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Lines, Angles, and Triangles Flashcards

7 cards from real Bluebook SAT Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. In triangle ABC, side AB = 7, BC = 24, and angle B = 90°. What is the length of AC?

    Answer: 25

    AC = √(AB² + BC²) = √(49 + 576) = √625 = 25.

  2. Two angles of a triangle are 54° and 78°. A line is drawn from the third vertex perpendicular to the opposite side. What is the measure of the third angle of the triangle?

    Answer: 48°

    Third angle = 180° − 54° − 78° = 48°.

  3. Parallel lines r and s are cut by a transversal. A co-interior angle on line r measures (6x + 5)° and the co-interior angle on line s measures (4x + 15)°. What is x?

    Answer: 16

    Co-interior angles are supplementary: (6x+5)+(4x+15) = 180 → 10x+20 = 180 → x = 16.

  4. An angle bisector divides a 136° angle into two equal parts. What is the measure of each part?

    Answer: 68°

    Each part = 136° / 2 = 68°.

  5. Triangle XYZ is similar to triangle PQR. If XY = 12, YZ = 16, and PQ = 9, what is QR?

    Answer: 12

    Ratio = PQ/XY = 9/12 = 3/4; QR = YZ × 3/4 = 16 × 3/4 = 12.

  6. Lines m and n are parallel. A transversal creates an angle of 117° on line m. What is the measure of the alternate interior angle on line n?

    Answer: 117°

    Alternate interior angles are equal when lines are parallel, so the angle is 117°.

  7. In a right triangle, the two acute angles are in the ratio 1:5. What is the measure of the larger acute angle?

    Answer: 75°

    Two acute angles sum to 90°; ratio 1:5 → 6 parts = 90° → each part = 15°; larger = 5 × 15° = 75°.

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Sources & references

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  1. satsuite.collegeboard.org — Score release, test delivery, time limit, test dates, fees, registration, retake policy · verified Oct 2026
  2. bluebook.collegeboard.org — Test delivery · verified Oct 2026