In triangles $ABC$ and $PQR$,$AB = AC$,$\angle C = \angle P$ and $\angle B = \angle Q$. The two triangles are

  • A
    congruent but not isosceles
  • B
    neither congruent nor isosceles
  • C
    isosceles but not congruent
  • D
    isosceles and congruent

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Similar Questions

Two sides of a triangle are of lengths $5\, cm$ and $1.5\, cm$. The length of the third side of the triangle cannot be (in $cm$):

State whether each of the following statements is true or false:
$(1)$ In $\Delta XYZ$,if $XY > XZ$,then $\angle Z > \angle Y$.
$(2)$ In $\Delta ABC$ and $\Delta PQR$,if $\frac{AB}{PR} = \frac{BC}{QP} = \frac{CA}{RQ} = 1$,then $\Delta ABC \cong \Delta RPQ$.

The difference of any two sides of a triangle is $\ldots \ldots \ldots$ than the third side.

$ABC$ is an isosceles triangle with $AB = AC$. $BD$ and $CE$ are its two medians. Show that $BD = CE$.

If the bisector of an angle of a triangle also bisects the opposite side,prove that the triangle is isosceles.

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