Vocab

Question 1

Addition Property

Answer 1

If a=b, then a+c=b+c.
Add same thing to both sides of an equation.

Question 2

Angle Addition Postulate

Answer 2

If B is in the interior of <APC, then m<APB + m<BPC = m<APC. Sum of parts equal a whole.

Question 3

Angle Bisector (def.)

Answer 3

`A ray is an angle bisector if and only if it divides an angle into 2 congruent(equal) angles.

Question 4

Complementary Angles (def)

Answer 4

2 angles are complementary if and only if their sum is 90 degrees.

Question 5

Congruent Complements Theorem

Answer 5

If two angles are complements of the same angle (or congruent angles), then the two angles are congruent.

Question 6

Congruent Supplements Theorem

Answer 6

If two angles are supplements of the same angle(or congruent angles), then the two angles are congruent.

Question 7

Def. of congruent angles or segments

Answer 7

If two angles are congruent, then they have a equal measure

Question 8

Division Property

Answer 8

If a=b and c=0, then a/c =b/c.
(divide both sides by the same thing).

Question 9

Linear Pair of Angles(def.)

Answer 9

2 angles are a linear pair if and only if they are adjacent angles whose noncommon sides are opposite rays.

Question 10

Linear Pair Theorem

Answer 10

If 2 angles form a linear pair, then they are supplementary.

Question 11

Multiplication Property

Answer 11

If a=b, then ac=bc.
(multiply both sides by the same thing)

Question 12

Reflexive Property

Answer 12

For and real number a, a=a.

Question 13

Right angle (def)

Answer 13

An angle is right if it has a measure of 90 degrees.

Question 14

Subtraction Property

Answer 14

If a=b, then a-c = b-c.
(subtract same thing from both sides of an equation)

Question 15

Substitution Property

Answer 15

If a=b, then A may be substituted for B in an equation or expression.

Question 16

Supplementary Angles (def.)

Answer 16

2 angles are supplementary if and only if their sum is 180 degrees.

Question 17

Transitive Property

Answer 17

If a=b and b=c, then a=c.

Question 18

Vertical Angles (def.)

Answer 18

2 angles are vertical if and only if they are nonadjacent angles formed by intersecting lines.

Question 19

Vertical Angles Theorem

Answer 19

If 2 angle’s are vertical then they are congruent.

Question 20

Corresponding angles Postulate

Answer 20

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Question 21

Alternate Interior Angles Theorem

Answer 21

If two parallel lines are cut by a transversal, then the two pairs of alternative interior angles are congruent.

Question 22

Alternate Exterior Angles Theorem

Answer 22

If two parallel lines are cut by a transversal, then the two pairs of alternate exterior angles are congruent.

Question 23

Same-Side Interior Angles Theorem

Answer 23

If two parallel lines are but by a transversal, then the two pairs of same-side interior angles are supplementary.

Question 24

Converse of Alternate Interior Angles Theorem

Answer 24

If two lines are cut by a transversal so that the alternate interior angles are congruent, then the lines are parallel.

Question 25

Converse of the Alternate Exterior Angle Theorem

Answer 25

If two angles are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel.

Question 26

Converse of the Same-Side Interior Angle Theorem

Answer 26

If two lines are cut by a transversal and the consecutive interior angles are supplementary, then the lines are parallel.

Question 27

Converse of the Corresponding Angle Theorem

Answer 27

If two lines are intersected by a transversal formed congruent corresponding angles, then the lines are parallel.

Question 28

Bisector

Answer 28

The bisector is a line that divides a line or an angle into two equal equivalent parts.

Question 29

Parallel Lines (def.)

Answer 29

Parallel lines are two or more lines that are always the same distance apart and never intersect, even if they are extended infinitely in both directions.

Question 30

Symmetric Property

Answer 30

The symmetric Property is a fundamental mathematical property that states that if one side of an equation is equal to the other side, then the two sides are interchangeable.

Question 31

Perpendicular Transversal Theorem

Answer 31

The Perpendicular Transversal Theorem tells you that in a plane , if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

Question 32

Perpendicular Bisector

Answer 32

A perpendicular bisector is a line, line segment, ray, or plane, that divides a line segment into two equal parts and intersects the line segment at a right angle.

Question 33

Perpendicular Lines (def.)

Answer 33

Perpendicular lines are two straight lines that meet or intersect at 90 degrees.