PPS Benchmark Assessment
Geometry
G4. Angle Properties
G4.LTa. Calculate a missing angle in a triangle
G4.LTb. Apply angle properties to find missing angles
G4.LTc. State what property was used
1.
a.
Find the measure of each angle in the diagram.
c
e
k
Angle
a
d
b
g
f
110° a
b
55°
h
c
i
j
d
e
f
b.
What geometric relationship did you use to find
angles c, g, and k?
g
Explanation for c:
h
i
Explanation for g:
Explanation for k:
j
k
Measure
G4.LTd. Use angle properties to determine if a pair of lines are parallel or perpendicular
2.
Use the diagram to answer the questions below.
a.
If angle 1 and angle 7 are congruent, what
property proves the lines are parallel?
5
6
8
b.
If angle 5 and angle 8 are congruent, what can be concluded about the lines?
c.
If the lines are parallel, what must be true about angle 2 and angle 6? What is the
name of the property used to determine this?
d.
If the lines are parallel, what must be true about angle 7 and angle 3? What is the
name of the property used to determine this?
G4.ASa. Apply properties of shapes and angles to find missing angles
G4.ASb. Use angle properties and algebra to solve for x
3.
7
1 2
3 4
Set up and solve an equation to solve for x in each diagram.
a)
b)
3x – 20
3x – 20
2x + 20
c)
2x + 20
d)
48
x
3x + 2
7x – 10
G4.ASc. Polygon Angle Sum Theorem (interior / exterior)
98