9H Math unit 2

Question 1

Postulate

Answer 1

Rules accepted as true, used as basis for reasoning

Question 2

Adjacent Angles

Answer 2

Angles that share a common vertex and side but do not share any interior point

Question 3

Congruent Angles

Answer 3

Angles that have the same measure (drawn as equal sign with squiggle on top)

Question 4

Midpoint

Answer 4

Midpoint divides a line segment into two equal parts

Question 5

Bisector

Answer 5

A line bisects an angle if it divides the angle into two congruent adjacent angles

Question 6

Complementary

Answer 6

Two angles that have a sum of 90 degrees

Question 7

Supplementary

Answer 7

Two angles that have a sum of 180 degrees

Question 8

Opposite Rays

Answer 8

Two rays are opposite if their rays point in opposite directions

Question 9

Linear Pair

Answer 9

Two adjacent angles are a linear pair if their non-common sides are opposite rays

Question 10

Vertical Angles

Answer 10

Two angles are vertical if their sides form two pairs of opposite rays

Question 11

Complements of the same angle are congruent

Answer 11

True (theorem)

Question 12

Supplements of the same angle are congruent

Answer 12

True (theorem) DOESN’T SAY THEY=180

Question 13

The angles in a linear pair are supplementary

Answer 13

True (theorem) DOESN’T SAY THEY=180

Question 14

Vertical angles are equal

Answer 14

True (theorem)

Question 15

If two angles are equal they are vertical

Answer 15

False, converse error of theorem

Question 16

Segment addition postulate

Answer 16

B is between A and C only if AB + BC = AC.

Question 17

Protractor postulare

Answer 17

The rays in a half rotation can be numbered 0-180. The measure of angle AOB is equal to the absolute value of the difference between the real numbers for ray OA and ray OB.

Question 18

Ruler Postulate

Answer 18

the points on a line can be matched one to one by a real number. The real number that corresponds to a point is called its coordinate.

Question 19

Angle Addition Postulate

Answer 19

if P is in the interior of angle RST, then the measure of angle RSP + the measure of angle PST = the measure of angle RST.

Question 20

Midpoint formula in one dimension

Answer 20

x1 + x2/2

Question 21

Midpoint formula in two dimensions

Answer 21

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