Shapes and the Coordinate Plane

Right triangle DEF has vertices at D (0, 0) and E (10, 0). Which best describes possible locations of point F?

• Any point on the line y = 10 except where x = 0

• Any point on the line y = 0 except where x = 10

• Any point on the line x = 10 except where y = 0

• Any point between D and E except where y = 0

Square TUVW on the coordinate plane has points T (0, 0), U (5, 5), and V (0, 10). What are the coordinates of point W?

• (5, -5)

• (-5, 5)

• (-5, -5)

• (10, 0)

Quadrilateral DEFT has vertices D (2, 7), E (-4, 4), F (5, -6), and T (11, -3). What is the best name for quadrilateral DEFT?

• trapezoid

• square

• parallelogram

• rectangle

Triangle BAT has points B (-3, 0), A (0, 3), and T (3, 0). Which of the following best describes triangle BAT?

• equilateral

• scalene, right

• isosceles, right

• isosceles, obtuse

Square MNPR has points M (3, 8) and N (-2, 1). What is the slope of N̅P ?

• -5/7

• 7/5

• 7

• The slope cannot be determined.

Which statement best explains why ABCD is a parallelogram?

• slope of AB = slope of CD = 0; slope of BC = slope of AD = 5/3.

• BC = AD = 8; AB = CD = 14

• slope of AB = slope of CD = 0; slope of BC = slope of AD = 2

• BC = AD = 10; AB = CD = 18

Square FGHI has points F (0, 3) and G (0, 5). Which could be the coordinates of point H?

• (5, 3)

• (3, 0)

• (2, 5)

• (5, 5)

Penny translates a trapezoid so that one of the vertices is at the origin. If the pre-image has a perimeter of 44 units, what is the perimeter of the image?

• 22 units

• 44 units

• 88 units

• There is not enough information.

Regular polygon ABCDE is graphed on the coordinate plane. The polygon has points C (3, 7) and D (3, -1). What is the perimeter of ABCDE?

• 28 units

• 32 units

• 40 units

• 48 units

A triangle on the coordinate plane has points located at A (2, 5), B (5, 9), and C (8, 5). What is the area of the triangle?

• 8 square units

• 10 square units

• 12 square units

• 24 square units