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Jeopardy Basic Geometry Definitio ns Distance and Midpoint Parallel and Perpendicul Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500
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Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Dec 17, 2015

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Page 1: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

JeopardyBasic

Geometry Definitions

Distance and

MidpointParallel and Perpendicula

rAngles Proofs

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Page 2: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 1 100

The three undefined terms of geometry.

Page 3: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 1 100

Point, Line, Plane

Page 4: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 1 200

What is the definition of a ray, and name the ray below.

B

RT

Page 5: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 1 200

Ray: Straight arrangement of points that begins at an endpoint and extends forever in one direction.

BR or BT

Page 6: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 1 300

Name the following figure and give the definition.

L

PW

Page 7: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 1 300

Angle: Two rays that share a common endpoint, but are not the same line.

∠P or ∠ LPW or ∠ WPL

Page 8: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 1 400

A point that lies exactly halfway between two points, dividing a line segment into two congruent line segments.

Page 9: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 1 400

A Midpoint

Page 10: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 1 500

A rigid motion that “slides” each point of a figure the same distance and direction.

Page 11: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 1 500

Translation

Page 12: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 2 100

What is the midpoint formula?

Page 13: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 2 100

2,

22121 yyxx

Page 14: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 2 200

Find the midpoint of the line segment AB, if A(3, - 6) and B(-9, - 4).

Page 15: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 2 200

Midpoint AB = (-3, -5)

Page 16: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 2 300

What is this formula used for:

2122

12 yyxxd

Page 17: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Distance Formula

Category 2 300

Page 18: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 2 400

What is the distance between the points A and B, if A(4, 2) and

B (-7, 6)

Page 19: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 2 400

d = √137

Page 20: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 2 500

Find the midpoint and the distance between the points M(-3, 12) and N(4, 8).

Page 21: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 2 500

Midpoint of MN = (½, 10)

Distance of MN = √65

Page 22: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 3 100

Fill in the blanks:Parallel lines have the

same _______.

Perpendicular lines have slopes that are opposite _________.

Page 23: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 3 100

Fill in the blanks:Parallel lines have the

same Slope.

Perpendicular lines have slopes that are opposite Recipricals.

Page 24: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 3 200

Find the slope of a line parallel to the given line:

Line n : 2y + 3x = 4

Page 25: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 3

Slope = -3/2

200

Page 26: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 3 300

Find the slope of a line perpendicular to the given

line:

Line k: 8x – 4y = 6

Page 27: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 3 300

Slope = -½

Page 28: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 3 400

Determine if the lines would be parallel,

perpendicular, coinciding or intersecting.

2y - 6x = 59y = -3x - 18

Page 29: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 3 400

Perpendicular:

y = 3x + 5/2

y = -1/3x - 2

Page 30: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 3 500Write the equation of a line parallel to line m and passing through the point (8, -6).

line m: y = ¾x + 7

Page 31: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 3 500

Slope = ¾

y = ¾x - 12

Page 32: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 4 100

Name all the pairs of corresponding angles in the figure:

1 234

5 678

Page 33: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

100Category 4

<1 and <5, <2 and <6, <4 and <8, <3 and <7

1 234

5 678

Page 34: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

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.

Page 35: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

200Category 4

The angle = 18o

The complement of the angle = 72o

Page 36: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

300Category 4

1 234

5 678

If the measure of angle 1 is 43o, what is the measure of angle 8 and angle 3?

Page 37: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

300Category 4

1 234

5 678

m∠1 = 43o

m∠3 = 43o

m∠8 = 137o

Page 38: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

400Category 4

Find the measure of each angle:

3x + 85x - 12

Page 39: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

400Category 4

x = 23o

3(x) + 8 = 77o

5(x) – 12 = 103o

Page 40: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

500Category 4

The supplement of an angle is two thirds the measure of the angle. Find the measure of the angle and its supplement.

Page 41: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

500Category 4

The angle = 108o

The supplement of the angle is 72o

Page 42: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

Category 5 100

Identify the hypothesis and the conclusion of the following statement:

If a parallelogram is a square, then it is a rhombus.

Page 43: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

100Category 5

Hypothesis: a parallelogram is a square

Conclusion: it is a rhombus

Page 44: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

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.

Page 45: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

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.

Page 46: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

300Category 5

Write a two column proof:

Given: ∠1 and ∠2 are supplementary.Prove: ∠1 + ∠2 = 180o

Page 47: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

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

Page 48: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

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

Page 49: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

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

Page 50: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

500Category 5Fill in the missing parts of the proof.Given: line n // line m and line t is a transversalProve: ∠4 ≌ ∠6 1 2

34

5 678

n

m

t

Statement Reason

1. 1.Given

2. ∠4 ≌ ∠8 2. Corresponding Angles Postulate

3. ∠8 ≌ ∠6 3.

4. 4. Transitive Property of Congruence

Page 51: Jeopardy Basic Geometry Definitions Distance and Midpoint Parallel and Perpendicular Angles Proofs 100 200 300 400 500 100 200 300 400 500 100 200 300.

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

1 234

5 678

n

m

t