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.