Points, Lines, Planes
Logic and Reasoning
Parallel and Perpendicular Lines
Vocabulary
Anything Goes
100
Which of the names below are NOT a good name for the plane pictured above:
a. Plane C
b. Plane EGB
c. Plane EBF
d. Plane FGE
Option C: Plane EBF
100
Using inductive reasoning, what are the next two numbers in the sequence.
36 and 49
100
Fill in the blank:
If two lines are parallel, then Same-side interior angles are ____________
Supplementary
100
Fill in the blank:
A midpoint splits a line segment into two __________ parts.
Congruent
100
Fill in the blank:
Vertical Angles are ______________
Congruent
200
Suppose A is the midpoint of segment XY. Find the length of XA.
XA = 9
200
What is the converse of the following statement:
If a polygon has eight sides, then it is an octagon.
If a polygon is an octagon, then it has eight sides.
200
Suppose L || M. Find the value of x.
x = 12
200
Complementary angles are angles that add to which number?
90 degrees
200
Give a counterexample to the following statement:
If you play a sport with a ball, then you play soccer.
Many examples:
Football, Golf, Bowling, Tennis, Softball etc.
300
What is the value of x if
mangleABD = 79
mangleABD = 79.
x = 6
300
Conditional: If an angle is a right angle, then its measure is 90 degrees.
Converse: If an angles measure is 90 degrees, then it is a right angle.
Are both of the statements above true? If so, write a biconditional statement. If not, give a counterexample.
An angle is a right angle if and only if its measure is 90 degrees.
300
Write a line:
y = 2x - 5
300
Perpendicular lines are lines that intersect at ___________ angles
Right
300
Solve for x:
400
angleKPL and angleJPL are linear pairs. Find the measure of both angles.
angleKPL = 64
angleJPL = 116
400
What property is used to justify going from the first step to the second step.
The Transitive Property
400
Suppose angle1 cong angle9. Which two lines must be parallel. Why?
Lines J and K are parallel by the Converse of the Corresponding Angles theorem.
400
Obtuse angles can be between __________ and ___________ degree angles
90 and 180
400
Solve for x, then solve for y.
x = 38, y = 104
500
Suppose there is a segment AC, with point B SOMEWHERE in between. The length of segment AB is 5x + 4, and the length of segment BC is 8x - 3. If the entire length of AC is 79, what is the length of AB?
(Hint: draw a picture!!!)
AB = 34
500
a. Given
b. Definition of Midpoint
c. Substitution Property
d. 2x = 12
e. Division Property
500
Suppose L || M. Find the values of x and y.
x = 16, y = 10
500
Any Exterior Angle of a triangle is equal to the sum of its ___________ ______________ __________.
Remote Interior Angles
500
Solve for x.
x = 7
