Page 144 - Math Course 1 (Book 2)
P. 144

Isometric Views and Cross Sections

         Mo. 10

          Lesson 8                                          ref ection symmetry

                                                            In three-dimensional space, solids are symmetric
                                                            with respect to a plane. This is called ref ection
                                                            symmetry.
          KEY CONCEPTS:
          1. Draw isometric views of three-dimensional       A square pyramid has 4 planes of symmetry.
              f gures.                                     • Two pass through the altitude and one pair of
          2. Investigate cross sections of three-             opposite vertices of the base.
              dimensional f gures.                         • Two pass through the altitude and the midpoint
                                                              of one pair opposite edges of the base.



         MO. 10 - L8a

            3D Figures: Isometric Views

                  and Cross Sections
                                                            In a two-dimensional plane, f gures are symmetric
                     Vocabulary A-Z                                 with respect to a line or a point.

                     Let us learn some vocabulary
                                                                         Let’s Begin


        corner view (or perspective view)

        The view of a geometric solid f gure from a corner   Draw a Solid
        is called the corner view or perspective view.

           You can use isometric dot   left                   Example
         paper to draw the corner view
          of a solid f gure. Isometric
         dot paper is used to draw and                      A.  Sketch a triangular prism 6 units high, with
          construct two-dimensional                               bases that are right triangles with legs 6 units
          models of geometric solids                              and 4 units long.
                                          front  right
                                                            Step 1
                                                            Mark the corner of the solid, then draw segments
        cross section                                       6 units down, 6 units to the left, and 4 units to the
        The intersection of the solid and a plane is called a   right.
        cross section of the solid.












               Horizontal                 Angled
                 Slice                     Slice







                            Vertical
                              Slice
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