Copy of Unit 8 Study Guide 25-26

1

Are the paths from Emma's house to the pool and Anna's house to the treehouse perpendicular paths? Explain how you determined your answer.

yes, their slopes are opposite reciprocals

no, their slopes are not opposite reciprocals

1

What is the perimeter of the plot of land? Express your answer to the nearest tenth of a foot.

1

Luke plans to have a strong epoxy floor poured in the warehouse. He will cover the entire floor. How many square feet of flooring will need to be coated in epoxy?

1

1

Enter the EXACT perimeter of the square in simplest form.

1

Enter the EXACT area of the square in simplest form.

1

A triangle on the coordinate plane has points located at A(10,9), B(12,5), and C(8,5). What is the area of the triangle?

8 square units

10 square units

12 square units

24 square units

1

A triangle has vertices at A (-10,3), B (-8,-2) and C (-15,1). Classify the triangle by its sides and choose a response that explains why the triangle should use that classification.

The triangle is equilateral because it has three sides the same length

The triangle is isosceles because AB and AC have the same length

The triangle is scalene because AB and AC have the same length

The triangle is scalene because it has three sides of different length

Three coordinates of a rectangular city block are (5,4), (10,4), and (10,10) on a coordinate plane.

1

Part A: What is the fourth coordinate?

1

1

On parallelogram PQRS, if P is located at (-1,6) and S is located at (-7,-3), what is the slope of QR?

11/6

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On a map's coordinate grid, Walk City is located at (-1,-3) and Koshville is located at (4,9). How long is the train route if it travels along a straight line from Walk City to Koshville? (one map unit equals one mile)

19.8 miles

19.7 miles

197 miles

198 miles

1

Which is an equation of a line PARALLEL to the line whose equation is

2y - x = 5

x + 2y = 11

2x + y = 3

6x - 3y = -12

1

Determine if segments AB and CD are parallel, perpendicular, or neither.
,
AB formed by (-6,2) and (-2,4)
CD formed by (-1,11) and (5,-7)

neither

parallel

perpendicular

both parallel and perpendicular

1

Find the coordinates of A if M(-1,-2) is the midpoint of AB and B has a coordinates (4,3)

(7,4)

(3/2,1/2)

(2,-1)

(5/2, 5/2)

1

Line w is represented by this equation

Which of the following equation represents a line that is perpendicular to line w?

A parallelogram is show on this coordinate plane. 

1

What is the perimeter, in units, of the parallelogram?

1

Square ABCD has vertices at A(1,2) and B(3,-3). What is the slope of BC?

1

Write an equation of the line that is parallel to line f and passes through point P.

1

Write an equation of the line that is parallel to line g and passes through the point P.

1

Copy of Unit 8 Study Guide 25-26

Are the paths from Emma's house to the pool and Anna's house to the treehouse perpendicular paths? Explain how you determined your answer.

What is the perimeter of the plot of land? Express your answer to the nearest tenth of a foot.

Luke plans to have a strong epoxy floor poured in the warehouse. He will cover the entire floor. How many square feet of flooring will need to be coated in epoxy?

Enter the EXACT perimeter of the square in simplest form.

Enter the EXACT area of the square in simplest form.

A triangle on the coordinate plane has points located at A(10,9), B(12,5), and C(8,5). What is the area of the triangle?

A triangle has vertices at A (-10,3), B (-8,-2) and C (-15,1). Classify the triangle by its sides and choose a response that explains why the triangle should use that classification.

Part A: What is the fourth coordinate?

On parallelogram PQRS, if P is located at (-1,6) and S is located at (-7,-3), what is the slope of QR?

