Determine whatever each pair if figures is similar. If so, write the similarity statement and scale factor. If not, explain your reasoning.

nagasenaz
2021-07-31
Answered

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wornoutwomanC

Answered 2021-08-01
Author has **81** answers

Step 1

Given,

$\mathrm{\u25b3}KLM$

with angles$90}^{\circ},{48}^{\circ}\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}{42}^{\circ$

and sides KL=7.4, ML=11 and KM=8.2

$\mathrm{\u25b3}WYZ$

with angles$90}^{\circ},{51}^{\circ}\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}{39}^{\circ$

and sides WY=6.4, YZ=4 and WZ=5

We have to find the similarity between the$\mathrm{\u25b3}KLM\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}\mathrm{\u25b3}WYZ$ and scale factor

Step 2

We know

In similar triangles , all the three angles are same

We have

$\mathrm{\u25b3}KLM$ with angles $90}^{\circ},{48}^{\circ}\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}{42}^{\circ$

and

$\mathrm{\u25b3}WYZ$ with angles $90}^{\circ},{51}^{\circ}\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}{39}^{\circ$

So,

All the angles are not same .

Then,

$\mathrm{\u25b3}KLM\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}\mathrm{\u25b3}WYZ$ are not similar.

Given,

with angles

and sides KL=7.4, ML=11 and KM=8.2

with angles

and sides WY=6.4, YZ=4 and WZ=5

We have to find the similarity between the

Step 2

We know

In similar triangles , all the three angles are same

We have

and

So,

All the angles are not same .

Then,

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