Jeopardy
Basic
Geometry
Definitions
Jeopardy
Distance and
Midpoint
Parallel and
Perpendicular Angles
Proofs
Category 1 100
The three undefined terms of geometry.
Category 1 100
Point, Line, Plane
Category 1 200
What is the definition of a ray, and name the ray below.
R
T
B
Category 1 200
Ray: Straight arrangement of points that begins at an endpoint and extends forever in one direction.
BR or BT
Category 1 300
Name the following figure and give the definition.
L
P
W
Category 1 300
Angle: Two rays that share a common endpoint, but are not the same line.
∠
P or
∠
LPW or
∠
WPL
Category 1 400
A point that lies exactly halfway between two points, dividing a line segment into two congruent line segments.
Category 1 400
A Midpoint
Category 1 500
A rigid motion that “slides” each point of a figure the same distance and direction.
Category 1 500
Translation
Category 2
100
What is the midpoint formula?
Category 2 100
x
1
2 x
2
, y
1
2 y
2
Category 2
200
Find the midpoint of the line segment AB, if A(3, - 6) and B(-9, - 4).
Category 2
200
Midpoint AB = (-3, -5)
Category 2
300
What is this formula used for: d
x
2
x
1
y
2
y
1
2
Category 2
300
Distance Formula
Category 2
400
What is the distance between the points A and B, if A(4, 2) and
B (-7, 6)
Category 2 d =
√137
400
Category 2
500
Find the midpoint and the distance between the points
M(-3, 12) and N(4, 8).
Category 2
500
Midpoint of MN = (½, 10)
Distance of MN =
√65
Category 3 100
Fill in the blanks:
Parallel lines have the same _______.
Perpendicular lines have slopes that are opposite
_________.
Category 3 100
Fill in the blanks:
Parallel lines have the same Slope.
Perpendicular lines have slopes that are opposite
Recipricals.
Category 3 200
Find the slope of a line parallel to the given line:
Line n : 2y + 3x = 4
Category 3 200
Slope = -3/2
Category 3 300
Find the slope of a line perpendicular to the given line:
Line k: 8x – 4y = 6
Category 3 300
Slope = ½
Category 3 400
Determine if the lines would be parallel, perpendicular, coinciding or intersecting.
2y - 6x = 5
9y = -3x - 18
Category 3 400
Perpendicular: y = 3x + 5/2 y = -1/3x - 2
Category 3 500
Write the equation of a line parallel to line m and passing through the point (8, -6).
line m: y = ¾x + 7
Category 3 500
Slope = ¾ y = ¾x - 12
Category 4
100
Name all the pairs of corresponding angles in the figure:
Category 4
<1 and <5, <2 and <6,
<4 and <8, <3 and <7
100
Category 4
200
The complement of an angle is 4 times greater then the angle. Find the measure of the angle and it’s complement.
Category 4
200
The angle = 18
o
The complement of the angle = 72
o
Category 4
300
If the measure of angle 1 is
43 o , what is the measure of angle 8 and angle 3?
Category 4 m
∠1 =
43 o m
∠3 =
43 o m
∠8 =
137 o
300
Category 4
400
Find the measure of each angle:
5x - 12 3x + 8
Category 4 x = 23 o
3(x) + 8 = 77 o
5(x) – 12 = 103 o
400
Category 4
500
The supplement of an angle is two thirds the measure of the angle. Find the measure of the angle and its supplement.
Category 4
500
The angle = 108 o
The supplement of the angle is 72 o
Category 5
100
Identify the hypothesis and the conclusion of the following statement:
If a parallelogram is a square, then it is a rhombus.
Category 5
100
Hypothesis: a parallelogram is a square
Conclusion: it is a rhombus
Category 5
200
Write the inverse of the following statement and determine if it is true.
If two angles are vertical angles, then the angles are congruent.
Category 5
200
If two angles are congruent, then they are vertical angles.
False, angles can be congruent without being vertical angles.
Congruent means that the angles have the same measure.
Category 5
Write a two column proof:
300
Given:
∠1 and ∠2 are supplementary.
Prove: ∠1 + ∠2 = 180 o
Category 5
300
Given: ∠ 1 and ∠ 2 are supplementary.
Prove: ∠ 1 + ∠ 2 = 180 o
Statement Reason
1. ∠1 and ∠2 are supplementary
1.Given
2. ∠1 + ∠2 = 180 o 2. Definition of supplementary angles
Category 5
Fill in the missing parts of the proof.
Given:
∠ABC and ∠CBD are a linear pair
Prove:
∠ABC + ∠CBD = 180 o
400
Statement Reason
1. ∠ABC and ∠CBD are a linear pair 1.
2. ∠ABC and ∠CBD are supplementary
3. ∠ABC + ∠CBD = 180 o
2.
3.
C
A B D
Category 5 400
Statement Reason
1. ∠ABC and ∠CBD are a linear pair
1. Given
2. ∠ABC and ∠CBD are supplementary
2. Linear Pair Postulate
3. ∠ABC + ∠CBD = 180 o 3. Definition of
Supplementary Angles
C
A B D
Category 5
Fill in the missing parts of the proof.
Given: line n // line m and line t is a t transversal
Prove:
∠4 ≌ ∠6
500 n m
Statement
1.
2. ∠4 ≌ ∠8
3. ∠8 ≌ ∠6
4.
Reason
1. Given
2. Corresponding
Angles Postulate
3.
4. Transitive Property of Congruence
Category 5 t
Statement
1. line n // line m
2. ∠4 ≌ ∠8
3. ∠8 ≌ ∠6
4. ∠4 ≌ ∠6
Reason
1. Given
2. Corresponding
Angles Postulate
3. Vertical Angle
Theorem
4. Transitive Property of Congruence n 500 m
