Show that triangle ABC is similar to triangle PQR by translating triangle ABC so that point B coincides with point Q. Find the scale factor that you need to use to dilate triangle A^ prime B^ prime C^ prime so that its image triangle A^ prime prime B^ prime prime C^ prime prime coincides with triangle PQR . What was the ordered pair rule you used? What technique could you use to find the center of dilation? You will explore more about finding the center of dilation in the performance task at the end of this lesson.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

77

step-by-step explanation: