SAS Similarity Criterion

Q.

Sides $\mathrm{AB},\mathrm{BC}$ and Median $\mathrm{AD}$ of a $\mathrm{\Delta ABC}$ are proportional to sides $\mathrm{PQ},\mathrm{QR}$ and median $\mathrm{PM}$of $\mathrm{\Delta PQR}$ . Prove $∆\mathrm{ABC}~∆\mathrm{PQR}$ .

Q. In $\Delta ABC$, AB = AC and AD is the median. Then by which similarity are the $\Delta ADB$ and $\Delta ADC$ similar?

1. SS
2. SAS
3. SSA
4. AA

Q.

In an isosceles $\Delta ABC$, the base AB has produced both ways in P and Q such that $AP\times BQ=A{C}^2$.

Prove that $\Delta ACP\sim \Delta BCQ$.
$\left[3\right]$

Q. $\Delta$ QAO $\sim$ $\Delta$ PBO by SAS Criteria.

1. \N
2. \N

Q.

In the given figure, ABCD is a trapezium in which
(i) AB || CD
(ii) $\frac{AO}{OC}=\frac{BO}{OD}=\frac{1}{2}$
(iii) AB = 5 cm

Find the value of CD .

1. 10 cm

2. 15 cm

3. 18 cm

4. 20 cm

Q.

In $△$ ABC and $△$ DEF, $\angle$A = $\angle$E = ${40}^{\circ }$ and $\frac{AB}{ED}$ = $\frac{AC}{EF}$. Find $\angle$B if $\angle$F is ${65}^{\circ }$.

1. ${35}^{\circ }$

2. ${65}^{\circ }$

3. ${75}^{\circ }$

4. ${85}^{\circ }$

Q.
Using the information given in the above figure , AC = 6 cm

1. False
2. True