Theorems: Points and Lines - Deductive Reasoning

Question 1

1-1

Answer 1

If two lines intersect, then they intersect in exactly one point

Question 2

1-2

Answer 2

Through a line and a point not in the line there is exactly one plane.

Question 3

1-3

Answer 3

If two lines intersect, then exactly one plane contains the lines.

Question 4

Mid-Point Theorem

Answer 4

If M is the midpoint of line AB, then AM = 1/2AB and MB= 1/2AB.

Question 5

Angle Bisector Theorem

Answer 5

If ray BX is the bisector of angle ABC, then the measure of angle ABX = 1/2 the measure of angle ABC and the measure of angles XBC = 1/2 the measure of angles ABC.

Question 6

2-3

Answer 6

Vertical angles are congruent

Question 7

2-4

Answer 7

If two lines are perpendicular, then they form congruent adgacent angles.

Question 8

2-5

Answer 8

If two lines form congruent adjacent angles, then the lines are perpendicular.

Question 9

2-6

Answer 9

If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complmentory.

Question 10

2-7

Answer 10

If two angles are supplements of congruent angles, then the two angles are congruent.

Question 11

2-8

Answer 11

If two angles are compliments of congruent angles, then the two angles are congruent.