Question

quiz 8.7.3: coordinate geometry with polygonsquestion 1give the coordinates of point a.a. $(-2, 6)$b. $(6, 2)$c. $(-2, -6)$d. $(2, 6)$question 2how do you know if two line segments are parallel?a. their slopes are equal.b. their slopes are reciprocals.c. their slopes are negative reciprocals.d. the slope of one line is the negative of the slope of the other.question 3how do you know if two line segments are perpendicular?a. their slopes are equal.b. their slopes are negative reciprocals.c. the slope of one is the negative of the slope of the other.d. their slopes are reciprocals.question 4what is the slope formula?a. $\frac{x_2 - x_1}{y_2 - y_1}$b. $\frac{x_2 + x_1}{y_2 + y_1}$c. $\frac{y_2 - y_1}{x_2 - x_1}$d. $\frac{y_2 - x_1}{x_2 - y_1}$

Explanation:

1. For Question 1: On the coordinate plane, point A is 2 units right on the x-axis and 6 units up on the y-axis, so its coordinates are (2,6).
2. For Question 2: Parallel lines have identical slopes, meaning their rate of vertical change over horizontal change is the same.
3. For Question 3: Perpendicular lines have slopes that are negative reciprocals, so multiplying their slopes gives -1.
4. For Question 4: The slope formula calculates the vertical change divided by the horizontal change between two points $(x_1,y_1)$ and $(x_2,y_2)$.

Answer:

1. D. (2, 6)
2. A. Their slopes are equal.
3. B. Their slopes are negative reciprocals.
4. C. $\frac{y_2 - y_1}{x_2 - x_1}$