The graph of a triangle is shown below. Which of the following graphs shows a triangle that is similar to the triangle given in the graph above?

Question

graphing problem

 

 

Answer 1

Hello, Keily,

    I don't see the graph.  However, similar means that the two triangles have corresponding angles and sides.  They do not have to be equal (congruent) in size.  For example,

10 ⁄               \

  ⁄                  \                 2  ⁄         \

∠70____ ___80\                ∠70___80\          

       20 ft.                              4 ft.

 

Suppose this example shows two similar triangles. Their sides correspond in that there is a relationship.  The larger triangle is 5 times bigger than the smaller one.     For example,  5 (4)= 20   base is corresponding to base.

5(2)=10   Same side on one triangle is corresponding to same side on the other triangle.  Corresponding angles on the same side of each triangle are equal.             I hope this example helps.  Susan C.