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Chapter 9-Spatial Thinking

Chapter 9-Spatial Thinking. Periods 4, 5, 6, 7. Lesson 9-1: Introduction to Geometry: Points, Lines, and Planes. Name each figure in the diagram. Name four points. Name five different rays. Name four different segments. Write five other names for .

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Chapter 9-Spatial Thinking

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  1. Chapter 9-Spatial Thinking Periods 4, 5, 6, 7

  2. Lesson 9-1: Introduction to Geometry: Points, Lines, and Planes

  3. Name each figure in the diagram. Name four points. Name five different rays. Name four different segments. Write five other names for .

  4. Architecture This structure is the frame of a room. Name the figures described below.

  5. Draw two parallel lines. Then draw a segment that intersects the parallel lines.

  6. Lesson 9-2: Angle Relationships and Parallel Lines Adjacent angles share a vertex and a side but no points in their interiors. Vertical angles are formed by two intersecting lines and are opposite each other. Vertical angles have the same measure. Angles that have the same measure are congruent angles. In the diagram above, 1 is congruent to 3. You can write this as 13. You can write the measure of1 as m1. Since 13, m1 = m3.

  7. In the diagram at the left, find the measure of 1 if m4 = 135°. In the diagram, || m. Identify each of the following. congruent corresponding angles congruent alternate interior angles

  8. Lesson 9-3: Classifying Polygons Classify the triangle by its sides and angles.

  9. Name the types of quadrilaterals that have both pairs of opposite sides parallel. A contractor is framing a regular octagonal gazebo. Write a formula for the perimeter of the gazebo in terms of the length of a side. Evaluate the formula for a side length of 7 ft. To write a formula, let x = the length of each side. Formula is made by sides x length.

  10. Lesson 9-5: Congruence Measurement AMNABC. Name the corresponding parts. congruent angles congruent sides Find the distance from M to N.

  11. List the congruent corresponding parts of each pair of triangles. Write a congruence statement for the triangles.

  12. Lesson 9-6: Circles The circumference of a circle is π times the diameter. Find the circumference of the circle at the right.

  13. Use proportions to find the measures of the central angles.

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