On a map's coordinate grid, Walk City is located at (-1,-3) and Koshville is located at (4,9). How long is the train route if it travels along a straight line from Walk City to Koshville? (one map unit equals one mile)

Which is an equation of a line PARALLEL to the line whose equation is

Determine if segments AB and CD are parallel, perpendicular, or neither. ,AB formed by (-6,2) and (-2,4)CD formed by (-1,11) and (5,-7)

Find the coordinates of A if M(-1,-2) is the midpoint of AB and B has a coordinates (4,3)

Line w is represented by this equationWhich of the following equation represents a line that is perpendicular to line w?

What is the perimeter, in units, of the parallelogram?

Square ABCD has vertices at A(1,2) and B(3,-3). What is the slope of BC?

Write an equation of the line that is parallel to line f and passes through point P.

Write an equation of the line that is parallel to line g and passes through the point P.

Jacob's house is located directly halfway between Anna's house and Emmas House. Which of the following points could represent Jacob's house

Find the distance between Anna's house and the tree house.

Are the paths from Emma's house to the pool and Anna's house to the treehouse perpendicular paths? Explain how you determined your answer.

What is the perimeter of the plot of land? Express your answer to the nearest tenth of a foot.

Luke plans to have a strong epoxy floor poured in the warehouse. He will cover the entire floor. How many square feet of flooring will need to be coated in epoxy?

Luke is planning to put a fence along two interior sides of the parking area. The sides are represented in the plan by the legs of the trapezoid. What is the total length of fence needed? Express your answer to the nearest tenth of a foot.

Luke is going to install a large industrial fan in the middle of his warehouse. What will be the coordinates of the center of the fan?

Enter the EXACT perimeter of the square in simplest form.

Enter the EXACT area of the square in simplest form.

A triangle on the coordinate plane has points located at A(10,9), B(12,5), and C(8,5). What is the area of the triangle?

A triangle has vertices at A (-10,3), B (-8,-2) and C (-15,1). Classify the triangle by its sides and choose a response that explains why the triangle should use that classification.

Part A: What is the fourth coordinate?

Part B: What is the perimeter of the shape in Part A?

On parallelogram PQRS, if P is located at (-1,6) and S is located at (-7,-3), what is the slope of QR?

On a map's coordinate grid, Walk City is located at (-1,-3) and Koshville is located at (4,9). How long is the train route if it travels along a straight line from Walk City to Koshville? (one map unit equals one mile)

Which is an equation of a line PARALLEL to the line whose equation is

Determine if segments AB and CD are parallel, perpendicular, or neither. ,AB formed by (-6,2) and (-2,4)CD formed by (-1,11) and (5,-7)

Find the coordinates of A if M(-1,-2) is the midpoint of AB and B has a coordinates (4,3)

Line w is represented by this equationWhich of the following equation represents a line that is perpendicular to line w?

What is the perimeter, in units, of the parallelogram?

Square ABCD has vertices at A(1,2) and B(3,-3). What is the slope of BC?

Write an equation of the line that is parallel to line f and passes through point P.

Write an equation of the line that is parallel to line g and passes through the point P.

Write an equation of the line that is perpendicular to line f and passes through point Q.

Write an equation of the line that is perpendicular to line g and passes through the point Q.

Jacob's house is located directly halfway between Anna's house and Emmas House. Which of the following points could represent Jacob's house

Find the distance between Anna's house and the tree house.

Luke is going to install a large industrial fan in the middle of his warehouse. What will be the coordinates of the center of the fan?

Part B: What is the perimeter of the shape in Part A?

Write an equation of the line that is perpendicular to line g and passes through the point Q.

Determine if segments AB and CD are parallel, perpendicular, or neither.
,
AB formed by (-6,2) and (-2,4)
CD formed by (-1,11) and (5,-7)

Line w is represented by this equation

Which of the following equation represents a line that is perpendicular to line w?

Determine if segments AB and CD are parallel, perpendicular, or neither.
,
AB formed by (-6,2) and (-2,4)
CD formed by (-1,11) and (5,-7)

Line w is represented by this equation

Which of the following equation represents a line that is perpendicular to line w?