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Choose the best response to fill in the blank Congruent triangles will have the same A shape B angles and side lengths C vertices and angles D angles E verti?
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You can build two triangles that have the same side lengths but are not congruent.?
No, triangles with the same side lengths are always congruent.
If two triangles have the same side lengths then the triangles are?
They are congruent.
If the corresponding side lengths of two triangles are congruent the corresponding angles are also congruent.?
False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.
What conditions will ensure that two isosceles triangles are congruent?
The triangles have the same side lengths.
Do all triangles with same side lengths have the same area?
Only if they are congruent triangles
Triangles are congruent if they have the same what?
Triangles are congruent if the lengths of their corresponding sides as well as the measures of their corresponding angles are the same.
You can build two triangles that have the same side lengths but are not congruent.?
No, triangles with the same side lengths are always congruent.
If two triangles have the same side lengths then the triangles are?
They are congruent.
If the corresponding side lengths of two triangles are congruent the corresponding angles are also congruent.?
False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.
Choose the best response to fill in the blank Congruent triangles will have the same?
Angles and side lengths -Juju Apex Checks
If two triangles have three pairs of congruent angles then the triangles are not guaranteed to be congruent?
Correct. Congruency means that two triangles have three pairs of congruent angles and corresponding sides of the same lengths. A pair of triangles with three pairs of congruent angles but sides of different lengths are similar, not congruent.
What conditions will ensure that two isosceles triangles are congruent?
The triangles have the same side lengths.
Do all triangles with same side lengths have the same area?
Only if they are congruent triangles
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.
If two triangles are similar are they congruent?
no: if you have two triangles with the same angle measurements, but one has side lengths of 3in, 4in, and 5in and the other has side lengths of 6in, 8in, and 10in, then they are similar. Congruent triangles have the same angle measures AND side lengths.
Which explains why AAA is not enough to prove two triangles congruent?
Two triangles with three congruent angles may have different side lengths.
Two triangles that have the same side lengths will always be congruent?
True
