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Question 6 • CMS 2026-2027 NC Math 2 CREDIT RECOVERY

Which triangle has 0 reflectional symmetries?

Answer

Image with description A right triangle has a vertical left side, a horizontal bottom side, and a slanted side. The left side has double tick marks, the bottom side has one tick mark, and the slanted side has triple tick marks. A right-angle marker is shown at the lower-left angle, one arc mark is shown at the upper-left angle, and double arc marks are shown at the lower-right angle.

Image with description A triangle has all three sides marked with matching single tick marks. All three angles are marked with matching single arc marks.

Image with description A right triangle has a vertical left side, a horizontal bottom side, and a slanted side. The left side and bottom side have matching single tick marks, and the slanted side has double tick marks. A right-angle marker is shown at the lower-left angle, and matching arc marks are shown at the upper-left and lower-right angles.

Image with description A tall triangle has two slanted sides and a horizontal bottom side. The two slanted sides have matching single tick marks, and the bottom side has double tick marks. The top angle has double arc marks, and the two bottom angles have matching single arc marks.

Explanation

A triangle has a reflectional symmetry only if reflecting it across some line leaves it unchanged. In choice A, all three sides have different tick marks, so they have different lengths; the triangle is scalene and has no line of reflectional symmetry. Choices B, C, and D are equilateral or isosceles triangles, which have at least one reflectional symmetry.

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