Basic Geometry
Angle Bisector
Classify Angle
Distance Formula
Word Problems
100
Two planes intersect in a _____.
Line
100
Line BD bisects ∠CBA. Find m∠CBA.
14x+12=54
14x=42
x=3
100
Is the following angle Obtuse, Acute, or Right?
Acute
100
Round all questions to the nearest tenth.
(3,5) (10,1)
C=√(10-3)2+(1-5)2
C=√49+16
C=√65
C=8.1
100
Joseph is an architect building a beach house on stilts. He needs to know the angle of a stilt standing on the ground. If a support stilt goes through where the ground and the stilt meet, and the angle between the support stilt and the ground is 54° and the angle between the support and the stilt being measured is 36°, What is the angle of the stilt standing on the ground?
36+54
90°
200
What line intersects plane A? At what part?
LIne BD at point E
200
Line BD bisects ∠ABC. Find the m∠ABC
80=2x
40=x
200
Is the following angle Obtuse, Acute, or Right?
obtuse
200
Round all questions to the nearest tenth.
(12,11) (3,1)
C=√(3-12)2+(1-10)2
C=√81+81
C=√162
C=12.7
200
Jonathan is making a roof and he is trying to figure out the angle of where the roof needs to go. One side of the roof is (14x+12) and the second side is 54°. Find x.
14x+12=54
14x=42
x=3
300
What is the part of a line that consists of one endpoint and extends infinitely in one direction?
Ray
300
Line RQ bisects ∠PRS. Find m∠PRS.
x+40=3x-20
x+20=3x
20=4x
5=x
300
What are the Complementary Angles?
∠AZY ∠ZYW
300
Round all questions to the nearest tenth.
(10,4) (12,6)
C=√(12-10)2+(6-4)2
C=√4+4
C=√8
C=2.8
300
Statesville is located between Stony Point and Hickory. The distance between Statesville and Hickory is 20x-5 miles. The distance between Stony Point and Statesville is 30x-6 miles. Find x.
30x-5=30-6
20x=30x-1
-10x=-1
x=0.1
400
Are these lines co-planar or non-coplanar
Coplanar
400
Line AB bisects ∠CAD. Find the m∠CAD
33=4x-1
32=4x
8=x
400
Find all linear pairs.
∠1 & ∠ 4; ∠3 & ∠5 ; ∠2 & ∠6
400
Round all questions to the nearest tenth.
(-10,9) (12,-8)
C=√(12-[-10])2+(-8-9)2
C=√(12+10)2+(-8-9)2
C=√484+289
C=√773
C=27.8
400
The London City Airport has coordinates of (0.0495, 51.5048). The coordinates of the Myrtle Beach International Airport are (78.9279,33.6822). What is the distance between the two airports?
C=√(78.8784-0.0495)2+(33.6822-51.5048)2
C=√6221.82+312.6452
C=√6539.445
C=80.9
500
Are the points coplanar or noncoplanar?
Coplanar
500
Line TR bisects AB at C. If line AC=4x-15 and CB=3x+13. Find x.
4x-15=3x+13
x-15=13
x=28
500
DEF and STU are supplementary angles. Find the measure of the angles if m∠DEF is (2x+12) and m∠
STU,(x+4), Round to the nearest tenth.
2x+12+x+4=180
3x+16=180
3x=164
x=54.7
500
Round all questions to the nearest tenth.
(10,12) (9,13)
C=√(9-10)2+(13-12)2
C=√1+1
C=√2
C=1.4
500
If a flower bush is planted between birch tree and a grape vine, and the distance between the birch and grape vine is 18 meters, where is the bush located?
18/2
9