Question

HELPPPPP ASAP Triangle BAC was dilated from triangle BDE at a scale factor of 2. What proportion proves that tan angle D = tan angle A

Answer 1

Answer:

3/2 = 6/4

Step-by-step explanation:

Given that ∆BDE ~ ∆BAC by dilation of a scale factor of 2, it means therefore that:

BA/BD = BC/BE = AC/DE = 2

BD = 2

BA = 2*BD = 2*2 = 4

BE = 3

BC = 2*BE = 2*3 = 6

DE = 3.61

AC = 2*DE = 2*3.61 = 7.22

Also:

<D = <A,

<E = <C

=>Find tan <D, and tan <A using trigonometric function to determine which proportion gives us tan<D = tan<A

Tan<D = opposite/adjacent

Tan<D = BE/BD

Tan<D = 3/2

Tan<A = opposite/adjacent

Tan<A = BC/BA

Tan<A = 6/4 = 3/2

Therefore, the proportion that proves that tan<D = tan<A is:

BE/BD = BC/BA = 3/2 = 6/4

Answer 2

Answer: 3/2 = 6/4

Step-by-step explanation: Took the test and got it correct. You find the answer by finding the opposite over adjacent.