# Geometry Basics

Geometry (from the Ancient Greek: γεωμετρία; geo- “earth”, -metron “measurement”) is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space (wikipedia.com).

Below are example questions in geometry basics. Take time to answer each of them. Afterward, you can download the answer at the bottom of the page.

Happy learning!

P1) The complement of an angle measures 56°. What is the measure of the angle?
a) 124º
b) 34º
c) 68º
d) 112º

P2) Graph ΔPQR with vertices P(6,-4), Q(8, -8), and R(4, -7). Translate the figure 11 units left and 11 units up. What are the coordinates of the vertices ΔP’Q’R’? Graph the translation image.

P3) Which word best describes the figure?
a) Line
b) Point
c) Segment
d) Ray

P4) If m∠COD=28º and m∠BOC=21º, then what is the measure of ∠BOD?a) 46º
b) 54º
c) 49º
d) 51º

P5) Choose the word that completes the sentence correctly. A plane and a point not on the plane are ________ coplanar.
a) always
b) never
c) sometimes
d) There’s not enough information

P6) Let D be between E and F. Use the Segment Addition Postulate to solve for x.
ED=6x+16                DF= 4x+24                   EF=50
a) x=1
b) x=6
c) x=5
d) x=4

P7) The picture shows a ___________ of a figure.
a) glide reflection
b) rotation
c) reflection
d) translation

P8) In the figure (not drawn to scale), MO bisects ∠LMN, m∠LMO=15x-42, and m∠NMO=x+56. Solve for x and find m∠LMN.
a) 7 and 126
b) 1 and 27
c) 1 and 49
d) 7 and 232

P9) In any triangle, the point where the angle bisectors meet is called the
a) circumcenter
b) incenter
c) orthocenter
d) centroid

P10) Find the coordinates of the circumcenter of ΔABC.

a)  (-13/8, -13/8)
b)  (1, -2)
c) (1,-1)
d) (0, -1)

P11) Using a geometry ruler, find the midpoint between P(-4) and Q(6).
a) 1
b) 2
c) 1/2
d) -2

P12) Which figure shows an angle?

P13) What is the name of the segment that is the shortest path between G and AE?

a) AG
b) EG
c) CG
d) None of these

P14) Choose the word that completes the sentence correctly. Skew lines _____intersect in exactly one point.
a) always
b) sometimes
c) never
d) There’s not enough information

P15) If BC=20 and AC=32, find AB.

a) 12
b) 10
c) 52
d) 20

P16) The change in position from the shaded figure to the unshaded figure is best describe as a

a) transversal
b) reflection
c) rotation
d) translation

P17) Refer to the figure below to determine the measure of ∠IOF.

a) 50º
b) 80º
c) 110º
d) 20º

P18) Choose the word that completes the sentence correctly. A plane and a line ______intersect in a single point.
a) sometimes
b) always
c) never
d) There’s not enough information.

P19) Given: SQ bisects ∠RST. Find the measure of ∠QST if m∠RST=52º.

a) 104º
b) 64º
c) 52º
d) 26º

P20) Which ordered pair represents point R?

a) (-4, 2)
b) (-2, 4)
c) (-4, -2)
d) (-2, -4)

P21) Choose the word that completes the sentence correctly. Through any three points, there ______ exists exactly one line.
a) always
b) sometimes
c) never
d) There’s not enough information

P22) Given lines u and v are both perpendicular to line t, which can be concluded?

a) Lines u and v aren’t parallel
b) Lines u and v are parallel
c) Lines u and v are perpendicular
d) There’s not enough information

P23) Use a protractor to find the measure of the angle.

a) 55º
b) 60º
c) 50º
d) 35º

P24) Choose the word that completes the sentence correctly. A line and a point not on the line are _______  coplanar.
a) never
b) sometimes
c) always
d) There’s not enough information

P25) Identify the coordinates of P(-3, -8) after a rotation of 180º about the origin.
a) P’=(-3, 8)
b) P’=(-8, -3)
c) P’=(3, -8)
d) P’=(3, 8)

DONE!