maths

(i) the triangles are congruent.

(ii) the triangles are not congruent

What can you say about their perimeters?

$△ABC≅△DEF$

$area(△ABC)=1×2+21 ×4=4$sq. units

$area(△DEF)=1×2+21 ×4=4$sq. units

$∴area(△ABC)=area(△DEF)$

Thus, triangles are of equal areas and are congruent.

Perimeter:

As $△ABC≅△DEF$

By CPCT

$AB=DE$

$BC=EF$

$AC=DF$

Adding all the above 3, we get,

$AB+BC+CA=DE+EF+FD$

Perimeter of $△ABC$ = Perimeter of $△DEF$

Thus, perimeters of congruent triangles are also equal.

(ii) the triangles are not congruent

$△MNOnot≅△IJK$

$area(△MNO)=1×2+1×2=4$sq. units

$area(△IJK)=1×2+1×2=4$sq. units

$∴area(△MNO)=area(△IJK)$

Thus, triangles are of equal areas and are congruent.

Perimeter:

Perimeter of $△MNO$ = Perimeter of $△IJK$

Thus, perimeters of triangles are not equal.

Answer verified by Toppr

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If $ΔABC∼ΔDEF$ such that $AB=1.2$ cm and

$DE=1.4$ cm. Find the ratio of of areas of $ΔABC$ and $ΔDEF$

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prove that

i) $BG=DF$

ii) $EG=CF$

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a) Two line segments are congruent if ................

b) Among two congruent angles, one has measure of $70_{0}$, the measure of the other angle is ...............

c) When we write $∠A=∠B$, we actually mean..............

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