Jeopardy Chapter 1Chapter 2Chapter 3Chapter 4Chapter 5 Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q...

JeopardyChapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5

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$100 Question from Chapter 1Name the intersection of plane TSRAnd EG in the diagram below.

LS

T

R

E

G

F

$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.


Find the distance between

(-2, 3) and (1, -3).


3 5

(x2 – x1)^2 + (y2 – y1)^2

(1 – (-2))^2 + ((-3) – 3)^2

3^2 + (-6)^2

9 + 36 = 45 = 9(5) =


How many dots are in the next picture in the sequence?


192

3, (x 4) 12 , (x 4) = 48, (x 4) = 192


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.


Part + Part = Whole4x + 2 + 10x + 2 = 8x + 16x = 2 OS = 10(2) + 2 = 22

22


True or False? Angles ABD and DBC above are adjacent, acute and complementary.

A

B

D

C


True. They are adjacent (share a side witheach other) acute (each are less than 90),and complementary (have measures thatadd to 90).


Given “If it rains, we won’t go”, what worddescribes “If it doesn’t rain, then we willgo.


Inverse

The inverse leaves the hypothesis as the“if” and the conclusion as the “then”,but says the opposite of each.


Which property states that if AB = AC,Then AC = AB?


The symmetric property.

Other properties:Reflexive: everything is = to itselfSubstitution: if two things are =, one can be put in place of the other.Transitive: given 2 equations, “you can cut out the middle man”.


“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,


January, July, etc.

March, August, etc.

$500 Question from Chapter 2Classify the points R,S and E as

Collinear or Noncollinear

LS

T

R

E

G

F


Noncollinear


Which theorem tells us that the linesbelow are parallel?


Alternate exterior angles converse

The converses say IF the angles are= (or supplementary), THEN thelines are parallel.


Find angle 1 if the lines are parallel.

2x + 12o

22xo

1

$200 Answer from Chapter 3 26

2x + 12 + 22x = 18024x + 12 = 18024x = 168x = 7

2(7) + 12 = 14 + 12 = 26


12

What name is given to angles 1 and 2 in the diagram below?


Consecutive Interior Angles


Give the missing statement and reason in the proof.

A

B C

D

1

2 3

Statement ReasonAB || CD Given 1 = 3 Corresp. ‘s 3 + 2 = 180 Linear Pair_____________ ____________1 and 2 are supplem Def. of Supp.


1 + 2 = 180 Substitution

$500 Question from Chapter 3What is the relationship between the lines

y = x – 2 and the line passing through(9, -1) and (4, 3)? Parallel, perpendicular or neither?

45


NeitherThe 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 slopethat is the opposite reciprocal (-5/4)

$100 Question from Chapter 4Which reason could be given for the statement that VXY = WYX ?

YV

XW


SAS


Given AB = DE, BC = EF, what other piece of information would need to prove that triangles ABC and DEF arecongruent by SAS?


Angle B = Angle E

B

A C

E

DF

Curves on those includedangles give SAS.


Solve for x, y and z

yo

xo

24o

z5

12


X = 66, y = 156, z = 13

Use the Pythagorean Theoremfor z.


A

B

C

Find the measure of angle ABC


1

A

B

C

Angle 1 = 60, since it is in an equilateral triangle.Angle ABC = 180 – 60 – 90 = 30.

30o

$500 Question from Chapter 4Give the missing statement and reason for the proof of the converse of the base angles theorem.

A

B

CD

Statement Reason1.A = C 1. Given2.BDA = 90 and 2. Given BDC = 903.BDA = BDC 3. Transitive4.BD = BD 4. Reflexive5. ABD = CBD 5. AAS6._____________ 6. __________7. ABC is isosceles 7. Def. of isosc.


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 =.


True or False? The centroid is the point where the 3 angle bisectors ofa triangle cross.


FALSE

The angle bisectors cross at the incenter.The medians are the segments that cross at the centroid.


AB is a midsegment of EFG. Find EF and AB.

A B

E

F G

6

14

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 sidethey do not intersect.


The three medians of the triangle are drawn. Find x.

x - 7

x + 4


2(x - 7) = x + 42x – 14 = x + 4x = 18

18Medians 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.


CF is an angle bisector in triangleABC. If angle ACF = 42o. Find angle ACB.


84o

A

B

F

C

42o


What is the slope of the perpendicular bisector of a segment with endpoints on the line 4x – 3y = 15?


-3/4Lines 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.

Jeopardy Chapter 1Chapter 2Chapter 3Chapter 4Chapter 5 Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q...

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