Lesson 8: Practice Problems

Problem 1

Are these two triangles identical? Explain how you know.

Two triangles-one with angles 70 and 95 and a side length of 12. The other triangle has angles 70 and 95 and a side length of 12.

Problem 2

Are these triangles identical? Explain your reasoning.

A quadrilateral where a line segment is drawn from the top vertice to the bottom right vertice creating two triangles that share a common side. Starting from the bottom left angle, going clockwise, the triangle on the left has the angle measurements of 40 degrees, 70 degrees, and 70 degrees. The triangle on the right, starting at the top angle and going clockwise, has the angle measurements of 40 degrees, 70 degrees, and 70 degrees.

Problem 3

Tyler claims that if two triangles each have a side length of 11 units and a side length of 8 units, and also an angle measuring , they must be identical to each other. Do you agree? Explain your reasoning.

Problem 4 From Unit 5 Lesson 8

The markings on the number line are equally spaced. Label the other markings on the number line.

A blank number line with 9 evenly spaced tick marks. Starting on the left, the third tick mark is labeled negative 3, the fourth tick mark is labeled 0, and the sixth tick mark is labeled 6.

Problem 5 From Unit 5 Lesson 9

A passenger on a ship dropped his camera into the ocean. If it is descending at a rate of -4.2 meters per second, how long until it hits the bottom of the ocean, which is at -1,875 meters?

Problem 6 From Unit 4 Lesson 3

Apples cost $1.99 per pound.

  1. How much do pounds of apples cost?

  2. How much do pounds of apples cost?

  3. Clare spent $5.17 on apples. How many pounds of apples did Clare buy?

Problem 7 From Unit 3 Lesson 5

Diego has a glue stick with a diameter of 0.7 inches. He sets it down 3.5 inches away from the edge of the table, but it rolls onto the floor. How many rotations did the glue stick make before it fell off of the table?