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Which type of triangle will always have at least 1 -fold reflectional symmetry? right triangle obtuse triangle acute triangle isosceles triangle

Ask by Bolton Moreno. in the United States
Jan 23,2025

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Answer

An isosceles triangle always has at least one line of reflectional symmetry.

Solution

The correct answer is **isosceles triangle**. **Explanation:** - **Isosceles Triangle:** By definition, an isosceles triangle has at least two sides that are equal in length. This equality ensures that there is a line of symmetry that bisects the angle between the two equal sides, creating two mirror-image halves. Therefore, every isosceles triangle has at least one line of reflectional symmetry. - **Right Triangle:** Only isosceles right triangles have reflectional symmetry. A general right triangle (scalene right triangle) does not necessarily have any line of symmetry. - **Obtuse Triangle:** These triangles do not inherently possess any symmetry unless they are isosceles. - **Acute Triangle:** Similar to obtuse triangles, acute triangles do not inherently have any line of symmetry unless they are isosceles. **Conclusion:** Among the given options, only isosceles triangles are guaranteed to always have at least one line of reflectional symmetry. **Answer:** isosceles triangle

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Isosceles triangles are the champions of reflectional symmetry! No matter what, they will always have at least one line of symmetry that runs down the height, splitting the triangle into two equal halves. This makes them look elegant and balanced, a perfect reflection of their name! On the flip side, right triangles, obtuse triangles, and acute triangles may not always boast this symmetrical flair. While some of them could have neat properties in specific cases (like certain right triangles), they're often asymmetrical and do not guarantee that lovely fold of symmetry found in isosceles triangles. So, if you're looking for a triangle that’s always symmetric, isosceles is your go-to!

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