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Are the perimeters equal if two triangles are congruent?
Yes
Are two rectangles with equal perimeters always congruent?
No
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
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 congruent triangle?
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
Are the perimeters equal if two triangles are congruent?
Yes
Are two rectangles with equal perimeters always congruent?
No
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
What is c.p.c.t?
Corresponding Parts of Congruent Triangles is the full form od CPCT.
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 congruent triangle?
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
A type of triangle with no equal sides?
There are three types of triangles. Scalene triangles have no congruent sides or angles, equilateral triangles have 3 congruent sides and 3 60degree angles, and isosceles triangles have two congruent sides and two congruent angles.
The sum of the perimeters of two congruent triangles is three times the perimeter of the first triangle?
Let's denote the perimeter of the first triangle as P. Since the triangles are congruent, the perimeter of the second triangle is also P. The sum of their perimeters is then 2P. According to the given statement, this sum is three times the perimeter of the first triangle. So we have the equation 2P = 3P. Simplifying, we find that P = 0, which is not a valid solution. Therefore, there is no triangle for which the sum of the perimeters of two congruent triangles is three times the perimeter of the first triangle.
Are triangles congruent if so how do you know?
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 divides a parallelogram into two congruent triangles?
The diagonal of a parallelogram divides it into two congruent triangles. This is because the diagonal creates two pairs of congruent triangles by dividing the parallelogram into two equal halves.
Can two non congruent triangles have equal areas?
Yes
Are two triangles with three sides equal congruent?
Yes
