Summer Math: Entering Algebra 1 Worksheet (Page 3 of 8) in pdf

Summer Math: Entering Algebra 1 Worksheet Page 3

Geometry (G)

1. Caught Stealing

Base

What is the area enclosed by the baseball diamond?

To catch a base runner stealing from 1

base to 2

base, the catcher throws

from home plate to 2

base. Use the Pythagorean theorem to find the

distance that the ball has to travel.

Base

Home

2. Perfect Packing Company

3 in.

12 in.

8 in.

The Perfect Packing Company wants to lower the cost of its boxes by reducing the surface area while

keeping the volume the same. One of the boxes is shown above.

Find the volume of this box. Show how you found your answer.

Find the surface area of this box. Show how you found your answer.

333

Find the dimensions of a box that has the same volume but less surface area. Show how you

found your answer.

3. Tricky Triangles

Graph the triangle with the following coordinates: A(2,1), B(5,4), C(8,3).

Classify the triangle.

Describe how you could move one of the coordinates to change this into a right triangle.

What will the coordinates of the original triangle be if it is translated down two units and to the right

three units?

Reflect the original triangle over the x-‐axis. What are the coordinates of the reflection?

Summer Math: Entering Algebra 1 Worksheet Page 3