Test 1 Flashcards

(44 cards)

1
Q

Point

A

An exact location, marked by a dot. Signified by a capital letter.

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2
Q

Line

A

Set of (two) points that extend forever in opposite directions. Every line has an infinite number of points.

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3
Q

Colinear

A

On the same line

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4
Q

Non-collinear

A

Not on the same line… (duh)

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5
Q

Segment

A

Part of line with an exact length

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6
Q

Ray

A

Part of a line that starts at a point & goes forever in one direction.

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7
Q

Midpoint

A

Exact middle of two other points - can only be a midpoint if the two segments are equal. Must be colinear.

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8
Q

Opposite rays

A

Fancy term for a line - start at the same point, go in opposite directions.

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9
Q

Intersect

A

Connect, cross, something in common.

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10
Q

Plane

A

a flat surface with infinite length and width, no depth. Defined by 3 noncollinear points, or a capital letter.

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11
Q

Coplanar points

A

On the same plane

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12
Q

Noncoplanar

A

boy I sure wonder what this means >_<….

Points that are not on the same plane.

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13
Q

Between

A

A point that is between two others - NOT THE MIDPOINT.

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14
Q

Segment + Angle Addition Postulate

A

Sum of parts is equal to the whole.

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15
Q

Distance

A

Length between two points, cannot be negative.

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16
Q

Distance formula

A

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

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17
Q

Midpoint formula

A

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

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18
Q

Acute

A

Less than 90 degrees.

19
Q

Obtuse

A

More than 90 degrees

20
Q

Right angle

A

exactly 90 degrees

21
Q

Straight angle

A

Exactly 180 degrees

(can also be called a line, or opposite rays)

22
Q

Naming an angle

A

Using the symbol, by the named points (point, vertex, point), by the vertex only, by a number inside of the angle.

23
Q

Adjacent Angles

A

Share a side / ray

24
Q

Angle Bisector

A

Cutting the angle in two, EQUALLY. Cannot be a bisector if not equal.

25
Perpendicular
One thing insectering another at 90 degrees. An upside down T is the symbol.
26
Complementary Angles (complements)
Angles that add up to 90 degrees
27
Supplementary Angles (supplements)
Angles that add up to 180 degrees
28
Linear Pairs
Adjacent and supplementary angles.
29
Counterexample
One specific example where the statement is false, usually resulting from flipping the if/then statement
30
Proof
A list of steps written in Statement / Reason to show something is true
31
Vertical Angles
Angles formed by two intersecting lines and are directly across from one another - ALWAYS EQUAL
32
Reflexive Property
For every a, a = a. X = X, etc. Anything equal to itself equals itself.
33
Symmetric
For all numbers a and b, if a = b, then b = a.
34
Transitive
For all numbers a, b, and c, if a = b, and b = c, then a = c.
35
Addition and Subtraction
For all numbers, a, b, and c, if a = b, Then a + c = b + c and a - c = b - c
36
Multiplication and Division
For all numbers a, b, and c, if a = b Then ac = bc, and if c does not equal 0, a/c = b/c
37
Substitution Property
For all numbers a and b, if a = b, then a may be replaced by b in any equation or expression
38
Distributive
For all numbers a, b, and c, a(b+c) = ab + ac
39
Vertical Angle Theorem
Vertical angles are equal
40
Congruent Compliment Theorem
if two angles are complementary to the same angle (or congruent angles), they are congruent to each other.
41
Congruent Supplement Theorem
If two angles are supplementary to the same angle (or congruent angles), they are congruent to each other.
42
Compliment Angle Theorem
Two compliment angles = 90
43
Supplementary angle theorem
Two supplements = 180
44
Right angle theorem
Right angle = 90