Geometry Basics

Distance Formula

Midpoint Formula

Segment & Angle Addition

Constructions

100

What indicates a location and has no size?

point

100

What is the short cut formula used to find the distance between two points when given a graph?

100

What is the formula for midpoint?

100

What is the value of x?

x=13

100

What is the result of this construction?

AB≅CD

200

Points on the same line

collinear

200

What is the formula used to find the distance between two points without a graph?

200

What is the midpoint of segment FG? Leave your coordinates as a fraction.

(-1,-1/2)

200

If XY=18, what is the length of AY?

AY=9

200

What is the result of this construction?

∠CBL ≅ ∠LBA

300

Has two endpoints and all points in between

line segment

300

What is the distance of segment FG? Round your answer to the nearest tenth.

5

300

Jayla drew point A located at (-3,6) and point C located at (7,-2). What is the x-coordinate of point B that bisects AC?

2

300

In the diagram below, m∠DOE=2x+12 and the m∠BOC=4x-4. What is the m∠BOA=? Give the angle relationship used to find your answer as well.

m∠BOA=2x+12

∠DOE and ∠BOA are vertical angles

300

What is the result of this construction?

n ∥ m

400

A straight path with infinitely many points that extends in two opposite directions without end

line

400

Ms. Mercier traveled from her house to Starbucks in a counter-clockwise direction. How many miles total had she driven when she stopped at Starbucks? Round your answer to the nearest tenth.

21.3 miles

400

Point B bisects segment AC. What are the coordinates of endpoint C?

(7,-2)

400

In the diagram below, m∠DOE=2x+12 and the m∠BOC=4x-4. What is the angle relationship and equation relating ∠BOC and ∠BOA?

Complementary

4x-4+2x+12=90

400

What is the result of this construction?

CD⊥AB and bisects AB

500

Has a start point and no end point

ray

500

Triangle ABC has coordinates A(4,2), B(4,5) & C(1,4). What is the perimeter? Round your answer to the nearest tenth.

9.8

500

M is the midpoint of CD. C has coordinates (-2,2) and M has coordinates (4,6). Find the coordinates of D.

(10,10)

500

In the diagram below, m∠DOE=2x+12 and the m∠BOC=4x-4. What is the m∠AOE and the relationship between ∠BOA and ∠AOE? Round your answer to the nearest tenth.

m∠AOE=140.7°

∠BOA and ∠AOE are supplementary

500

Which 2 constructions result in a perpendicular bisected segment?

Bisecting a line segment

Perpendicular to a line through a point

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