Nice work!
Review your answers above to learn from any mistakes.
About This Drill
ACT Math — Geometry — Drill 3 is a Math practice drill covering Geometry. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.
This ACT Geometry drill covers applying the 30-60-90 and 45-45-90 special right triangle ratios, computing trapezoid area, finding the lateral surface area of a cylinder, using slopes to identify parallel and perpendicular lines, and calculating arc length and sector area.
Questions in This Drill
- In a 30-60-90 right triangle, the side opposite the 30° angle has length 7. What is the length of the hypotenuse?
- A trapezoid has parallel sides of lengths 8 and 14, and a height of 6. What is the area of the trapezoid?
- A cylinder has a radius of 3 and a height of 10. What is the total surface area of the cylinder, in terms of π?
- Line ℓ passes through the points (2, 1) and (6, 9). Line m is perpendicular to line ℓ and passes through the point (4, 5). What is the equation of line m?
- A circle has a radius of 12. A sector of the circle has a central angle of 150°. What is the area of the sector, in terms of π?