7 th Extended Third Quarter Review Standards: 7.5, 7.8, 8.6, 8.7, 8.8, 8.9, 8.10, 8.11

8.9 A three-dimensional figure was constructed using identical cubes. The top-, front-, and left-side views of this figure are shown. Which could be this figure? Front Top Left Side 2 D C A B

C

7.5b

D 272 sq in.

8.9

7.8 Identify the coordinates of A’ after the image of triangle ABC is reflected over the y-axis. 8 A (-7,3) B (-7,-2) C (-1,-2) A C B

Two angles are vertical angles. The measure of one angle is 55°. What is the measure of the other angle? F 45° G 55° H 125° J 305° 8.6a

G 55°

7.5a

8.10b An observer is watching a bird from the ground as shown. What is the bird’s distance from the ground, in miles, as shown in the diagram? Round the distance to the nearest tenth miles 1.9 miles ? Observer

miles

A container in the shape of a cube will be completely filled with sand. The container has an edge length of 8 inches. What is the exact number of cubic inches of sand needed to completely fill the container? b cubic inches

8.6a Name an angle in the figure that is adjacent to angle 2.

8.8a This polygon is rotated 270° counterclockwise about the origin. Plot the image of point D (-4,5) and name the coordinates. D 20

(5, 4) D D’D’ 21

Name pairs of adjacent angles. 8.6a a e b d c 22

Adjacent Angles a and b b and c c and d d and e a and e

Rectangular Prism A is shown. Rectangular Prism B has the same height and width as rectangular Prism A but its length is 8 inches. The volume of Prism B is – A twice the volume of Prism A B one-half the volume of Prism A C one-fourth the volume of Prism A D four times the volume of Prism A c h = 5 cm w = 3 cm l = 4 cm

A twice the volume of Prism A

8.9 Which could represent the front view of this figure? a)b) c) d) 26 Left side Front side

27 d.)

8.6a Which pairs of angles are complementary?

30 4 cm 6 cm 10 cm 9 cm 2 cm 8.11 Find the area of this composite figure.

An artist created a geometric design on a wall. She began by painting a blue circle and then painting a yellow isosceles right triangle on top of the blue circle. This figure shows the artist’s beginning steps. Point A is the center of the circle. Points B and C lie on the circle. The diameter of the circle is 12 feet. What is the area of the interior of the circle not covered by triangle ABC, rounded to the nearest whole number?

Name pairs of supplementary angles. 8.6a a e b d c 34

Supplementary Angles a and b b and c a and c

3ft 10 ft 8 ft 5ft Bobby is painting a figure on a banner for a homecoming parade. The figure he is painting consists of an isosceles triangle, a rectangle, and a semicircle, as shown. What is the total area of the figure, rounded to the nearest tenth?

117.1 sq ft

Suppose a transformation is applied to an equilateral triangle. What type of transformation will make it appear as if the triangle has not moved? F 90° rotation H 270° rotation G 180° rotation J 360° rotation 8.8a

J 360° rotation

8.11

A. 196 square inches

8.10b Brittany designs a stained-glass window with a right triangle in the center as shown below. Which is closest to the length of the triangle’s hypotenuse? A 6 in. B 8.48 in. C 12 in D in. 6 in

B

8.11

B cm 2

Which figure best represents a triangle with sides a, b, and c in which the relationship a 2 + b 2 = c 2 is always true? 8.10a

8.8a Suppose that a plane figure is located in Quadrant I of the coordinate plane, and the center of the figure is the point at (5, 3). What will the coordinates of the center of the figure be if the figure is reflected across the y-axis? F (5, 3) G (5, -3) H (-5, 3) J (-5, -3)

H (-5, 3)

A painter leans a ladder against a house. The ladder is 26 feet long and the top of the ladder is 24 feet above the ground. How far is the base of the ladder from the house? F 35 ft G 25 ft H 10 ft J 5 ft 8.10a

H 10 ft

8.10a These triangles are not drawn to scale. Which triangle is a right triangle? AC BD ft 7.2 ft 9.7 ft 7.1 ft 6.4 ft 9.4 ft 6.3 ft 5.2 ft 8.4 ft 7.3 ft 5.1 ft 8.4 ft

8.10a B ft 7.2 ft 9.7 ft

8.13a

8.11 The net of a square-based pyramid is shown. What is the perimeter of this net? cm 1 cm

4 cm 6 cm 10 cm 9 cm 2 cm Find the area of this composite figure.

