Coordinate Algebra Practice EOCT Answers Unit 6.

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Coordinate Algebra Practice EOCT Answers Unit 6

#1 Unit 6 An equation of line a is Which is an equation of the line that is perpendicular to line a and passes through the point (–4, 0) ? A. B. y = 2x – 2 y = 2x + 8

y = 2x + 8 Find Equation y = mx + b 0 = 2(–4) + b 0 = –8 + b 8 = b #1 Unit 6 An equation of line a is Which is an equation of the line that is perpendicular to line a and passes through the point (–4, 0) ? Perpendicular lines have slopes that are negative reciprocals. Find Equation Negative Reciprocal slope y = mx + b 0 = 2(–4) + b 0 = –8 + b 8 = b y = 2x + 8

Unit 5 Parallelogram ABCD has vertices as shown. Which equation would be used in proving that the diagonals of parallelogram ABCD bisect each other? #2 Distance: (–1,4) & (1,0) Distance: (1,0) & (3,–4) C.   

Rewrite as a probability. #3 Unit 6 Given the points P(2, –1) and Q(–9, –6), what are the coordinates of the point on directed line segment that partitions PQ in the ratio ? Rewrite as a probability.

xm = r(x2 – x1) + x1 ym = r(y2 – y1) + y1 xm = (–9 – 2) + 2 #3 Unit 6 Given the points P(2, –1) and Q(–9, –6), what are the coordinates of the point on directed line segment that partitions PQ in the ratio ? xm = r(x2 – x1) + x1 ym = r(y2 – y1) + y1 xm = (–9 – 2) + 2 ym= (–6 – (–1)) + -1 xm = (–11) + 2 ym = (–5) + –1 xm = + 2 ym = –3 + –1 xm = ym = –4 xm = Answer: A

Slope (m) of side AC Slope (m) of side AB #4 Unit 6 Triangle ABC has vertices as shown. What is the area of the triangle? Slope (m) of side AC 4 3 –3 4 Slope (m) of side AB The slopes are negative reciprocals. So, sides AC and AB are perpendicular. Thus, ABC is a right triangle.

Triangle ABC has vertices as shown. What is the area of the triangle? #4 Unit 6 Triangle ABC has vertices as shown. What is the area of the triangle? ABC is a right triangle. Sides AC and AB are perpendicular. They are the legs of the right triangle. To find the base and height, find the lengths of sides AC and AB.

Triangle ABC has vertices as shown. What is the area of the triangle? #4 Triangle ABC has vertices as shown. What is the area of the triangle? Unit 6 Length of side AC Length of side AB

Answer: Area = 12 square units Triangle ABC has vertices as shown. #4 Triangle ABC has vertices as shown. What is the area of the triangle? Unit 6 Length of side AC Length of side AB Answer: Area = 12 square units