javamardifarahnaz javamardifarahnaz
  • 08-07-2021
  • Mathematics
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The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 2?

The table shows the proof of the relationship between the slopes of two perpendicular lines What is the missing statement in step 2 class=

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MrRoyal
MrRoyal MrRoyal
  • 13-07-2021

Answer:

[tex]\frac{AB}{BC} = \frac{CE}{ED}[/tex]

Step-by-step explanation:

Given

The attached proof

Required

Complete the missing piece

In (a), we have:

[tex]\triangle ABC \to \triangle CED[/tex]

This implies that, the following sides are similar:

[tex]AB \to CE[/tex]

[tex]AC \to CD[/tex]

[tex]BC \to ED[/tex]

An equation that compares the triangle can be any of:

[tex]\frac{AB}{BC} = \frac{CE}{ED}[/tex]

[tex]\frac{AB}{AC} = \frac{CE}{CD}[/tex]

.....

From the options;

[tex]\frac{AB}{BC} = \frac{CE}{ED}[/tex] is true

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