Quadrilateral RSTU has one pair of opposite parallel sides and one pair of opposite congruent sides as shown.Based on the given information, which statement best explains whether the quadrilateral is a parallelogram?It cannot be determined from the information given.It is not a parallelogram because the congruent sides cannot be parallel.It is not a parallelogram because the parallel sides cannot be congruent.It is a parallelogram based on the single opposite side pair theorem.

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general 11 months ago 9309

Francisco’s game involves a bag of 3 green, 2 yellow, 4 red, and 3 black marbles. Andrew wants to increase the likelihood of selecting a yellow marble. How can the game be modified to make drawing a yellow marble more likely? Select all that apply.XAndrew should add more green marbles to the bag.-Andrew should add more yellow marbles to the bag.-Andrew should remove from the bag 1 green, 1 black, and 2 red marbles.XAndrew should add more black marbles to the bag-Andrew should triple the number of yellow marbles in the bag.

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general 11 months ago 6299

The following is an incomplete paragraph proving that the opposite angles of parallelogram ABCD are congruent: Parallelogram ABCD is shown where segment AB is parallel to segment DC and segment BC is parallel to segment AD. According to the given information, segment AB is parallel to segment DC and segment BC is parallel to segment AD. . Using a straightedge, extend segment AB and place point P above point B. By the same reasoning, extend segment AD and place point T to the left of point A. Angles BCD and PBC are congruent by the Alternate Interior Angles Theorem. Angles PBC and BAD are congruent by the ____________. By the Transitive Property of Equality, angles BCD and BAD are congruent. Angles ABC and BAT are congruent by the _____________. Angles BAT and CDA are congruent by the Corresponding Angles Theorem. By the Transitive Property of Equality, ∠ABC is congruent to ∠CDA. Consequently, opposite angles of parallelogram ABCD are congruent. What theorems accurately complete the proof? (5 points) 1. Corresponding Angles Theorem 2. Alternate Interior Angles Theorem 1. Alternate Interior Angles Theorem 2. Corresponding Angles Theorem 1. Corresponding Angles Theorem 2. Corresponding Angles Theorem 1. Alternate Interior Angles Theorem 2. Alternate Interior Angles Theorem

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general 11 months ago 7644