Lesson 3: Practice Problems

Problem 1

Segment $A B$ measures 3 cm. Point $O$ is the center of dilation. How long is the image of $A B$ after a dilation with …

Scale factor 5?
Scale factor 3.7?
Scale factor $\frac{1}{5}$ ?
Scale factor $s$ ?

Problem 2

Here are points $A$ and $B$ . Plot the points for each dilation described.

$C$ is the image of $B$ using $A$ as the center of dilation and a scale factor of 2.
$D$ is the image of $A$ using $B$ as the center of dilation and a scale factor of 2.
$E$ is the image of $B$ using $A$ as the center of dilation and a scale factor of $\frac{1}{2}$ .
$F$ is the image of $A$ using $B$ as the center of dilation and a scale factor of $\frac{1}{2}$ .

Problem 3

Make a perspective drawing. Include in your work the center of dilation, the shape you dilate, and the scale factor you use.

Problem 4 From Unit 2 Lesson 1

Triangle $A B C$ is a scaled copy of triangle $D E F$ . Side $A B$ measures 12 cm and is the longest side of $A B C$ . Side $D E$ measures 8 cm and is the longest side of $D E F$ .

Triangle $A B C$ is a scaled copy of triangle $D E F$ with what scale factor?
Triangle $D E F$ is a scaled copy of triangle $A B C$ with what scale factor?

Problem 5 From Unit 1 Lesson 14

The diagram shows two intersecting lines.

Find the missing angle measures.

Two lines intersecting each other in an X shape forming angles a, b, c, and 102 degrees.

Problem 6 From Unit 1 Lesson 12

Triangle ABC in quadrant 2 with side lengths AC=3.2, BC=3, AB=5. Triangle DEF in quadrant 4 with angles D=34.7, E=36.9, F=108.4.

Show that the two triangles are congruent.
Find the side lengths of $D E F$ and the angle measures of $A B C$ .