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Mathematics, 09.06.2020 01:57 puremousetail

Compare corresponding angles to decide if they are congruent. Since AB is horizontal and BC is vertical, ∠B is (select)
. Similarly, ∠E is
(select)
.

m∠B = m∠E =
°

By the Triangle Sum Theorem, m∠C is equal to
°.

By the Triangle Sum Theorem, m∠D is equal to
°.

So, ∠A
(select)
∠D, ∠B
(select)
∠E, and ∠C
(select)
∠F. The triangles have
(select)
of congruent corresponding angles.

AB is horizontal and its length is
units. BC is vertical and its length is
units.

By the Distance Formula, AC is .

DE is horizontal and its length is
units. EF is vertical and its length is
units.

By the Distance Formula, DF is .

So, AB ≅
(select)
, BC ≅
(select)
, and AC ≅
(select)
.

△ABC
(select)
△DEF by
(select)
.

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Answers: 2

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