(a)
To find: The sketch for
(a)
Answer to Problem 41PPS
The sketch for triangle XYZ on coordinate plane is shown in figure 1.
Explanation of Solution
Given:
The coordinate of the triangle is given as,
Calculation:
The sketch for triangle XYZ on coordinate plane is shown in below figure.
Figure 1
Thus, the sketch for triangle XYZ on coordinate plane is shown in figure 1.
(b)
To find: The midpoint of the coordinates of triangle.
(b)
Answer to Problem 41PPS
The midpoint of the coordinates of triangle is (6, 0), (1, -2) and (-1, 7).
Explanation of Solution
Given:
The coordinate of the triangle is given as,
Calculation:
The coordinates of the mid-point for side XY is calculated as,
The coordinates of the mid-point for side YZ is calculated as,
The coordinates of the mid-point for side ZX is calculated as,
Thus, the midpoint of the coordinates of triangle is (6, 0), (1, -2) and (-1, 7).
(c)
To find: The perimeter of XYZ and EFG
(c)
Answer to Problem 41PPS
The perimeter of XYZ is
Explanation of Solution
Given:
The coordinate of the triangle is given as,
Calculation:
Calculate the distance XY using the distance formula.
Calculate the distance YZ using the distance formula.
Calculate the distance ZX using the distance formula.
Calculate the distance EF using the distance formula.
Calculate the distance FG using the distance formula.
Calculate the distance ZX using the distance formula.
Thus, the perimeter of XYZ is
(d)
To find: The comparison of the perimeter with (c)
(d)
Answer to Problem 41PPS
The perimeter of triangle XYZ is twice of the perimeter of triangle EFG.
Explanation of Solution
Given:
The coordinate of the triangle is given as,
Calculation:
Calculate the perimeter.
From above, the perimeter of triangle XYZ is twice of the perimeter of triangle EFG.
Thus, the perimeter of triangle XYZ is twice of the perimeter of triangle EFG.
Chapter 10 Solutions
Algebra 2
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