Question

CAN SOMEONE HELP ME ? MEDAL AND +FAN
(((((((JUST HELP )))))))

Answer 1

Write an indirect proof to show that opposite sides of a parallelogram are congruent. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.

Answer 2

@Compassionate @agent0smith @abb0t @Ashleyisakitty @Agent47 @atlas @Balala @Brebrethekid @bashirk @mathmale

Answer 3

Consider this parallelogram

Answer 4

@Yttrium RIght !

Answer 5

Thru definition, we know that AB || CD and BD || DA

Answer 6

@Yttrium right !

Answer 7

We are to prove that AB = CD and BD = DA
Then let AC be the diagonal of the parallelogram

Answer 8

@Yttrium ok

Answer 9

Consider two triangles ABC and CDA as the figure we had.
In triangles,
1. <CBA = <ACD (the line AC is a transversal of parallel lines AB and CD,hence Angle CAB and ACD are alternate angles)
2. <ACB=<CAD (The line AC is a transversal of parallel lines BC and DA,hence Angle ACB and Angle CAD are alternate angles)
3. AC=CA (The common side to two triangles)

Answer 10

From conditions 1,2 and 3,
Triangles ABC and CDA are congruent (By Angle -Side-Angle congruency property)
Hence as triangles are congruent triangles , the corresponding sides are equal,
Hence, AB = CD and BC = DA.

Answer 11

@Yttrium so the answer will be Consider two triangles ABC and CDA as the figure we had.
In triangles,
1. <CBA = <ACD (the line AC is a transversal of parallel lines AB and CD,hence Angle CAB and ACD are alternate angles)
2. <ACB=<CAD (The line AC is a transversal of parallel lines BC and DA,hence Angle ACB and Angle CAD are alternate angles)
3. AC=CA (The common side to two triangles)
From conditions 1,2 and 3,
Triangles ABC and CDA are congruent (By Angle -Side-Angle congruency property)
Hence as triangles are congruent triangles , the corresponding sides are equal,
Hence, AB = CD and BC = DA.

Answer 12

Yeah.

Answer 13

Will you mind to help me with one more question :/ Please ? @Yttrium

Answer 14

Well, just not proving. Haha. Too long. XD

Answer 15

An isosceles trapezoid is a quadrilateral with two congruent legs and a pair of parallel bases. Prove the base angles of an isosceles trapezoid are congruent. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.
@Yttrium check it out !

Answer 16

@Yttrium