Blue Sheet #3

Question 1

Def of Angle

Answer 1

An angle is the union of two rays that have the same endpoint

Question 2

Angle whose m = 0º

Answer 2

Zero Angle

Question 2

Angle Addition Property

Answer 2

If Ray VC is in the interior of <AVB, then m<AVC + m<CVB = m<AVB

Question 3

Angle which 0º < m < 90º

Answer 3

Acute Angle

Question 4

Angle whose m = 90º

Answer 4

Right Angle

Question 5

Angle which 90º < m < 180º

Answer 5

Obtuse Angle

Question 6

Angle whose m = 180º

Answer 6

Straight Angle

Question 7

If the m of Angle 1 + m of Angle 2 = 90º, then the measure of the two angles are _____________

Answer 7

Complementary

Question 8

If the m of Angle 1 + m of Angle 2 = 180º, then the measure of the two angles are _____________

Answer 8

Supplementary

Question 9

Def of Adjacent Angles

Answer 9

Two non-straight and non-zero angles are Adjacent Angles IFF a common side is interior to the angle formed by the non-common sides

Question 10

Def of a Linear Pair

Answer 10

Two non-straight and non-zero angles are a Linear Pair IFF they are adjacent and their non-common side are opposite rays

Question 11

Def of Vertical Angles

Answer 11

Two non-straight and non-zero angles are Vertical Angles IFF their sides form two lines

Question 12

Linear Pair Theorem

Answer 12

If two angles form a linear pair, then they are supplementary

Question 13

Vertical Angle Theorem

Answer 13

If two angles are vertical angles, then they have equal measures

Question 14

Def of Angle Bisector

Answer 14

Ray VR is an Angle Bisector of <PVQ IFF Ray VR is in the interior of <PVQ and m<PVR = m<RVQ

Question 15

In a proof, when you are giving a justification, what are the three types of justifications?

Answer 15

DEFINITIONS (Meaning and S.C.),
POSTULATES,
THEOREMS

Question 16

Corresponding Angles Postulate

Answer 16

If two coplanar lines are cut by a transversal so that two corresponding angles have the same measure, then the lines are parallel

Question 17

Symbolize the Corresponding Angles Postulate

Answer 17

corr. <s = —> || lines

Question 18

Parallel Lines Postulate

Answer 18

If two lines are parallel and are cut by a transversal, then their corresponding angles have the same measure

Question 19

Symbolize Parallel Lines Postulate

Answer 19

|| lines —> corr. <s =

Question 20

Def of Slope

Answer 20

The slope (m) of the line through
(x1, y1) and (x2, y2), with x1 ≠ x2,
is m = (y2 — y1) / (x2 — x1)

Question 21

Parallel Lines and Slopes Theorem

Answer 21

Two non-vertical lines are parallel IFF they have the same slope

Question 22

Transitivity of Parallelism Theorem

Answer 22

In a plane, if L || M and M || N, then L || N

Question 23

Def of Perpendicular

Answer 23

Two segments, rays, or lines are Perpendicular IFF the lines containing them form a 90º angle

Question 24

What are the two ways of showing something is perpendicular?

Answer 24

L (the little Square) and † (the line on the bottom with a line perpendicular to that vertically)

Question 25

Two Perpendiculars Theorem

Answer 25

If two coplanar lines L and M are each perpendicular to the same line, then they are parallel to each other

Question 26

Perpendicular to Parallels Theorem

Answer 26

In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other

Question 27

Perpendicular Lines and Slopes Theorem

Answer 27

Two non-vertical lines are perpendicular IFF the product of their slopes is -1