Question

delta math 5.4 due: september 30 at 8:30 am grade: 11% rectangle/parallelogram identify quadrilaterals from coordinates (level 1) identify quadrilaterals (basic) identify quadrilaterals (level 1) parallelogram properties - scientific calculator graphing calculator aiden flores log out find the desired slopes and lengths, then fill in the words that best identifies the type of quadrilateral. answer attempt 1 out of 2 slope of (overline{op}=\frac{2}{6}) length of (overline{op}=)

Explanation:

Step1: Recall slope formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Assume $O=(0,0)$ and from the graph, if we can determine the coordinates of $P$. Let's say $P=(x,y)$. The given slope $\frac{2}{6}=\frac{1}{3}$ is correct if calculated properly using the formula.

Step2: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. For points $O(0,0)$ and $P(x,y)$, the length of $\overline{OP}=\sqrt{x^{2}+y^{2}}$. Suppose from the graph $P=(6,2)$ (since slope from $O(0,0)$ to $P$ is $\frac{2 - 0}{6 - 0}=\frac{1}{3}$), then $d=\sqrt{(6 - 0)^2+(2 - 0)^2}=\sqrt{36 + 4}=\sqrt{40}=2\sqrt{10}$.

Answer:

length of $\overline{OP}=2\sqrt{10}$