4.2: Transversals
This activity is intended to supplement Geometry, Chapter 3, Lesson 3.
Problem 1  Properties of Transversals
Use the below on the right to answer the following questions.
1.
2.
3.
Run the Cabri Jr. App and open the file TRNSVRSL showing two parallel lines,
4. The measure of
a. These two angles are ____________________ Angles.
b. Move point









c. What is the relationship between the measurements of
Congruent, complementary, or supplementary? _______________
5. The measure of
a. These two angles are ____________________ Angles.
b. Move point









c. What is the relationship between the measurements of
Congruent, complementary, or supplementary? _______________
6. The measure of
a. These two angles are ____________________ Angles.
b. Move point









c. What is the relationship between the measurements of
Congruent, complementary, or supplementary? _____________________
Problem 2  Conjectures and Questions
Complete the following conjectures based on your answers above.
7. For parallel lines and a transversal, if two angles are corresponding angles, then...
8. For parallel lines and a transversal, if two angles are alternate interior angles, then...
9. For parallel lines and a transversal, if two angles are sameside interior angles, then...
Complete the following problems.
The triangles in the middle of the lines tell us that the lines are parallel.
10. Find the measurement of
11. Find the value of \begin{align*}x\end{align*} and \begin{align*}y\end{align*}.
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