Geometry Questions

Given Set A 2 7 11 Set B 2 9 10 11 What is An B 2 9 10 11 O 2 7 9 10 11 9 10 2 11

Given Set A 5 7 10 Set B 2 5 6 12 What is the intersection of sets A and B 2 5 6 7 10 12 2 6 12 5 6 7 10 12 5

Given Set A Set B 4 12 3 4 10 12 3 4 10 10 3 10 4 10 12 What is the union of sets A and B

Given Set A Set B 3 4 8 11 4 6 7 8 9 What is the union of sets A and B 4 8 6 7 9 3 4 6 7 8 9 11

Given Set A Set B 1 2 6 1 3 11 12 What is An B 1 1 2 3 6 11 12 3 11 12

Given Set A 1 3 5 7 9 12 Set B 1 3 4 6 8 What is the intersection of sets A and B O 1 3 4 5 6 7 9 O 1 3 1 3 4 5 6 7 8 9 12 5 7 9 12

Given Set A Set B 2 3 8 10 12 4 7 8 9 11 What is the intersection of sets A and B O 2 3 4 7 8 11 12 O 2 3 4 7 8 9 10 11 12 2 3 10 12 8

Given Set A 1 2 3 8 12 Set B 3 5 7 10 12 What is the union of sets A and B O 3 12 1 2 8 1 2 3 5 7 8 10 12 O 1 3 5 7 8 10 12

Given Set A 1 2 6 7 8 12 Set B 3 4 5 10 11 12 What is An B 12 2 5 6 7 8 10 11 12 O 1 2 3 4 5 6 7 8 10 11 12 0126 7 8

of Parallel Lines Lines and 2 are parallel lines Determine the me through 12

If sin 0 a cos 0 b tan 0 c sec 0 2 and is in quadrant II then find 3 V d csc 0 e cot 0

In circle Q the length of RS 7 and m ZRQS 40 Find the area shaded below Express your answer as a fraction times T S R Q

SP is a radius of the circle Find and y T 3x 14 A 2y 39 S R 2x 14 B 2y 34 P

2 In circle O the length of PQ ZPOQ 20 Find the area shaded below Express your answer as a fraction times Q and m P

In circle V VW 5 6 WX T Find the area shaded below Express your answer as a fraction times 7 X W 3 and the length of V

Pole Road 15 A straight inclined road makes an angle of 15 with the horizontal A vertical pole at the side of the road casts a shadow a feet long directly down the road From the point where the shadow ends the angle of elevation of the sun from the horizontalis 57 roximate the length of the pole in ft if a 175

which condition would DEF is congruent to JKL 12 prove G E 8 A EF KL 1 5 1 B DE JK 1 1 5 OC DF JL 1 5 1 D DF JL 1 15 L F

Find the distance between the two points Round your answer to the nearest tenth 10 A 3 0 B 2 0 12 A 3 3 B 3 3 14 A 2 5 3 5 B 4 0 5 16 A 10 5 B 9 14 18 A 3 14 B 3 2 11 A 0 3 B 6 0 13 A 2 6 B 2 1 15 A 11 2 B 3 11 17 A 7 4 B 1 61 19 A 4 1 B 4 1 1

Complete this proof Given ABCD 21 22 Prove ABCD is a rhombus 17 Proof 1 Statements 2 LABC LADC 3 ACAC 4 5 AB AD CD CB 6 7 AB CB CD AD 1 2 D 8 2 Reasons C B 3 4 AAS Postulate P 17 5 6 The opposite sides of aare T 32 C 7

In circle T the length of UV ZUTV 11 9 110 Find the area shaded V below Express your answer as a fraction times T T and m U

80 S STRUCTURE Solve AJKM and ALI K ft M 21 ft ft JK ft m JKM C

udent SRI College Career Fo VING In order to unload clay hat is 14 feet long has been

Write an equation for the following conic If it is a parabola it has a vertex at the origin and if it is an ellipse or a hyperbola it is centered at the origin vertex at 3 0 and e 5 What is the shape of this conic A a hyperbola B a parabola C an ellipse KEER What is the equation for this conic x 9 Type an equation in standard form using x and y as the variables Use integers or simplified fractions for any numbers in the equation

holastic Student 15 17 V 8 U SRI College Career sin 1 8 15 m T Fossil Life An Intro PA cosine ratio should be used because it is the ratio sine ratio should be the length of the adjacent sid cosine ratio should be used because it is the ratid

In circle V VW shaded sector X 8 and the area of 167 Find the length of WY X Express your answer as a fraction times T W V Y

Solve the right triangle Round K 8 A 40 M L CO

10 07 SWBAT solve for missing 1 In the circle shown LL 8x 40 m2M 12y 24 meN x 50 and m20 6y YOU DO ROUND 1 a Determine x and y b Determine mLMN M id How do you know

QUESTION 10 Solve the problem A wire is fastened to a point T on a tree and to point ground The angle that the wire makes with level gro the wire is fastened to the tree Round to the nearest T

C Congruent d Supplementary 6 In the circle above mzQ 3x mzU 2x 12 mLA 2x and m2D 2y Determine a mQDA U A

7 Find the component of u along v Use the formula 3 2 v 4 1 U V V 5 points

What is the image point of 0 1 after the transformation D50 R270

4 In the diagram below what is mA 132 A B O D 82

In circle S with m RST 102 and RS 6 units find the length of arc RT Round to the nearest hundredth 2 R S 1 T

3 In the diagram below what is mEDG DK86 G E F

What is the image point of 5 8 after the transformation T 4 40 D5

Dakota is packing a lunch to bring to school There are 4 types of sandwiches to choose from and 7 types of fruit For the drink Dakota has 2 options How many different lunches can Dakota pack

2 In the circle shown determine the a mFGH b mFAH G 21 x 2 F 38x 5 A

You spin the spinner once 6 5 3 4 What is P prime Write your answer as a percentage

In circle N with m MNP 90 and MN 12 units find area of sector MNP Round to the nearest hundredth N M P

10 Graph y 2 3 from Ol y 20 0 15 10 5 0 5

In circle G with m FGH 60 and FG 19 units find the length of arc FH Round to the nearest hundredth H G F

1 3 Puzzle Time Why Did The Fraction Jump Into Boil Write the letter of each answer in the box containing the exercis The endpoints of AB are given Find the coordinates of the midpoint M 1 A 1 3 B 7 1 2 4 4 B 3 4 3 A 4 6 2 2 B 2 4 2 4 4 7 10 B 5 8 46 15 10 3 2010 16 15 10 B 1515

Explain when you can use a trigonometric rati Pythagorean Theorem You can use a trigonometric ratio to find as

STION 5 rmine whether the tests for symm e polar axis Replace r 0 by r T e line 0 Replace r e by r T he pole Replace r 0 by r 0

Clara s father has a large collection of ties The table shows how many ties he has of each color and pattern plaid blue 6 2 purple 16 green 3 If Clara s father chose a tie at random what is the probability that the tie would be plaid Write your answer as a fraction or whole number P plaid

Kendall is decorating her bedroom There are 5 shades of paint and 7 styles of furniture to choose from How many different ways can Kendall customize her dorm room ways

QUESTION 25 Solve the triangles for the unknown sides an necessary B 28 1 C 45 a 2 3 OA 48 7 b 19 3 c 6 9

STION 8 n the point in polar coordinates find tw 2 4

QUESTION 18 Graph the polar equation r 4cos 0 442 11 12

Part B Since PQRS is a parallelogram SQ and PR bisect each other Use the coordinates to verify that SQ and PR bisect each other Enter your justification in the box provided