24-25 Geometry Concepts & Connections Post Benchmark (YL)

Triangles ABC and DEF are similar. Find the length of segment EF.

• 5 cm

• 8.8 cm

• 12 cm

• 14 cm

If m∠A = 110 degrees and m∠B = 35 degrees, find m∠1.

• 35 degrees

• 55 degrees

• 75 degrees

• 145 degrees

What is the probability of flipping a quarter 3 times and getting all heads?

• 1/2

• 1/8

• 3/2

• 3/8

A rectangular park, with dimensions of 1500 feet by 2000 feet, has a diagonal walking path that goes from the top northeast corner to the bottom southwest corner. How long is the walking path?

• 2500 feet

• 2000 feet

• 1750 feet

• 3000 feet

The special at a local pizza place says you can choose any 3 toppings from a list of 5. How many possible combinations are there?

• 8

• 10

• 12

• 15

Tony needs to create a platform shaped like the diagram with the labeled dimensions. How many cubic feet of concrete are required?

• 60 cubic feet

• 81 cubic feet

• 108 cubic feet

• 135 cubic feet

Determine the area of the green sector in the circle with a radius of 3 in and a yellow sector of 75°.

• (5/4)π in²

• (57/8)π in²

Find A ∩ B.

• {3,5,6,7,8,11,12}

• {3,5,6,7,8,12}

• {3,7,6,5}

• {3,7}

Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability that she draws a heart and then a spade?

• 1/16

• 1/26

• 1/4

• 1/52