Question

The statements below can be used to prove that the triangles are similar. YZ/BC=6/3,

a) YZ = 2BC
b) YZ = BC/2
c) YZ = 3BC/6
d) YZ = BC

Answer 1

To prove that the triangles are similar, the correct statement is YZ = 2BC.

To prove that the triangles are similar, we are given the ratio of their corresponding side lengths: YZ/BC = 6/3. To find the correct statement, we can cross-multiply the ratio, which means multiplying the numerator of one side (YZ) with the denominator of the other side (BC), and vice versa. Comparing the resulting equation with the given options, we can see that the correct statement is YZ = 2Bc

Answer 2

The correct statement based on the given proportion YZ/BC = 6/3 is that YZ = 2BC, since this simplifies to YZ being twice the length of BC. the correct answer is a)YZ = 2BC

Step-by-step explanation:

The question pertains to triangle similarity and involves the comparison of side lengths using a given proportion. The proportion states that YZ/BC = 6/3, which implies that YZ is twice the length of BC (since 6/3 simplifies to 2/1).

Therefore, the correct statement that can be derived from this proportion is YZ = 2BC. Other statements provided as options are incorrect because they either suggest a different proportional relationship or imply equal lengths, which do not align with the given proportion.the correct answer is a)YZ = 2BC