Geometry Unit 1 review

Vocabulary

100

What does collinear mean?

Points that lie on the same line. 

200

What does coplanar mean?

Points that lie on the same plane. 

300

What do you call the middle point of a line segment?

The middle point of a line segment is called the midpoint.

400

What is the vocabulary word that goes with the following definition:  lines that cross at 1 point 

The vocabulary word is intersecting lines.

500

What are three ways to name the plane? 

( see board) 

Plane A

Plane MVP

Plane VNP 

Segment Addition

100

Points A, B and C are collinear and in that order. Find X. 

AC= x+10

AB= 5

BC= 2x+6

-1

200

Points A, B and C are collinear. Point B is between A and C. Solve for x. 

AC= 3x+3, AB= -1+2x, and BC=11. Find X.

7

300

Points A, B and C are collinear. B is the midpoint.

AC= 22, BC= x+14, and AB= x+10. Find X. 

-1

400

Points A, B and C are collinear. Point B is the midpoint. Find the length of AB.

AC=39

AB= 9x+7

BC=-3x+20

25

500

T is between R and S. If RT=2x+13, TS= 5x+12, and RS=x+17, then what is the value of X

-1.3333

Bisector Addition

100

Define a bisector.

Bisection is the division of something into two equal or congruent parts

200

Line L bisects segment PQ.S is the midpoint. PS=3x+2, SQ=4x-5. Find PQ.

x=7

300

What does Line L bisects line segment AC at point B look like?  

YAY TEAM!!!!! 

400

Why do we set both equations equal when working with problems with bisectors?

Because a bisector splits the segment into two equal parts. 

500

Line K bisects line segment AC at point B. If AB=3x-0 and BC= 2(x+3), find AB.

x=6 and AB is 18

Distance Formula

100

What is the distance formula?

distance formula 

200

Find the distance between (-4,-3) and (-1,1).

5

300

What is the distance between the points (-2,3) and (-7,-7)?

11.18

400

If A(0,7) and B(3,6), then what is the distance from point A to B?

3.16

500

If A (1,-8) and B (-4,-7) then find the length of AB.

5.099

Midpoint Formula

100

what is the midpoint formula 

MP = x_{1 +} x_{2   ,}      y₁ + y₂

                 _{2                      2}

200

Find the midpoint of points (-3,0) and (-5,-3).

(-4,-1.5)

300

Find the midpoint between the coordinates (-2,3) and (-7,-7).

(-4.5,-2)

400

The midpoint of line segment AC, is point B(6,8). If endpoint A is located at (4,0), what is the coordinates for endpoint C?

(8,16)

500

The midpoint of line segment EG, is at F (1,10). Endpoint E is located at (6,-2), what is endpoint G?

(-4,22)