Geometry OST Prep

A park has a triangular sandbox. Todd wants to create a smaller sandbox at his backyard having the same angles as the park sandbox.

What is the perimeter, in feet (ft), of Todd's Sandbox?

• 36 ft

• 18.4 ft

• 16 ft

• 20.8 ft

What is the area, in square feet, of the sign?

• 12

• 60

• 65

• 30

A right triangle ABC is shown. What is cos A?

Triangle ABC has vertices at (-4, 0), (-1, 6) and (3, -1). What is the perimeter of triangle ABC, rounded to the nearest tenth?

• 22

• 21.8

• 23.83

• 20.3

Point A is located at (-1, -5). The midpoint of line segment AB is point C (2, 3). What are the coordinates of point B?

• (-1, -2)

• (1, -8)

• (5, 11)

• (3, 8)

Kyle performs a transformation on a triangle. The resulting triangle is similar but not congruent to the original triangle. Which transformation did Kyle perform on the triangle?

• dilation

• reflection

• rotation

• translation

The side lengths, in units, of triangle MNO are given. MN = 5 NO = 4 OM = 2.5 Triangle MNO is dilated by a scale factor of k, with the center at point M, to create triangle MGH. Triangle MGH has a perimeter of 17.25 units. What is the value of k?

• 1.5

• 5.75

• 11.5

• 17.25

Quadrilateral ABCD is inscribed in circle O, as shown. What is the value of y?

• 83

• 97

• 76

• 104

Create the equation of a circle that has a center at (1, 3) and a radius of 4 units