Question

Twiddle_de_dum

If ΔAED is dilated to points A, C, and B, which statement is true?
A) ΔAED ~ ΔACB
B) ΔAED ≅ ΔACB
C) The area of ΔAED is half the area of ΔACB
D) The perimeter of ΔAED is one-fourth the area of ΔACB

Answer 1

its a bc i hade this on a test and its a and i got it right so a.

Answer 2

I saw the image of the triangle. It is a right triangle.

AD is the long leg ; AE is the short leg ; DE is the hypotenuse

AD = 3 ; AE = 2 ; DE = 3.61 (use Pythagorean theorem)
Perimeter = 3 + 2 + 3.61 = 8.61

Area of a right triange = (3*2)/2 = 6/2 = 3 square unit

Dilated to ACB
AB is the long leg ; AC is the short leg ; BC is the hypotenuse
AB = 6 ; AC = 4 ; BC = 7.21
Perimeter = 6 + 4 + 7.21 = 17.21

Area of a right triangle = (6*4)/2 = 24/2 = 12 square unit