Mathematics

Mathematics, 20.08.2019 19:50, cooljariel11

Which reason completes the proof in the picture
a. alternate interior angles converse
b. opposite sides of a parallelogram are congruent
c. opposite angles of a parallelogram are congruent
d. alternate interior angles theorem

Which reason completes the proof in the picture a.alternate interior angles converse b

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Mathematics, 25.06.2019 19:30, maro1488

Spencer wrote the following paragraph proof showing that rectangles are parallelograms with congruent diagonals according to the given information, quadrilateral rect is a rectangle. by the definition of a rectangle, all four angles measure 90' segment er is parallel to segment ct and segment ec is parallel to segment rt by the quadrilateral rect is then a parallelogram by definition of a parallelogram. now, construct diagonals et and cr because rect is a parallelogram, opposite sides are congruent. therefore, one can say that segment er is congruent to segment ct segment tr is congruent to itself by the reflexive property of equality. the side-angle-side (sas) theorem says triangle ert is congruent to triangle ctr. and because corresponding parts of congruent triangles are congruent (cpctc), diagonals et and cr are congruent which of the following completes the proof? alternate interior angles converse of the alternate interior angles theorem converse of the same side interior angles theorem same side interior angles theorem

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Mathematics, 04.07.2019 19:00, gabegabemm1

Spencer wrote the following paragraph proof showing that rectangles are parallelograms with congruent diagonals. quadrilateral r e c t is shown with right angles at each of the four corners. segments e r and c t have single hash marks indicating they are congruent while segments e c and r t have two arrows indicating they are parallel. segments e t and c r are drawn. according to the given information, quadrilateral rect is a rectangle. by the definition of a rectangle, all four angles measure 90°. segment er is parallel to segment ct and segment ec is parallel to segment rt by the quadrilateral rect is then a parallelogram by definition of a parallelogram. now, construct diagonals et and cr. because rect is a parallelogram, opposite sides are congruent. therefore, one can say that segment er is congruent to segment ct. segment tr is congruent to itself by the reflexive property of equality. the side-angle-side (sas) theorem says triangle ert is congruent to triangle ctr. and because corresponding parts of congruent triangles are congruent (cpctc), diagonals et and cr are congruent. which of the following completes the proof? alternate interior angles theorem converse of the alternate interior angles theorem converse of the same-side interior angles theorem same-side interior angles theorem

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Mathematics, 07.07.2019 05:30, InnocentSoul

Given: and bisect each other. prove: quadrilateral abcd is a parallelogram. proof: statement reason 1. and bisect each other. given 2. ae = ec be = ed definition of bisection 3. m∠aeb = m∠ced 4. δabe ≅ δcde sas criterion 5. ∠acd ≅ ∠cab corresponding angles of congruent triangles are congruent. 6. converse of alternate interior angles theorem 7. m∠bec = m∠aed vertical angles theorem 8. δbec δdea sas criterion for congruence 9. dbc ≅ bda corresponding angles of congruent triangles are congruent. 10. converse of alternate interior angles theorem 11. quadrilateral abcd is a parallelogram. definition of a parallelogram 1 what is the reason for step 3 of this proof? a. alternate interior angles theorem b. corresponding angles in congruent triangles are congruent. c. for parallel lines cut by a transversal, corresponding angles are congruent. d. vertical angles theorem e.

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Mathematics, 09.07.2019 03:30, bxbykyah

What is the reason for step 3 of this proof? given: and bisect each other. prove: quadrilateral abcd is a parallelogram. proof: statement reason 1. and bisect each other. given 2. ae = ec be = ed definition of bisection 3. maeb = mced 4. abe cde sas criterion 5. acd cab corresponding angles of congruent triangles are congruent. 6. converse of alternate interior angles theorem 7. mbec = maed vertical angles theorem 8. bec dea sas criterion for congruence 9. dbc bda corresponding angles of congruent triangles are congruent. 10. converse of alternate interior angles theorem 11. quadrilateral abcd is a parallelogram. definition of a parallelogram a alternate interior angles theorem b. corresponding angles in congruent triangles are congruent. c. for parallel lines cut by a transversal, corresponding angles are congruent. d. vertical angles theorem e. sas criterion for congruence

Answers: 2

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Which reason completes the proof in the picture
a. alternate interior angles converse
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