Download Practice Problems (0.3.D.13)

Lesson 13: Angles in a Triangle Part 2
1. Is there a triangle with two right angles? Explain your reasoning.
2. For each triangle, calculate the missing angle.
3. What is the sum of the measures of angles
,
,
, and
Unit 3: Rigid Transformations and Congruence Lesson 13: Angles in a Triangle Part 2
in this quadrilateral?
4. a. What is the measure of angle
in triangle
b. Find the measures of the angles , , and
? Explain.
in this picture.
c. Find the sum of the measures of angles , , and .
Unit 3: Rigid Transformations and Congruence Lesson 13: Angles in a Triangle Part 2
d. Triangle
is laid out on the floor. A person starts walking in the middle of segment
toward , then turns and walks to , turns again and walks to , and turns one more time
to return to the starting place. How many degrees has the person turned? How does this
relate to your answer to a?
5. In the picture, line
is parallel to line
a. Explain why
is congruent to
.
b. Explain why
is congruent to
.
c. Make a conclusion that in
.
,
6. Diego has created this picture using a geometry computer program:
Unit 3: Rigid Transformations and Congruence Lesson 13: Angles in a Triangle Part 2
.
Diego notices that these angles add up to more than 180 degrees. What explanation could
there be for why the angles in triangle
do not add up to 180 degrees? Explain your
reasoning.
Unit 3: Rigid Transformations and Congruence Lesson 13: Angles in a Triangle Part 2