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Help Dalton explain his work. Complete the paragraph.One way to show that FGHI is a rectangle is to show that all 4 of its angles are rightangles. So, I found the slope of each side. The slope of FG and IH wasTheslope of FI and GH wasThen I knew that ZF, LG, ZH, and ZI were all rightangles becauselines have

Help Dalton Explain His Work Complete The ParagraphOne Way To Show That FGHI Is A Rectangle Is To Show That All 4 Of Its Angles Are Rightangles So I Found The S class=

Sagot :

ANSWERS

...The slope of FG and IH was 4/5. The slope of FI and GH was -5/4. Then I knew that ∠F, ∠G, ∠H, and ∠I were all right angles because perpendicular lines have opposite reciprocal slopes.

EXPLANATION

The slope of a line is given by,

[tex]m=\frac{\Delta y}{\Delta x}[/tex]

For lines FG and IH, the slope is,

[tex]m_{FG}=m_{IH}=\frac{8}{10}=\frac{4}{5}[/tex]

Similarly, the slope of lines FI and GH is,

[tex]m_{FI}=m_{GH}=\frac{5}{-4}=-\frac{5}{4}[/tex]

Note that the slopes are opposite reciprocals, which makes each pair of lines perpendicular lines.

View image ToveU245914
View image ToveU245914
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