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If segment ab is congruent to segment bc then angle a is congruent to angle c by what?
true
What are the segments of equal lengths called?
If two segments are of equal length, then we call them congruent segments. Congruency is used when we do not know the specific length or measure, but instead we are dealing with unknown values. In other words, if I know that segment AB=8, I cannot say that AB is congruent to 8 since 8 is a specific value. I could say that segment AB is congruent to another segment, maybe segment BC but it would be improper to say that a segment is congruent to a specific value.
Angle bisector of angleA of triangleABC is perpendicular to BC prove it is isosceles?
Let D represent the point on BC where the bisector of A intersects BC. Because AD bisects angle A, angle BAD is congruent to CAD. Because AD is perpendicular to BC, angle ADB is congruent to ADC (both are right angles). The line segment is congruent to itself. By angle-side-angle (ASA), we know that triangle ADB is congruent to triangle ADC. Therefore line segment AB is congruent to AC, so triangle ABC is isosceles.
In the straightedge and compass construction of an equilateral triangle below which of the following reasons can you use to prove that and are congruent?
AB and BC are both radii of B. To prove that AB and AC are congruent: "AC and AB are both radii of B." Apex.
What is a segment addition postulate?
Ab+bc=ac
