Triangle ACE, shown in the figure below, is isosceles with base . B lies on and D lies on . Segments and bisect AEC and CAE respectively. Which one of the following angle congruences is necessarily true?

(A) ∠CAE ≅ ∠BEC

(B) ∠CAD ≅ ∠AEC

(C) ∠CAE ≅ ∠ACE

(D) ∠AEC ≅ ∠ACE

(E) ∠BEC ≅ ∠DAE

The length of a rectangle is 5 inches longer than its width. If the perimeter of the rectangle is 38 inches, what is the width, in inches?

（A）5 （B） 7 （C） 12 （D） 17 （E） 28

**Correct Answer: B**

In the standard (x, y) coordinate plane, what are the coordinates of point a after the graph is reflected over the line x = 7?

（A）(3, m) （B） (-3, -m) （C） (10, m) （D） (15, m) （E） (17, m)

**Correct Answer: E**

If 80% of a number is 260, what is 116% of the same number?

(A)311 (B)317 (C)349 (D)377 (E)397

**Correct Answer: D**

### More ACT Math Exam Questions

- 1Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?
- 2If a marble is chosen at random from a bag that contains 16 blue marbles, 12 red marbles, 6 green marbles, and 10 white marbles, what is the probability that the marble chosen will NOT be blue?
- 3
What is the value of y

^{x}+ (2x - 2y) when x = 2 and y = -3? - 4
What is the degree measure of an angle that measures radians?

- 5
If pq– 3r= 2, what is the value of qin terms of pand r?