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

Question

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

UpStudy AI · Accepted Answer

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

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

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