8th Grade ACAP Math

Select the irrational number.

A square pot holder has an area of 64 square eaches. What is the length, in inches, of each side of the square pot holder?

• 16

• 32

Two similar right triangles are shown in the coordinate plane. Point P lies on line segment PR. Which statement best compares the slope of PQ to the slope of PR.

• PQ and PR have the same length, so the slopes must be equal.

• The lengths of the corresponding legs of the two triangles are proportional because they are similar, so the slopes must be equal.

• The horizontal distance from P to Q is 2 units, but the vertical distance is 4 units, so the slopes can't be equal.

• The short leg of the large triangle is the same length as the long leg of the small triangle, so the slopes cannot be equal.

The point (-2, y) is on the same line as the points (1, 2) and (7, -1). What is the value of y?

Which figure shows a reflection of line segment EF over line m?

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The vertices of triangle ABC are located at (0,3), (2,3), and (0,1). Triangle ABC is translated 3 units to the left and 2 units down to create triangle FGH. Select the point that is NOT one of the vertices of triangle FGH.

• (-3,-2)

• (-3,-1)

• (-3,1)

• (-1,1)

A scatterplot is shown. Which statement best describes the relationship between x and y in the scatterplot?

• The relationship is positive and linear.

• The relationship is positive and nonlinear.

• The relationship is negative and linear.

• The relationship is negative and nonlinear.