Search results
Essential Question. For which of the theorems involving parallel lines and transversals is the converse true? Exploring Converses. Work with a partner. Write the converse of each conditional statement. Draw a diagram to represent the converse. Determine whether the converse is true. Justify your conclusion.
- Proofs with Parallel Lines
Write the converse of each conditional statement. Determine...
- Proofs with Parallel Lines
GOAL 1. Prove that two lines are parallel. re parallel. You can use the following postulate and theorems to p. GOAL 2 Use properties of lines are parallel. parallel lines to solve real-life problems, such as proving that prehistoric mounds are parallel in Ex. 19. Why you should learn it. n Exa.
1. If two lines are cut by a transversal so that alternate interior angles are (congruent, supplementary, complementary), then the lines are parallel. 2. If two lines are cut by a transversal so that same-side interior angles are (congruent, supplementary, complementary), then the lines are parallel. 3. If two lines are cut by a transversal so ...
Write the converse of each conditional statement. Determine whether the converse is true. Justify your conclusion. Corresponding Angles Theorem. If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. b. Alternate Altern Interior Angles Theorem.
parallel lines. Draw a transversal that intersects both parallel lines. a. Find the measures of the eight angles that are formed. What do you notice? b. Adjust the parallel lines and transversal so they intersect at different angles. Repeat part (a). How do your results compare to part (a)? c. Write conjectures about each pair of angles formed ...
Lines m and n are parallel lines (m n). Lines m and k are skew lines. Planes T and U are parallel planes (T U ). Lines k and n are intersecting lines, and there is a plane (not shown) containing them. Small directed arrows, as shown in red on lines m and n above, are used to show that lines are parallel. The symbol means “is parallel to ...
9-1 PROVING LINES PARALLEL. You have already studied many situations involving intersecting lines that lie in the same plane. When all the points or lines in a set lie in a plane, we say that these points or these lines are coplanar.
