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Then/Now I CAN identify relationships between two lines or two planes and name angle pairs formed by parallel lines and transversals. Learning Target

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Concept

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Example 1 Identify Parallel and Skew Relationships Answer: AD, EH, FG A. Name all segments parallel to BC.

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Example 1 Identify Parallel and Skew Relationships B. Name a segment skew to EH. Answer: AB, CD, BG, or CF

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C. Name a plane parallel to plane ABG. Example 1 Identify Parallel and Skew Relationships Answer: plane CDE

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Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST.

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Example 1b B.Name a segment that intersects YZ. A.XY B.WX C.QW D.RS

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Example 1c C.Name a segment that is parallel to RX. A.ZW B.TZ C.QR D.ST Do Page 173 # 1-4

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Transversal – a line that intersects two or more coplanar line at two different points.

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Concept

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Example 2 Classify Angle Pair Relationships A. Classify the relationship between 2 and 6 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: corresponding

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Example 2 Classify Angle Pair Relationships B. Classify the relationship between 1 and 7 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: alternate exterior

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Example 2 Classify Angle Pair Relationships C. Classify the relationship between 3 and 8 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: consecutive interior

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Example 2 Classify Angle Pair Relationships D. Classify the relationship between 3 and 5 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: alternate interior

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Example 2a A.alternate interior B.alternate exterior C.corresponding D.consecutive interior A. Classify the relationship between 4 and 5.

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Example 2b A.alternate interior B.alternate exterior C.corresponding D.consecutive interior B. Classify the relationship between 7 and 9.

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Example 2c A.alternate interior B.alternate exterior C.corresponding D.consecutive interior C. Classify the relationship between 4 and 7.

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Example 2d A.alternate interior B.alternate exterior C.corresponding D.consecutive interior D. Classify the relationship between 2 and 11. Do Page 173 # 5-8

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Example 3 Identify Transversals and Classify Angle Pairs A. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting 1 and 2. Then classify the relationship between the pair of angles. Answer: The transversal connecting 1 and 2 is line v. These are corresponding angles.

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Example 3 Identify Transversals and Classify Angle Pairs B. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting 2 and 3. Then classify the relationship between the pair of angles. Answer: The transversal connecting 2 and 3 is line v. These are alternate interior angles.

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Example 3 Identify Transversals and Classify Angle Pairs C. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting 4 and 5. Then classify the relationship between the pair of angles. Answer: The transversal connecting 4 and 5 is line y. These are consecutive interior angles.

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Example 3a A.lines c, f B.lines c, d, e C.lines c, d, f D.lines c, d, e, f A. HIKING A group of nature trails is shown. Identify the sets of lines to which line a is a transversal.

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Example 3b A.no lines B.lines c, f C.lines c, d, e, f D.lines a, c, d, e, f B. HIKING A group of nature trails is shown. Identify the sets of lines to which line b is a transversal. Do Page 174 # 1-12

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Example 3c A.no lines B.lines a, b, d, e, f C.lines a, d, f D.lines a, b, e C. HIKING A group of nature trails is shown. Identify the sets of lines to which line c is a transversal.

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TOMORROW: WE WILL HAVE CLASS IN ROOM 1106. Then/Now You used angle and line segment relationships to prove theorems. Identify relationships between two.

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