Geometry HN Unit 1

Definitions (answer should be a question)

100

indicates a location 

what is a point?

200

A plane that extends in 3 directions 

What is a half-plane?

300

A point that divides a segment into 2 congruent segments. 

What is a midpoint?

400

Set of point(s) that two figures have in common 

What is an intersection?

500

A point, line, segment, or ray that intersects a segment at the midpoint 

What is a segment bisector?

Postulates (define the postulate)

100

Line Intersection Postulate

If 2 distinct line intersect then they intersect at exactly 1 point. 

200

Two Point Postulate

Through any 2 points there is exactly 1 line 

300

Three Point Postulate 

Through any three noncollinear points there is exactly one plane

400

Segment Addition Postulate 

If C is between AB then AC+CB=AB

*letters may vary

500

Angle Addition Postulate 

Angle ABC + Angle CBD = Angle ABD 

*must include a drawing of the original angle*

Angles (answer should be a question)

100

Two angles that add up to 180 degrees

What are supplementary angles?

200

a ray that divides an angle into two congruent angles 

what is an angle bisector?

300

two angles that are adjacent and supplementary 

what are linear pairs?

400

If two angles are vertical then they are congruent 

What is the vertical angle theorem?

500

if two angles form a linear pair then they are supplementary

what is the linear pair postulate?

Segment/Angle Addition (must show work with answer)

100

A, B, C are three points of a line AC = BC = 7. The coordinate of C is 6. The coordinate A is greater than the coordinate of B. What is the coordinate of B?

On your line from least to greatest it should be B, C, A. If C is at 6 and the length of BC is 7 then B is 7 units away from 6 in the negative direction. 

So B is -1

200

Angle POR is a right angle. Ray OT bisects Angle POR. Angle POT = 4x +5. What is the value of x?

Angle POT = 45, so

4x+5 = 45

4x = 40

x=10

300

B is the midpoint of segment AC. AB = 3x+5 and BC 7x-11. What is AC?

x=4 so, the length of AC = AB + AC 

AC = 3(4)+5 +7(4)-11

AC = 12+5+28-11

AC= 34

400

A supplement of an angle is 3 less than twice as large as the angle. What is the angle and its supplement? 

The angle is 61 degrees and its supplement is 119

500

State sometimes, always or never for the following statements...

a) If two angles are complementary then they are adjacent 

b) If two angles are adjacent then they are a linear pair

c) If an angle is acute, then it has a supplement and a complement

a) sometimes

b) never 

c) always 

Midpoint/Distance (must show work with answer)

100

What is the formula for a midpoint? (x,y)

*write on board*

200

What is the formula to find the distance? 

*write on board*

300

Given points A(-5,6) and B(-11,3). find AB

AB = sqrt of 45

400

Given points S(-4,9) and T(5,-19) find the midpoint. 

x coordinate for the midpoint is (-4+5) divided by 2 

x = 1/2

y coordinate for the midpoint is (9+(-19)) divided by 2

y=-5 

So the midpoint is (1/2, -5)

500

B is the midpoint for a segment AC. Point A is (-4,3)

and Point B is (1,5)

C is (6,7)