1.1- Points, lines, planes
1.2-1.3- Segment addition and Distance and Midpoint
1.4- Line Partitioning
1.5- Intro to angles
1.6- Angle relationships
100

What is the difference between a line and a line segment?

A line is never ending, a segment has a beginning and an end.

100

What is the distance and midpoint formula?

Distance: sq. rt. (x2-x1)2 + (y2-y1)2

Midpoint: ( (x1+x2)/2 , (y2+y1)/2 )

100

What is different about line partitioning than segment addition? (Hint: What kind of numbers do we use)

It is on a coordinate plane (we use coordinate points)

100

How many letters does it take to name an angle and what letter must be in the middle?

3 letters; the vertex

100

Identify the following types of angles and whether or not they are equal to one another or what they equal.

Linear pair

Vertical Angles

Supplementary Angles

Complimentary Angles

Linear pair: Equals 180 degrees

Vertical Angles: Equal to each other

Supplementary Angles: Equals 180 degrees

Complimentary Angles: Equals 90 degrees

200

Define a point

A point is a location with no width or depth.

200

Segment UW = 6x-35 and contains point V along the segment. UV = 19 and VW = 4x-20. Find the measure of UW.

UW = 67

200

In the following segment HG, which point is the initial point and which is the terminal point?

H is the initial point and G is the terminal point.

200

Classify the following angles:

<90 degrees:

>90 degrees:

= 180 degrees:

Acute, Obtuse, Straight

200

A complimentary angle is bisected by a ray. What does each part of the angle equal?

45 degrees

300

What are the two different ways to name a plane?

1. Using the capital script letter.

2. Using three non-colinear points on the plane.

300

Find the distance of segment EF with points E(-3, 0) and F(6, 5). Round to the nearest tenth.

d = 10.3

300

What is the equation for segment partition?

P(k(x2-x1) + x1 , k(y2-y1) + y1)

300

Angle ABC has a measure of 78 degrees. Ray BE bisects the angle. What is the measure of angle ABE?

39 degrees.

300

Angle P and angle Q are supplementary angles. Angle P equals x+110 degrees and angle Q equals x degrees. What is the value of angle P?

145 degrees.

400

Two planes intersect at a ____________ while two lines intersect at a _____________.

Line (or line segment), point

400

Find the endpoint T if S is the midpoint of segment RT using the following information: R(-9, 4) and S(2, -1). 

T(13, -6)

400

Given segment WY with points W(4, 9) and Y (-12, 1), if X partitions WY such that the ratio of WY is 3:4, find the coordinates of X.

X(-8, 3)

400

Angle GHI is bisected by ray HJ. Angle GHJ equals 3x+11 and angle JHI equals 6x-10. Find the measure of angle GHI.

64 degrees.

400

Angle K and angle X are vertical angles. Angle K equals 3x+15 degrees and angle X equals 9x-15 degrees. Find x and find the measure of each angle.

x = 5

Angle K and Angle x = 30 degrees.

500

How many planes are on a triangular prism?

5 planes.

500

R is the midpoint of segment QS. QR = 5x+2 and RS= 9x-10 and QS = 10y+4. Find y.

y = 3

500
Two cruise ships left the same port. After 2 hours, ship A is 30 miles west and 18 miles north of the port and ship B is 10 miles west and 27 miles south of the port. If there is a tug boat located 1/5 of the way from ship A to ship B, find the location of the tug boat relative to the port. (Answer must be in terms of NESW).

26 miles west, 9 miles north

500

Angle QRS equals 118 degrees and is cut by ray RY. Angle QRY equals 4x-1 and angle YRS equals x+9. Find the measure of angle QRY and angle YRS.

Angle QRY = 87 degrees

Angle YRS = 31 degrees.

500

Ray CD bisects angle ACB. Angle ACD and DCB create a linear pair. Angle ACD equals 11x+2 degrees and angle DCB equals 3x+66. Find x and the measure of each angle.

x = 8

Angle ACD and DCB each equals 90 degrees

Angle ACB equals 180 degrees.

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