Upload
margaret-atkinson
View
217
Download
1
Embed Size (px)
Citation preview
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
BACK
What is a line?
1.200
BACK
What is the intersection of two planes?
What is 96 degrees?
1.300
BACK
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
BACK
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
BACK
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
BACK
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
BACK
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
BACK
2.400
BACK
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
BACK
What are ∠8, ∠10, and ∠12?
3.100
BACK
If l || m, which angle(s) are congruent to ? ∠5
What is r || t?
3.200
BACK
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
BACK
The point (2, -8) was reflected across the x-axis. What are the coordinates
of the new point?
What is (2, 8)?
3.400
BACK
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
BACK
Daily Double
NEXT
DAILY
DOUBLE
What is SSS, ASA, AAS, SAS?
4.100
BACK
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.
4.200
BACK
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
BACK
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
BACK
AC
BACK
4.500
Given:
Check answers.
AD || BC,AD ≅CB
Prove: ∆AED ∆CEB
Daily Double
NEXT
DAILY
DOUBLE
The point of intersection of the altitudes of a triangle.
What is the orthocenter?
5.100
BACK
What are the vertices?
BACK
5.200
Complete the statement: The circumcenter of a triangle is
equidistant from the _______________ of the triangle.
What is 3.25 < x < 7?
BACK
5.300
The range of values for x in the figure.
What is ?
BACK
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:
NEXT
Final Jeopardy
FINAL
JEOPARDY
NEXT
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
BACK