Section 1
Projecting and Scaling
Rectangle $A$ measures $12 \mathrm{~cm}$ by $3 \mathrm{~cm}$. Rectangle $B$ is a scaled copy of Rectangle $A .$ Select all of the measurement pairs that could be the dimensions of Rectangle $B$.A. $6 \mathrm{~cm}$ by $1.5 \mathrm{~cm}$B. $10 \mathrm{~cm}$ by $2 \mathrm{~cm}$C. $13 \mathrm{~cm}$ by $4 \mathrm{~cm}$D. $18 \mathrm{~cm}$ by $4.5 \mathrm{~cm}$E. $80 \mathrm{~cm}$ by $20 \mathrm{~cm}$
Rectangle $A$ has length 12 and width 8. Rectangle $B$ has length 15 and width 10. Rectangle $C$ has length 30 and width $15 .$a. Is Rectangle $A$ a scaled copy of Rectangle $B$ ? If so, what is the scale factor?b. Is Rectangle $B$ a scaled copy of Rectangle $A$ ? If so, what is the scale factor?c. Explain how you know that Rectangle $C$ is not a scaled copy of Rectangle $B$.d. Is Rectangle $A$ a scaled copy of Rectangle $C$ ? If so, what is the scale factor?
Here are three polygons.a. Draw a scaled copy of Polygon A with scale factor $\frac{1}{2}$.b. Draw a scaled copy of Polygon B with scale factor $2 .$c. 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?A. $40^{\circ}, 50^{\circ}, 60^{\circ}$B. $50^{\circ}, 60^{\circ}, 70^{\circ}$C. $60^{\circ}, 70^{\circ}, 80^{\circ}$D. $70^{\circ}, 80^{\circ}, 90^{\circ}$
In the picture lines $A B$ and $C D$ are parallel. Find the measures of the following angles.Explain your reasoning.a. $\angle B C D$b. $\angle E C F$c. $\angle D C F$
Summary Lesson: Projecting and Scaling