Post on 17-Dec-2015
transcript
JeopardyBasic
Geometry Definitions
Distance and
MidpointParallel and Perpendicula
rAngles Proofs
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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.
B
RT
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
PW
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
2,
22121 yyxx
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:
2122
12 yyxxd
Distance Formula
Category 2 300
Category 2 400
What is the distance between the points A and B, if A(4, 2) and
B (-7, 6)
Category 2 400
d = √137
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
Slope = -3/2
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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 = 59y = -3x - 18
Category 3 400
Perpendicular:
y = 3x + 5/2
y = -1/3x - 2
Category 3 500Write 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:
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100Category 4
<1 and <5, <2 and <6, <4 and <8, <3 and <7
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200
Category 4
The complement of an angle is 4 times greater then the angle. Find the measure of the angle and it’s complement.
200Category 4
The angle = 18o
The complement of the angle = 72o
300Category 4
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If the measure of angle 1 is 43o, what is the measure of angle 8 and angle 3?
300Category 4
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m∠1 = 43o
m∠3 = 43o
m∠8 = 137o
400Category 4
Find the measure of each angle:
3x + 85x - 12
400Category 4
x = 23o
3(x) + 8 = 77o
5(x) – 12 = 103o
500Category 4
The supplement of an angle is two thirds the measure of the angle. Find the measure of the angle and its supplement.
500Category 4
The angle = 108o
The supplement of the angle is 72o
Category 5 100
Identify the hypothesis and the conclusion of the following statement:
If a parallelogram is a square, then it is a rhombus.
100Category 5
Hypothesis: a parallelogram is a square
Conclusion: it is a rhombus
200Category 5
Write the inverse of the following statement and determine if it is true.
If two angles are vertical angles, then the angles are congruent.
200Category 5
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.
300Category 5
Write a two column proof:
Given: ∠1 and ∠2 are supplementary.Prove: ∠1 + ∠2 = 180o
300Category 5
Given: 1 and 2 are supplementary.∠ ∠Prove: 1 + 2 = 180∠ ∠ o
Statement Reason
1. ∠1 and ∠2 are supplementary 1.Given
2. ∠1 + ∠2 = 180o 2. Definition of supplementary angles
400 Category 5Fill in the missing parts of the proof.Given:∠ABC and ∠CBD are a linear pairProve: ∠ABC + ∠CBD = 180oStatement Reason
1. ∠ABC and ∠CBD are a linear pair 1.
2. ∠ABC and ∠CBD are supplementary 2.
3. ∠ABC + ∠CBD = 180o 3.
A B
C
D
400Category 5
Statement Reason1. ∠ABC and ∠CBD are a linear pair 1. Given
2. ∠ABC and ∠CBD are supplementary 2. Linear Pair Postulate
3. ∠ABC + ∠CBD = 180o 3. Definition of Supplementary Angles
A B
C
D
500Category 5Fill in the missing parts of the proof.Given: line n // line m and line t is a transversalProve: ∠4 ≌ ∠6 1 2
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Statement Reason
1. 1.Given
2. ∠4 ≌ ∠8 2. Corresponding Angles Postulate
3. ∠8 ≌ ∠6 3.
4. 4. Transitive Property of Congruence
500Category 5
Statement Reason1. line n // line m 1.Given2. ∠4 ≌ ∠8 2. Corresponding
Angles Postulate3. ∠8 ≌ ∠6 3. Vertical Angle
Theorem4. ∠4 ≌ ∠6 4. Transitive Property
of Congruence
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