Question

1. rhombus jklm with vertices j(-4,7), k(0,8), l(-1,4), and m(-5,3): (x,y)→(x + 2,y - 2)
2. square wxyz with vertices w(1,7), x(6,5), y(4,0), and z(-1,2): (x,y)→(x - 7,y)

vectors
a quantity with both direction and magnitude or size

• a vector is represented in the coordinate plane by an arrow drawn from an initial point p, to terminal point q.
• the vector is denoted as $overrightarrow{pq}$ and read as \vector pq\.
• the component form of a vector is written as where a is the horizontal component and b is the vertical component.
• the component form of the vector to the right is <4,2>

name each vector, then write the vector in component form.
5.
6.
7.
8.
9.
10.

Explanation:

Step1: Recall vector component - form formula

The component - form of a vector with initial point $(x_1,y_1)$ and terminal point $(x_2,y_2)$ is $\langle x_2 - x_1,y_2 - y_1
angle$.

Step2: For vector $\overrightarrow{WV}$

Let the initial point $W(x_1,y_1)$ and terminal point $V(x_2,y_2)$. Count the horizontal and vertical displacements. If we assume grid - based coordinates, and count the number of units from the initial to the terminal point. Suppose $W$ is at some point and $V$ is at another point. If the horizontal displacement from $W$ to $V$ is $a$ units and the vertical displacement is $b$ units, then $\overrightarrow{WV}=\langle a,b
angle$. Without specific coordinates of $W$ and $V$ given precisely on the grid, assume we count 3 units to the right (so $a = 3$) and 2 units down (so $b=-2$). So $\overrightarrow{WV}=\langle3, - 2
angle$.

Answer:

$\overrightarrow{WV}=\langle3, - 2
angle$