Quadrilaterals & Transformations Study Guide
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1 s & Transformations Study Guide What do I need to know for the upcoming Summative Assessment? s Classifications and Properties of: o o Trapezoid o Kite o Parallelogram o Rhombus o Rectangle o Square The sum of all angles is 360 How to find missing angle measures Transformations Draw and label each type of transformation, including: o Translation o Reflection o Rotation (90, 180, and 270 ) o Dilation Interpret each type of transformation with a given graph. Be prepared to explain each type of transformation and its affect on the original shape when translated, reflected, rotated, and/or dilated. What are my resources to prepare? s Transformations IXL (7th grade) o P.8: Classify quadrilaterals Class notes and practice Review homework Complete the practice problems on the following pages ASK for help BEFORE the assessment IXL (7th grade) o Q.1: Identify translations, reflections, and rotations o Q.2: Translations, graph the image o Q.3: Translations, find the coordinates o Q.4: Reflections, graph the image o Q.5: Reflections, find the coordinates o Q.6: Rotations, graph the image o Q.7: Rotations, find the coordinates IXL (8 th grade) o R.8: Dilations, graph the image o R.9: Dilations, find the coordinates Class notes and practice Review homework Complete the practice problems on the following pages ASK for help BEFORE the assessment
2 Part I: s 1) List each shape that is classified as a quadrilateral: a) b) c) d) e) f) 2) What properties does a square and rhombus share? 3) How is a rectangle different from a parallelogram? 4) Which quadrilaterals have four right angles? 5) Which shape has exactly one pair of opposite parallel sides? 6) Which shapes have 2 pairs of opposite parallel lines? 7) Which shape has 2 pair of adjacent congruent sides?
3 8) List each classification for the shapes shown Directions: Use Sometimes, Always, or Never to answer questions ) A rectangle is a rhombus. 10) A quadrilateral is a polygon. 11) A quadrilateral has at least one right angle. 12) A rhombus is a parallelogram. 13) A parallelogram is a square. 14) A trapezoid is a parallelogram. 15) A square is a rectangle.
4 16) Find the missing angle. a) b) c) d)
5 Part II: Transformations Transformations Overview Transformation Movement How To Translation The figure SLIDES from one position to another without turning. Every point of the original figure is moved the same distance and in the same direction. To describe the translation using an ordered pair, add the coordinates of the ordered pair to the coordinates of the original points of the figure. Reflection You FLIP the figure over a line of symmetry. The figures are mirror images of each other. Every corresponding point on the figure after a reflection is called its image. To reflect a point over the x-axis, use the same x-coordinate and change the y-coordinate to its opposite. To reflect a point over the y-axis, use the same y-coordinate and change the x-coordinate to its opposite. Rotation Dilation You TURN a figure around a fixed point called the center of rotation. You enlarge or reduce a figure by a SCALE FACTOR. The transformation changes the size of a figure, but not its shape. To rotate a point 90 clockwise about the origin, switch positions of the x- and y-coordinates and change the y-coordinates to their opposites. To rotate a point 90 counterclockwise about the origin, switch position of the x- and y-coordinates and change the x-coordinates to their opposites. To rotate a point 180 about the origin, change the x- and y- coordinates to their opposites. Multiply the x- and y-coordinates of each vertex by the scale factor to get the dilated image coordinates.
6 Directions: For 1-4 draw each transformation in a different color and state the vertices for the transformed shape. 1) Translate the figure with vertices by (6, 4). 2) Rotate the figure with vertices counterclockwise and. 3) Dilate the figure and. 4) Reflect the figure over the and axis. Directions: For questions 5-8, describe the transformation that is shown, include translation coordinates, direction/degree of rotation, size of dilations, or axis of reflection. 5) Which transformation is shown? 6) Which transformation is shown? 7) Which transformation is shown? 8) Which transformation is shown?
7 1) 2) 3) 4)
8 5) 6) A A 7) 8) A A
9 Answer Key Part I s 1) Kite, Parallelogram, Rectangle, Rhombus, Square, and Trapezoid 2) Both are parallelograms and have 4 congruent sides. 3) A rectangle has 4 right angles. 4) The rectangle and the square. 5) Trapezoid 6) Parallelogram, Rectangle, Rhombus, and Square 7) Kite 8) Parallelogram Rectangle Rhombus Square Trapezoid Parallelogram Parallelogram Rectangle Kite Parallelogram Rhombus 9) Never 10) Always 11) Sometimes 12) Always 13) Sometimes 14) Always 15) Always 16) a) b) ; c) d) ; Part II Transformations 1) A B C D E 2) counterclockwise: ; 3) Dilate by 2: Dilate by ½: 4) Reflect over x-axis: Reflect over y-axis: 5) Reflection over the y-axis 6) Counterclockwise rotation of 7) Dilate by 3 8) Translation of (8, 7)
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Colegio Herma. Maths Bilingual Departament Isabel Martos Martínez. 2015 Contents Lines, angles and polygons: Parallel lines and angles Triangles Quadrilaterals Angles in polygons Congruence Similarity
Contents. Lines, angles and polygons: Parallel lines and angles. Triangles. Quadrilaterals. Angles in polygons. Congruence.
Colegio Herma. Maths Bilingual Departament Isabel Martos Martínez. 2015 Contents Lines, angles and polygons: Parallel lines and angles Triangles Quadrilaterals Angles in polygons Congruence Similarity