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Pre-AP Bellwork. Find the value for the variable. Find the length of the sides. 2x. 2x + 2. 4. 4x + 3. 6-2 Properties of Parallelograms. Theorems about parallelograms. Theorem 6-1—Opposite sides of a parallelogram are congruent. Theorems about parallelograms.
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Pre-AP Bellwork • Find the value for the variable. Find the length of the sides. 2x 2x + 2 4 4x + 3
Theorems about parallelograms Theorem 6-1—Opposite sides of a parallelogram are congruent
Theorems about parallelograms Theorem 6-2— Opposite angles of a parallelogram are congruent *** Note- consecutive angles of a parallelogram are supplementary
Theorems about parallelograms Theorem 6-3—If a quadrilateral is a parallelogram, then its diagonals bisect each other. Q R P S
EX. Find the value of x and y of the parallelogram. Find AB, DC, A , D 3x - 15 B A (3y + 37)° (6y + 4)° D C 2x + 3
EX 2. Find the values of x & y of the given parallelogram. x + 1 2x y 3y-7
Theorem 6-4 A B If three (or more) parallel lines cut off congruent segments on one transversal, then they cut of congruent segments on every transversal. BD≅DF C D E F
EX. 3… BD = 8. Find DF and BF. A B C D E F