R. D. Sharma Solutions for Chapter: Congruent Triangles, Exercise 7: VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)

If $ABC$ and $DEF$ are two triangles such that $AC=2.5 \mathrm{cm}, BC=5 \mathrm{cm}, \angle C=75°, DE=2.5 \mathrm{cm}, DF=5 \mathrm{cm}$ and $\angle D=75°$. Are two triangles congruent?

In two triangles $ABC$ and $ADC$, if $AB=AD$ and $BC=CD$. Are they congruent?

In triangles $ABC$ and $CDE$, if $AC=CE, BC=CD, \angle A=60°, \angle C=30°$ and $\angle D=90°$. Are two triangles congruent?

 $ABC$ is an isosceles triangle in which $AB=AC$. $BE$ and $CF$ are its two medians. Show that $BE=CF$.

Find the measure of each angle of an equilateral triangle.

$CDE$ is an equilateral triangle formed on a side $CD$ of a square $ABCD$. Show that $\mathit{△}ADE\cong △BCE$.

Prove that the sum of three altitudes of a triangle is less than the sum of its sides.

In the given figure, if $AB=AC$ and $\angle B=\angle C$. Prove that $BQ=CP$.