Chapter 6 Team Test
Name:______________________________ Date:__________________ Period:__________
1. On graph paper, plot and connect in order: A(–2, –1), B(–2, –7), C(–6, –7) and connect C
back to A. Calculate the area of triangle ABC.
Multiply each coordinate of triangle ABC by three, creating a new shape. Label the
new shape DEF. What are the coordinates of triangle DEF? Is the area of DEF three
times the area of triangle ABC? Why? Explain completely.
2. In the graph below, translate triangle A five units to the right, and one unit down. Then
reflect the triangle across the x-axis. Finally, dilate the triangle by multiplying the
coordinates by two. What is the area of this final triangle? Show all work.
A
3. One way to find the height of a tall tree is to measure its shadow and compare that with
the shadow of an object whose height is known. Why does this work? Explain
completely and use this idea to write and solve a proportion based on this picture, to
calculate the height of the tree.
1m
0.75 m
18 m
4. Allister, who is 5 feet tall, is standing three feet from a mirror lying on the ground. When
he looks into the mirror, he can just see the top of a tree that is 24 feet away from the
mirror. Make a sketch of this situation, and use it to calculate the height of the tree.
5. How can you transform the trapezoid to its new
location? Describe a series of rigid transformations that
will move Trapezoid ABCD to the “shadow” showing its
new position.
C
B
A
D
6. Describe a series of rigid transformations that will move the key into the correct position
to fit into the keyhole. Be clear and complete, and watch out for obstacles!