0
If segment ab is congruent to segment bc then angle a is congruent to angle c by what?
Wiki User
∙ 7y ago
true
just trying to help
Add your answer:
Earn +20 pts
How is segment AB congruent to segment BC in a rectangle?
if it is a square
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.
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.
How can you prove a triangle ABC is isosceles if angle BAD is congruent to angle CAD and line AD is perpendicular to line Bc?
Given: AD perpendicular to BC; angle BAD congruent to CAD Prove: ABC is isosceles Plan: Principle a.s.a Proof: 1. angle BAD congruent to angle CAD (given) 2. Since AD is perpendicular to BC, then the angle BDA is congruent to the angle CDA (all right angles are congruent). 3. AD is congruent to AD (reflexive property) 4. triangle BAD congruent to triangle CAD (principle a.s.a) 5. AB is congruent to AC (corresponding parts of congruent triangles are congruent) 6. triangle ABC is isosceles (it has two congruent sides)
What are congruence statements for triangels?
Triangle ABC is congruent to triangle XYZ if AB=XY, BC=YZ, and CA=ZX. Also angle A=angle X, angle B=angle Y, and angle C= angle Z.
How is segment AB congruent to segment BC in a rectangle?
if it is a square
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.
What else would need to be congruent to show that abc xyz by sas?
Line segment BC is congruent to Line Segment YZ
In the parallelogram ABCD name three pairs of congruent angles and three pairs of congruent sides?
If the parallelogram is a square then angle A is congruent to angle B ,is congruent to angle C. AB is congruent to BC is congruent to CD.
Do angles abc make a right angle?
Angle abc will form a right angle if and only if, segment ab is perpendicular to segment bc.
What are congruence theorems and postulates?
If the sides AB, BC and CA of triangle ABC correspond to the sides DE, EF and FD of triangle DEF, then the two triangles are congruent if:AB = DE, BC = EF and CA = FD (SSS)AB = DE, BC = EF and angle ABC = angle DEF (SAS)AB = DE, angle ABC = angle DEF, angle BCA = angle EFD (ASA)If the triangles are right angled at A and D so that BC and EF are hypotenuses, then the triangles are congruent ifBC = EF and AB = DE (RHS)BC = EF and angle ABC = angle DEF (RHA).
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.
Prove that equilateral triangles are equiangular?
Statement Reason1. triangle ABC is equilateral..............................................given2. AC is congruent to BC;AB is congruent to AC........................................definition of equilateral3. angle A is congruent to angle B;and B is congruent to angle C.............................Isosceles Theorem4. angle A is congruent to angle C..................Transitive Property of Congruence5. triangle ABC is equiangular...............................Definition of equiangular
How can you prove a triangle ABC is isosceles if angle BAD is congruent to angle CAD and line AD is perpendicular to line Bc?
Given: AD perpendicular to BC; angle BAD congruent to CAD Prove: ABC is isosceles Plan: Principle a.s.a Proof: 1. angle BAD congruent to angle CAD (given) 2. Since AD is perpendicular to BC, then the angle BDA is congruent to the angle CDA (all right angles are congruent). 3. AD is congruent to AD (reflexive property) 4. triangle BAD congruent to triangle CAD (principle a.s.a) 5. AB is congruent to AC (corresponding parts of congruent triangles are congruent) 6. triangle ABC is isosceles (it has two congruent sides)
What are congruence statements for triangels?
Triangle ABC is congruent to triangle XYZ if AB=XY, BC=YZ, and CA=ZX. Also angle A=angle X, angle B=angle Y, and angle C= angle Z.
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
