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A geometry student says; "I got lost in that lesson - I wrote down that AD/AB = AC/AB but I have no idea
where it comes from."
Which of the following should have been the proportion that the student wrote?
answer choices:
a) AD/AB=AB/AC
b) AD/AC=AB/AB
c) AB/AD=AB/AC
d) AB/AC=AB/AD

A geometry student says I got lost in that lesson I wrote down that ADAB ACAB but I have no idea where it comes from Which of the following should have been the class=

Respuesta :

Answer:

Therefore the choice is

a) AD/AB=AB/AC

Step-by-step explanation:

In  Δ ADB and Δ ABC  

∠A ≅ ∠A    …………..{Reflexive Property}

∠ ADB ≅ ∠ ABC      ..............{ measure of each angle is 90° given }

   

Δ ADB ~ Δ ABC ….{Angle-Angle  Similarity test}

If two triangles are similar then their sides are in proportion.

[tex]\frac{AD}{AB} =\frac{AB}{AC}\ \textrm{corresponding sides of similar triangles are in proportion}\\[/tex]  

Therefore the choice is

a) AD/AB=AB/AC

anastsa

Answer:

Therefore the choice is

a) AD/AB=AB/AC

Step-by-step explanation:

In  Δ ADB and Δ ABC  

∠A ≅ ∠A    …………..{Reflexive Property}

∠ ADB ≅ ∠ ABC      ..............{ measure of each angle is 90° given }

  Δ ADB ~ Δ ABC ….{Angle-Angle  Similarity test}

If two triangles are similar then their sides are in proportion.

Therefore the choice is

a) AD/AB=AB/AC

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