Question

follow the guided instructions below to rotate the figure 90° clockwise about the origin. now draw a line through the yellow center that is perpendicular to the line that you just drew. answer attempt 1 out of 2 you must answer all questions above in order to submit.

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree clockwise rotation about the origin is $(x,y)\to(y, - x)$.

Step2: Apply rule to triangle vertices

Let the vertices of the triangle be $(x_1,y_1),(x_2,y_2),(x_3,y_3)$. After rotation, they become $(y_1,-x_1),(y_2,-x_2),(y_3,-x_3)$. Plot these new - vertex points and draw the rotated triangle.

Step3: Recall perpendicular line property

Two lines are perpendicular if the product of their slopes is - 1. If the slope of the first - drawn line is $m_1$, the slope of the perpendicular line $m_2=-\frac{1}{m_1}$.

Step4: Draw perpendicular line

Using the slope and the yellow - center point (origin in this case), draw a line with the calculated slope passing through the origin.

Answer:

Follow the above steps to rotate the triangle 90 degrees clockwise about the origin and then draw the perpendicular line through the origin.