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ACT Geometry Practice Questions
Geometry questions show up frequently in the Math section of the ACT. Below are practice questions taken from our bank to help you prepare.
Starter questions
A construction crew is measuring the diagonal of a rectangular plot. The plot has a width of 5 meters and a height of 12 meters. What is the length of the diagonal, in meters?
A construction crew is building a ramp with a triangular base. The base of the triangle is 3 meters, and the height is 4 meters. What is the length of the ramp, which forms the hypotenuse of the triangle?
More questions
A subway train travels 3 miles east and then 4 miles north from its starting station. What is the straight-line distance, in miles, from the train's final position back to the starting station?
A subway train travels 3 miles east and then 4 miles north from its starting station. What is the straight-line distance, in miles, from the train's final position back to the starting station?
A subway train travels 3 miles east and then 4 miles north from its starting station. What is the straight-line distance, in miles, from the train's final position back to the starting station?
A subway train travels 3 miles east and then 4 miles north from its starting station. What is the straight-line distance, in miles, from the train's final position back to the starting station?
Hard questions
A software company is designing a logo that includes a right triangle. The triangle has an angle of 30 degrees, and the side adjacent to this angle is 5 units long. What is the length of the side opposite the 30-degree angle?
A software company is designing a logo that includes a right triangle. The triangle has an angle of 30 degrees, and the side adjacent to this angle is 5 units long. What is the length of the side opposite the 30-degree angle?
A rectangular screen has an aspect ratio of 16:9 (width to height). If the diagonal of the screen measures 65 inches, what is the tangent of the angle formed between the diagonal and the width of the screen?
A software company designs a triangular logo with sides of lengths 7, 24, and 25 units. The logo is placed on a rectangular banner such that the side of length 25 units lies along the bottom edge of the banner. The company wants to add a vertical line from the top vertex of the triangle to the base, dividing the triangle into two smaller triangles. What is the length of this vertical line?
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