Graph a triangle ABC and perform a translation of (x + 4, y − 3) to create triangle A′B′C′. Describe the transformation using words. Make sure you refer to the characteristics and the coordinates. Draw a line through points A and A′ and through points B and B′. What do you notice about the lines you drew? Do you think you would notice the same characteristics if you drew another line through points C and C′? How do you know?

Give the equations of two different lines that are perpendicular to the line 3x + 4y = 7.

What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality

Graph the equation 8x - 4y = 56. then, trace the graph to find the missing value in the coordinate pairs below: (-10, 140 ) (0, ) (2, ) (4, ) ( , 0)