Home->ACT Math

Given that m and n are parallel lines, T is a transversal crossing both m and n, and m b = 100°, what is the measure of e?

(A)40°

(B) 50°

(C) 80°

(D) 100°

(E) 120°

In the standard (x,y) coordinate plane below, 3 of the vertices of a rectangle are shown. Which of the following is the 4th vertex of the rectangle?

(A)(3,–7) (B)(4,–8) (C)(5,–1) (D)(8,–3) (E)(9,–3)

Correct Answer: A

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

A surveyor took and recorded the measurements shown in the figure below. If the surveyor wants to use these 3 measurements to calculate the length of the pond, which of the following would he find to be the most useful?

（A）The Pythagorean Theorem （B） The ratios for the side lengths of 30°-60°-90° triangles （C） The ratios for the side lengths of 45°-45°-90° triangles （D） The law of cosines, which states that for any ΔABC, where a is the length of the side opposite a, b is the length of the side opposite b, and c is the length of the side opposite c, a² = b² + c² - 2BC[cos （E） The law of sines, which states that the ratio between the length of the side opposite an angle and the sine of that angle is the same for all of the interior angles in the same triangle.

Correct Answer: D