles and fill in the measurements below.
m7 = _______
m8 = _______
m9 = _______
m10 = _______
(C) Name a pair of vertical angles from your drawing. What do you notice about the size of these?
Unit 1 Foundations of Geometry
kgw
WS #8
3. (A) Supplementary Angles are two angles that add together to total 180°. In other words,
they are two angles that add up to make a straight line. Name TWO pairs of supplementary
angles in the diagram you drew for #2.
(B) Complementary Angles are two angles that add together to total 90°. In other words, they
are two angles that add up to make a right angle. Name the ONE pair of complementary
angles that appears on the front page.
4. Use the diagram at right to answer the following
questions.
3
2
(A) Identify a pair of complementary angles.
________________
4
1
6
(B) Identify two pairs of supplementary angles.
9
5
___________________
7
8
(C) Identify two pairs of vertical angles. __________________________
(D) Decide whether each of the following statements about the angles shown in the diagram is
TRUE or FALSE.
____(i) 1 + 2 = 90º
____(ii) 5 = 90º
____(iii) 7 = 9
____(iv) 6 = 9
(E) If 7 = 50º, then what is the measure of 8?_____
What is the measure of 9? _____
5. Plot the points given on the graph paper. Then
decide whether each angle listed would be
acute, right, obtuse, or straight.
A(-2, 4)
B(-5, 1)
C (0,0)
D(3, 0)
(A)
ACD ___________
(B)
BCD ___________
(C)
ACB ___________
Unit 1 Foundations of Geometry
kgw
WS #8
Unit 1 Foundations of Geometry
kgw
WS #8