Practice Set 1
10 Foundational Questions
This set focuses on radians and degrees, arc length, sector area, midpoint, distance, trig ratios, similarity, and core measurement formulas.
Practice Questions
DOK 1 Practice Set: Geometry Foundations
Use Desmos to check angle measures, coordinate distances, and circle formulas while you build the geometry basics that show up often on the EOC.
Question 1
What is the measure of the central angle that intercepts a semicircle?
Desmos Move: A semicircle is half of a full turn, so compare it to 360°.
Question 2
Convert π/3 radians to degrees.
Desmos Move: Use the benchmark π radians = 180°, then scale both values by 1/3.
Question 3
A quarter circle has radius 8. What is its arc length?
A quarter circle uses one fourth of the full circumference.
Desmos Move: A quarter circle is one fourth of the full circumference 2πr.
Question 4
What is the midpoint of the segment connecting (2, -1) and (8, 5)?
Desmos Move: Average the x-values and average the y-values separately.
Question 5
Find the distance between (1, 2) and (1, 9).
Desmos Move: The x-values match, so this is a vertical distance. Subtract the y-values.
Question 6
Which trig ratio compares the opposite side to the hypotenuse?
Desmos Move: Use the SOH-CAH-TOA pattern to match each ratio to its sides.
Question 7
In a 45°-45°-90° triangle, if one leg is 6, what is the hypotenuse?
Desmos Move: A 45°-45°-90° triangle has side pattern x, x, x√2.
Question 8
A side length changes from 3 in a small triangle to 12 in a similar larger triangle. What is the scale factor from small to large?
Desmos Move: Scale factor compares corresponding lengths as larger divided by smaller.
Question 9
A cylinder has radius 3 and height 5. What is its volume to the nearest whole number?
Desmos Move: Use V = πr²h, then round the result after multiplying by π.
Question 10
What is the area of a 90° sector in a circle with radius 10?
Desmos Move: Find the area of the full circle first, then take one fourth for a 90° sector.