Q: Can A triangle can only have two congruent angles true or false?

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No, none of the sides or angles are congruent in a scalene triangle. All three sides (and all three angles) are congruent only in an equilateral triangle.

How about an isosceles triangle of which 2 of its 3 sides are congruent and 2 of its 3 angles are congruent

No. The only requirement for a triangle to be a 45-45-90 triangle is for it to have at least two congruent sides/angles. The measure of the two congruent angles can be anything.

No, only two. An equilateral triangle has 3 though.

If three angles of one triangle are congruent to three angles of another triangle then by the AAA similarity theorem, the two triangles are similar. Actually, you need only two angles of one triangle being congruent to two angle of the second triangle.

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yes, only the isosceles triangle has two congruent angles. But triangles don't need any congruent angles

In an isosceles triangle 2 sides are congruent and 2 angles are congruent. In an equilateral triangle all 3 sides are congruent and all 3 angles are congruent also.

no because if an scalene triangle had 2 congruent angles it wouldn't be a scalene it would be a isosceles triangle because an isosceles triangle is the only triangle with 2 congruent angles

No, none of the sides or angles are congruent in a scalene triangle. All three sides (and all three angles) are congruent only in an equilateral triangle.

How about an isosceles triangle of which 2 of its 3 sides are congruent and 2 of its 3 angles are congruent

How about an isosceles triangle of which 2 of its 3 sides are congruent and 2 of its 3 angles are congruent

That may vary. The only requirement for being called "isosceles triangle" is that two of the angles are congruent. (This is equivalent to the statement that two of the sides are congruent.)That may vary. The only requirement for being called "isosceles triangle" is that two of the angles are congruent. (This is equivalent to the statement that two of the sides are congruent.)That may vary. The only requirement for being called "isosceles triangle" is that two of the angles are congruent. (This is equivalent to the statement that two of the sides are congruent.)That may vary. The only requirement for being called "isosceles triangle" is that two of the angles are congruent. (This is equivalent to the statement that two of the sides are congruent.)

No. The only requirement for a triangle to be a 45-45-90 triangle is for it to have at least two congruent sides/angles. The measure of the two congruent angles can be anything.

No, only two. An equilateral triangle has 3 though.

Yes. Only if the other two angles of the right triangle are congruent and each equal 45 degrees. Then using the isosceles triangle theorem, you know that the two sides opposite the angles are congruent.

If three angles of one triangle are congruent to three angles of another triangle then by the AAA similarity theorem, the two triangles are similar. Actually, you need only two angles of one triangle being congruent to two angle of the second triangle.

Yes they are. Or they could have three pairs of congruent sides, or they could have one pair of congruent angles and two pairs of sides. As far as a triangle goes, if you have at least three pairs of congruent sides or angles they are congruent. This answer is wrong. The triangles are only similar. For congruent trisngles we have the following theorems = Side - side - side, Side - Angle - side , Angle - angle - side, Right triangle - hypotenuse - side.