Q: The SAS Similarity Theorem states that if an angle of one triangle is congruent to an angle of another triangle, and if the lengths of the sides including these angles are proportional, then the trian?

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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.

When all of their corresponding angles are congruent (in any triangle, in fact) then the triangles are similar. Similarity postulate AAA. (angle-angle-angle)

No, An equilateral triangle has 3 congruent angles, an isosceles triangle has 2 congruent angles, a scalene triangle has no congruent angles.

Side Angle Side is a method of determining a unique triangle. Any triangle can be congruent to another if the sides are proportional and the angles are the same.Yes. If you draw the 2 sides with the angle between, there is no alternative to the way you can finish off the triangle. Try it for yourself.

if it has one congruent side it is a scalene triangle. if it has a pair of congruent sides it is an isosceles triangle. if all the sides are congruent it is an equilateral triangle

Related questions

proportional /congruent

SSS Similarity, SSS Similarity Theorem, SSS Similarity Postulate

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.

isoceles triangle

The AA similarity theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. This theorem is based on the Angle-Angle (AA) postulate, which states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

The AA similarity postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. However, the AA congruence postulate is not needed because knowing two angles of one triangle are congruent to two angles of another triangle doesn't guarantee that the triangles are congruent, as the side lengths can still be different.

The fact that corresponding angles are congruent does not require corresponding sides to be proportional - except in the case of a triangle. For quadrilaterals, think of a square and rectangle.

If the 3 sides are proportional by ratio and the angles remain the same then the two triangles are similar

When all of their corresponding angles are congruent (in any triangle, in fact) then the triangles are similar. Similarity postulate AAA. (angle-angle-angle)

No, An equilateral triangle has 3 congruent angles, an isosceles triangle has 2 congruent angles, a scalene triangle has no congruent angles.

Side Angle Side is a method of determining a unique triangle. Any triangle can be congruent to another if the sides are proportional and the angles are the same.Yes. If you draw the 2 sides with the angle between, there is no alternative to the way you can finish off the triangle. Try it for yourself.

if it has one congruent side it is a scalene triangle. if it has a pair of congruent sides it is an isosceles triangle. if all the sides are congruent it is an equilateral triangle