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### (Theorem 5-4) If both pairs of opposite sides of a quadrilateral are _____, then the quadrilateral is a ____

congruent; parallelogram

### (Theorem 5-5) If one pair of opposite sides of a quadrilateral are both ____ and ____, then the quadrilateral is a parallelogram

congruent; parallel

### (Theorem 5-6) If both pairs of opposite angles of a quadrilateral are ____, then the quadrilateral is a ____

congruent; parallelogram

### (Theorem 5-7) If the diagonals of a quadrilateral ___ each other, then the quadrilateral is a ___

bisect; parallelogram

### (Theorem 5-8) If two lines are parallel, then all points on one line are ___ from the other line

equidistant

### (Theorem 5-9) If three parallel lines cut off congruent segments on one transversal, then they cut off ___ segments on every ___

congruent; transversal

### (Theorem 5-10) A line that contains the midpoint of one side of a triangle and is parallel to another side, passes through the ___ of the third side

midpoint

### (Theorem 5-11a) The segment that joins the midpoints of two sides of a triangle is ___ to the third side

parallel