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What else can I help you with?
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 else would need to be congruent to show that abc is congruent to def by ASA?
"What else" implies there is already something that is congruent. But since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer. no correct
Is ABC DEF If so name the congruence postulate that applies.?
Yes, triangles ABC and DEF are congruent if all corresponding sides and angles are equal. The congruence postulate that applies in this case could be the Side-Angle-Side (SAS) postulate, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent. Other applicable postulates include Side-Side-Side (SSS) and Angle-Angle-Side (AAS), depending on the known measurements.
Is ABC equal to DEF if so what is the postulate that applies?
Yes, triangles ABC and DEF can be considered equal (congruent) if they meet specific criteria, such as having all corresponding sides and angles equal. The postulate that applies in this case is the Side-Side-Side (SSS) Congruence Postulate, which states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. Other applicable postulates include Side-Angle-Side (SAS) and Angle-Side-Angle (ASA), depending on the given information.
Frances drew ABC and DEF so that A D AB 4 DE 8 AC 6 and DF 12. Are ABC and DEF similar?
To determine if triangles ABC and DEF are similar, we can use the side lengths given. The ratios of the corresponding sides must be equal. For triangle ABC, the sides are AB = 4, AC = 6, and the unknown BC, while for triangle DEF, the sides are DE = 8, DF = 12, and the unknown EF. The ratio of AB to DE is 4/8 = 1/2, and the ratio of AC to DF is 6/12 = 1/2, which are equal. Therefore, triangles ABC and DEF are similar by the Side-Side-Side (SSS) similarity criterion.
How can you prove triangles ABC and DEF are congruent?
They are congruent when they have 3 identical dimensions and 3 identical interior angles.
Which property is illustrated by the following statement if ABC is congruent to def and def to xyz then ABC is congruent to xyz?
Transitive
If abc is congruent to def and mno is congruent to pqr then is abc congruent to pqr by the transitive property?
True, ABC is congruent to PQR by the transitive property.
What else need to be congruent that abc def by asa?
B e
How do you find a triangle congruent by cpctc?
A triangle if not found congruent by CPCTC as CPCTC only applies to triangles proven to be congruent. If triangle ABC is congruent to triangle DEF because they have the same side lengths (SSS) then we know Angle ABC (angle B) is congruent to Angle DEF (Angle E)
Is ABC congruent to DEF if so name the postulate that applies?
Congruent-SSS
Is ABC DEF If so name the postulate that applies.?
Nope Congruent - SSS Apex. You're welcome.
What else would need to be congruent to show that abc def by asa?
Angle "A" is congruent to Angle "D"
Based on the information marked in the diagram, ABC and DEF must be congruent. (Apex)?
True [APEX]
If ABC DEF which congruences are true by CPCTC?
Oh, dude, if ABC DEF, then congruences like angle A is congruent to angle D, angle B is congruent to angle E, and side AC is congruent to side DF would be true by CPCTC. It's like a matching game, but with triangles and math rules. So, just remember CPCTC - Corresponding Parts of Congruent Triangles are Congruent!
What coordinate for F would make triangle ABC and triangle DEF congruent?
It is the point (-2, -3).
What else would need to be congruent to show abc is congruent to def by AAS?
"What else" implies there is already something that is congruent. But since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.
