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I Geometry Review Jeopardyilt S,,;;;ester Ch;5: Ang!e I' Ch.5: ." en, 7: Radicals, ";:''"'r Review

_bisectors,~.Properti'es of

Pythag.Thm.• Ch.7:

,Questionsmedians,

triangles Special Trigonometryattitudes Triangles

100 100 100 100 100

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200 200 200 200 200

'1300 300 300 300 300

400 400 400 400 400

1500 500 500 500 500

1st Semester Review: 200 points

Find y if B is between A and C, AB is 2y, BC is 6y,and AC is 48. Draw the line segment.

IANSWER: y=6

I I •l

1st Semester Review: 400 points

P(13x + l~T

C "RRC and RD are opposite rays.R(Q bisects LWRV.

1)IIFind y if mLWRQ= 48and mLQRV= 7y+ 6.2) What is the mLWRV?

ANSWER: y=6, mLWRV=96°

oV

3/28/2012

1st Semester Review: 100 points

Find the length of PQ.

1--3S.3cm--1. ..P Q12.6cm R

ANSWER: 25.7

1st Semester Review: 300 points

The vertices of a triangle are located at P(O, 0),0(8, 6), and R(-3, 4).What is the perimeter of this triangle?Round to the nearest hundredth.

ANSWER: 26.18

1st Semester Review: 500 points

If J..ABC is an isosceles triangle, LB is the vertexangle, AB = 6x + 3, BC = 8x - 1, and AC = 10x -10, find x and the measures of each side of thetriangle.

ANSWER: x=2, AB=AC=15, AC=19

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I(th. 5: Angle bisectors, medians, altitudes: 100 points

t Find x and the measure of angle ~£I COE. '2) Ray OF is called a ~

,~'" (4x+ 30)'

DF bisects LCDE.

ANSWER: x=7.5, Angle bisector

Ch. 5: Angle bisectors, medians, altitudes: 300 points

Find the value of x and v:

/;:yo 3x"~gY-4t:,.CDF is equilateral.

ANSWER: x=10, y=2

J5, Angl. """,0". medians, altitudes. 500 points1) Find x, y, and z.2) TP. MS, and RN

are called

R~~--~p~~--~S

V is the centroid of t:,.RST:TP = is: !i1S = 15:RN = 24

ANSWER: (1) x=6, y=5, z=8 (2) Medians

3/28/2012

Ch. 5: Angle bisectors, medians, altitudes: 200 points

l)Find x and v:3) Segment EH is a _

3. E 9x _ 2

F~G

EH=FH=HG

ANSWER: x=3, y=5, Median

Ch. 5: Angle bisectors, medians, altitudes: 400 points

a,b,and c are perpendicular bisectors of triangleRPQ. Find x, V,and z.

p

ANSWER: x=l, y=6, z=2

Properties of triangles: 100 points

List the angles in order from least to greatest:

B

3~

A 4.0 C

ANSWER: C, B, A

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Properties of triangles: 200 points

qetermine whether it is possible to draw at~iangle with sides of the given measures.'trite yes or no and explain why!

23, 16, 7

ANSWER: No!

Properties of triangles: 400 points

Find the measures of angle 1 and angle 2.

i6~ \

\~\;0'\

ANSWER: 1= 100° ,2=40°

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Irdicals, Pythag. Thm, Special Triangles: 100 points

I Solvefor x:

~~S 15 T

ANSWER: 8

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3/28/2012

Properties of triangles: 300 points

Determine the relationship between the lengthsof the given sides.

Be and DB.

.4ANSWER: BC>DB

Properties of triangles: 500 points

Find all missing angles.

ANSWER: 1=40°,2=45°,3=135°,4=73°,5=70°,6=30°

Radicals, Pythag. Thm, Special Trialges: 200 points

Solve for x:

K~60·

~ x 30. J

ANSWER: x=10

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jadicalS & Pythag. Thm., Special Triangles: 300 points

~eterminewhether each set of measuresII can be the measures of the sides of a

right triangle.0) 5,12,14

b) 65,72,97

ANSWER: a) no b) yes

Radicals & Pythag. Thm.: 500 points

The length of the diagonal of a square is 20 inches.Find the perimeter of the square.

(leave answer as a simplified radical)

ANSWER: perimeter- 40"'2

II -II

~ Trigonometry: 200 points

Fihd x and y using a trigonometric ratio. Round to thenearest tenth..:

5 &plY

IANSWER: x=6.0, y=7.8 .,

3/28/2012

Radicals & Pythag. Thm., Special Triangles: 400 points

The perimeter of an equilateral triangle is 18centimeters. Find the length of an altitude of the

triangle.(leave answer as simplified radical)

ANSWER: 3"'3

Trigonometry: 100 points

Find: sin D, cas D, and tan D.

~:o 12 F

ANSWER: sin 0= 5/13,cos 0=12/13, tan 0=5/12

Trigonometry: 300 points

Find the value of angle x and angle y. Round to thenearest degree.

ANSWER: x= 18°, y=72°

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Trigonometry: 400 points

Fljnd the angle of elevation of the sun when a 22-meter-talltelephone pole casts a 17-meter-long shadow. Round tothe nearest tenth of a degree.

ANSWER: 52.3°

3/28/2012

Trigonometry: 500 points

A ski run is 2000 yards long with a vertical drop of142 yards. Find the angle of depression from thetop of the ski run to the bottom. Round youranswer to the nearest degree.

ANSWER: 4°

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