Parallel Lines and Transversals Angles and parallel lines
![Parallel Lines and Transversals. Angles and parallel lines. Lesson Objective Video Explore relationships of Parallel Lines and Transversals. Angles and parallel lines. Lesson Objective Video Explore relationships of](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-1.jpg)
![Parallel Lines: Coplanar lines that do not intersect. l c x s d Parallel Lines: Coplanar lines that do not intersect. l c x s d](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-2.jpg)
![Name all segments that are parallel to H E B A F D Answer: Name all segments that are parallel to H E B A F D Answer:](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-3.jpg)
![Use the figure to name each of the following. Answer: plane XYZ Answer: Use the figure to name each of the following. Answer: plane XYZ Answer:](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-4.jpg)
![Transversal: A line that intersects two or more lines in a plane at Transversal: A line that intersects two or more lines in a plane at](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-5.jpg)
![Transversal and angles transv m k 1 2 m ersal 4 8 NAME 3 Transversal and angles transv m k 1 2 m ersal 4 8 NAME 3](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-6.jpg)
![Corresponding Angles Postulate If two parallel lines are cut by a transversal, then each Corresponding Angles Postulate If two parallel lines are cut by a transversal, then each](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-7.jpg)
![When two parallel lines are cut by a transversal, then…. …. each pair of When two parallel lines are cut by a transversal, then…. …. each pair of](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-8.jpg)
![In the figure and Find Corresponding Angles Postulate Vertical Angles Theorem Transitive Property Definition In the figure and Find Corresponding Angles Postulate Vertical Angles Theorem Transitive Property Definition](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-9.jpg)
![In the figure Answer: and Find In the figure Answer: and Find](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-10.jpg)
![Use an auxiliary line. Grid-In Test Item What is the measure of RTV? Read Use an auxiliary line. Grid-In Test Item What is the measure of RTV? Read](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-11.jpg)
![Solve the Test Item Alternate Interior Angles Theorem Definition of congruent angles Substitution Solve the Test Item Alternate Interior Angles Theorem Definition of congruent angles Substitution](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-12.jpg)
![Alternate Interior Angles Theorem Definition of congruent angles Substitution Angle Addition Postulate Write each Alternate Interior Angles Theorem Definition of congruent angles Substitution Angle Addition Postulate Write each](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-13.jpg)
![Answer: Answer:](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-14.jpg)
![Grid-In Test Item What is the measure of IGE? K J Answer: Grid-In Test Item What is the measure of IGE? K J Answer:](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-15.jpg)
![ALGEBRA If and find x and y. Find x. by the Corresponding Angles Postulate. ALGEBRA If and find x and y. Find x. by the Corresponding Angles Postulate.](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-16.jpg)
![Definition of congruent angles Substitution Find y. Subtract x from each side and add Definition of congruent angles Substitution Find y. Subtract x from each side and add](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-17.jpg)
![Simplify. Add 100 to each side. Divide each side by 4. Answer: Simplify. Add 100 to each side. Divide each side by 4. Answer:](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-18.jpg)
![and ALGEBRA If find x and y. Answer: and ALGEBRA If find x and y. Answer:](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-19.jpg)
- Slides: 19
![Parallel Lines and Transversals Angles and parallel lines Lesson Objective Video Explore relationships of Parallel Lines and Transversals. Angles and parallel lines. Lesson Objective Video Explore relationships of](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-1.jpg)
Parallel Lines and Transversals. Angles and parallel lines. Lesson Objective Video Explore relationships of the angles formed by a transversal cutting parallel lines. Vocabulary Parallel lines, parallel planes, transversal, consecutive interior angels, alternative exterior angels, alternative interior angels, corresponding angels.
