Geometry Chapter 1 Review

Definitions

100

A __________ is a location. It has neither shape nor size

Point

200

A _____________________ is a measurable part of a line that consists of two points, called endpoints, and all of the points between them

Line Segment

300

The ________________ between two points is the length of the segment between the points. The coordinates of the points can be used to find the length of the segment

Distance

400

The _______________ of a segment is the point halfway between the endpoints of the segment.

Midpoint

500

While a line segment has two endpoints, a ______________ line segment has an initial endpoint and a terminal endpoint.

Directed

Line Segments

100

Find the value of the variable and YZ if Y is between X and Z.

XY = 11, YZ = 4c, XZ = 83

c = 18, YZ = 72

200

Find the value of the variable and YZ if Y is between X and Z.

XY = 4x, YZ = x, XZ =25

x=5, YZ = 5

300

Find the value of the variable and YZ if Y is between X and Z.

XY = 5.5, YZ = 2c, XZ = 8.9

c = 1.7, YZ = 3.4

400

Find the value of the variable and YZ if Y is between X and Z.

XY = 7a, YZ = 5a, XZ =6a + 24

a = 4, YZ = 20

500

Find the value of the variable and YZ if Y is between X and Z.

XY = 3k - 2, YZ = 7k + 4, XZ =4k + 38

k = 6, YZ = 46

Distance

100

Find the distance between each pair of points. Round to the nearest tenth, if necessary.

A(5, 1), B(3, 6)

5.4

200

Find the distance between each pair of points. Round to the nearest tenth, if necessary.

A(4, 4), B(5, 8)

4.1

300

Find the distance between each pair of points. Round to the nearest tenth, if necessary.

A(6, 4), B(3, 2)

3.6

400

Find the distance between each pair of points. Round to the nearest tenth, if necessary.

A(-1, 8), B(-3, 3)

5.4

500

Find the distance between each pair of points. Round to the nearest tenth, if necessary.

A(-8, 1), B(0, 6)

9.4

Midpoint

100

Find the coordinates of the midpoint of a segment with the given endpoints.

(5, 11), (3, 1)

(4, 6)

200

Find the coordinates of the midpoint of a segment with the given endpoints.

(7, −5), (3, 3)

(5, -1)

300

Find the coordinates of the midpoint of a segment with the given endpoints.

 (−8, −11), (2, 5)

(-3, -3)

400

Find the coordinates of the missing endpoint if B is the midpoint of AC.

C(−5, 4), B(−2, 5)

A(1, 6)

500

Find the coordinates of the missing endpoint if B is the midpoint of AC.

A(1, 7), B(−3, 1)

(-7, -5)