Question

2-10. camille loves guessing games. she is going to tell you a fact about her shape to see if you can guess what it is. a. “my triangle has only one line of symmetry. what is it?” b. “my triangle has three lines of symmetry. what is it?” c. “my quadrilateral has no lines of symmetry but it does have rotation symmetry. what is it?”

Explanation:

Step1: Recall triangle symmetry properties

An isosceles triangle has one line of symmetry. It can be folded along the line that bisects the angle between the two equal - length sides.

Step2: Recall equilateral triangle properties

An equilateral triangle has three lines of symmetry. Each line bisects an angle and is also the perpendicular bisector of the opposite side.

Step3: Recall quadrilateral symmetry properties

A parallelogram has no lines of symmetry (in general) but has a rotation symmetry of 180 degrees about the point of intersection of its diagonals.

Answer:

a. Isosceles triangle
b. Equilateral triangle
c. Parallelogram