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!
Answers
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:
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 :)