Given parallelogram ABCD below and parallelogram EFGH (not shown) are similar, which of the following statements must be true about the two shapes?
(F) Their areas are equal.
(G) Their perimeters are equal.
(H) Side AB is congruent to side EF.
(J) Diagonal AC is congruent to diagonal EG.
(K) Their corresponding angles are congruent.
What is the area, in square meters, of the figure below?
(F) 336(G) 330(H) 225(J) 82(K) 56
Correct Answer: H
If xy = 144, x + y = 30, and x > y, what is the value of x – y ?
(A)4 (B)6 (C)18 (D)22 (E)24
Correct Answer: C
In the figure below, C and D are both on 
the measure of 
BAC is equal to the measure of DAE and the measure of ACD is equal to the measure of ADC. Which of the following statements must be true?
(Note: The symbol ≅ means "is congruent to.")
(F) 
ABC is similar to AED.
(G) The areas of triangles ACD and ADE are equal.
(H) 
(J) 
(K) 
and 
are perpendicular.
Correct Answer: F
More ACT Math Exam Questions
- 1Given that i2= –1, what is the value of (4 + 2i)(4 – 2i)?
- 2If a = BC, b = x, and c = yz, then AB = ?
- 3
In the grid shown below, each small square has a side length of 1 unit. In the shaded region, each vertex lies on a vertex of a small square. What is the area, in square units, of the shaded region?
- 4A cellular phone company unveiled a new plan for new customers. It will charge a flat rate of $100 for initial connection and service for the first two months, and $60 for service each subsequent month. If Bob subscribes to this plan for one year, how much does he pay in total for the year?
- 5
As shown below, the diagonals of rectangle EFGH intersect at the point (-2,-4) in the standard (x,y) coordinate plane. Point F is at (-7,-2). Which of the following are the coordinates of H?
