What should be Thomas’s reason for Step 2? P 2. Thomas needs to prove the following theorem.If one pair of opposite sides of a quadrilateral is congruent and parallel, then the quadrilateral is a parallelogram.He draws the figure below and begins his proof.BAB DCGiven:AB I| DCProve: ABCD is a parallelogramStatementsReasonsAB= DC1.1. GivenAB I| DC2. Z BAC DCA2. ?What should be Thomas's reason for Step 2?O If parallel lines are cut by a transversal, alternate interior angles are congruent.O If parallel lines are cut by a transversal, corresponding angles are congruent.O Vertical angles are congruent.O Congruent parts of congruent triangles are congruent.

If line l and m are parallel to each other and t is a transverse line then, ∠1≅∠2 (pair of…

If one pair of opposite sides of a quadrilateral is congruent and parallel, then the quadrilateral is a parallelogram. He draws the figure below and begins his proof. AB= DC Given: AB || DC Prove: ABCD is a parallelogram Statements Reasons AB = DC 1. Given 1. AB || DC 2. Z BACZDCA 2. ? What should be Thomas's reason for Step 2? O If parallel lines are cut by a transversal, alternate interior angles are congruent. O If parallel lines are cut by a transversal, corresponding angles are congruent. O Vertical angles are congruent. O Congruent parts of congruent triangles are congruent.

If one pair of opposite sides of a quadrilateral is congruent and parallel, then the quadrilateral is a parallelogram. He draws the figure below and begins his proof. AB= DC Given: AB || DC Prove: ABCD is a parallelogram Statements Reasons AB = DC 1. Given 1. AB || DC 2. Z BACZDCA 2. ? What should be Thomas's reason for Step 2? O If parallel lines are cut by a transversal, alternate interior angles are congruent. O If parallel lines are cut by a transversal, corresponding angles are congruent. O Vertical angles are congruent. O Congruent parts of congruent triangles are congruent.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter4: Quadrilaterals

Section4.3: The Rectangle, Square, And Rhombus

Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...

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