Question

GEOMETRY - triangle similarity

Answer 1

1) tri ABC ~ tri DEF

2) angle B ~ angle E

3) x= 4.5

4) ?= BC

Explanation:

hi! a note: pls let me know if any of the answers are wrong ! i want anyone to have a wrong answer because of me thank u vm! (obviously, my explanations are not the official mathematical explanations)

1) I just matched up the letters, A to D, B to E, C to F

You can also use ratios, but if you dont need an explanation then ignore it.

2) matched up the angles: B corresponds to E

3) Ratio: 6/16 = x/12

16x = 72 cross multiply

x = 4.5

4) Again, just match up the sides

BC corresponds to EF

hope this helps :D best of luck

Answer 2

ΔABC ≈ ΔDEF

∡B ≅ ∡E

x = 4.5

BC is similar to EF

Explanation:

to find 'x':

6/16 = x/12

16x = 72

x = 4.5