Area Questions and Answers

5 For each scenario below determine whether you would find the surface area or the volume a Determine the amount of water in a fishtank Surface Area b Determine how many cans of paint would be needed to paint a room Surface Area Volume Surface Area c Determine the amount of cloth needed for a protective cover for a car d Determine which box has more cereal Volume Volume

1 The sphere below needs to be painted How many square meters of paint are needed 9m

12 Find the value of a OA 16 OB 4 OC 10 OD 12 6

Find the area of the sector 270 7 in 15 61

Find the area of quadrilateral DEFG D E G 8 cm 16 cm 18 cm 10 cm F los

A 58 B The measure of arc BC is C D E In the figure segment AB and segment AC are tangent to circle D Determine the measure of arc BC degrees

Question 6 A triangle ABC is dilated about the origin The dilated triangle A B C is shown below Find the scale factor k C 0 8 A 8 8 Points 2 A 4 4 k 1 2 Ok 1 Ok 2 0 4 B 4 4 B 8 8

Lesson Posttest Question 10 The vertices of a square are A 1 1 B 1 8 C 8 8 and D 8 1 and it is dilated with the center of dilation at the origin and a scale factor of 2 Find the coordinates of B Points 1 O 0 5 4 O 2 16 O 16 2 O 4 0 5

Question 4 Points 2 What is the fourth step in construction of perpendicular bisector of the line segment AB Draw a line segment using the ruler Label it AB Draw a line from X to Y The line XY is the perpendicular bisector of the line segment AB Without changing the compass setting place the pointed end of the compass on B Draw arcs above and below the line segment to cut the first two arcs Mark the points where these arcs meet Call them X and Y Place the pointed end of the compass on A and draw arcs above and below the line segment

Question 9 In the given parallelogram find the value of x and y 2 Points 3 6 2x y 3y 2x Ox 1 5 and y 1 5 O x 1 5 and y 1 O x 1 and y 1 5 O x 1 and y 1

Lesson Posttest Question 3 Points 2 In the parallelogram ABCD AO x 48 and OC 2x 24 Find the lengths of AO and OC D A AO OC 72 cm O AO OC 12 cm O AO OC 48 cm AO OC 60 cm B

21 Jonidas What s the surface area of the figure below ides olil od 1990s of yod of abs 20 10 3 3 4 3 4 5

4 What s the surface area of the figure below lliw 15789 20iggin 10 yd 16 yd 1 r 19 yd

Lesson Posttest Question 4 Points 2 Find the measures of angle x and y P 105 Q 110 O80 and 110 O 105 and 110 O 75 and 70 100 and 105

Question 6 Points 2 Find the measure of ZX in the triangle XYZ Y 65 OLX 90 OLX 50 OLX 70 OLX 20 Z

Question 2 In A LMN find the measure of M M X O 35 O 34 67 Points 2 O69 34 76 2x

Question 1 The measures of the angles of a triangle are in the ratio of 2 3 5 Find the measure of the smallest angle O 36 O 30 O24 Points 3 O 18

Question 7 Find the measure of the sides PQ BC and missing angles ZA and ZP in the congruent triangles B 10 46 A Points 3 46 C Q 15 O A P 88 PQ 10 BC 15 OLA P 85 PQ 19 BC 15 OLA P 84 PQ 10 BC 17 OLA P 88 PQ 19 BC 17 R

If the point X is translated 6 units left and then 5 units up what will be the coordinates of X 4 2 O 2 2 O 2 3 O 2 2 O 2 3 4 2 0 2 2 4 Y 2 4 XY

son Posttest Question 1 The point A 10 5 is translated 3 units left and then rotated about an origin in a direction through 360 It is then reflected across the x axis Identify the coordinates of the vertices of the transformed point O A 7 5 O A 7 5 O A 7 5 Points 3 O A 7 5

2 18 PM Sun May 21 CradeResults B 8 7 6 5 A O O C B 8 C 45 D 8 7 6 5 4 3 2 19 2 3 l a 4 5 6 7 8 1 8 7 6 5 B 3 2 3 4 4 K 2 5 6 7 8 6765432 0 8 Y 7 B 3 3 2 1 2 888 My Activities B 1 2 3 Y 12 C Ims graderesults com D 678 2 3 4 5 6 7 8 Tell me what you want to X 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 D X

A parabola can be drawn given a focus of 5 6 and a directrix of y 6 Write t equation of the parabola in any form

7 tan Z X 15 17 Y 8 Z

Write a quadratic function to represent a parabola with roots of 5 and 7 that passes through the point 3 128 f x DELF

W V Y ZI X Find the volume of the composite figure above if v 11 w 12 x 11 y 10 z 7 Round your answer to the nearest whole numb

Name the type of symmetry for the figure O A reflection OB rotational C reflectional and rotational D no symmetry

Solve the proportion 3y 8 12 215 OD 40 3 y OA 10 OB 7 OC 3 40

Find the slant height of the cone to the nearest whole numbe 19 m 10 m Not drawn to scale OA 21 m OB 19 m C 22 m OD 24 m

Find the values of a and b The diagram is not to scal 36 113 A a 144 b 67 B a 144 b 36 OC a 113 b 67 OD a 113 b 36

Find the values of x and y 7x 7 112 Drawing not to scale OA x 15 y 17 OB x 112 y 68 OC x 68 y 112 OP x 17 y 15

Find the measure of BAC The figure is not drawn to scale OA 68 OB 22 OC 136 OD 34 by B O 68

The circles are congruent What can you conclude from the diagram B D A D E OA none of these OB arc DF arc AC C arc AB arc DE D arc CAB arc FDE R

Line segment AB is tangent to circle O at B Find the length of the radius r for AB 5 and A0 8 6 Round to the nearest tenth if necessary The diagram is not to scale B A OA 9 9 668 OB 7 OC 13 D 3 6

Find the volume of the sphere OA 506 59 cm3 OB 5572 45 cm3 C 126 65 cm3 OD 1393 11 cm3 11 cm

1 Find the volume of the given prism Round to the nearest tenth if necessary 17 m 2 m 1 m OA 17 m OB 34 m3 8 5 m3 3

Find the volume of the pyramid below OA 1088 OB 2400 OC 7200 OD 1360 8 17

Find the volume of the prism 13 in OA 39 in OB 2184 in OC 672 in 3 OD 156 in 3 12 in 14 in

CClever Portal Classes DIRECTIONS Use this information to answer Parts A The triangles show the paths in a town s public square 2 x 1 8 Part A 96 4x 3 22 6x 10 Show Hints 85 8 Write an inequality for the possible values of x Enter the correct inequality in the box

Use a formula to find the surface area of the figur 30 yd 20 yd OA 1 800 yd2 OB 2 700 yd2 bc 2 750 yd2 QD 2 600 yd2 25 yd 15 yd 20 yd

5 Use 3 14 to estimate the area of the circle Round your answer to the nearest hundredth if necessary 24 4 m OA 76 62 m OB 467 36 m C 1869 43 m OD 38 31 m

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

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

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

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

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