MATH 213 Study Guide - Midterm Guide: Glide Reflection

• School: University of Maryland
• Department: Mathematics
• Course: MATH 213
• Professor: All

Document Summary

Name______________________________________: consider the triangle given below: a = ( 10, 0), b = ( 10, 5), c = ( 3, 2, reflect abc across the given line l. label this triangle a"b"c", rotate triangle a"b"c" 180 degrees about the origin. Label this triangle a*b*c*: apply the rule f(x,y) = x + 2, y 3) to triangle a*b*c*. Label this triangle a b c : what type of transformation does the rule in part c produce, what can you say about the lengths of the segments ac, a"c", a*c*, and a c ? l. Identify all connections that you observe: draw a figure that has two lines of reflection and has rotational symmetry, in each part below, draw a figure with the desired properties, a portion of a design a motif is given below. Complete the design by drawing more copies of this motif so that the resulting design has rotational symmetry but not reflection symmetry.