Geometry Ohio State Test

• A

• B

• C

• D

• 1

• 2

• 3

• 4

What are the coordinates of the center and the radius of the circle with equation (x - 4)² + (y - 3)² = 25 ?

• Center (4, 3)

  Radius = 5 units

• Center (4, 3)

  Radius = 25 units

• Center (-4, -3)

  Radius = 25 units

• Center (-4, -3)

  Radius = 5 units

• Radius of Cone: 2 units

  Radius of Sphere: 4 units

• Radius of Cone: 1 unit

  Radius of Sphere: 5 units

• Radius of Cone: 4 units

  Radius of Sphere: 7 units

• Radius of Cone: 3 units

  Radius of Sphere: 6 units

• 6.72 cm

• 7.34 cm

• 7.98 cm

• 9.76 cm

Triangle ABC has vertices A (1, 1), B (2.5, 3) and C (0,-3). It is dilated by a scale factor of 0.5 about the origin to create triangle A'B'C'. What is the length, in units, side B'C'?

• 3 units

• 3.25 units

• 2.5 units

• 3.75 units

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

• Dilation

• Reflection

• Rotation

• Translation

Line segment AB is shown on the coordinate grid. Line segment AB is dilated by a scale factor of 3, with the center of dilation at the origin, resulting in line segment A'B'. What are the endpoints for A'B'?

• A'(-9,0) B' (9,6)

• A'(-9,3) B' (9,6)

• A'(1,1) B' (1,2)

• A'(-2,2) B' (2,-2)

Triangle XYZ is shown. Which triangle must be similar to triangle XYZ?

• A triangle with angles that measure 40 and 60

• a scalene triangle with only one angle that measures 100

• an isosceles triangle with only one angle that measures 40

• a triangle with two angles that measures 40

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, of Todd's sandbox?

• 52 ft

• 20 ft

• 8 ft

• 20. 8 ft