Question

13) Which of the following algebraic representations would result in a reduction dilation?A. (x,y) → x,y)C. (x,y) →x,0.75y)AnswerB. (x,y) → (-2x.-2y)D. (x,y) →x,y)acxiy) (tx, tyTriangles JKN and MKL are shown below.KMN14) Which of the following congruency statements is true about the two triangles?Angwer BA. L and ZN ZM B. ZNZL and ZK-ZK2N and CL areCongruentC. ZNZL and ZMD. UN and ZMZL Eck and Zk aze congruen15) Are triangles JKN and MKL similar?Yes16) If you answered YES for question 15, explain how you know they are similar. If you answered NO forquestion 15, explain how you know they are not similar.

Answer 1

16) We know that the triangles are similar because the three angles are equal in both triangles:

The angles in K are opposite by the vertex, so they are equal.

We also know that angles L and N are equal too.

By the rule of the sum of the angles in a triangle, we know that the third angle has to be equal.

Also, the side opposite to the angle N and L in each triangle have the same measure, so we can conclude that the triangles are similar.