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

In $\square ABCD$,$\overline{AB} \parallel \overline{CD}$ and $\overline{AC} \cap \overline{BD} = \{M\}$. If $\frac{MB}{MD} = \frac{5}{3}$ and $CD = 12$,find $AB$.

If $\Delta ABC \sim \Delta PQR$ under the correspondence $ABC \leftrightarrow PQR$. If $AB = 12$,$\text{Area}(\Delta ABC) = 36$,and $\text{Area}(\Delta PQR) = 64$,then $PQ = \ldots$

In $\Delta ABC$,$m \angle B = 90^\circ$ and $\overline{BM}$ is an altitude to the hypotenuse $AC$. If $BC = 2x + 2$,$CM = x + 1$,and $AC = 5x$,find the value of $x$.

In $\Delta ABC$,$\Delta PQR$,and $\Delta XYZ$,the correspondences $ABC \leftrightarrow QPR$ and $PQR \leftrightarrow YZX$ are similarities. Then,the correspondence $ABC \leftrightarrow \dots$ is a similarity.

The correspondence $ABC \leftrightarrow XYZ$ between $\Delta ABC$ and $\Delta XYZ$ is a similarity. If $4AB = 5XY$ and $BC = 12$,find $YZ$. (in $.6$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module