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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.
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.
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 ...
Utilizing Parallel Lines in Proofs Reasons 1) Given 2) Given 3) If parallel lines cut by transversal, then altemate angles are conguent 4) Transitive property 5) If base angles are congruent, then triangle is isosceles AEK BED 1) 2) 5) ABE is isosceles BED EBA BAE BAE or Recognizing the altemate interior angles... Example: Given: Prove: Circle E
3.3 Proofs with Parallel Lines EXPLORE IT Work with a partner. Write the converse of each conditional statement. Determine whether the converse is true. Justify your conclusion. a. Corresponding Angles Theorem If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. 1 4 2 3 6 8 7 5 b. Alternate ...
18) Even if the lines in question #16 were not. Any value other than 8. Ideally 0 ≤ x ≤ 10. parallel, could. No, that would make the angles 189° and 206°. Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com.
Math Practice. Analyze Relationships. What is the sum of the measures of a pair of consecutive interior angles? Does it stay the same or change when you adjust the lines? intersects both parallel lines. Find the measures of the eight angles that are formed. What do you notice?
