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Why are triangles congruent that have three sides but the same is not true for triangles that have the same three angles?
The same three sides also determine the angles uniquely. However, the same three angles do not uniquely determine the sides: they only determine the ratio between the sides. So, two triangles with the same angles can be of different size (similar triangles).
What determines whether two shapes are similar?
the same number of sides and internal angles but not the length of the sides.
What is a polygon with all sides have the same measure all angles have the same measure with three sides?
Triangle
What shape has all three sides and angles of different sizes?
A scalene triangle is a triangle in which there are no sides or angles with the same measures.
What are the sides and angles of an equilateral traingle?
The three sides are the same length but that length can be anything you like. The angles are 60 degrees each.
What is the properties of equilateral triangle?
An equilateral triangle has three sides which are all of exactly the same length, and three internal angles which are all 60o.
Do congruent angles have the same side measure?
The sides are the same length and internal angles the same
Why are triangles congruent that have three sides but the same is not true for triangles that have the same three angles?
The same three sides also determine the angles uniquely. However, the same three angles do not uniquely determine the sides: they only determine the ratio between the sides. So, two triangles with the same angles can be of different size (similar triangles).
Why is rectangle not a square?
All squares are rectangles but not all rectangles are squares. A square has all sides the same length and all internal angles 90 degrees. A rectangle has opposite sides the same length and internal angles of 90 degrees.
What are the properties of a equalateral triangle?
All three sides are congruent (equal in length); all three angles are congruent (same measure).All three sides are congruent (equal in length); all three angles are congruent (same measure).All three sides are congruent (equal in length); all three angles are congruent (same measure).All three sides are congruent (equal in length); all three angles are congruent (same measure).
What determines whether two shapes are similar?
the same number of sides and internal angles but not the length of the sides.
What do quadrilaterals have that other shapes don't?
Four sides, four angles, the same sum for external and internal angles.
Does a polygon have more angles or sides explain?
A polygon has exactly the same number of both internal and external angles to the number of sides. Assuming external angles count, there are two times the number of sides as the total number of angles
What is a polygon with all sides have the same measure all angles have the same measure with three sides?
Triangle
What shape has all three sides and angles of different sizes?
A scalene triangle is a triangle in which there are no sides or angles with the same measures.
What are the sides and angles of an equilateral traingle?
The three sides are the same length but that length can be anything you like. The angles are 60 degrees each.
What is a polygon with all sides the same lengths and all angles the same measure with three sides?
An equilateral triangle
