Download Geometry unit 1 quiz practice questions

Geometry Chapter 1 quiz guide and practice questions
3 undefined terms - point, line, plane.
*know definitions and symbols for: segment, ray, colinear, coplanar, vertical angles, adjacent angles,
acute/obtuse/right angles, supplementary and complementary angles, midpoint, origin, congruent, vertex, ratio,
proportion, parallel, perpendicular.
*Be able to represent these figures in drawings.
a. Draw line AB.
b. Angles PQR and LQM are vertical angles.
c. Segment AB is perpendicular to line CB.
d. Angle LRM is a right angle.
e. In quadrilateral ABCD, 𝐴𝑛𝑔𝑙𝑒 𝑎 ≅ 𝑎𝑛𝑔𝑙𝑒 𝑏, 𝐴𝐷 𝑝𝑎𝑟𝑎𝑙𝑙𝑒𝑙 𝑡𝑜 𝐵𝐶, the measure of angle c is 90 degrees.
f. Angle 1 and angle 2 form a linear pair.
*understand and apply the segment addition postulate. (use the figure below for 1-4)
A
B
C
D
1. If AB = 2x + 3 and BC = 4x - 7, what is the value of AC?
2. If AE = 50, AB = 10, and CD = 13, how long is DE?
3. If CD ≅ 𝐷𝐸 and BD = 20, how long is AE?
4. If BC = 2x + 1, and CD = 3x + 4, and BD = 10x - 45, what is the value of x?
5. Let m be the midpoint of AB. If AM = 4x and MB = 2x + 12, how long is AB?
*know how to partition line segments in one and two variables.
4
3
6. Find the point B that partitions AC into the ratio .
A(-4)
B(
)
C(31)
2
7. For what value of C does B partition AC into the ratio 5.
A(2)
B(5)
𝐴𝑀
C(
)
1
8. Find M so that 𝐴𝐵 = 10
A(-2)
M(
)
B(-32)
2
3
9. Find the coordinates of B that partition AC into the ratio .
A(2, 3)
B(x , y)
C(7, -2)
E
*Know and apply the angle addition postulate, and answer problems regarding angle measures.
Use figure for 10-12
A
B
C
D
E
F
10. Angle FEC = 2x + 3, angle CEB = 4x - 7.
a. If angle BEF = 40 degrees, what is the value of x?
b. If angle FEC is congruent to angle CEB, what is the value of x?
11. Angle AEB = 40 degrees. if angles BEC and CEF are congruent, what is the measure of angle CEF?
12. If angle FEC = x, angle CEB = x + 5, and BEA = x + 10, what is the value of x?
13. If angles AEB and CED are vertical angles, and angle AEB = 2x + 5, angle CED = 3x - 20, what is the measure of
angle AEB?
14. An angle is 10 more than its complement, what is the value of the angle?
(Hint, the complement of an angle is 90 - angle....ex. complement of 20 is 90 - 20 = 70 degrees.)
15. The supplement of an angle is twice as large as the angle. What is the value of the angle?
16. Angles AEB and BEC are supplementary. Angles BEC and REM are also supplementary. What can you
conclude about angles AEB and REM?
A
17. Apply the following marks to the triangle on the right.
𝐴𝐵 ≅ 𝐶𝐷, 𝐴𝑛𝑔𝑙𝑒 𝐵 ≅ 𝐴𝑛𝑔𝑙𝑒 𝐷, 𝐴𝑛𝑔𝑙𝑒 𝐴𝐵𝐶 = 90 𝑑𝑒𝑔𝑟𝑒𝑒𝑠.
Draw point E so that AE is perpendicular to DE.
Draw line FG parallel to DE.
B
C
D