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					     Volume 1, Issue 4

                           Math 7 Unit 4 Flip, Slide, & Turn
   Dear Parents,
   Below is information regarding Unit 4, Flip, slide, & turn. Look for future newsletters.

                 Flip, slide, & turn:
Students will be able to:
    Demonstrate understanding of translation,
     rotations, and reflections.
    Given a figure in the coordinate plane,
     determine the coordinates resulting from
     transformations.
    Perform basic constructions using a compass and
     straight edge.
                                                                   Textbook Connection
    Recognize that many constructions are based on
     the creation of congruent triangles.                    Holt Mathematics Course 2 Text:
                                                             Chapter 8 Lessons 1-3, 9-11, lesson 3 lab
                   Vocabulary
Bisector: A bisector divides a segment or angle into two                  Web Resources
equal parts.
Congruent: Two or more geometric figures that have           http://regentsprep.org/Regents/math/math-
                                                             topic.cfm?TopicCode=construc
exactly the same size and shape. The symbol for
congruent is                                                http://nlvm.usu.edu/en/nav/index.html type in
Construction: A geometric drawing that uses a limited        translation, rotation and reflection
set of tools, usually a compass and a straightedge.
                                                             http://mathbits.com/MathBits/GSP/Transformatio
Parallel lines: Two or more lines that are coplanar and do
                                                             ns.htm
not intersect. The symbol for parallel is
Perpendicular lines: Two or more lines that intersect to                Ways Parents Can Help:
form a right angle. The symbol for perpendicular is 
Reflection: A type of transformation that uses a line        Ask students about patterns found in everyday life
that acts like a mirror, called the “line of reflection,”    and identify the transformation that creates the
                                                             pattern.
with an image reflected in the line. (flip)
Rotation: A type of transformation in which a figure is      Ask your student to make designs that use the 3
turned about a fixed point, called the “center of            transformations of study.
rotation.” (turn)
Translation: A type of transformation where a figure is      Ask your student to create a holiday card using
                                                             only a compass and straight edge.
slid horizontally, vertically, or both. (slide)
Transformation: Movements of geometric figures.               For challenge problems:
                                                             www.figurethis.org
Try www.intermath-uga.gatech.edu
                  Practice Problems
 1. What are examples of real world transformations?
 2. Using a coordinate plane, show (3,2) reflected over the x axis, (3,2) rotated 90
    degrees clockwise about the origin, and (3,2) translated two units up and two
    units left.
 3. What steps would you take to copy a segment?
 4. Many constructions are based on congruent triangles. Identify congruent triangles in
 the figure below:




Answers
  1. Wallpaper design, carpet, patterns in nature-flowers, clothing, wrapping paper etc…
  2.




  3. a. Use a straight edge to draw segment AB.
     b. Use a straight edge to draw a second line segment that is longer than segment AB. with
          point C labeled at one end
     c. Place the steel tip of the compass at A and the writing tip at B.
          Keep the same setting and place the steel tip on C, while making an arc with the writing
          tip across the second line segment. Where the arc intersects the segment, label it
          point D.
      4. Now, CD  DC , ΔDAC and ΔDBC are congruent & all corresponding sides and angles
        are congruent. There are several triangles that could be identified.

				
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posted:8/23/2011
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