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Unit 6: Geometry Lesson One: Angle Properties of Parallel Lines Learning Goals I can determine the measure of angles using angle relationships involving triangles and parallel lines.

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Unit 6: Geometry Lesson One: Angle Properties of Parallel Lines Vocabulary: Parallel lines – two or more lines that run side by side but never cross paths. Transversal – A line that intersects two or more parallel lines. Hatch Mark (or Tick Mark) – a mark on two or more sides of a geometric shape to indicate the sides are equal lengths.

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The C-Pattern Rule/Co-Interior Angles Lesson One: Angle Properties of Parallel Lines Unit 6: Geometry

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Determine the value of x using the c- pattern rule. Lesson One: Angle Properties of Parallel Lines Unit 6: Geometry

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The F-Pattern Rule/Corresponding Angles Corresponding angles are equal. They have the same position with respect to the transversal and the parallel lines. They form an F- Pattern. x = z Lesson One: Angle Properties of Parallel Lines Unit 6: Geometry

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Determine the value of “x” using the F- Pattern Rule Lesson One: Angle Properties of Parallel Lines Unit 6: Geometry

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The Z-Pattern Rule/Alternate Angles Alternate angles are equal. They are between the parallel lines on opposite sides of the transversal. They form a Z-Pattern. w = x Lesson One: Angle Properties of Parallel Lines Unit 6: Geometry

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Use the Z-Pattern Rule to determine the value of “x”. Lesson One: Angle Properties of Parallel Lines Unit 6: Geometry

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The t-Pattern Rule/Supplementary Angles Lesson One: Angle Properties of Parallel Lines Unit 6: Geometry

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Determine the value of “x” using the t-Pattern Rule Lesson One: Angle Properties of Parallel Lines Unit 6: Geometry

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Opposite angles are equal. They are created when any two lines intersect. They are diagonally across from each other and form an X-Pattern. w = z And y = x Unit 6: Geometry Lesson One: Angle Properties of Parallel Lines The X-Pattern Rule/Opposite Angles

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Complementary Angles Unit 6: Geometry Lesson One: Angle Properties of Parallel Lines

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Unit 6: Geometry Lesson One: Angle Properties of Parallel Lines When a transversal intersects two lines, four sets of opposite angles are formed. The angles in each pair are equal. When a transversal crosses a pair of parallel lines it creates: 4 sets of opposite angles (X-pattern) 2 sets of alternate angles (Z-Pattern) 4 sets of corresponding angles (F-Pattern) 2 sets of co-interior angles (C-Pattern)

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Unit 6: Geometry Lesson One: Angle Properties of Parallel Lines Practice Page 359 Q 1, 2, 3a, 6b, 7, 8, 10a, 11 Page 366 Q 8ab

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PROPERTIES OF PARALLEL LINES. Transversal Line that intersect two coplanar lines at two distinct points Eight angles are formed by a transversal line.

PROPERTIES OF PARALLEL LINES. Transversal Line that intersect two coplanar lines at two distinct points Eight angles are formed by a transversal line.

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