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Find the measure of angle number 6. o 50 5.5-6 Investigate Parallelogram Using the lines on a piece of line paper as a guide, draw a pair of parallel lines that are at least 6 cm apart. Using the parallel edges of your double-edged straightedge, make a parallelogram. Label your parallelogram LOVE. •Let’s look at the opposite angles. Measure the angles of parallelogram LOVE. Compare a pair of opposite angles using patty paper or your protractor. What did you notice? Find the sum of the measures of each pair of consecutive angles in parallelogram LOVE. Let’s look at the opposite sides of parallelogram LOVE. Compare the lengths of the opposite sides of the parallelogram you made. Finally, let’s consider the diagonals of the parallelogram. Construct the diagonals LV and EO. Label the point where the two diagonals intersect point M. Measure LM and VM. What can you conclude about point M? Is this conclusion also true for diagonal EO? How do they relate? The opposite angles of a parallelogram are congruent _____________. The consecutive angles of a parallelogram supplementary are _____________. The opposite sides of a parallelogram are parallel and congruent ______________. The diagonals of a parallelogram bisect each other _________________. Find the slope of: (4,6) and (-1, 9) 96 m 1 4 69 m 4 (1) 3 m 5 3 m 5 Be sure to have: scissors protractor ruler We will investigate rhombus, square, rectangle and kite. Rhombus – equilateral parallelogram congruent All 4 sides are _______________. perpendicular and The diagonals are ______________, they bisect ________________________. each other bisect The diagonals of a rhombus _____________ the angles of the rhombus. Rectangle – parallelogram with 4 right angles The diagonals of a rectangle are bisect each other congruent ________________ and ___________________. Square – parallelogram with 4 right angles and 4 congruent sides congruent The diagonals of a square are ________________, ________________ perpendicular and ___________________. bisect each other Kite – two pairs of consecutive congruent sides The diagonals are ____________________. perpendicular opposite Exactly one pair of ________________ angles congruent are __________________.