Geometry Questions

Find to the nearest tenth the area of the region that is inside the square and outside the circle The circle has diameter 14 inches OA 42 1 in OB 10 5 in OC 153 9 in D 196 in 2

The trapezoids below are similar Find the perimeter of the larger trapezoid if the perimeter of the smaller trapezoid is 20 cm 6 OA 20cm OB 30cm OC 15cm OD 25cm 9

The trapezoids below are similar Find the area of the smaller trapezoid if the area of the larger trapezoid is 45 cm 6 OA 30cm B 25cm2 0915cm D 20cm2 9

1 If the similarity ratio of two similar figures is then the ratio of their areas is a b OA 1220 B C SOD LINEQ 0 o o e mo mo Lole

Find the area of the triangle 30 OA 8 in 7 in 1 in OB 4 in 2 OC 3 5 in2 OD 1 75 in 2

Find the area of the triangle Round your answer to two decimal places 6 cm B D 80 2 cm 11 82 cm 2 08 cm 5 91 cm 1 04 cm 2

Find the area of the triangle Give the answer to the nearest tenth The drawing may not be to scale 9 cm 15 cm 70 OA 23 1 cm B 63 4 cm OC 185 5 cm OD 126 9 cm

If the similarity ratio of two similar figures is then the ratio of their perimeters is OA b

1 PART 1 Point A In radians what is Point B In radians what is Point C Point B is at 300 Point D is at 45 In radians what is Point A In radians what is Point D Point D In radians what is Point E Point C Point B

Use the Hinge Theorem and its converse to describe the restrictions on the value of the variable 12 18 126 12 26 3x 2 18 Enter the correct inequality in the box Show Hints X

83 10A Several three dimensional figures are shown B Cube C Cylinder D Pyramid If each of the three dimensional figures are cut parallel to the base which figures have a circular cross sections Select TWO correct answers A Cone E Square pyramid ADIAN Cylinder Triangular prism Cone Cube Square Triangular Prism

Question 4 4 9v SUBMIT BOOKMARK X a inches G A pizza with a diameter of 12 inches is cut into 8 slices Write your answers in terms of pi as needed inches in 101 What is the circumference of the pizza What is the area of the pizza inf What would the central angle for 3 slices be if it was in degrees degrees What would the central angle for 3 slices be if it was in radians Write your answer as a fraction in terms of pi What would the arc length of 3 slices be What would the sector area of 3 slices be radian

2 The circle below represents Earth The radius of the Earth is about 6400 km Find the distance d that a person can see on a clear day from each of the following heights habove Earth Round your answer to the nearest tenth of a kilometer For full credit show your work a 12 km b 20 km c 1300 km A

4 For problems a e use the diagram below K G 54 72 H a Which arc does ZKGJ intercept b Which angle intercepts GHJ c What is mZH d What is mJH e What is mZGJH f Which angles are supplementary

3 Write the equation of a circle in standard form with diameter AB Where A 7 5 and B 1 1 For full credit show your work Hint You need to find the midpoint of the diameter This is the center of the circle Then you need to find the distance between the midpoint and one of the endpoints This is the length of the radius Midpoint x x 2 2 Distance x x

1 A classmate insists that the value of x is 10 Write an equation to show that your classmate is wrong and solve for x 5 12

5 Below is an ice cream cone and a scoop of ice cream The volume of the cone is What is the combined volume of the cone and scoop of ice cream 4cm 5 cm 4 cm

6 Given the volume of the figure determine the measure of the radius Volumo 26 m3

your answer to the nearest tenth b You find another soccer ball at the street with a radius of 16 Which soccer ball has the greatest volume Explain using mathematical evidence

4 Determine the volume of the sphere below Round to the nearest hundredth 12 yd

YOU DO ROUND 1 1 Determine the volume of the figure below to the nearest tenth 5

3 A globe of the Moon has a radius of 10 inches Find the volume of the globe Round to the nearest whole number

Yusef is purchasing a pi ata for his sister s birthday party He wants to buy the pi ata that can hold the most items so she can fill it up with lots of goodies Below are the shapes of the two pi atas he is considering buying Which one should Yusef purchase Why 13 in 7 in 16 in

2 Determine the vertical and horizontal cross sections of the figure below then name it using the best name Vertical cross section Horizontal cross section

1 A rectangular pyramid has a base with an area of 18 in If the altitude of the pyramid is 14 in what is the volume of the pyramid 3 a 18 in b 84 in 42 in C d 252 in 3

