Ankita wants to prove Delta ABCcong Delta DEF using SAS- She knows AB-DE and AC-DF- What additional piece of information does she need-angle A-angle D-angle A-angle B-angle C-angle F-angle B-angle E

Question

Toppr Admin · Accepted Answer

By SAS- two corresponding sides and their included angles should be congruent- Since AB-DE and AC-DF-The included angles of AB and AC-x2220-A-xA0-and included angle of DE and-xA0-DF-x2220-D-xA0-x21D2-x2220-A-x2220-D is needed-

Ankita wants to prove $Δ A B C ≅ Δ D E F$ using $S A S$ . She knows $A B = D E$ and $A C = D F$ . What additional piece of information does she need?
$∠ A = ∠ D$
$∠ A = ∠ B$
$∠ C = ∠ F$
$∠ B = ∠ E$

By SAS, two corresponding sides and their included angles should be congruent.
Since $A B = D E$ and $A C = D F$ ,
The included angles of $A B$ and $A C = ∠ A$
and included angle of $D E$ and $D F = ∠ D .$
$\Rightarrow ∠ A = ∠ D$ is needed.

Ankita wants to prove ΔABC≅ΔDEF using SAS. She knows AB=DE and AC=DF. What additional piece of information does she need?∠A=∠D∠A=∠B∠C=∠F∠B=∠E

By SAS, two corresponding sides and their included angles should be congruent. Since AB=DE and AC=DF,The included angles of AB and AC=∠A and included angle of DE and DF=∠D. ⇒∠A=∠D is needed.

Ankita wants to prove $Δ A B C ≅ Δ D E F$ using $S A S$ . She knows $A B = D E$ and $A C = D F$ . What additional piece of information does she need?
$∠ A = ∠ D$
$∠ A = ∠ B$
$∠ C = ∠ F$
$∠ B = ∠ E$

By SAS, two corresponding sides and their included angles should be congruent.
Since $A B = D E$ and $A C = D F$ ,
The included angles of $A B$ and $A C = ∠ A$
and included angle of $D E$ and $D F = ∠ D .$
$\Rightarrow ∠ A = ∠ D$ is needed.