Download Name Geometry PreAP/GT Unit 5 Review On your paper, draw a

Name
Geometry PreAP/GT
Unit 5 Review
1. On your paper, draw a line m and point P not on line m. Construct a line parallel to line m
through P.
2. This diagram of airport runway intersections shows two parallel runways. A taxiway
crosses both runways. If <8 measures 119 , what is the sum of the measures of <1 and
<4?
3. The folding chair has different settings that change the angles formed by its parts. Suppose
is 26 and
is 70 . Find
. The diagram is not to scale.
Name
Geometry PreAP/GT
4. Line r is parallel to line t. Find the measure of each numbered angle.
5. Find the values of a and b. The diagram is not to scale.
a°
113°
36°
6.
b°
Identify the transversal and classify the angle pair <11 and <7.
n
m
2
1
3
4
5 6
l
8
7
9 10
12 11
Name
Geometry PreAP/GT
7.
8.
Draw two lines and a transversal such that 1 and 2 are alternate interior angles, 2
and 3 are corresponding angles, and 3 and 4 are alternate exterior angles. What type
of angle pair is 1 and 4?
Find m<1 in the diagram. (Hint: Draw a line parallel to the given parallel lines.)
>>
)
)
1
9.
>>
In a swimming pool, two lanes are represented by lines l and m. If a string of flags strung
across the lanes is represented by transversal t, and x = 10, show that the lanes are parallel.
(3x + 4)º l
(4x – 6)º
m
t
Name
Geometry PreAP/GT
10. Find m
in the diagram. (Hint: Draw a line parallel to the given parallel lines.)
35º
>>
1
130º
>>
11. Identify the transversal and classify the relationship between <4 and <5.
n
m
2
1
3
4
5 6
l
8
9 10
12 11
7
12. Violin strings are parallel. Viewed from above, a violin bow in two different positions
forms two transversals to the violin strings. Find x and y in the diagram.
100º
(4x + y)º
(8x + y)º
60º
Name
Geometry PreAP/GT
13. Find m
.
A
(3x - 70)º
B
14. Find the value of x and y.
3x + 2y
6x – 2y
15. Find all possible values for x.
3x2 – 4x – 10
2x2 – 2x + 14
xº
C
Name
Geometry PreAP/GT
16. Complete the two-column proof.