WorksheetsOhio Released Geometry Air Questions
Total questions: 21
Worksheet time: 12mins
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
Circle A is located in the second quadrant with center ( a, b) and radius H. Charlie transforms Circle A to prove that it is similar to any circle centered at the origin with radius G. Which sequence of transformations did Charlie use?
Translate circle A by ( x + a, y + b) and dilate by a factor of G/H
Translate circle A by ( x + a, y + b) and dilate by a factor of H/G
Translate circle A by ( x + a, y - b) and dilate by a factor of G/H
Translate circle A by ( x + a, y - b) and dilate by a factor of H/G
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
Which statement is a valid conclusion for Jessica's Proof
A
B
C
D
y - 90
90 - y
90 + y
-90 +y
What is the missing reason for the seventh statement?
CPCTC
AA postulate
All right triangles are similar
Transitive property of similarity
Which two steps are missing from the proof?
A
B
C
D
12 square feet
100 square feet
120 square feet
60 feet squared
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
120000.00 km
120430.234 km
120530.340 km
121459.043 km
A
B
C
D
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
