Home->ACT Math

Point C (1,2) and point D (7,-10) lie in the standard coordinate plane. What are the coordinates of the midpoint of ?

(F) (1, 8)

(G) (3,-6)

(H) (4,-4)

(J) (4,-6)

(K) (7,-4)

In the figure below, all line segments that intersect are perpendicular. Using only the segments and vertices in the figure, how many distinct rectangles are there with areas less than the area of ADLI? (Note: If 2 rectangles have all four vertices in common, then they are not distinct.)

（A）7 （B） 8 （C） 17 （D） 18 （E） 19

Correct Answer: C

The perimeter of an elliptical billiard table is to be covered with red velvet. The perimeter of an ellipse is given by the formula , where l is the length and w is the width, as shown in the diagram below. If the length is 4 feet and the width is 3 feet, what is the outside perimeter of the ellipse in feet?

（A）π （B） (4 + 3) （C） π （D） (4π + 3) （E） 5π

Correct Answer: A

For the rectangle shown in the standard (x,y) coordinate plane below, what are the coordinates of the unlabeled vertex?

(A) (4,5) (B) (4,7) (C) (D) (6,7) (E) (10,4)

Correct Answer: D