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ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
What else can I help you with?
How would you prove triangles are congruent?
You could prove two triangles are congruent by measuring each side of both triangles, and all three angles of each triangle. If the lengths of the sides are the same, and so are the angles, then the triangles are congruent... if not, then the triangles are not congruent. If the triangles have the exact same size and shape then they are congruent.
What does CPCTC mean in math terms?
CPCTC is an acronym for the phrase 'corresponding parts of congruent triangles are congruent' It means that once we know that two triangles are congruent, we know that all corresponding sides and angles are congruent.
What else must you know to prove the triangles congruent by SAS?
Nothing. If a side ,an angle, and a side are the same the triangles are congruent.
Are congruent triangles similar?
Yes, similar triangles are congruent because in order to be congruent they must first be equal. Which in turn is the definition of a similar triangle. A triangle equal in angle measurements and/or side lengths. So, yes.
Triangles that have their corresponding parts congruent?
Are congruent triangles.
When working with congruent triangles why is it only necessary to be given two pairs of congruent angles to know that all three pairs of angles will be congruent?
Because ALL triangles total 180o...
What postulate or theorem verifies the congruence of triangles?
sssThere are five methods for proving the congruence of triangles. In SSS, you prove that all three sides of two triangles are congruent to each other. In SAS, if two sides of the triangles and the angle between them are congruent, then the triangles are congruent. In ASA, if two angles of the triangles and the side between them are congruent, then the triangles are congruent. In AAS, if two angles and one of the non-included sides of two triangles are congruent, then the triangles are congruent. In HL, which only applies to right triangles, if the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent.
What are three ways that you can prove that triangles are congruent?
If triangles have the corresponding sides congruent then they are congruent. SSS If two triangles have two sides and an included angle congruent then they are congruent. SAS If two triangles have two angles and an included side congruent then they are congruent. ASA SSA doesn't work.
Is it true that two triangles have 3 pairs of congruent angles then the triangle are not guaranteed to be congruent?
When two triangles are congruent, there are 6 facts that are true about the triangles. The triangles have 3 sets of congruent (of equal length) sides and the triangles have 3 sets of congruent (of equal measure) angles.
What are the two properties of congruent triangles?
All the corresponding sides in congruent triangles are equal All the corresponding angles in congruent triangles are equal
Are two triangles are congruent if they have the same base?
No. All corresponding sides and angles have to be congruent for the triangles to be congruent.
If all corresponding sides and angles of two triangles are congruent those triangles are?
The triangles are also congruent.
