Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 5 points 1 how many lines of symmetry does the isosceles trian…

Question

question 5 points 1 how many lines of symmetry does the isosceles triangle have? 3 2 4 1

Explanation:

Step1: Recall the definition of an isosceles triangle

An isosceles triangle has at least two equal - length sides (the legs) and a base. The angles opposite the equal sides (the base angles) are equal.

Step2: Recall the definition of a line of symmetry

A line of symmetry is a line that divides a figure into two congruent halves, such that if you fold the figure along the line, the two halves match exactly.
For an isosceles triangle, we can draw a line from the vertex angle (the angle between the two equal sides) perpendicular to the base. This line will bisect the base and the vertex angle. When we fold the triangle along this line, the two equal - length sides (legs) will coincide, and the two base angles will coincide. There are no other lines that can divide the isosceles triangle into two congruent halves. For example, an equilateral triangle (a special case of an isosceles triangle with all sides equal) has 3 lines of symmetry, but a non - equilateral isosceles triangle has only 1.

Answer:

1 (the option with "1" as the content, i.e., the last option in the list of choices: 1)