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ACT Math Geometry: angles and triangles, trigonometry, circles, area and volume, coordinate geometry and similarity quiz quiz

12questions. Pick an answer and you'll see why right away.

  1. Two angles of a triangle measure 40°40° and 85°85°. What is the third angle?

  2. Parallel lines are cut by a transversal. One angle is 110°110°. Its corresponding angle measures:

  3. A right triangle has legs 9 and 12. What is the hypotenuse?

  4. In a right triangle, angle θ\theta has adjacent side 4 and hypotenuse 5. What is cos⁡θ\cos\theta?

  5. A circle has radius 7. What is its circumference in terms of π\pi?

  6. What are the centre and radius of (x−1)2+(y+4)2=36(x - 1)^{2} + (y + 4)^{2} = 36?

  7. A triangle has base 12 and height 5. What is its area?

  8. A cylinder has radius 3 and height 8. What is its volume in terms of π\pi?

  9. What is the distance between (0,0)(0, 0) and (6,8)(6, 8)?

  10. What is the midpoint of the segment from (1,2)(1, 2) to (9,8)(9, 8)?

  11. Two similar triangles have corresponding sides in the ratio 3 to 7. A side of the smaller is 9. Find the corresponding side of the larger.

  12. Two similar rectangles have a length scale factor of 4. How many times larger is the area of the bigger one?