8.9 What three dimensional figure could be represented by these three views? Front View Left ViewTop View a) b) c)d) 60

61 A

8.11

D. 74 cm 2

8.13a Mr. Robert took a survey of his sixth period class to determine what breeds of dogs the students have as pets. The results are shown in this graph. What percentage of the dogs owned by Mr. Robert’s class are a beagle or a terrier? 64

8.8a

For your answer to be correct, you must have plotted the three vertices at the points described by these ordered pairs: (3, 3), (9, –3) and (-6, –3).

8.6a

You should have the numbers 1 and 3 in the “Vertical Angles” box (in any order), the number 3 in the “Adjacent Angles” box, the number 2 in the “Supplementary Angles” box, and the number 4 in the “Complementary Angles” box.

8.9

7.8 Identify the coordinates of B’ when triangle ABC is rotated 180 degrees counterclockwise about the origin. 72 A (-7,3) B (-7,-2) C (-1,-2) A C B

3ft 10 ft 8 ft 5ft Bobby is painting a figure on a banner for a homecoming parade. The figure he is painting consists of an isosceles triangle, a rectangle, and a semicircle, as shown. What is the total perimeter of the figure, rounded to the nearest tenth?

42.6 ft

What effect does doubling the width, length, OR height of a prism have on its volume? 7.5C 76

The volume of the new prism is double the volume of the original prism.

8.11 The net of a square-based pyramid is shown. What is the area of this net? cm 1 cm

7.8 Identify the coordinates of the image of triangle ABC after a dilation about the origin by a factor of A (-2,4) B (-2,-3) C (-4,-3) y x A B C

The rectangular prism shown has a surface area of. If the height of the prism is increased to 15 cm and the other dimensions remain the same, the surface area – a)Triples b)Increases by c)Increases by d)Increases by 7.5C Length = 4 cm Width = 3 cm Height = 5 cm

d) Increases by

7.8 Identify the coordinates of the image of triangle ABC after a reflection over the y -axis. 84 A (-2,4) B (-2,-3) C (-4,-3) y x A B C

7.8 Identify the coordinates of the image of triangle ABC after a dilation about the origin by a factor of A (-7,3) B (-7,-2) C (-1,-2) A C B

7.8 Identify the coordinates of C’ after the image of triangle ABC is translated 5 units to the right. 88 A (-7,3) B (-7,-2) C (-1,-2) A C B

90 4 cm 6 cm 10 cm 9 cm 2 cm 8.11 Find the perimeter of this composite figure.

A rectangular prism has a volume of. If the height of the prism is tripled and the other dimensions stay the same, what is the volume of the new prism? 7.5C 92

Which method would result in tripling the volume of this rectangular prism? a)Add three to each dimension of the prism b)Add three to the height of the prism and keep the other dimensions the same c)Multiply each dimension of the prism by three d)Multiply the width of the prism by three and keep the other dimensions the same 7.5c 94 height=5 cm width=2 cm length=10 cm

d) Multiply the width of the prism by three and keep the other dimensions the same 95

8.6a Name the pairs of vertical angles in the figure.

7.8 Identify the coordinates of the image of triangle ABC after a rotation of 180 degrees clockwise about the origin. 98 A (-2,4) B (-2,-3) C (-4,-3) y x A B C

One way to determine the surface area of this cylinder is to – A add the areas of both bases to the rectangular area around the cylinder B add the areas of both bases C multiply the area of the base by the height D multiply the rectangular area around the cylinder by pi a

A add the areas of both bases to the rectangular area around the cylinder 101

7.5c