Ms. Morales showed her geometry student the figure below and told them that DE BC. She asked them to use this information to prove that DE divides AB and AC proportionally. Hannah used the midpoint formula to show that AD=DB and AE=EC. Jaden uses the slope formula to prove that DE and BC have equal slopes. Omar used the distance formula to show that AD/DB=AE/EC. Which student or students used a formula that will help them prove the relationship?

Question

contestada

Respuesta :

shayshayrozier13 shayshayrozier13 · Answer 1 · 2021-03-05T18:05:47+01:00

Answer: Hannah and Omar Only

Step-by-step explanation:

Self explanatory

Answer Link

psm22415 psm22415 · Answer 2 · 2022-02-26T08:22:39+01:00

Hannah and Omar Only used a formula that will help them prove the relationship.

A line drawn parallel to one side of a Δ divides the other two sides in the same ratio.

Given

To prove that DE divides AB and AC proportionally.

Construction: If DE is not parallel to BC, draw DF meeting AC at F.

Proof: In ΔABC, let DF || BC

[tex]\rm \dfrac{AD}{DB}=\dfrac{AC}{FC}\\\\[/tex]

A line drawn parallel to one side of a Δ divides the other two sides in the same ratio.

[tex]\rm \dfrac{AD}{DB}=\dfrac{AE}{EC}\\\\[/tex]

From (i) and (ii), we get

[tex]\rm \dfrac{AD}{DB}=\dfrac{AC}{FC}=\rm \dfrac{AE}{EC}\\\\[/tex]

Hence, Hannah and Omar Only used a formula that will help them prove the relationship.

To know more about proportionally click the link given below.

https://brainly.com/question/24937635