← All lessons

Plane Geometry (Foundations)

Core skills for this exam family.

Phase 2 · ACT Math

Plane Geometry: core idea

Square area s2s^2.

Example problem: hint and answer

Find the perimeter of an equilateral triangle with side 99.

Hint: It has three equal sides. Answer: 27.

Practice (9 problems — type your answers)

  • 1. A circle has radius 44. Find its area in terms of π\pi.

  • 2. Two vertical angles measure x+10x+10 and 3x−303x-30. Find xx.

  • 3. Find the area of a parallelogram with base 1212 and height 77.

  • 4. A regular octagon has how many sides?

  • 5. A right angle is divided into angles of 35∘35^\circ and x∘x^\circ. Find xx.

  • 6. A square's side doubles from 55 to 1010. What is its new area?

  • 7. Find the circumference of a circle with diameter 1414 in terms of π\pi.

  • 8. A triangle has base 1818 and area 6363. Find its height.

  • 9. What is the sum of interior angles of a quadrilateral?

Plane Geometry Practice Problems — Foundations