JEOPARDY!

Foundations for Geometry

Geometric Reasoning

Parallel and Perpendicular

Lines

Triangle Congruence

Triangle Attributes

and Properties

100 pts 100 pts 100 pts 100 pts 100 pts

200 pts 200 pts 200 pts200 pts

300 pts

200 pts

300 pts 300 pts 300 pts 300 pts

400 pts 400 pts 400 pts 400 pts 400 pts

500 pts 500 pts500 pts 500 pts 500 pts

Final

Q is between P and R. If PR = 14x - 6, and QR = 6x - 4, what is an

expression for PQ?

What is 8x - 2?

1.100

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What is a line?

1.200

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What is the intersection of two planes?

What is 96 degrees?

1.300

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NPu ruu

bisects ∠MNQ, m∠MNP = (6x-12)° and m∠PNQ = (4x+8)°. Find m∠MNQ.

Two angles are complementary. One of the angles has a measure of 4x - 10. What is an expression for the

measure of the other angle?

What is -4x + 100?

1.400

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Two angles are supplementary. One angle has a measure of 14x+ 12 and the other measures 6x - 2. What is

the value of x?

What is 8.5?

1.500

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Write a conditional statement for the following: A rectangle has congruent

diagonals.

What is “If a figure is a rectangle, then it has congruent diagonals.”

2.100

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Draw a valid conclusion from the following:

If you fly from Texas to California, you travel from the central to the Pacific

time zone. If you travel from the central to the Pacific time zone, then

you gain two hours.

What is: “If you fly from TX to CA, you gain two hours.”

2.200

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Can you conclude that a dork is white from the following:

If an object is white, then it is a circle.

If an object is a circle, then it is ugly.

A nerd is a circle.

A dork is ugly.

What is no?

2.300

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2.400

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Determine if a true biconditional can be written from the conditional

statement. If not, give a counterexample.

If n2 >4, then n > 2.

What is no, sample counterexample: n = -3.

Find the next two terms in the pattern:

0, 5, 8, 17, 24, 37,…

What is 48, 65?

2.500

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What are ∠8, ∠10, and ∠12?

3.100

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If l || m, which angle(s) are congruent to ? ∠5

What is r || t?

3.200

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If 4 and 7 are supplementary, what can you conclude?

What is the slope of the line perpendicular to the line that passes

through (8, 2) and (-3, 4)?

What is 11/2?

3.300

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The point (2, -8) was reflected across the x-axis. What are the coordinates

of the new point?

What is (2, 8)?

3.400

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The point-slope form of the line that passes through the points (8, -3) and

(-7, -8).

What is y + 3 = 1/3(x - 8) or y + 8 = 1/3 (x + 7)?

3.500

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Daily Double

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DAILY

DOUBLE

What is SSS, ASA, AAS, SAS?

4.100

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A B

CD

ABCD is a parallelogram. Name all triangle congruence theorems that can be used to prove ABC CDA.

Complete the proof:

What is: 2. Def. of bisect; 3. Vert. angles thm.; 5. CPCTC.

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Statements Reasons

1. 1. Given

2. 2.

3. ∠JGH ∠LGK 3.

4. JGH LGK 4. SAS

5. ∠JHG ∠LKG 5.

JL and HK bisect each other.

JG ≅LG, and HG ≅KG

QUT is isosceles. If m∠Q = 55 and m∠SUT = 10, what is

m∠3?

What is 65 degrees?

4.300

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Given: Isosceles triangle ACD with angle D as its vertex angle. B is

the midpoint of .

If AB = x + 5, BC = 2x-3, and CD = 2x + 6, what is the perimeter

of the triangle?

What is 70 units?

4.400

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AC

BACK

4.500

Given:

Check answers.

AD || BC,AD ≅CB

Prove: ∆AED ∆CEB

Daily Double

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DAILY

DOUBLE

The point of intersection of the altitudes of a triangle.

What is the orthocenter?

5.100

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What are the vertices?

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5.200

Complete the statement: The circumcenter of a triangle is

equidistant from the _______________ of the triangle.

What is 3.25 < x < 7?

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5.300

The range of values for x in the figure.

What is ?

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5.400

A right triangle has a hypotenuse of length 11 and a leg of length 5. What

is the length of the other leg in simplest radical form?

4 6

What is 1?BACK

5.500

The value of x in the figure:

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Final Jeopardy

FINAL

JEOPARDY

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Points of Concurrency

POINTS OF

CONCURRENCY

Algebraically determine the circumcenter of ∆ABC with vertices

A(0, 0), B(6, 4) and C(12, 0).

(Write the equations of the three relevant line segments and find the

coordinate of the circumcenter!!)Equations of the perp. bisectors: x = 6

y = -3/2x + 13/2

y = 3/2x - 23/2

Circumcenter: (6, -2.5)

Final Question

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