ACT Math Diagram Problem Strategies What to expect

ACT Math Diagram Problem Strategies

What to expect • Most questions involving a diagram has to do with coordinate geometry, planar geometry, or trigonometry • Coordinate geometry: 9 questions • Planar geometry: 14 questions • Trigonometry: 4 questions

Identify unknowns • Make a quick list of unknown information • The length of sides AB and AC in the triangle below are equal. What is the measure of angle ∠ A? l. A) 70° l. B) 55° l. C) 110° l. D) 40° l. E) 20°

Estimate • Estimating on the image is better than pure guessing l. Not all images are drawn to scale • In the figure below, B is on AD, ∠ BAC and ∠ ACB measure 26° and 131° respectively. What is the measure of ∠CBD? l. A) 25° l. B) 157° l. C) 90° l. D) 75° l. E) 110°

Practice Problems • Which of the graphs below is the solution set of -3 x <= 12?

Practice Problems • In the figure below, ray EF was constructed starting from rays ED and EG. By using a compass, D and G were marked equidistant from E on rays ED and EG. The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of ∠DEF and ∠GEF: A) are equal. B) are not equal. C) sum to 30°. D) sum to 45°. E) sum to 60°.

Practice Problems • In the right triangle ABC below, what is the cosine of angle A? A) 2/4 B) 3/4 C) 4/3 D) 3/5 E) 4/5

Practice Problems • The total surface area of all six sides of the rectangle box below is equal to 128 square inches. What is x in inches? A) 12 B) 8 C) 16 D) 4 E) 6

Practice Problems • The lengths in the rectangle below are in inches. What is the shaded area in square inches? A) 34 B) 21 C) 8 D) 38 E) 70