Fill in the blanks with the appropriate alphabet or numeral.

A Two line segments are congruent, if both the line segments are of ____length.

B Two angles are congruent, if measures of both the angles are ____.

C Two circles are congruent, if both the circles have ____radius.

Question

Fill in the blanks with the appropriate alphabet or numeral.

A Two line segments are congruent, if both the line segments are of length.

B Two angles are congruent, if measures of both the angles are .

C Two circles are congruent, if both the circles have radius.

Accepted Answer

Concept: Two line segments are equal if they are of same length, two angles are congruent if angles are equal and two circles are congruent if they have equal radius.
Before filling in the blanks with the appropriate words or symbols, let's first review the meanings of each of the concepts used in the questions.
A. If the measures of two line segments are equivalent, they are said to be congruent.
For instance, both line segments are said to be congruent if

and

. This is because both line segments have the same measure.
Two line segments are said to be congruent if their lengths are the same.
Hence, "both the line segments are of the same length" is the right response.
B. If two angles have the exact same measure in radians or degrees, they are considered to be congruent.
The two angles are said to be congruent if, for instance,

and

and they are both identical in size.
If the measurements of two angles are the same, then the angles are congruent.
Hence, "if measurements of both angles are equal" is the right response.
(C) Circles of the same size are congruent circles. Although "radii" is used here to refer to size, size may also refer to many other things, including diameter, circumference, and area.
If the radius of both circles is the same, then two circles are congruent.
Hence, "both the circles have the same radius" is the right response.