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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.
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How does sas theorem answer?
The SAS theorem is used to prove that two triangles are congruent. If the triangles have a side-angle-side that are congruent (it must be in that order), then the two triangles can be proved congruent. Using this theorem can in the future help prove corresponding parts are congruent among other things.
Is it possible to prove one pair of triangles congruent and then use their congruent corresponding parts to prove another pair congruent?
If I understand the question correctly, the answer is yes. Thanks to the transitive property of congruence.
What does angle angle side mean?
Angle Angle Side is a method one can use to prove that two triangles are congruent. Basically, if any two pairs of angles and the side between these angles are congruent, then the triangles are congruent as well.
How can you tell both shapes are similar?
to prove two triangles are similar, get 2 angles congruent
How do you Prove triangle ACD is congruent to triangle BDC?
Because Corresponding Parts of Congruent Triangles, there are five ways to prove that two triangles are congruent. Show that all sides are congruent. (SSS) Show that two sides and their common angle are congruent. (SAS) Show that two angles and their common side are congruent. (ASA) Show that two angles and one of the non common sides are congruent. (AAS) Show that the hypotenuse and one leg of a right triangle are congruent. (HL)
How can you use SSS with CPCTC?
You can prove that to triangles are congruent with SSS, then use CPCTC to prove that two corresponding angles of those triangles are congruent.
Why can't you use AAA to prove two triangles congruent?
You can't use AAA to prove two triangles congruent because triangles can have the same measures of all its angles but be bigger or smaller, AAA could probably be used to prove two triangles are similar not congruent.
what- If you are given or can prove that two triangles are congruent, then you may use CPCTC to prove that the angles or sides are?
congruent
How do you prove triangles are congruent?
you measure all the sides
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.
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.
How does sas theorem answer?
The SAS theorem is used to prove that two triangles are congruent. If the triangles have a side-angle-side that are congruent (it must be in that order), then the two triangles can be proved congruent. Using this theorem can in the future help prove corresponding parts are congruent among other things.
Which condition does not prove two triangles are congruent?
The colours of their sides.
Prove that the diagonals of rectangle are equal?
prove any two adjacent triangles as congruent
Which explains why AAA is not enough to prove two triangles congruent?
Two triangles with three congruent angles may have different side lengths.
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.
Which arrangement cannot be used to prove two triangles congruent?
SSA
