Jeopardy

Report
Jeopardy
Basic
Distance
Geometry
and
Parallel and
Definitions Midpoint Perpendicular Angles
Proofs
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
Category 1
100
The three undefined terms of
geometry.
Category 1
100
Point, Line, Plane
200
Category 1
What is the definition of a ray,
and name the ray below.
R
B
T
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
  x1  x 2   y 1  y 2  
,


2
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)
300
Category 2
What is this formula used for:
d 
x2
 x1    y 2  y 1 
2
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
100
Category 4
Name all the pairs of
corresponding angles in the figure:
1
2
4
3
5 6
7
8
100
Category 4
<1 and <5, <2 and <6,
<4 and <8, <3 and <7
1
2
4
3
5 6
7
8
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.
200
Category 4
The angle =
o
18
The complement of the
o
angle = 72
300
Category 4
If the measure of angle 1 is
43o, what is the measure of
angle 8 and angle 3?
1
2
4
3
5 6
7
8
300
Category 4
m∠1 = 43o
m∠3 = 43o
m∠8 = 137o
1
2
4
3
5 6
7
8
400
Category 4
Find the measure of each
angle:
5x - 12
3x + 8
400
Category 4
x = 23o
3(x) + 8 =
o
77
5(x) – 12 = 103o
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.
500
Category 4
The angle =
o
108
The supplement of the
o
angle is 72
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
300
Write a two column proof:
Given: ∠1 and ∠2 are
supplementary.
Prove: ∠1 + ∠2 = 180o
300
Category 5
Given: ∠1 and ∠2 are supplementary.
Prove: ∠1 + ∠2 = 180o
Statement
1. ∠1 and ∠2 are
supplementary
2. ∠1 + ∠2 = 180o
Reason
1.Given
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 = 180o
Statement
1. ∠ABC and ∠CBD are a linear pair
2. ∠ABC and ∠CBD are
supplementary
3. ∠ABC + ∠CBD = 180o
C
A
B
D
Reason
1.
2.
3.
400
400
Category 5
Statement
1. ∠ABC and ∠CBD are a
linear pair
2. ∠ABC and ∠CBD are
supplementary
3. ∠ABC + ∠CBD = 180o
Reason
1. Given
2. Linear Pair Postulate
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
1 23
Prove: ∠4 ≌ ∠6
4
Statement
1.
2. ∠4 ≌ ∠8
3. ∠8 ≌ ∠6
4.
Reason
1. Given
2. Corresponding
Angles Postulate
3.
4. Transitive Property
of Congruence
500
n
5 67
8
m
Category 5
Statement
1. line n // line m
2. ∠4 ≌ ∠8
3. ∠8 ≌ ∠6
4. ∠4 ≌ ∠6
t
1 23
4
500
n
m
5 67
8
Reason
1. Given
2. Corresponding
Angles Postulate
3. Vertical Angle
Theorem
4. Transitive Property
of Congruence

similar documents