#### Transcript Quadrilateral Jeopardy Review

JEOPARDY! Jeopardy! Final Jeopardy Theorems #1 Theorems #2 Theorems #3 Parallelograms Special Parallelograms 200 200 200 200 200 400 400 400 400 400 600 600 600 600 600 800 800 800 800 800 1000 1000 1000 1000 1000 THEOREMS #1 – 200 Theorem 6-1 Opposite sides of a parallelogram are __________________________. Board THEOREMS #1 – 400 Theorem 6-2 Opposite angles of a parallelogram are _________________________. Board THEOREMS #1 - 600 Theorem 6-3 The diagonals of a parallelogram ____________________________ each other. Board THEOREM #1 - 800 Theorem 6-4 If three (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on _____________________________ transversal. Board THEOREMS #1 - 1000 Theorem 6-5 If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a ________________. Board THEOREMS #2 - 200 Theorem 6-6 If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a _______________________________. Board THEOREMS #2 - 400 Theorem 6-7 If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a __________. Board THEOREMS #2 - 600 Theorem 6-8 If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a ________________. Board THEOREMS #2 - 800 Theorem 6-9 Each diagonal of a rhombus _________________________ two angles of the rhombus. Board THEOREMS #2 - 1000 Theorem 6-10 The diagonals of a rhombus are _________________________. Board THEOREMS #3 - 200 Theorem 6-11 The diagonals of a rectangle are ________________________. Board THEOREMS #3 - 400 Theorem 6-12 If one diagonal of a parallelogram bisects two angles of the parallelogram, then the parallelogram is a ________________________. Board THEOREMS #3 - 600 Theorem 6-13 If the diagonals of a parallelogram are perpendicular, then the parallelogram is a ________________________________. Board THEOREMS #3 - 800 Theorem 6-14 If the diagonals of a parallelogram are congruent, then the parallelogram is a ___________________________. Board THEOREMS #3 - 1000 How many theorems did we learn so far in this chapter? Board PARALLELOGRAMS - 200 Y X 3a-7 5b 2a b+8 Z W DIRECTIONS: WXYZ is a parallelogram. Find each measure. Board YW PARALLELOGRAMS - 400 Y X 3a-7 5b 2a b+8 Z W DIRECTIONS: WXYZ is a parallelogram. Find each measure. XZ Board PARALLELOGRAMS - 600 2x x 2y - 9 y DIRECTIONS: Find the values of x and y. Also find the lengths of the sides. Board PARALLELOGRAMS - 800 3x + 25 5x - 5 DIRECTIONS: Find the value for x and the measure of the angles. Board PARALLELOGRAMS- 1000 DIRECTIONS: Determine if each of the following quadrilaterals must be a parallelogram. Justify your answer. Board SPECIAL PARALLELOGRAMS 200 2 3 1 56° Find the measure of angle 1. Board SPECIAL PARALLELOGRAMS 400 Find the measure of angle 2. Board SPECIAL PARALLELOGRAMS 600 Determine if the following must be a parallelogram. Justify your answer. Each diagonal is 3 cm long and two opposite sides are 2 cm long. Board SPECIAL PARALLELOGRAMS 800 Determine if the following must be a parallelogram. Justify your answer. The diagonals are congruent, but the quadrilateral has no right angles. Board SPECIAL PARALLELOGRAMS 1000 2 1 60° 3 Find the measure of angle 3. Board FINAL JEOPARDY! Show that the quadrilateral with the given vertices is a parallelogram. To the clue. FIND THE MEASURES OF THE NUMBERED ANGLES. Show that the quadrilateral with the given vertices is a parallelogram. J (- 1, 0), K (- 3, 7), L (2, 6), M (4, - 1) To the Answer CORRECT ANSWER The End Back to Beginning