Name: Reflection in a Plane Mirror
Uploaded: 2019-07-19
Duration: 10 min 36 s
Description: We learned about understanding the properties of images formed in plane mirrors. In this video, we will verify them while learning how to produce ray diagrams for the images.

Question

Draw a triangle with exactly one line of symmetry. What type of triangle is it?

Accepted Answer

Given,

We need to draw a triangle with exactly one line of symmetry.

We know that a figure is symmetrical if the line that passes through the figure divides the figure into two identical halves and the two halves should coincide with each other.

For a triangle, the line of symmetry goes through the vertex. To find the triangle that has exactly one line of symmetry, the two sides that meet at the vertex from where the line of symmetry is to be drawn should have the same length.

A line of symmetry for a triangle must go through one vertex. The two sides meeting at that vertex must be the same length in order for there to be a line of symmetry. When the two sides meeting at a vertex have the same length, the line of symmetry through that vertex passes through the midpoint of the opposite side.

We know that in an isosceles triangle, two sides are of same lengths.

Hence, the triangle with exactly one line of symmetry is an isosceles triangle.

Draw a triangle with exactly one line of symmetry. What type of triangle is it?

Important Questions on Symmetry

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