Core Connections Integrated II, 2015
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Core Connections Integrated II, 2015 View details
2. Section 7.2
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Exercise 96 Page 409

Practice makes perfect
a Let's first graph the given segment.
To determine the length of this segment we have to use the Distance Formula.
d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)
d = sqrt(( 5 - 1)^2 + ( 2 - 6)^2)
â–Ľ
Simplify right-hand side
d = sqrt(4^2 + (- 4)^2)
d = sqrt(4^2 + 4^2)
d = sqrt(16+16)
d = sqrt(32)
d = sqrt(16* 2)
d = sqrt(16)sqrt(2)
d = 4sqrt(2)
The segment's distance is 4sqrt(2) units.
b To reflect a point across the y-axis, we draw segments from the point towards and perpendicular to the y-axis.
By extending these segments to the opposite side of the y-axis and with the same length as the first, we have reflected the point across the y-axis.

The area of a trapezoid is calculated by multiplying its height with the sum of its parallel sides, divided by 2. A=1/2h(b_1+b_2) Let's identify these dimensions in ABB'A' and calculate the area.