Question 748135: Need help answering please?
Study the flow proof for a leg-leg (LL) Congruence Theorem.
GIVEN: AB is congruent to DE, BC is congruent to ED, Angle B and Angle E are right angles.
PROVE: Triangle ABC is congruent to Triangle DEF
*Complete the following proof for a Hypotenuse-Angle Congruence Theorem.
GIVEN: AC is congruent to DF, Angle C is congruent to Angle F, Angle B and Angle E are right angles.
PROVE: Triangle ABC is congruent to Triangle DEF
Here is the link to the figure:
http://imageshack.us/a/img593/6467/imag436011.jpg
I know this is a big question so I really appreciate any help! Thank you!!!
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! in first part of your picture you have:
two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then the triangles are congruent by Side-Angle-Side (SAS)
in second part you are given two angles and one side; so, you will use ASA to prove tat triangles are congruent
given: in triangles ABC and DEF,
1. angle C = angle F, .....................given
2. angle B = angle E, .....................given
3. AC = DF, ..................................given
4. ABC is congruent to triangle DEF.............Angle-Angle-Side (AAS)
Proof based on: Angle-Angle-Side (AAS)
When two pairs of angles of two triangles are equal in measurement and pair of corresponding sides is equal in length, the triangles are called as congruent triangle.
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