Geometry Questions

Major arc JL measures 300 300 M K Which describes triangle JLM Oright obtuse O scalene O equilateral

F Calculate the perimeter of the above triangle 30 units 34 units 60 units 45 units Previous Page H Next Page

What is the equation of the line that is parallel to line y 3x 8 and passe through the point 2 9 Oy 1 3x 2 30 Oy 3x 11 Oy 3x 3 Oy x 53 29

Rectangle JUST has coordinates J 1 15 U 8 15 S 8 9 T 1 9 What is the perimete of rectangle JUST

What is the perimeter of kite OBDE O 12 units O 22 units 38 units O 58 units A 24 C 10 E 6 B

Given ZAOB is a central angle and ZACB is a circumscribed angle Prove AACO ABCO C A B O We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O We see that AO BO because We also know that AC C since Using the reflexive property we see that Therefore we conclude that AACO is congruent to ABCO by the

Convert the equation from Standard to General form x 5 2 y 3 36 Ox y 10x 6y 2 0 Ox y 10x 6y 36 0 Ox y r2 10x 6y 72 0 Ox y 10x 6y 34 0

O x 2 y 2 25 O x 2 y 2 25 x 2 y 2 5 21 5 4 6 8

What are the coordinates of the center of the circle represented by the equation x 3 y 4 25 3 4 3 4 3 4 3 4

What is the standard circle equation from the general circle equation x 8x 144 12y O x 4 y 6 196 O x 4 y 6 2 196 O x 4 y 6 144 O x 4 y 6 144

Find the center and radius of the circle with the given equation x 5 y 9 16 5 9 16 5 9 4 5 9 16 5 9 4 Question 14 1 point Write the equation of the circle centered at 2 1 and tangent to y 1 O x 2 y 1 4 x 2 y 1 1 O x 2 y 1 4 x 2 y 1 2 CXR

To prove the circles are similar which sequence of transformations will map circle A with center 3 8 and radius 6 to circle M with center 1 4 and radius 2 Translate 4 4 then dilate by scale factor of 3 Translate 4 4 then dilate by scale factor of 1 2 Translate 4 4 then dilate by scale factor of 1 3 Translate 4 4 then dilate by scale factor of 2

What is the radius of circle 2 2 x 8y y 2x 8 5

What is the center of the circle with the equation 12 y 6y 4x x 2 3 6 4 2 3 6 4

C 220 O B What is the measure of angle OAC if major arc AB measures 220 degrees O 55 O 70 O 110 O 140

H UN NO K M 1319 J L Which statements are true Check all that apply The circumscribed angle L has a measure of 49 O The circumscribed angle L has a measure of 65 5 If the measure of arc HJ is 98 the measure of angle HMJ is 98 If the measure of arc HJ is 98 the measure of angle HKJ is 98 If the measure of arc HJ is 98 the measure of arc HK is 131

B C A 109 F LL E Use the diagram to complete the statements The measure of minor arc EF is The measure of angle DAB is

c Fewer classmates have chores than don t have chores Do Not Have Chores 8 Fiona interviewed her 30 classmates on whether or not they have a sibling and if they have assigned chores at home She displayed her results in the table shown Which statement is true A More than half of her classmates are only children B More only children do not have chores than those with a sibling D Half of her classmates have a sibling and half do not 9 6

Show all work for each question 17 Given the graph Height 1 2 3 4 5 6 23 4 6 Age versus Height Age 7 a Describe any trends you see 2 marks

11 When graphing one variable data is the frequency the dependent or the independent variable 1 mark

3 Write a proportion you could use to find the value of a 3 Ex 1 2 9 1 a

of the right triangle shown at the right 4 2 Ex 20 42 ype a response Show Your Work

9 In circle Z If RS 18 and mTY 42 find each measure TV TU WS MYU 9 TV 9 TU 18 WS 9 arc YU 42 arc RS 85

DC 0 In circle I if BG 17 and mCHA 256 10 find each measure MIN B F E H BC FB mAB mBC mEC

Uses circular corkboards to make 18 watermelon coasters to sell at a craft fair 31 He paints one side of each coaster with special paint Each jar of paint covers 200 in Will one jar of paint be enough to paint all the coasters 32 He puts decorative tape around the edge of each coaster How much tape does he need for each coaster 8 in 72

