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Proofs math 2

Proofs math 2. BE and CD intersect at A. Prove: <BAD = < CAE ( in other words prove the vertical angle theorem). Given that the lines are parallel and <2 = <6 Prove <4 = <6 (alternate interior < theorem). Given that the lines are parallel and <3 + <6 = 180

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Proofs math 2

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  1. Proofs math 2

  2. BE and CD intersect at A. Prove: <BAD = < CAE ( in other words prove the vertical angle theorem)

  3. Given that the lines are parallel and <2 = <6 • Prove <4 = <6 (alternate interior < theorem)

  4. Given that the lines are parallel and <3 + <6 = 180 • Prove <2 = <6 (prove corresponding angle theorem) - You may not use alternate interior, consecutive interior, or alternate exterior thrms.

  5. Given that line l is the perpendicular bisector of line AB: Prove that any point on line l will be equidistant from the endpoints A and B.

  6. Given that quadrilateral ADEG is a rectangle and ED bisects BC . Prove Δ𝐵𝐺𝐸 ≅ Δ𝐸𝐷𝐶.

  7. Given: Circle A and circle B are congruent to each other. A and B are on the circumference of circle F. Prove FAC congruent to FBC.

  8. Given: Circle A and circle B are congruent to each other. A and B are on the circumference of circle F. Prove: <AFC congruent to <BFC (prove the construction of angle bisectors works

  9. Rhombus

  10. Rectangles

  11. Given that circle A and circle B are congruent 1. 1. Prove that ADBC is a rhombus 2. Prove that CP is perpendicular to AB (prove that this construction works every time)

  12. Given that AB is parallel to CD and AD is parallel to BC • Prove: AB = CD and AD = BC (prove the property that opposite sides of a parallelogram are congruent)

  13. Given that AB is parallel to CD and AB = CD • Prove that AE = EC and DE = EB (Prove the property that diagonals bisect each other in a parallelogram)

  14. Given that AB is parallel to CD and AD is parallel to BC • Prove that <DAB = <BCD (Prove the property that opposite angles are congruent in a parallelogram)

  15. Given: ABCD is a parallelogram with AC perpendicular to BD Prove: ABCD is also a rhombus (Prove the property: perpendicular diagonals on a parallelogram make a rhombus)

  16. Given that ABCD is a parallelogram with <1 = <2 Prove: ABCD is a rhombus (prove the property that bisected opposite angles create a rhombus)

  17. Given that ABCD is a parallelogram with corners that each are 90 degrees.Prove: AC = BD (prove the property that rectangles have congruent diagonals)

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