Question

Given: Angle B is congruent to Angle D and Line AD is parallel to Line BC
Prove: Triangle ABC is congruent to Triangle CDA

Please help! I really need it!

Answer 1

Write a Formal letter of placing order:

You are Parveen the manager of little wonders Toy Shop,you want to order different kinds of toys for the New Year’s celebrations.

List down different kinds of toys along with accurate number of prices required and mention all other important details.

Answer 2

Answer:

Statement             |    Reason

1.∠B≅∠D                    Given

Segment AD≅ Segment BC  Given

2. Segment AC ≅ Segment AC Reflexive Property

3.∠BCA≅∠DAC       Parallel lines cut by a transversal form congruent alternate interior angles

4.△ABC≅△CDA     AAS Postulate

Step-by-step explanation:

We know that Angle B is congruent to angle D because it's given. We also know that segment AD is parallel to segment BC because it's given. We can prove segment AC is congruent to segment AC because of the reflexive property; which states that any angle, side and shape is congruent to itself. Statement 3 can be made since AC can be seen as a transversal. Finally, statement 4 can be made because of the angle, angle, side postulate, where there are 2 congruent angles and 1 congruent side. Hope this helps :)