Lesson 14: Practice Problems

Problem 1

For each triangle, find the measure of the missing angle.

Problem 2

Is there a triangle with two right angles? Explain your reasoning.

Problem 3

In this diagram, lines $A B$ and $C D$ are parallel.

Parallel lines ECD and AB with two transversal cutting the lines and intersecting at C and one crossing at B.

Angle $A B C$ measures $35^{\circ}$ and angle $B A C$ measures $115^{\circ}$ .

What is $m ∠ A C E$ ?
What is $m ∠ D C B$ ?
What is $m ∠ A C B$ ?

Problem 4

The two figures are congruent.

Label the points $A^{'}$ , $B^{'}$ and $C^{'}$ that correspond to $A$ , $B$ , and $C$ in the figure on the right.
If segment $A B$ measures 2 cm, how long is segment $A^{'} B^{'}$ ? Explain.
The point $D$ is shown in addition to $A$ and $C$ . How can you find the point $D^{'}$ that corresponds to $D$ ? Explain your reasoning.

Problem 5

Here is a diagram of triangle $D E F$ .

Three intersecting lines form triangle DEF. Angle s is opposite F, q is opposite D and adjacent to D is 80 degrees, r is opposite E and adjacent to E is 45 degrees.

Find the measures of angles $q$ , $r$ , and $s$ .
Find the sum of the measures of angles $q$ , $r$ , and $s$ .
What do you notice about these three angles?