Unit 1, Lesson 1
What Are Scaled Copies?
Grade 7
Practice
Problem 1
Here is a figure that looks like the letter A, along with several other figures. Which figures are scaled copies of the original A? Explain how you know.
An original figure of the letter A and 4 other figures on a grid. In the original figure, the letter A fits inside of a 2 unit by 2 unit square. The horizontal segment is halfway up the height of the square. The tip of the A is at the midpoint of the horizontal side of the square. In figure 1, the letter A fits inside of a rectangle with a horizontal side length of 2 units and a vertical side length of 3 units. The horizontal segment is halfway up the height of the rectangle. The tip of the A is at the midpoint of the horizontal side of the rectangle. In figure 2, the letter A fits inside of a 4 unit by 4 unit square. The horizontal segment is halfway up the height of the square. The tip of the A is at the midpoint of the horizontal side of the square. In figure 3, the letter A fits inside of a 3 by 3 unit square. The horizontal segment is halfway up the height of the square. The tip of the A is at the top left vertex of the square, making the left leg of the letter A straight and the right leg of the letter A slanted. In figure 4, the letter A fits inside of a unit square. The horizontal segment is halfway up the height of the square. The tip of the A is at the midpoint of the horizontal side of the square.