Question

PLEASE HELP!!!!!

A.) Definition of segment bisector


B.) CPCTC


C.) Reflexive Property of Congruence


D.) SSS Postulate

Answer 1

A segment bisector divides a line segment into two congruent parts. CPCTC is used to deduce that corresponding parts of congruent triangles are congruent. The Reflexive Property of Congruence states that any geometric figure is congruent to itself and the SSS Postulate allows triangles to be proven congruent by showing all three sides are equal in length.

Step-by-step explanation:

Segment Bisector: A segment bisector is a point, line, segment, or plane that divides a line segment into two equal parts. For example, in a line segment AB, a segment bisector would split it into two segments, AC and CB, where AC = CB.

CPCTC (Corresponding Parts of Congruent Triangles are Congruent): This is an acronym used in geometry to state that if two or more triangles are proven to be congruent, then all of their corresponding angles and sides are also congruent. This is often used after proving triangles congruent through methods like SSS, SAS, or ASA to prove that certain parts of the triangles are identical.

Reflexive Property of Congruence: This property states that any geometric figure is congruent to itself. In terms of triangles, it means any side or angle of a triangle is congruent to itself.

SSS Postulate (Side-Side-Side Postulate): The SSS Postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. This is one of the ways to prove that two triangles are congruent without measuring all the angles.

Answer 2

CHALLENGE ACCEPTED!

Step-by-step explanation:

A segment bisector always passes through the midpoint of the segment of a circle.

CPCTC is the abbreviation of a theorem that involves congruent triangles. It stands for Corresponding Parts of Congruent Triangles are Congruent. It means that once two triangles are proven to be congruent, then the three pairs of sides that correspond must be congruent and the three pairs of angles that respond must be congruent.

Reflexive property of congruence states that any geometric figure is congruent to itself.

SSS postulate states that if three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent.

HM is equivalent to JM because it is an isosceles triangle and base angles of an isosceles triangle are equal.