8th Grade: Fall Semester Test 2024

Trapezoid ABCD represents the location of a picture on Renae’s wall. Renae moves the picture to a new location, shown by trapezoid A'B'C'D'. Describe the translation of the picture.

• Dilation

• Translation

• Reflection

• Rotation

Consider the graph of △ABC and its image △A'B'C'. Which statements about the transformation shown are true? Choose all that apply.

• The y-coordinates of the vertices of △ABC and its image △A'B'C' are the same.

• △A'B'C' is the image of a reflection of △ABC across the y-axis.

• The x-coordinates of the vertices of △ABC and its image △A'B'C' are the same.

• The x-coordinates of the vertices of △ABC and its image △A'B'C' are opposites.

• △A'B'C' is the image of a reflection of △ABC across the line x = 3.

The trapezoid QRST represents a game piece. Sage rotates the trapezoid so that point Q' is located at (2, 3). Which describes the rotation that was performed? Choose the correct answer.

• 270° counterclockwise about point T

• 180° counterclockwise about point T

• 180° clockwise about the origin

• 90° clockwise about the origin

Triangle JKL has vertices J(3, -7), K(7, -3), and L(3, 7). What are the coordinates of J after a 90° rotation counterclockwise about the origin?

• J' (7, -3)

• J' (-7, 3)

• J' (-7, -3)

• J' (-3, -7)

Figure ABCD has vertices A(-2, -2), B(1, 1), C(0, 4), and D(-3, 5). The figure is translated 5 units to the right and 6 units down. Then it is translated 2 units to the left and 2 units up. What are the coordinates of image C'' after both translations?

• C'' (1, 2)

• C'' (4, 5)

• C'' (3, 8)
• C'' (0, 9)

A farmer is planning to fence in a larger plot of land for her cows and a smaller plot of land for her goats. Are these similar shapes?

• Yes, they are similar

• No, they are not similar

A street light pole casts a 14-foot shadow. At the same time, Ms. Diaz casts a 7-foot shadow. If the light pole is 10 feet tall, what is Ms. Diaz’s height?

• 5 feet
• 5.3 feet

• 7 feet

James needs kitchen tile at the cheapest price. The local hardware store sells tile for $5.27 per square foot. The cost at the large hardware store is shown in the graph. If each tile is one square foot, what is the cheapest price James will pay for 100 square feet of tile?

• $535

• $527

• $525

The graph shows the cost of grapes at a grocery store. What does the slope of the line represent? Grapes cost $__________________ per pound.

• $3 per pound
• $2 per pound

• $3.50 per pound

• $4.50 per pound

The graph shows that the amount of money Eric earns is proportional to the number of hours he does chores. What does the slope of the line mean?

• He earns $7 per hour

• He earns $6.50 per hour

• He works 7 hours and earns $1