Transcript Jeopardy

Jeopardy
Basic
Distance
Geometry
and
Parallel and
Definitions Midpoint Perpendicular Angles
Proofs
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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