![Parallel Lines Coplanar lines that do not intersect l c x s d Parallel Lines: Coplanar lines that do not intersect. l c x s d](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-2.jpg)
Parallel Lines: Coplanar lines that do not intersect. l c x s d w x l
![Name all segments that are parallel to H E B A F D Answer Name all segments that are parallel to H E B A F D Answer:](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-3.jpg)
Name all segments that are parallel to H E B A F D Answer: G C
![Use the figure to name each of the following Answer plane XYZ Answer Use the figure to name each of the following. Answer: plane XYZ Answer:](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-4.jpg)
Use the figure to name each of the following. Answer: plane XYZ Answer:
![Transversal A line that intersects two or more lines in a plane at Transversal: A line that intersects two or more lines in a plane at](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-5.jpg)
Transversal: A line that intersects two or more lines in a plane at different points. Transversal crossing two lines This transversal crosses two cut across three parallel lines
![Transversal and angles transv m k 1 2 m ersal 4 8 NAME 3 Transversal and angles transv m k 1 2 m ersal 4 8 NAME 3](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-6.jpg)
Transversal and angles transv m k 1 2 m ersal 4 8 NAME 3 5 6 7 k ANGLES 1 2 7 8 3 4 5 6 Consecutive interior angles 3 6 4 5 2 8 Alternate exterior angles 1 7 Alternate interior angles 3 5 4 6 Corresponding angles 1 5 2 6 3 7 4 8 Exterior angles Interior angles
![Corresponding Angles Postulate If two parallel lines are cut by a transversal then each Corresponding Angles Postulate If two parallel lines are cut by a transversal, then each](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-7.jpg)
Corresponding Angles Postulate If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent. m k m 1 3 7 4 6 5 8 1 2 k 3 2 4 @ @ 5 7 6 8
![When two parallel lines are cut by a transversal then each pair of When two parallel lines are cut by a transversal, then…. …. each pair of](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-8.jpg)
When two parallel lines are cut by a transversal, then…. …. each pair of alternative interior angles is 4 @ 5 congruent. 3 @ 6 …. each pair of alternative exterior angles is 2 @ 7 congruent. 1 @ 8 geogebra …. each pair of consecutive interior angles is 1 2 supplementary. 3 m 4+ m 6=180 m 3+ m 5=180 6 5 7 4 8
![In the figure and Find Corresponding Angles Postulate Vertical Angles Theorem Transitive Property Definition In the figure and Find Corresponding Angles Postulate Vertical Angles Theorem Transitive Property Definition](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-9.jpg)
In the figure and Find Corresponding Angles Postulate Vertical Angles Theorem Transitive Property Definition of congruent angles Substitution Answer:
![In the figure Answer and Find In the figure Answer: and Find](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-10.jpg)
In the figure Answer: and Find
![Use an auxiliary line GridIn Test Item What is the measure of RTV Read Use an auxiliary line. Grid-In Test Item What is the measure of RTV? Read](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-11.jpg)
Use an auxiliary line. Grid-In Test Item What is the measure of RTV? Read the Test Item Be sure to identify it correctly on the figure.
![Solve the Test Item Alternate Interior Angles Theorem Definition of congruent angles Substitution Solve the Test Item Alternate Interior Angles Theorem Definition of congruent angles Substitution](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-12.jpg)
Solve the Test Item Alternate Interior Angles Theorem Definition of congruent angles Substitution
![Alternate Interior Angles Theorem Definition of congruent angles Substitution Angle Addition Postulate Write each Alternate Interior Angles Theorem Definition of congruent angles Substitution Angle Addition Postulate Write each](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-13.jpg)
Alternate Interior Angles Theorem Definition of congruent angles Substitution Angle Addition Postulate Write each digit of 125 in a column of the grid. Then shade in the corresponding bubble in each column.
![Answer Answer:](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-14.jpg)
Answer:
![GridIn Test Item What is the measure of IGE K J Answer Grid-In Test Item What is the measure of IGE? K J Answer:](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-15.jpg)
Grid-In Test Item What is the measure of IGE? K J Answer:
![ALGEBRA If and find x and y Find x by the Corresponding Angles Postulate ALGEBRA If and find x and y. Find x. by the Corresponding Angles Postulate.](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-16.jpg)
ALGEBRA If and find x and y. Find x. by the Corresponding Angles Postulate.
![Definition of congruent angles Substitution Find y Subtract x from each side and add Definition of congruent angles Substitution Find y. Subtract x from each side and add](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-17.jpg)
Definition of congruent angles Substitution Find y. Subtract x from each side and add 10 to each side. by the Alternate Exterior Angles Theorem. Definition of congruent angles Substitution
![Simplify Add 100 to each side Divide each side by 4 Answer Simplify. Add 100 to each side. Divide each side by 4. Answer:](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-18.jpg)
Simplify. Add 100 to each side. Divide each side by 4. Answer:
![and ALGEBRA If find x and y Answer and ALGEBRA If find x and y. Answer:](https://slidetodoc.com/presentation_image/f1d4eca92afc9e4d192aadfe93885813/image-19.jpg)
and ALGEBRA If find x and y. Answer:
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