1. Use a piece of graph paper to plot three points to create a triangle. Name the points A, B and C. Choose a scale factor greater than 1 and draw a dilated image of the triangle. Name the corresponding vertices A', B' and C'. 1). Find the lengths of segments AB and A'B' using either the Pythagorean Theorem or the distance formula.
2). Show that the ratio of the lengths of the image and pre-image segments measured above correspond to the scale factor chosen.
3). Depending on whether or not the segments used to create the triangles pass through the center of dilation, describe the relationship between the three pairs of corresponding segments.

the answer is 96 degrees

step-by-step explanation:

you have to realize that a line equals 180 degrees

7

step-by-step explanation:

step-by-step explanation:

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