4 congruent triangles are joined together to form a quadrilateral. what quadrilateral is formed?
Question
4 congruent triangles are joined together to form a quadrilateral. what quadrilateral is formed?
Solution
The quadrilateral that is formed when four congruent triangles are joined together is a square. Here's the step-by-step explanation:
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First, understand that congruent triangles are triangles that have the same size and shape. This means that all their sides and angles are equal.
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If you join two congruent triangles at their base, you form a parallelogram. This is because the base angles of the triangles are equal, making the opposite sides of the parallelogram parallel and equal in length.
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If you join four congruent triangles, you essentially form two parallelograms. But since all the triangles are congruent, all sides of the resulting quadrilateral are equal in length.
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A quadrilateral with all sides equal in length and all angles equal (since all the base angles of the triangles are equal) is a square.
So, the quadrilateral formed by joining four congruent triangles is a square.
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