Make a table to determine the sample space for the sum of rolling 2 dice Die 2 SUM 1 2 3 4 5 6 1 2 1 What is the size of the sample space 2 How many ways can you roll a 5 3 What is the probability of rolling a 5 3 Die 1 4 5 6

There are two triangles for which A 30 a 7 and b 10 The larger one has c and the smaller one has c Note You can earn partial credit on this problem

12 You have been hired to design a box rectangular prism with a volume of 24 m The height of the box must be 2 m a Create a table like the one below and fill in the blanks Use whole numbers for dimen sions 6 marks Length m 1 2 3 4 6 12 Width m Height m 2 2 2 2 2 2 Volume m 24 24 24 24 24 24 Surface Area m

3 Solve for x rounded to one decimal place 2 marks cos 59 36 Copyright 2019 The Ontario Educational Communications Authority All rights reserved

5 If tan C 0 6687 find angle C rounded to the nearest degree Angle C is between 0 and 180 3 marks

1 Convert each measure 4 marks a 8 ft 6 in to the nearest centimeter b 300 g to the nearest ounce

2 The equation x 6x y2 6y 9 0 is an equation of a circle in expanded form Complete the square to find the center and radius and then write the equation of the circle in standard form To earn full credit you must show your work a center b radius c Equation

For problems 1 3 refer to the diagram below A 100 2 R N S 12 Answer X 8 4 y Q 80 What is the value of x

Which is the equation of a circle with diameter AB where A 5 4 and B 1 4 Select one O a x 2 2 y 25 O b x 2 2 y 5 O c x 5 2 y 4 100 O d x 5 2 y 4 10

Which of the following is the graph of x 2 y 1 9 Select one O a O b C O d 4 O y y ty 2 20 ty O 2 x X X x X

In the figure below what is the value of z 7 5 Z 4 Select one O a 6 O b 5 6 O c 2 9 O d 8 75

What is the value of the variable If the answer is not a whole number round to the nearest tenth a x 100 X 100 50 b 9 x 9 4 36 x 6 X 4

2 Find each indicated measure for OM U 36 T a mZs Q O b mTS c mQU d m TMS M R S 102

1 Find each indicated measure for OM D a mEF b m ZE 55 c mZF d mDF 96 M E F

If mAB 38 and mZCED 102 find mCD A C 38 Select one O a O b 102 O c 70 O d 140 E 102 LLI 166 B D

1 A circle is inscribed in a quadrilateral whose four angles have measures 86 78 99 and 97 Find the measures of the four arcs between consecutive points of tangency

Find m ZB if mAB 120 and m ZA 42 A 120 42 Select one O a 60 O b 78 O c 18 O d 156 C B

A circle with center 1 2 passes through 2 2 Which is true Select one O a The radius is 5 O b The equation is x 1 2 y 2 10 O c The diameter is 10 Od The circumference is 25m

Write the standard equation of the circle in the graph ty 2 1 O b O c O d 4 1 Select one O a x 2 2 y 1 2 x 2 2 y 1 4 x 2 2 y 1 2 x 2 y 1 4 X

Name Line Line Segment Ray May 18 8 44 19 PM Name the figure below in two different ways Symbol and

What is the center of the circle 2x 2y 32 12x 14y Write your answer in simplified rationalized form

8 A glass containing water is in the shape of a circular cylinder with a radius of 3 centimeters The height of the water in the glass is 10 cm What is the volume of the water in the glass SHOW ALL WORK V Bh T h 713 10 262 74 cm 10 Five spherical marbles of equal size are dropped into the glass The water in the glass rises to a height of 11 centimeters What is the increase in the volume of the contents of the glass Be sure to include units of measure in your answer Show all of your work and briefly explain how you found your answer

Write the standard equation of the circle in the graph op Select one O a O b Oc O d the O x 3 2 y 2 9 x 3 2 y 2 18 x 3 y 2 18 x 3 2 y 2 9 60 d

Which of the following statements is false Select one O a Every diameter is a chord b Every chord is a diameter O c Every diameter is part of a secant O d Every chord is part of a secant

OA is inscribed in a quadrilateral What is the perimeter of the quadrilateral 3 mm 7 5 mm A 2 5 mm Select one O a 150 mm O b 25 mm O c 50 mm O d 60 mm 12 mm