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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. Line l is parallel to line m. A transversal makes a 48° alternate interior angle with l. What is the corresponding alternate interior angle at m?

    Answer: 48°

    Alternate interior angles formed by parallel lines are equal: 48°.

  2. A triangle has sides 7, 24, and 25. Is it a right triangle?

    Answer: Yes, because 7² + 24² = 25²

    7² + 24² = 49 + 576 = 625 = 25²; it satisfies the Pythagorean theorem.

  3. A linear pair of angles measures (3x + 15)° and (x + 25)°. What is x?

    Answer: 35

    (3x+15)+(x+25)=180 → 4x+40=180 → x=35.

  4. Two similar triangles have perimeters 30 cm and 45 cm. A side of the smaller is 8 cm. What is the corresponding side of the larger?

    Answer: 12 cm

    Ratio = 30:45 = 2:3; corresponding side = 8 × 3/2 = 12 cm.

  5. Triangle MNP has an exterior angle at M of 130°. Angle N = 70°. What is angle P?

    Answer: 60°

    Exterior at M = angle N + angle P → 130° = 70° + P → P = 60°.

  6. BD bisects angle ABC. If angle ABD = 35°, what is angle DBC?

    Answer: 35°

    An angle bisector creates two equal halves; angle DBC = 35°.

  7. Adjacent supplementary angles at an intersection are (5x + 10)° and (3x + 30)°. What is x?

    Answer: 17.5

    (5x+10)+(3x+30)=180 → 8x+40=180 → 8x=140 → x=17.5.