SAT Math · Geometry and Trigonometry
Lines, angles, and triangles practice questions
Each free question on this page comes with its answer and a full explanation, and each one is marked easy, medium or hard.
- Question 21 · mediumIn a triangle, one exterior angle measures 140°. The two remote interior angles measure 3x° and (2x+10)°. What is the value of x?
- Question 42 · hardTriangle ABC is similar to triangle DEF, with vertex A corresponding to D, B to E, and C to F. If AB = 8, BC = 12, and DE = 6,…
- Question 83 · mediumTwo sides of a triangle have lengths 7 and 12. Which of the following is a possible length for the third side?
- Question 84 · mediumTwo similar triangles have corresponding side lengths in the ratio 2:5. If the smaller triangle has area 16, what is the area of…
- Question 102 · easyAn isosceles triangle has a vertex angle of 40°, formed by its two equal sides. What is the measure of each base angle?
- Question 143 · mediumThe three angles of a triangle measure x°, 2x°, and (3x-30)°. What is the value of x?
- Question 162 · mediumA line passes through the points (1,2) and (5,10). A second line passes through the points (0,6) and (4,4). What is the…
- Question 163 · easyIn a triangle, a midsegment (connecting the midpoints of two sides) has length 7. What is the length of the side of the triangle…
- Question 202 · mediumTwo parallel lines are cut by a transversal. One of the angles formed measures 65°. What is the measure of the co-interior…
- Question 203 · mediumIn triangle ABC, segment DE is drawn parallel to side BC, with D on side AB and E on side AC. If AD = 4, DB = 6, and AC = 15,…
- Question 284 · mediumIn a triangle, one exterior angle measures 135°. The two remote interior angles measure 4x° and (2x+15)°. What is the value of x?
- Question 303 · mediumTwo sides of a triangle have lengths 9 and 15. What is the smallest possible integer length for the third side?
- Question 304 · mediumIn a triangle, one exterior angle measures 150°. The two remote interior angles measure 3x° and (x+30)°. What is the value of x?