Transcript Jeopardy - Garnet Valley School District

Jeopardy
Chapter 1 Chapter 2
Chapter 3
Chapter 4
Chapter 5
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$100 Question from Chapter 1
Name the intersection of plane TSR
And EG in the diagram below.
G
S
R
T
L
F
E
$100 Answer from Chapter 1
Point R
$200 Question from Chapter 1
Find the radius of a circle whose circumference is
46
$200 Answer from H1
23
Circumference = Pi x Diameter.
Set 46 pi = pi x d. Then divide by
pi to find d = 46. Radius is half
the diameter.
$300 Question from Chapter 1
Find the distance between
(-2, 3) and (1, -3).
$300 Answer from Chapter 1
(x2 – x1)^2 + (y2 – y1)^2
(1 – (-2))^2 + ((-3) – 3)^2
3^2 + (-6)^2
9 + 36 = 45 = 9(5) =
3 5
$400 Question from Chapter 1
How many dots are in the next picture in
the sequence?
$400 Answer from Chapter 1
192
3, (x 4) 12 , (x 4) = 48, (x 4) = 192
$500 Question from Chapter 1
Locate points H, O and S on a segment so
S is between O and H. Let SH = 4x + 2,
OH = 8x + 16, and OS = 10x + 2. Find the
measure of OS.
$500 Answer from Chapter 1
22
Part + Part = Whole
4x + 2 + 10x + 2 = 8x + 16
x=2
OS = 10(2) + 2 = 22
$100 Question from Chapter 2
A
B
D
C
True or False? Angles ABD and DBC
above are adjacent, acute and
complementary.
$100 Answer from Chapter 2
True. They are adjacent (share a side with
each other) acute (each are less than 90),
and complementary (have measures that
add to 90).
$200 Question from Chapter 2
Given “If it rains, we won’t go”, what word
describes “If it doesn’t rain, then we will
go.
$200 Answer from Chapter 2
Inverse
The inverse leaves the hypothesis as the
“if” and the conclusion as the “then”,
but says the opposite of each.
$300 Question from Chapter 2
Which property states that if AB = AC,
Then AC = AB?
$300 Answer from Chapter 2
The symmetric property.
Other properties:
Reflexive: everything is = to itself
Substitution: if two things are =, one can
be put in place of the other.
Transitive: given 2 equations, “you can
cut out the middle man”.
$400 Question from Chapter 2
“The last letter in the name of every month is “y”.”
Give one example that supports the conjecture
and a counterexample that proves it is false,
$400 Answer from Chapter 2
January, July, etc.
March, August, etc.
$500 Question from Chapter 2
Classify the points R,S and E as
Collinear
or
Noncollinear
G
S
R
T
L
F
E
$500 Answer from Chapter 2
Noncollinear
$100 Question from Chapter 3
Which theorem tells us that the lines
below are parallel?
$100 Answer from Chapter 3
Alternate exterior angles converse
The converses say IF the angles are
= (or supplementary), THEN the
lines are parallel.
$200 Question from Chapter 3
Find angle 1 if the lines are parallel.
2x + 12o
1
22xo
$200 Answer from Chapter 3
26
2x + 12 + 22x = 180
24x + 12 = 180
24x = 168
x=7
2(7) + 12 = 14 + 12 = 26
$300 Question from Chapter 3
What name is given to angles 1 and 2
in the diagram below?
2
1
$300 Answer from Chapter 3
Consecutive
Interior
Angles
$400 Question from Chapter 3
Give the missing statement and
reason in the proof.
C
A 1
3
2
D
B
Statement
Reason
AB || CD
Given
1= 3
Corresp. ‘s
3 + 2 = 180
Linear Pair
_____________
____________
1 and 2 are supplem Def. of Supp.
$400 Answer from Chapter 3
1 + 2 = 180
Substitution
$500 Question from Chapter 3
What is the relationship between the lines
4
y = 5 x – 2 and the line passing through
(9, -1) and (4, 3)?
Parallel, perpendicular or neither?
$500 Answer from Chapter 3
Neither
The slope of the first line is 4/5 (m in y = mx + b)
The slope of the 2nd line is (3 – (-1))/(4 – 9) =
-4/5. A parallel line would have the same slope
(4/5). A perpendicular line would have a slope
that is the opposite reciprocal (-5/4)
$100 Question from Chapter 4
Which reason could be given for the statement
that VXY = WYX ?
V
Y
X
W
$100 Answer from Chapter 4
SAS
$200 Question from Chapter 4
Given AB = DE, BC = EF, what other
piece of information would need to
prove that triangles ABC and DEF are
congruent by SAS?
$200 Answer from Chapter 4
Angle B = Angle E
E
B
A
C D
F
Curves on those included
angles give SAS.
$300 Question from Chapter 4
Solve for x, y and z
xo
z
5
24o
12
yo
$300 Answer from Chapter 4
X = 66, y = 156, z = 13
Use the Pythagorean Theorem
for z.
$400 Question from Chapter 4
Find the measure of angle ABC
A
C
B
$400 Answer from Chapter 4
A
C
o
30
1
B
Angle 1 = 60, since it is in an equilateral triangle.
Angle ABC = 180 – 60 – 90 = 30.
$500 Question from Chapter 4
Give the missing statement and reason for the proof
of the converse of the base angles theorem.
B
A
D C
Statement
Reason
1. A = C
1. Given
2. BDA = 90 and
2. Given
BDC = 90
3. BDA = BDC
3. Transitive
4. BD = BD
4. Reflexive
5. ABD = CBD 5. AAS
6. _____________ 6. __________
7. ABC is isosceles 7. Def. of isosc.
$500 Answer from Chapter 4
AB = BC
CPCTC
In chapter 4, 2 kinds of proofs were done.
One type had us find 3 sets of = parts in 2
triangles, then had us pick from the list SSS,
SAS, AAS, ASA and HL to prove triangles
were congruent. Others go further and use
CPCTC to say that other pairs of parts much
match, now that the triangles are =.
$100 Question from Chapter 5
True or False? The centroid is the
point where the 3 angle bisectors of
a triangle cross.
$100 Answer from Chapter 5
FALSE
The angle bisectors cross at the incenter.
The medians are the segments that cross at
the centroid.
$200 Question from Chapter 5
AB is a midsegment of EFG. Find EF and
AB.
E
5
A
B
6
F
14
G
$200 Answer from Chapter 5
EF = 10 and AB = 7
Midsegments cut two sides of a triangle in half.
They are parallel to and half the length of the side
they do not intersect.
$300 Question from Chapter 5
The three medians of the triangle are
drawn. Find x.
x+4
x-7
$300 Answer from Chapter 5
18
Medians cut each other into parts that are
in a 2:1 ratio. The part from centroid to
vertex is twice as long as the part from the
centroid to the midpoint of a side.
2(x - 7) = x + 4
2x – 14 = x + 4
x = 18
$400 Question from Chapter 5
CF is an angle bisector in triangle
ABC. If angle ACF = 42o. Find
angle ACB.
$400 Answer from Chapter 5
o
84
A
F
42o
C
B
$500 Question from Chapter 5
What is the slope of the
perpendicular bisector of a
segment with endpoints on the
line 4x – 3y = 15?
$500 Answer from Chapter 5
-3/4
Lines that are perpendicular have slopes that are opposite
reciprocals. To find the slope of 4x – 3y = 15, solve for y.
-3y = 15 – 4x
y = -5 + (4/3)x.
The slope of the side of the triangle is 4/3. The slope of the
segment that is perpendicular is -3/4.