Determine whether the triangles are similar. If similar, state how ($\mathrm{\forall}\sim ,SSS\sim ,\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{or}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}SAS\sim$ ), and write a similarity statement.

Caelan
2021-08-05
Answered

Determine whether the triangles are similar. If similar, state how ($\mathrm{\forall}\sim ,SSS\sim ,\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{or}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}SAS\sim$ ), and write a similarity statement.

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Derrick

Answered 2021-08-06
Author has **94** answers

In $\mathrm{\u25b3}LNM\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}\mathrm{\u25b3}PNO$ :

$\frac{LM}{PO}=\frac{LN}{PN}$

$\frac{24}{15}=\frac{32}{20}$

$=\frac{8}{5}=\frac{8}{5}$

$\mathrm{\angle}LNM=\mathrm{\angle}PNO$ (Vertically opposite angle)

$\mathrm{\u25b3}LNM\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}\mathrm{\u25b3}PNO$ (By SAS similarity)

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a) If unit normal vector is $({a}_{1},{b}_{1},{c}_{1}),$ , then, how the point ${P}_{1}$ on the plane becomes $(D{a}_{1},D{b}_{1},D{c}_{1})?$ ?

b) If unit normal is $(1/3,2/3,2/3)$ then ${P}_{1}$ becomes $(2/3,4/3,4/3)$ Where $D=2.$ We know that normal vector began on the plane at point ${P}_{1}$ and ends at $(1/3,2/3,2/3).$ My questions is how unit normal vector coordinates value less than ${P}_{1}$ coordinates value, because unit normal vector pointing outside of the plane it should be greater coordinates value than ${P}_{1}$ ?

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