In the given triangles- AF-CD- which method cannot be used to prove triangles congruent -SASSSSRHSAAS

Question

Toppr Admin · Accepted Answer

Consider -x25B3-ABC and-xA0-x25B3-EDF-x2220-ABC-x2220-FED-90-x2218-BC-FEAF-CD -x27F9-AF-FC-FC-CD -x27F9-AC-DFAB-ED -x27F9-x2220-BAC-x2220-FDE - -Alternate angles-x2234-AAS postulate proves that the triangles are congruent-

In the given triangles, $A F = C D$ , which method cannot be used to prove triangles congruent ?

SAS
SSS
RHS
AAS

Consider $△ A B C$ and $△ E D F$

$∠ A B C = ∠ F E D = 90^{\circ}$
$B C = F E$
$A F = C D$ $⟹ A F + F C = F C + C D$ $⟹ A C = D F$
$A B | | E D$ $⟹ ∠ B A C = ∠ F D E$ ..... (Alternate angles)

$∴ A A S$ postulate proves that the triangles are congruent.

In the given triangles, AF=CD, which method cannot be used to prove triangles congruent ?SASSSSRHSAAS

Consider △ABC and △EDF∠ABC=∠FED=90∘BC=FEAF=CD ⟹AF+FC=FC+CD ⟹AC=DFAB||ED ⟹∠BAC=∠FDE ..... (Alternate angles)∴AAS postulate proves that the triangles are congruent.

In the given triangles, $A F = C D$ , which method cannot be used to prove triangles congruent ?

SAS
SSS
RHS
AAS

Consider $△ A B C$ and $△ E D F$

$∠ A B C = ∠ F E D = 90^{\circ}$
$B C = F E$
$A F = C D$ $⟹ A F + F C = F C + C D$ $⟹ A C = D F$
$A B | | E D$ $⟹ ∠ B A C = ∠ F D E$ ..... (Alternate angles)

$∴ A A S$ postulate proves that the triangles are congruent.