Measurement and Geometry Flashcards
7 cards from real CAHSEE practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Measurement and Geometry flashcards as text
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
Answer: 10
Using the Pythagorean theorem: c² = 6² + 8² = 36 + 64 = 100, so c = 10.
A scale drawing uses a scale of 1 inch = 20 feet. If a hallway is 3.5 inches long on the drawing, how long is the actual hallway?
Answer: 70 feet
Actual length = 3.5 × 20 = 70 feet.
Which of the following correctly describes supplementary angles?
Answer: Two angles that sum to 180°
Supplementary angles are two angles whose measures add up to 180°.
A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume? (Use π ≈ 3.14)
Answer: 282.6 cm³
Volume = π × r² × h = 3.14 × 9 × 10 = 282.6 cm³.
Triangle PQR is similar to triangle STU. The sides of PQR are 3, 4, and 5. If the shortest side of STU is 9, what is the longest side of STU?
Answer: 15
The scale factor is 9 ÷ 3 = 3, so the longest side is 5 × 3 = 15.
A rectangular garden is 12 feet wide and has an area of 180 square feet. What is its length?
Answer: 15 feet
Area = length × width, so length = 180 ÷ 12 = 15 feet.
Which transformation moves every point of a figure the same distance in the same direction without rotating or flipping it?
Answer: Translation
A translation slides a figure without changing its size, shape, or orientation.