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What composition of transformations will create a pair of similar not congruent triangles?
Enlargements (or dilations) will create similar shapes.
Difference between similar triangles and congruent triangles?
Similar triangles are two triangles with three identical angles but not necessarily identical lengths but if they aren't identical they must have an identical scale factor for each side. Congruent triangle have identical angles and lengths but mat be rotated. on a similar triangle if one size gets bigger by two times the original all of them must be two times the original.
Are two equilateral triangles sometimes always or never similar to each other?
Since triangles have three sides and must have interior angles equal to pi or 180o, the three interior angles in all equilateral triangles will be pi/3 or 60o.However, equilateral triangles must also have equal side lengths. Since equilateral triangles with interior angles of 60o will not necessarily have the same side lengths, two equilateral triangles will sometimes be similar to each other.
Are all isosceles right triangles congruent?
Yes- but not all isosceles triangles are right triangles. Isosceles means that two sides are the same length, and two angles are the same.
Two right triangles that are not similar still may have one congruent acute angle in common?
Not so. The two acute angles of a right triangle must add up to 90 degrees.So if the triangles have one congruent acute angle in common, they must alsohave the other acute angle in common, and then they're similar.
