Practice Set 4
10 Mixed Geometry Questions
This mixed set blends radians, circles, distance, midpoint, similarity, trig, and volume in one review round.
Practice Questions
Mixed Practice Set A: Geometry Connections
Use this set to switch between circle formulas, coordinate geometry, similarity, and right triangle ideas so your geometry skills stay flexible.
Question 1
Which radian measure is equivalent to 150°?
Desmos Move: Use 180° = π and rewrite 150° as five sixths of 180°.
Question 2
What is the distance between (3, -2) and (9, -2)?
Desmos Move: The y-values match, so this is a horizontal distance.
Question 3
What is the circumference of a circle with radius 7?
Desmos Move: Use C = 2πr with r = 7.
Question 4
In a 30°-60°-90° triangle, the hypotenuse is 18. What is the shorter leg?
Desmos Move: The shorter leg in a 30°-60°-90° triangle is half the hypotenuse.
Question 5
What is the area of a 60° sector in a circle with radius 12?
Desmos Move: A 60° sector is one sixth of the full circle area.
Question 6
If two similar figures have a side scale factor of 8/5, what happens to their perimeters?
Desmos Move: Perimeter is a linear measure, so it changes with the same scale factor as side length.
Question 7
What is the midpoint of the segment joining (-4, 6) and (10, 2)?
Desmos Move: Average the x-values and y-values separately.
Question 8
Which trig ratio compares the opposite side to the adjacent side?
Desmos Move: Use SOH-CAH-TOA to match each ratio with its sides.
Question 9
What is the length of the diagonal from (0, 0) to (8, 6)?
Desmos Move: This forms a right triangle with legs 8 and 6.
Question 10
Which formula gives the volume of a cylinder?
Desmos Move: Cylinder volume uses the area of the circular base times the height.