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What is transitive property of congruence?
The transitive property is if angle A is congruent to angle B and angle B is congruent to angle C, then angle A is congruent to angle C.
What is the Symmetric Property of Congruence?
The Symmetric Property of Congruence: If angle A is congruent to angle B, then angle B is congruent to angle A. If X is congruent to Y then Y is congruent to X.
Transitive property of congruence if a congruence x and t Then?
If angle A is congruent to angle B, then angle B is congruent to angle A.If X is congruent to Y then Y is congruent to X.
Can an angle be congruent to itself?
yes, always by ~ Ash
What is the Congruent supplement that states if two angles are supplementary to the same angle then they are congruent?
Supplementary Congruency Theorem
What is transitive property of congruence?
The transitive property is if angle A is congruent to angle B and angle B is congruent to angle C, then angle A is congruent to angle C.
What is the Symmetric Property of Congruence?
The Symmetric Property of Congruence: If angle A is congruent to angle B, then angle B is congruent to angle A. If X is congruent to Y then Y is congruent to X.
Transitive property of congruence if a congruence x and t Then?
If angle A is congruent to angle B, then angle B is congruent to angle A.If X is congruent to Y then Y is congruent to X.
Can an angle be congruent to itself?
yes, always by ~ Ash
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
What postulate states that two triangles are congruent if two sides and an included angle are congruent?
The SAS (Side-Angle-Side) postulate.
What do congruent supplement theorem mean?
The Congruent Supplement Theorem states that if two angles are supplementary to the same angle (or to congruent angles), then those two angles are congruent to each other. In other words, if angle A and angle B are both supplementary to angle C, then angle A is congruent to angle B. This theorem is useful in proving relationships between angles in geometric proofs.
What is the Congruent supplement that states if two angles are supplementary to the same angle then they are congruent?
Supplementary Congruency Theorem
What is the angle-angle-side rule?
Side-Angle-Side is a rule used in geometry to prove triangles congruent. The rule states that if two sides and the included angle are congruent to two sides and the included angle of a second triangle, the two triangles are congruent. An included angle is an angle created by two sides of a triangle.
The SAS Similarity Theorem states that if an angle of one triangle is congruent to an angle of another triangle, and if the lengths of the sides including these angles are proportional, then the trian?
congruent
Supplements of the same angle are congruent what's the best statement for reason 6 of this proof?
angle B and angle D are supplements, angle B is congruent to angle D, angle A is congruent to angle A, or angle A is congruent to angle C
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)
