Question

Hiro is creating a larger scaled replica of a triangular canvas.

triangles ABE and ACD on a coordinate plane with point A at 1 comma 0, point C at 2 comma 3 and point D at 5 comma 0, point B is between points A and C and point E is between points A and D

Which of the following expressions will help him determine the length of segment AC?

AC = AD
AC = AB
AC equals AD times AB over AE
AC equals AD times AC over AB

Answer 1

Answer:

C - AC equals AD times AB over AE

Step-by-step explanation:

If Hiro is creating a larger scaled replica of a triangular canvas, then Hiro will get two similar triangles ABE (the small one) and ACD (the large one). Similar triangles have proportional corresponding sides, so

$\dfrac{AC}{AB}=\dfrac{AD}{AE}$

From this proportion:

$AC=\dfrac{AD\cdot AB}{AE}$

So, option C (AC equals AD times AB over AE) is correct option

Answer 2

Answer:

The answer is C

Step-by-step explanation:

I took the test and got it correct