Find the measure of angle number 6. 50 o. 5.5-6 Investigate Parallelogram Using the lines on a piece of line paper as a guide, draw a pair of parallel.

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Presentation transcript:

Find the measure of angle number o

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?

Let’s look at the opposite sides of parallelogram LOVE. Compare the lengths of the opposite sides of the parallelogram you made. Find the sum of the measures of each pair of consecutive angles in parallelogram LOVE. 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 _____________. The consecutive angles of a parallelogram are _____________. The opposite sides of a parallelogram are ______________. The diagonals of a parallelogram _________________. congruent supplementary parallel and congruent bisect each other

Find the slope of: (4,6) and (-1, 9)

Be sure to have: scissors protractor ruler We will investigate rhombus, square, rectangle and kite.

Rhombus – equilateral parallelogram All 4 sides are _______________. The diagonals are ______________, and they ________________________. The diagonals of a rhombus _____________ the angles of the rhombus. congruent perpendicular bisect each other bisect

Rectangle – parallelogram with 4 right angles The diagonals of a rectangle are ________________ and ___________________. congruent bisect each other Square – parallelogram with 4 right angles and 4 congruent sides The diagonals of a square are ________________, ________________ and ___________________. congruent bisect each otherperpendicular

Kite – two pairs of consecutive congruent sides The diagonals are ____________________. Exactly one pair of ________________ angles are __________________. perpendicular opposite congruent