Accelerated: Geometry Learning Tasks

Name:_______________________________________

Learning Task #1: Angles Due for In-Class Work:__________________________

Find the value of x and each angle measurement.1. 2. 3.

4. 5. 6.

7.

m∠1 =

m∠4 =

m∠5 =

m∠8 =

8.

A. Name all pairs of corresponding angles.

B. Name all pairs of alternate exterior angles.

C. Name all pairs of alternate interior angles.

D. Name all pairs of vertical angles.

9. Find the value of x and the angle measurement.

10. Find the value of x and the angle measurement.

11. Find the value of x and the angle measurement.

12. Find all the angle measurements.

Learning Task #2: Circumference and Area of Circles Due for In-Class Work:_______________________

Find the circumference and area of each figure.1. Round to the nearest tenths. 2. Round to the nearest tenths. 3. Round to the nearest tenths.

4. Round to the nearest tenths. 5. The largest tree in the world is the General Sherman sequoia in Sequoia National Park, California. It is 275 feet high, has a diameter of 36.5 feet, and has an estimated weight of 2,150 tons. Find the sequoia’s circumference to the nearest tenth of a foot.

6. What is the area of a pizza if the diameter is 16 inches? Round to the nearest tenths place.

7. Val needs to buy rocks for the rock garden shown below. How many square inches of rock does Val need to buy?

8. A circle has an area of 94.985 yds2. What is the length of the radius and diameter?

9. A circle has a circumference of 59.66 inches. What is the length of the radius and diameter?

Learning Task #3: Area of Complex Figures Due for In-Class Work:__________________________

Find the area of each figure.1. 2.

3. 4.

5. The Parks and Recreation department is building a gazebo in the local park with the dimensions shown in the figure. What is the area of the floor?

6. The Cruz family is buying a custom-made cover for their swimming pool, shown below. The cover costs $2.95 per square foot. How much will the cover cost?

7. The Parker family wants to paint the deck around their swimming pool with dimensions shown in the figure. If a gallon covers 200 square feet, how many gallons of paint are needed to apply two coats of paint?

Learning Task #4: Volume of Prisms and Cylinders Due for In-Class Work:_____________________

Find the volume of each figure.1. 2.

3. 4.

5. 6.

7. How many cubic feet of water would you need to fill the pool 80% full?

8. How many cubic foot of rock would you need to fill the tube ¾ full?

Learning Task #5: Volume of Pyramids and Cones Due for In-Class Work:_____________________

Find the volume of each figure.1. 2. Round to the nearest tenths place.

3. 4.

5. 6.

7. Round to the nearest tenths place. 8. Round to the nearest tenths place.

Learning Task #6: Surface Area of Prisms and Cylinders Due for In-Class Work:__________________________

1. Draw and label a net for the following figure. Then find the surface area using the net.

2. Draw and label a net for the following figure. Then find the surface area using the net.

Find the surface area of each figure.3. 4.

5. 6.

Learning Task #7: Volume and Surface Area of Spheres Due for In-Class Work:__________________________

Find the volume and surface area of each figure.1. Round to the nearest tenths place. 2.

3. Round VOLUME to the nearest tenths place.

Learning Task #8: Volume and Surface Area of Complex Figures Due for In-Class Work:__________________________

1. Find the volume. 2. Find the surface area.

3. Find the surface area and volume.

4. Find the volume. 5. Find the volume. Round to the nearest tenths place.

Learning Task #9: Pythagorean Theorem Due for In-Class Work:__________________________

Find the missing side length.1. Round to the nearest tenths place. 2. Round to the nearest tenths place.

3. What is the length of a diagonal of a rectangular picture whose sides are 12 inches by 17 inches? Round to the nearest tenth of an inch.

4. Troy drove 8 miles due east and then 5 miles due north. How far is Troy from his starting point? Round to the nearest tenth of a mile.

5. A 20-foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the bottom of the ladder? Round to the nearest tenth of a foot.

6. A swimmer wants to swim across a lake from the dock to the picnic tables but doesn’t know how far it is. He walks east 40 yards and then south 35 yards to get from the dock to the picnic table. If he swam across the lake, how far would it be? Round to the nearest tenths place.

7. A triangle has side lengths of 18 inches, 23 inches, and 29 inches. Is it a right triangle?

8. A triangle has side lengths of 7 yards, 24 yards, and 25 yards. Is it a right triangle?

Graph the following points. Use the Pythagorean Theorem to find the distance between the two points. Round to the nearest tenths place.

9. (-3, 8) and (2, -6) 10. (9, 4) and (-6, -3)