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Transcript
GEOMETRY Properties of Quadrilaterals Unit 7, Quadrilaterals Name _______________________________ Date _________________ Period _________ Properties of Quadrilaterals Directions: For each section, use the indicated GeoGebra applet, along with the Word Bank, to fill in the blanks below. adjacent bisect(s) Word Bank (you will use some words more than once) congruent parallel supplementary perpendicular right yes no 7-2 Parallelograms – A parallelogram is a quadrilateral with both pairs of opposite sides _____________. Use the GG-Parallelogram applet to complete these conjectures about parallelograms: Parallelogram Conjecture #1: Opposite sides of a parallelogram are ____________________. Parallelogram Conjecture #2: Opposite angles of a parallelogram are ____________________. Parallelogram Conjecture #3: Consecutive angles of a parallelogram are __________________. Parallelogram Conjecture #4: The diagonals of a parallelogram ____________ each other. 7-3 Rectangles – A rectangle is a parallelogram with four ______________ angles. Use the GG-Rectangles applet to complete this conjecture about rectangles: Rectangle Conjecture #1: The diagonals of a rectangle are _________________. 7-4 Squares and Rhombi A rhombus is a parallelogram with four ____________ sides. Use the GG-Rhombi applet to complete these conjectures about rhombi: Rhombus Conjecture #1: The diagonals of a rhombus are ____________________ (Hint: Look at where the diagonals intersect.) Rhombus Conjecture #1: Each diagonal of a rhombus _____________ a pair of opposite angles. 7-5 Kites A kite is a quadrilateral with two pairs of _____________, ______________ sides. Draw a picture of a kite in the box to the right. Label the congruent sides with hash marks Use the GG-Kites applet to answer these questions about kites: Are the diagonals always perpendicular? _______ Do both diagonals bisect a pair of opposite angles? ________ Do the diagonals bisect each other? ________