5 29 What is the area of the segment 10ft Q M N 30 T 5m A B 144 30 Round to two decimal places

33 Error Analysis Luke was asked to compute the length of AB What is Luke s error S 1 5 radians A n 360 1 5 360 2Ttr 2 3 3 B

4 27 What is the area of the sector A 3 165 F B 28 H G 59 10 T

8x 12 E B D C 10x 22 13 14 15 16 X MAD mCD mBDC

25 What is the length of AD Express the answer in terms of B A C 43 73 104 P D 26 Use OQ Express answers in terms of What is the length of JK radians H Q LO 3 4 Tradians K

Directions Find each angle and arc measures 1 M 21 N K L 5 2 3 4 1 mJK mZJNM mKL mJKM mMKL 2 72 W S T 87 X V U 7 6 m UXV mST mWV mTW mTVW 8 9 10

Find x 76 N X 6x 20 Y Type a response If MP 5x 34 and PN 2x 4 find MP K M 3 GN

Directions Find each value or measure 11 U R 15x 26 T S 26 X 12 18x 2 E D 15 H G F 103 X

Degrees Radians Radians Degrees Directions Convert each measure to radians 17 30 18 20 5 150 Directions Convert each measure to degrees 4T 21 3 5A 36 19 220 7A 22 4 N

3 Find XY 9x 34 V W X 4x 1 Find mRS R J Q 11x 72 5r 6

If DE 11x 15 and FG 32x 27 find DE D H E G 8 Find mMP 8 9x 43 N M 5r 33 P

f x 10 7 subtract 9 take reciprocal multiply by 2 subtract 9 take reciprocal multiply by 2 subtract 9

Find the measures of the missing angles in the trapezoid 1 99 2 51 A Find the measures of the missing angles in the trapezoid 99 2

Find a polynomial for the volume of the following solid The polynomial for the volume of the solid is Simplify your answer Do not factor x 4 m x m 9m 10 m x m 11 m

M 2 B AD AB CD CB tangent to circle 0 Suppose that NP BD are not parallel Prove that QM NP BP are concurrent H

Use transformations of f x x to graph the following function h x x 4 6 Use the graphing tool to graph the function Click to enlarge graph 10 6 4 2 10 8 6 4 NO 2 4

8 Graph the transform function on the same graph as its parent function a f x x 3 2 b f x 2x 31 5 10 104

Use transformations of the standard cubic function f x x to graph the function h x 5x Use the graphing tool to graph the function Click to enlarge graph For any answer boxes shown with the grapher type an exact answer 0 8 6 4 2 10 8 6 4 2 2 Ay 4 6 8 0 8 10 A

Establish the identity cos 8 tan 8 cot 8 csc 8 Write the left side in terms of sine and cosine cos B Simplify the expression inside the parentheses from the previous step and write the result in terms of sine and cosim cos 8 Simplify the expression from the previous step and write the result in terms of sin 8 The fraction from the previous step then simplifies to csc 8 using what OA Pythagorean Identity OB Cancellation Property OC Even Odd Identity OD Quotient Identity al Identit

A sphere with a radius of 2 5 feet

4 Imagine that the Consumer Price Index for Canada in 2020 was 102 6 Assume a base year was established in 2006 a What can you conclude about prices in Canada in 2020 1 mark b If a set of tires cost 440 in 2006 how much would the same set of tires cost approximately in 2020 2 marks

Type the correct answer in the box A printer creates a right triangular card where the hypotenuse h is three times as long as the shorter leg What is the length of the longer leg I in terms of h Write the answer in simplest form by replacing a b and c with the correct values 1 0 101 Vo 4 a bh X S 2 TE a e 9 sin cos tan sin cos tan AP CSc sec cot log log In 11 0 L ZAN U 0 00

PLE 3 For each quadratic function find the axis of symmetry of its graph 10 y 3x 18x 1 9 y x 4x 7 11 y 2x 3x 4 12 y 3x x 5

Find the axis of symmetry of each parabola 6 7 9 2 4 2 8

3 A test has a maximum possible score of 200 The results achieved by a class of 20 students are listed 168 152 112 88 95 123 177 166 145 104 112 156 110 141 177 166 134 190 111 and 120 Calculate the percentile rank of a score of 141 to the nearest percentile 4 marks