Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
Which formula would you use to determine if the diagonals of a kite are perpendicular?

Transcribed Image Text:Cio, 41
BI5,4)
d = Jx - x) + V2 - Yı).
%3D
In the figure at the right, the length of AB is
V(5-1) +(4-1) =4? +3
=5.
%3D
In the figure above right the length of BC is
/(5-0) + (4- 4) = 52 +0? =5.
So, AB = BC. The figure is an isosceles triangle.
To find the midpoint of a side or diagonal, use the Midpoint Formula.
X+ X2 Y1+ Y2
M =
2 2
(1+5 1+4
6 5
In the figure above, the midpoint of AB is
2 2
To determine whether line segments that form sides or diagonals are parallel
or perpendicular, use the Slope Formula.
m =
X2 - X
(4 –1) _ 3
(5-1) 4
In the figure at the right, the slope of AB is
ty
S(5, 6)
T(1, 3)
B(5, 4)
(6 – 3) 3
(5-1) 4
The slope of TS is
The line segments are
%3D
parallel.
A(1, 1)
Lines with equal slopes are parallel.
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