In triangles ABC and DEF,angle B = angle E,an | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) In $	riangle ABC$ and $	riangle DEF$,we are given $\angle B = \angle E$ and $\angle F = \angle C$.By the $AA$ (Angle-Angle) similarity criterion

Vedclass · Accepted Answer

similar but not congruent

Vedclass · Answer

(A) In $	riangle ABC$ and $	riangle DEF$,we are given $\angle B = \angle E$ and $\angle F = \angle C$.By the $AA$ (Angle-Angle) similarity criterion,since two angles of $	riangle ABC$ are equal to two corresponding angles of $	riangle DEF$,the triangles are similar,i.e.,$	riangle ABC \sim 	riangle DEF$.For two triangles to be congruent,their corresponding sides must be equal. Here,it is given that $AB = 3 DE$,which implies $AB 
eq DE$.Since the corresponding sides are not equal,the triangles are not congruent.Therefore,the triangles are similar but not congruent.

In triangles $ABC$ and $DEF$,$\angle B = \angle E$,$\angle F = \angle C$ and $AB = 3 DE$. Then,the two triangles are

Similar Questions

The correspondence $PQR \leftrightarrow ZYX$ between $\Delta PQR$ and $\Delta XYZ$ is a similarity. If $PQ : ZY = 5 : 3$ and $PR = 10$,find $ZX$.

.......... are not the measures of sides of a right-angled triangle.

In $\Delta ABC$,$m \angle B = 90^{\circ}$ and $\overline{BE}$ is an altitude to the hypotenuse $\overline{AC}$. Prove that $\frac{AB^2}{BC^2} = \frac{AE}{CE}$.

$\Delta ABC \sim \Delta XYZ$ for the correspondence $ABC \leftrightarrow XYZ$. If $AB = 12, XY = 8$ and the area of $\Delta ABC$ is $81$,find the area of $\Delta XYZ$.

In $\Delta ABC$,if $\ldots \ldots \ldots \ldots$,then by Apollonius' theorem,$AB^{2} + AC^{2} = 2(AD^{2} + BD^{2})$ holds good.

Vedclass Test Series

Exam Paper Generator

Online Exam Module