Mathematics Through Paper Folding by Alton T. Olson

By Alton T. Olson

Paper folding not just simplifies the training of arithmetic it additionally builds an experiential base priceless for extra studying. The workouts during this book, acceptable at numerous grade degrees, lead scholars to find and show such mathematical relationships as reflections, ameliorations, and symmetry.

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Fig. ) Fig. 61 What is the image of FP in a reflection in YZ? Show that the measure of FP minus the measure of PO equals a constant. Thus, point P is on the hyperbola with foci F and 0. Repeat this procedure twenty to thirty times by choosing different locations for X along the circle. Draw a circle that has OF as a diameter. Include the points of intersection of the two circles as choices for the location of X. The resulting creases are asymptotes for the hyperbola. What is the image of the hyperbola in a reflection in OF?

Exercise 19) 13. The diagonals of a parallelogram bisect each other. (Exercise 20) 14. The segment t h a t joins the midpoints of the nonparallel sides of a trapezoid is parallel to the bases, and its measure is one-half the sum of the measures of the bases. (Exercise 21) 15. ' (Exercise 22) 45 16. A diagonal of a rhombus bisects the angles formed at the related vertices. (Exercise 22) 17. The segment joining the midpoints of two sides of a triangle is parallel to the third side and is equal to one-half of its measure.

The bisector of the angle included by the congruent sides of an isosceles triangle bisects the side opposite that angle. 4. Any two medians of an equilateral triangle are congruent. 5. If two distinct coplanar lines are intersected by a transversal that makes a pair of alternate interior angles congruent, the lines are parallel. 6. If two distinct coplanar lines are intersected by a transversal that makes a pair of corresponding angles congruent, the lines are parallel. 47 Appendix C Large-Scale Figures 00 be s Fig.

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