Question

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

Answer 1

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.

Step-by-step explanation

The slope of a line is given by,

`m=(\Delta y)/(\Delta x)`

For lines FG and IH, the slope is,

`m_(FG)=m_(IH)=(8)/(10)=(4)/(5)`

Similarly, the slope of lines FI and GH is,

`m_(FI)=m_(GH)=(5)/(-4)=-(5)/(4)`

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