Match each geometric construction with its correct description.

Question

1. Perpendicular Bisector of a Line Segment
2. Angle Bisector
3. Regular Pentagon
4. Equilateral Triangle
5. Tangent to a Circle

a.
b. A line that divides an angle into two equal angles
c. A shape where all sides and angles are equal parts at a right angle
d. A line that touches a circle at exactly one point
e. A triangle where all three sides are of equal length

Answer 1

Here are the correct matches for each geometric construction:

1. Perpendicular Bisector of a Line Segment - c. A shape where all sides and angles are equal parts at a right angle (This is not the best fit, so it should instead be labeled simply as a line that divides a segment into two equal parts at a right angle, but since this option is not present, c can be taken metaphorically.)

2. Angle Bisector - b. A line that divides an angle into two equal angles.

3. Regular Pentagon - a. A shape where all sides and angles are equal (Although not listed as an option, this is the intrinsic property of a regular polygon, thus not matching well with any given descriptions).

4. Equilateral Triangle - e. A triangle where all three sides are of equal length.

5. Tangent to a Circle - d. A line that touches a circle at exactly one point.

Note: It seems there might be an error or a misfit in option descriptions, as some do not perfectly match the geometric constructions listed.