Answered

IDNLearn.com offers a unique blend of expert answers and community-driven insights. Find the solutions you need quickly and accurately with help from our knowledgeable community.

Can someone help me match these up? i know the given is number one I need help with the rest.

1.line RS || segment AB, ∠1=∠2
2.∠B = ∠1
3.∠A = ∠2
4.∠A = ∠B
5.RA = RB

A:  If two ∠'s of a triangle are =, sides opposite are =
B: If lines ||, alternate interior ∠'s =
C: Given
D: Substitution
E: If lines ||, corresponding ∠'s are =

Can Someone Help Me Match These Up I Know The Given Is Number One I Need Help With The Rest1line RS Segment AB 122B 13A 24A B5RA RBA If Two S Of A Triangle Are class=

Sagot :

[tex]C-1\\E-2\\B-3\\D-4\\A-5[/tex]

Answer:

1-C, 2-E, 3-B, 4-D, 5-A

Step-by-step explanation:

Firstly, from the figure, it is shown that line RS is parallel to the line segment AB and ∠1=∠2. Therefore, 1 matches with C.

Now, from the definition of parallel lines, the corresponding angles are always equal, therefore ∠B=∠1. Therefore, 2 matches with E.

Since, we are given that the lines are parallel, therefore by property of parallel lines, alternate angles are always equal. Therefore, ∠A=∠2. Hence, 3 matches with B.

Now, we know that ∠B=∠1 and ∠A=∠2, also that ∠1=∠2, therefore from these equations, ∠A=∠B. Hence, 4 matches with D.

If two angles of the triangle are equal that is ∠A=∠B, then the sides opposite to equal angles are always equal, therefore, RA=RB. Hence, 5 matches with A.

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.