Grade 8 | Unit 2 | Lesson 1: Projecting and Scaling | Practice Problems

Rectangle \(A\) measures 12 cm by 3 cm. Rectangle \(B\) is a scaled copy of Rectangle \(A\). Select all of the measurement pairs that could be the dimensions of Rectangle \(B\).

• 6 cm by 1.5 cm

• 10 cm by 2 cm

• 13 cm by 4 cm

• 18 cm by 4.5 cm

• 80 cm by 20 cm

Rectangle \(A\) has length 12 and width 8. Rectangle \(B\) has length 15 and width 10. Rectangle \(C\) has length 30 and width 15. Is Rectangle \(A\) a scaled copy of Rectangle \(B\)? If so, what is the scale factor?

Explain how you know that Rectangle \(C\) is not a scaled copy of Rectangle \(B\).

Is Rectangle \(A\) a scaled copy of Rectangle \(C\)? If so, what is the scale factor?

Here are three polygons. Draw a scaled copy of Polygon A with scale factor \(\frac 1 2\).

Draw a scaled copy of Polygon B with scale factor 2.

Draw a scaled copy of Polygon C with scale factor \(\frac 1 4\).

Which of these sets of angle measures could be the three angles in a triangle?

In the picture lines \(AB\) and \(CD\) are parallel. Find the measures of the following angles. Explain your reasoning. \(\angle BCD\) \(\angle ECF\) \(\angle DCF\)