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Are two isosceles right triangles always similar?
No
If the vertex angles of two isosceles triangles are congruent are the triangles always similar?
Yes, they are.
Do all triangles have two acute angles?
INCORRECT: No because there is a obtuse triangle and a right triangleCORRECT ANSWERYes all triangles have at least two acute angles. Obtuse triangles and right triangles also have at least two acute angles. They are called obtuse triangles and right triangles because by definition they are triangles with ONE obtuse angle and ONE right angle. So therefore they both have 2 acute angles. Also for an acute triangle, it would have 3 acute angles.
Are similar triangles always congruent?
No, congruent triangles are always similar but similar triangles and not always congruent. Imagine that similar triangles can be created on a copy machine enlarge and shrink the image, turn it, even turn it over, the angles remain the same. A congruent triangle must be exactly the same as the original. Hope this helps!
Does an acute triangle have obtuse angles?
No, an obtuse triangles has one obtuse angle and two acute angles. If a triangle has an obtuse angle, it is considered obtuse and cannot be acute.
