Similar Figures

Q.
If in two triangles $\Delta ABCand\Delta PQR,\frac{AB}{QR}=\frac{BC}{PR}=\frac{CA}{PQ}$, then [1 mark]

(a) $\Delta PQR\sim \Delta CAB$
(b) $\Delta PQR\sim \Delta ABC$
(c) $\Delta CBA\sim \Delta PQR$
(d) $\Delta BCA\sim \Delta PQR$

Q.

In both the figures given below, all of the respective sides are equal and all interior angles are ${90}^{\circ }$. Are the figures shown below similar?

1. True

2. False

Q.

Which of the following are similar?

1. Circles

2. Squares

3. Equilateral triangles

4. All of the above

Q. $\text{If}\Delta ABC\sim \Delta PQR\text{and}$ $\Delta PQR\sim \Delta XYZ,\text{then}$ $\Delta ABC\sim \Delta XYZ$

1. True
2. False

Q. All rectangles are similar.

1. False
2. True

Q. If an image is resized and flipped then the both images are____

1. similar
2. congruent
3. congruent but not similar
4. Neither similar nor congruent

Q. Which of the following is correct for given rectangles?

1. Both rectangles are similar.
2. Both rectangles are not similar.
3. Both rectangels are congruent.
4. Both rectangles are neither congruent nor similar.

Q.

Which of the following statements is false?

1. Congruent figures are always similar.

2. All circles are similar.

3. All squares are similar.

4. Similar figures are always congruent.

Q. If a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.

1. True
2. False

Q.

ABC and DEF are similar triangles, identify the corresponding sides.

1. AB and DF

2. BC and DE

3. CA and ED

4. AC and DF