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What must be shown to be congruent in order to say that the triangles are congruent by SAS?
Two sides and the included angle of one triangle must be congruent to two sides and the included angle of the other.
What must be true before using corresponding parts of congruent triangles are congruent in a proof?
The triangles must be congruent.
If any two sides and any angle are congruent in two triangles then the triangles must be congruent?
False
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.
To use the HL theorem to prove two triangles are congruent the triangles must be right trianglesWhich other conditions must also be met?
1. There are two right triangles. 2. They have congruent hypotenuses. 3. They have one pair of congruent legs.
What must be shown to be congruent in order to say that the triangles are congruent by SAS?
Two sides and the included angle of one triangle must be congruent to two sides and the included angle of the other.
What must be true before using corresponding parts of congruent triangles are congruent in a proof?
The triangles must be congruent.
If any two sides and any angle are congruent in two triangles then the triangles must be congruent?
False
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.
Similar triangles must have congruent angles and congruent sides?
False dood
To use the HL theorem to prove two triangles are congruent the triangles must be right trianglesWhich other conditions must also be met?
1. There are two right triangles. 2. They have congruent hypotenuses. 3. They have one pair of congruent legs.
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.
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.
To use the HL Theorem to prove two triangles are congruent the triangles must be right triangles. Which other conditions must also be met?
The two legs must be corresponding sides.
Are similar triangles always congruent?
No, congruent triangles are always similar but similar triangles and not always congruent. Imagine that similar triangles can be created on a copy machine enlarge and shrink the image, turn it, even turn it over, the angles remain the same. A congruent triangle must be exactly the same as the original. Hope this helps!
Are the two right triangles TRS and WUV congruent If so name the congruence postulate that applies?
To be congruent, the three angles of a triangle must be the same and the three sides must be the same. If triangles TRS and WUV meet those conditions, they are congruent.
If triangle ABC is congruent to triangle bcd then triangles ABC and bcd are what kinds of triangles?
The 2 triangles can be of any type (e.g isosceles, equilateral, etc.), only they must be exactly the same if they are congruent, i.e one triangle must be an exact copy of the other one.
