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If AABC = ADEF, correctly name one pair of congruent sides and one pair of

congruent angles.
Standard 4.2B
Some please help me!!!!

If AABC = ADEF, correctly name one pair of congruent sides and one pair of congruent-example-1
User MTv
by
6.7k points

1 Answer

10 votes

Watch the letter order of the statement:

ΔABC ≅ ΔDEF

Where point:

A = D

B = E

C = F

Take any sides and use the corresponding labels correctly to make them congruent.

Let's say I take side AB.

ΔABC ≅ ΔDEF

Refer to the correspondence chart we did above ^^^. As you can see that AB is equal to DE. You can also see this by referring to the first two letters in the triangle statement.

One pair of congruent sides: AB ≅ DE

Now for the angles, it's basically the same concept.

I'll take angle ∠ABC or ∠B. (Note: Always refer to the middle letter when there is a three letter angle label like ∠ABC)

Refer to the chart and what do we see?

We see that:

∠ABC = ∠DEF

or

∠B = ∠E

One pair of congruent angles: ∠ABC ≅ ∠DEF or ∠B ≅ ∠E

Note: you can also do this with any letter combination, order, etc. ONLY IF you can correctly order their corresponding points.

User Scofield Tran
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6.9k points
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