Geometry Points, Lines, Segments and Angles Quiz: 10 Questions with Explanations

A 6B 187C 14D 28

By segment addition, AC = AB + BC = 11 + 17 = 28. Subtracting (6) finds the difference of the two parts, not the whole.

A 4B 8C 10D -4

The midpoint is (-6 + 14)/2 = 4. A common mistake is to add the absolute values or halve the length.

A 84 degreesB 21 degreesC 96 degreesD 42 degrees

A bisector makes two equal angles, so 84 divided by 2 is 42 degrees.

A 25 degreesB 95 degreesC 85 degreesD 150 degrees

Angle addition gives 30 + 55 = 85 degrees. Subtracting gives 25, which is the difference, not the whole angle.

A 68 degreesB 78 degreesC 248 degreesD 22 degrees

Supplementary angles add to 180, so 180 – 112 = 68. Using 90 instead of 180 gives the complement idea, which is not asked here.

A 5B 7C 11D 23

Set 3x + 2 = 2x + 9 to get x = 7. The value 23 is AM, not x.

A (3, 2)B (6, 4)C (2, 3)D (3, 4)

Average each coordinate: (0 + 6)/2 = 3 and (0 + 4)/2 = 2. Swapping the coordinates gives (2, 3).

A All points in a plane that are equally far from two given pointsB All points in a plane a fixed distance from a given pointC A closed figure with no straight sidesD A line segment bent around its midpoint

A circle is defined by a constant distance (the radius) from a fixed center. Equal distance from two points describes a perpendicular bisector.

A 7B 5C 25D 3.5

The distance is the square root of 3 squared plus 4 squared, which is the square root of 25, or 5. Forgetting the square root gives 25.

A 28B 12C 32D 96

Perpendicular lines make a 90 degree angle, so 3x – 6 = 90 and x = 32. The value 96 is 3x, not x.