SSS Similarity

Q.

If $\frac{PQ}{QR}=\frac{YZ}{ZX}$ and $\frac{QR}{PR}=\frac{ZX}{YX}$ , then

1. $△PQR\sim △YZX$

2. $△RPQ\sim △YZX$

3. $△PQR\sim △XYZ$

4. They are not similar

Q. In $\Delta ABC$, AD is the median. Which of these conditions should be satisfied to make $\Delta ADB$ and $\Delta ADC$ similar triangles?

1. $\angle A={90}^{\circ }$
2. $AB=AC$
3. $BD=AD$
4. $\angle B=\angle A$

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

1. SSS
2. SAS
3. Both a and b
4. None of these

Q.

For the given triangles, which of the following is true?

1. $△PQR\sim △YZX$

2. $△RPQ\sim △YZX$

3. $△PQR\sim △ZYX$

4. None of the above

Q.

$\text{If in}△CAB\text{and}△FED,$

$\frac{AB}{EF}=\frac{BC}{FD}=\frac{AC}{ED}$,

$\text{then which of the following is true?}$

1. $△ABC\sim △DEF$

2. $△ABC\sim △EFD$

3. $△CAB\sim △EFD$

4. $△CAB\sim △FED$

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

Q. In $\Delta ABC$, AD is the median. Which of these conditions should be satisfied to make $\Delta ADB$ and $\Delta ADC$ similar triangles?

1. $\angle A={90}^{\circ }$
2. $AB=AC$
3. $\angle B=\angle A$
4. $BD=AD$

Q.

If $\frac{PQ}{QR}=\frac{YZ}{ZX}$ and $\frac{QR}{PR}=\frac{ZX}{YX}$ , then

1. $△PQR\sim △YZX$

2. $△RPQ\sim △YZX$

3. $△PQR\sim △XYZ$

4. They are not similar

Q. $△ABC$ and $△DEF$ are similar such that $2AB=DE$ and $BC=8cm$. Find $EF$.

1. $16cm$
2. $12cm$
3. $8cm$
4. $4cm$

Q.

If two sides of a triangle are proportional to two sides of another triangle then the triangles are similar.

1. True

2. False