Two vertices of a triangle lie on a line. The third vertex belongs to a line that is parallel to the given one. What
can you say about the area of the triangle if you change the position
of the third vertex along the parallel line. Make a model with elastics
on a geoboard and explain

x=6 and x=3

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x + 4/7

step-by-step explanation:

use cymath

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc