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Triangle KLM and triangle PRS are similar right triangles. Which

proportion can be used to show that the slope of KM is equal to the slope

of PS?


Ignore the extra writing, it’s just me struggling

Triangle KLM and triangle PRS are similar right triangles Which proportion can be used to show that the slope of KM is equal to the

Answer :

A proportion which can be used to show that the slope of KM is equal to the slope of PS is:

[tex]\rightarrow\boxed{\dfrac{\text{KL}}{\text{LM}} = \dfrac{\text{PR}}{\text{RS}}}[/tex]

What is a proportion?

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two ratios or slope. This ultimately implies that, proportions can be used to establish that two ratios are equivalent and solve for all unknown quantities.

How to calculate the slope of a line?

Mathematically, the slope of any straight line can be calculated by using this formula:

[tex]\text{Slope, m}=\dfrac{\text{Change in y}}{\text{Change in x}}[/tex]

[tex]\text{Slope, m}=\dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}[/tex]

Hence, we can reasonably infer and logically deduce that KL / LM = PR / RS is a proportion that can be used to indicate that the slope of line KM in triangle KLM is equal to the slope of line PS in triangle PRS.

Read more about slope at:

https://brainly.com/question/29883485

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