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Geometry Flashcards

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

Read the first 7 Geometry flashcards as text
  1. What is the distance between points (1, 2) and (4, 6)?

    Answer: 5

    Distance = √((4−1)² + (6−2)²) = √(9 + 16) = √25 = 5.

  2. What is the midpoint of the segment connecting (2, 4) and (8, 10)?

    Answer: (5, 7)

    Midpoint = ((2+8)/2, (4+10)/2) = (5, 7).

  3. Two triangles are similar with corresponding sides in the ratio 2:5. If a side of the smaller triangle is 6, what is the corresponding side of the larger triangle?

    Answer: 15

    Setting up the proportion 2/5 = 6/x gives x = 15.

  4. What is the slope of the line passing through (3, 1) and (7, 9)?

    Answer: 2

    Slope = (9−1)/(7−3) = 8/4 = 2.

  5. A line has slope 3. What is the slope of a line perpendicular to it?

    Answer: −1/3

    Perpendicular lines have slopes that are negative reciprocals, so slope = −1/3.

  6. The sum of interior angles of a polygon is 720°. How many sides does it have?

    Answer: 6

    Sum of interior angles = (n − 2) × 180°; solving (n − 2) × 180 = 720 gives n = 6.

  7. An isosceles triangle has two equal sides of length 10 and a base of length 12. What is the height from the base to the apex?

    Answer: 8

    The height bisects the base into two 6-unit segments; h = √(10² − 6²) = √(100 − 36) = √64 = 8.