Midterm Review

Question 1

What are the undefined terms in geometry

Answer 1

Point, Line, Plane

Question 2

Segment Def

Answer 2

A figure bounded by two distinct points on a line

Question 3

Ray Def

Answer 3

a sequence of points with one endpoint or point of origin extending infinitely in one direction

Question 4

Opposite Ray Def

Answer 4

Two rays with the same endpoint that extend in opposite directions

Question 5

Congruence Def

Answer 5

The quality of having the exact same size and shape as another figure

Question 6

Betweenness def

Answer 6

The quality of being between two other points on a line

Question 7

Midpoint Def

Answer 7

A point that divides a segment into two congruent segments

Question 8

Segment Bisector Def

Answer 8

A line that divides a segment into two congruent segments

Question 9

Distance Def

Answer 9

The length between two distinct points

Question 10

Angles Def

Answer 10

A figure formed by two rays sharing a common endpoint

Question 11

Angle Bisector Def

Answer 11

A ray that divides an angle into two congruent angles

Question 12

Collinear Def

Answer 12

The quality of being on the same line as another point

Question 13

Segment Addition Postulate

Answer 13

The length of two segments may be added together to form one greater length

Question 14

Angle Addition Postulate

Answer 14

The measure of two angles may be added together to form an angle of greater measure

Question 15

Linear Pair Definition

Answer 15

A pair of adjacent angles whos non common sides are formed by opposite rays

Question 16

Midpoint Formula

Answer 16

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

Question 17

Distance formula

Answer 17

d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

Question 18

Symetrical Property of Equality/Congruence

Answer 18

If a = B, B = A

Question 19

Linear Pair Theorem

Answer 19

If two angles form a linear pair, they are supplementary

Question 20

congruent Supplements Theorem

Answer 20

If <A and <B is a supplement of <C, <A=~<B

Question 21

Right Angle Congruence Theorem

Answer 21

All right <s are equal

Question 22

Congruent complements theorem

Answer 22

If <A and <B are complement of <C, <A=~<B

Question 23

Common Segments Theorem

Answer 23

If two collinear segments share a common segment and the non-overlapping parts are congruent, then the two larger segments are congruent.

A—B—C—D
If AB = CD, AC=BD

Question 24

Vertical Angles Theorem

Answer 24

Vertical angles are congruent

Question 25

Congruent Sup. Are Right

Answer 25

Congruent supplements are always right

Question 26

Perpendicular Def

Answer 26

At an angle of 90°/Right angle to a given line, plane, or surface.

Question 27

Skew Line

Answer 27

Neither parallel nor intersecting

Question 28

PCA

Answer 28

If two parallel lines are cut by a transversal, each pair of corresponding angles are congruent

Question 29

PAI

Answer 29

Paralell Alternate Exterior is congrent

Question 30

PAE

Answer 30

Parallel alternate interior is congreunt

Question 31

PSSIS

Answer 31

Parallel Same Side Interior is supplementary

Question 32

CAP

Answer 32

If each pair of corresponding angles are congruent, two parallel lines are cut by a transversal

Question 33

AIP

Answer 33

If alternate interior angles are congruent, the lines they cut are paralell

Question 34

SSISP

Answer 34

If Same Side Interior angles are supplementary, the lines they cut are paralel

Question 35

Perpendicular transversal theorems

Answer 35

if there are two parallel lines in the same plane and there’s a line perpendicular to one of them, then it’s also perpendicular to the other one.

Question 36

Lines perpendicualr to the transversal theorem

Answer 36

If two lines are perpendicular to the same transversal, then the two lines are parallel to each other.

Question 37

Triangle Sum Theorem

Answer 37

the sum of the three interior angles of any triangle is always 180 degrees.

Question 38

HL

Answer 38

If the hypoteneus and leg of two right triangles are congruent, then the triangle as a whole is congruent

Question 39

CPCTC

Answer 39

Corresponding Parts of Congruent Triangles are Congruent

Question 40

BAT

Answer 40

Base angles are congruent in isosceles triangles

Question 41

CBAT

Answer 41

If base angles are congruent a triangle is isosceles

Question 42

Perpendicular Bisector Theorem

Answer 42

If a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Question 43

Angle Bisector Theorem

Answer 43

when an angle in a triangle is split into two equal angles, it divides the opposite side into two parts.

Question 44

Centroid Theorem

Answer 44

the centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.

Question 45

Midsegment Theorem

Answer 45

the midsegment between any two sides of a triangle is parallel to and half the length of the third side.

Question 46

Centroid

Answer 46

The point of concurrency for the medians

Question 47

Incenter

Answer 47

The point of concurrency of the angle bisectors

Question 48

Orthocenter

Answer 48

The point of concurrency for altitudes

Question 49

Circumcenter

Answer 49

The point of concurrency for perpendicular bisectors

Question 50

Median Def

Answer 50

Vertex to opposite sides midpoint

Question 51

Altitude def

Answer 51

Vertex to opposite side perpendicular to opposite side

Question 52

30-60-90

Answer 52

S = Shortest, L = Longer, H = Hypotenuse:

L=Sx(sqr root 3), H = 2S

Question 53

45-45-90

Answer 53

H=L(sqr root of 2)

Question 54

Hinge Theorem

Answer 54

If two triangles have two congruent sides (sides of equal length), then the triangle with the larger angle between those sides will have a longer third side.

Answer 55

Tabula Rasa