“Measurement and Geometry” Math-8 SOL Review Packet Topics: Angles Volume and Surface Area Transformations Three-Dimensional Views Pythagorean Theorem Area and Perimeter SOL’s Covered:

Angles 1) 2) New State Question! New State Question!

Angles 3) 4) 5) Name the pairs of vertical angles in the figure. Which two angles are supplementary? Name an angle in the figure that is adjacent to angle 2. Which pairs of angles are complementary? 1 2 3 4 5 6 New State Question!

Angles 6) 7) 8)

Angles 9) 10)

Volume and Surface Area 1) 2) New State Question! New State Question! Anna built a prism (Prism A) in the shape of a cube out of wood. The side length of the cube measured 18 inches in length. Anna built another prism (Prism B) with the same dimensions as the cube, except she doubled its height. How does the volume of the two prisms compare? How does the surface area of the two prisms compare? Find the volume and surface area of Prism A and Prism B. 18 inches h 2h Prism A Prism B New State Question!

Volume and Surface Area 3) 4) 5) A paper weight mold in the shape of a square pyramid is filled with molten glass. How many cubic inches of molten glass are needed to fill the paper weight? New State Question! New State Question! New State Question!

Volume and Surface Area 6) 7) 8) 9) Brian purchased a trophy in the shape of a square pyramid for the most valuable player on his lacrosse team. The trophy had a slant height of 4 inches, and each side of its base measured 4 inches. Brian wanted to engrave text on the four sides of the trophy, but not on the base of the trophy. How many square inches of the trophy were available for engraving? New State Question! Megan wrapped a present inside a cube-shaped box. The box had an edge length of 4 inches. How many square inches of paper were needed to wrap the box, if there was no overlap? New State Question! 4 inches

Volume and Surface Area 10) 11) New State Question! New State Question!

Volume and Surface Area 12) 13) 14)

Transformations 1) 2) New State Question!

Transformations 3) 4)

Transformations 5) 6)

Transformations 7) 8)

3-D Views 1) Left side Front side 2) Which could represent the front view of this figure? a) b) c) d) 3-D Views 1) 2) New State Question! Left side Front side What three dimensional figure could be represented by these three views? Front View Left View Top View a) b) c) d) New State Question!

3-D Views 3) 4) New State Question! New State Question!

3-D Views 5) 6) New State Question! New State Question!

3-D Views 7) 8)

3-D Views 9) 10)

Pythagorean Theorem 1) 2) 3) 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? New State Question!

Pythagorean Theorem 4) 5) 6)

Pythagorean Theorem 7) 8) 9)

Area and Perimeter 4 cm 4 cm 9 cm 9 cm 6 cm 6 cm 2 cm 2 cm 10 cm 10 cm 1) 2) 4 cm 6 cm 10 cm 9 cm 2 cm New State Question! 4 cm 6 cm 10 cm 9 cm 2 cm b) A semicircle with a diameter of 2 centimeters is added to the side of the figure labeled 2 cm. Find the approximate area and perimeter of the new figure after this addition. Find the area and perimeter of this composite figure. New State Question!

Area and Perimeter 3) 4) New State Question! New State Question!