Geometry Terms

Question 1

What makes up a line?

Answer 1

Any two points.

Question 2

What makes up a plane?

Answer 2

3 noncollinear points

Question 3

How many lines can be found in 2 points?

Answer 3

Exactly one.

Question 4

If two lines intersect, exactly where do they do so?

Answer 4

At exactly one point

Question 5

If two planes intersect, where do they do so?

Answer 5

One line.

Question 6

Two lines that have a point in common are what kinds of lines?

Answer 6

Intersecting

Question 7

What are the defining traits of parallel lines?

Answer 7

They are Coplanar (will point in the same direction, otherwise they would intersect) and will never touch

Question 8

What are the defining traits of skew lines?

Answer 8

They are noncoplanar, allowing the lines to be in different directions. Though they lie on different planes, they will never intersect

Question 9

What is the intersection of two planes?

Answer 9

A line (always(

Question 10

Two lines perpendicular to the same plane will be…

Answer 10

Coplanar

Question 11

Through a given point, how many planes can be perpendicular to a certain line? (Vice versa)

Answer 11

One

Question 12

If a line is perpendicular to both (2) intersecting lines at their point of intersection, what type of line is it?

Answer 12

The line is perpendicular to the plane determined by the two original intersecting lines

Question 13

What is the only way two planes can be perpendicular to each other?

Answer 13

One plane must contain the line perpendicular to the second one.

Question 14

If a line is perpendicular to each of two intersecting lines at their point of intersection, what is the relationship of that line & the plane?

Answer 14

The line is perpendicular to the plane

Question 15

How can planes be perpendicular to each other?

Answer 15

One plane contains a line perpendicular to the second plane

Question 16

If a line is perpendicular to a plane, where are lines perpendicular at its point of intersection to that particular line located?

Answer 16

They are located in the same plane

Question 17

If a line is perpendicular to a plane, what is the relationship between that particular plane and any other plane containing the line itself?

Answer 17

The planes containing the perpendicular line become perpendicular themselves to that specific plane

Question 18

If a plane intersections two parallel planes, what is the intersection?

Answer 18

Two parallel lines

Question 19

What shape will two planes form when they intersect at a particular line?

Answer 19

“X”

Question 20

Perpendicular

Answer 20

Intersection at the 90 degree angle of a line

Question 21

Parallel

Answer 21

-coplanar
-will never intersect (go in same direction- otherwise would immediately intersect on the same plane)

Question 22

Skew

Answer 22

Noncoplanar, will never touch (can be in different directions

Question 23

What is a ray that divides an angle unto 2 equal angles each gave a measure half of the given angle

Answer 23

Angle bisector

Question 24

What is the angle addition postulate?

Answer 24

In a situation in which D is the interior point in angle

Question 25

What is the segment addition postulate?

Answer 25

If 3 points are collinear (ex. A, B, C) and there is a point in the middle (B), Then AB + BC = AC

Question 26

If a point divides a segment unto 2 parts, what is its term given?

Answer 26

Midpoint

Question 27

Two angles whose sides are opposite rays of each other

Answer 27

Vertical angle

Question 28

Two coplanar angles with a common vertex (intersecting line) and common side but no common interior points (space inside the angle)

Answer 28

Adjacent angle

Question 29

Two angles whose measures = 90 degrees

Answer 29

Complementary

Question 30

Two angles whose measures = 180 degrees

Answer 30

Supplementary

Question 31

Midpoint formula

Answer 31

M = ( x1 + x2 /2 , y1 + y2/2)

Question 32

Formula for distance

Answer 32

D = square root of (x2-x1) squared + (y2-y1) squared

Question 33

Segment adddition postulate

Answer 33

AB + BC = AC

Question 34

Angle addition postulate

Answer 34

If D is the interior of < ABC, then

Question 35

What us an angle bisector

Answer 35

A ray dividing an angle into two equal angles which both measure half the given angle in its entirety

Question 36

Constructing congruent segments

Answer 36

Draw ray longer than given segment (draw abc label one endpoint. Open compass to measure length of original line and draw an arc on second line and label it where the arc and line intersect

Question 37

Constructing congruent angles

Answer 37

Draw ray and label endpoint, draw an arc that intersects both sides of the angle on the original and label the intersection- copy this on drawn ray. Then measure length of those two points together (height?) And copy it onto your drawn ray. Where they intersect is where you add a line and label

Question 38

Constructing angle bisectors

Answer 38

Draw arc on original angle and label intersections, draw extended arcs from each individual point and where they intersect is where you connect the dots and draw the line bisecting the angle

Question 39

Constructing perpendicular bisectors

Answer 39

Open compass to over 1/2 the length of line and draw wide arc on both sides, label and connect where the lines intersect

Question 40

Constructing perpendicular lines through a point

Answer 40

Start compass at point and draw horizontal arc passing through line twice, label the intersections and make a perpendicular bisector

Question 41

Constructing equilateral triangles

Answer 41

Copy and label line segment, and without changing compass draw an 2 arcs above line and label their intersection, forming a triangle