Similar Triangles

Q.

$△$ ABC is such that AB = 3 cm, BC = 2 cm and CA = 2.5 cm.$△$ DEF is similar to $△$ABC. If EF = 4 cm, then the perimeter of $△$DEF is

1. 7.5 cm

2. 15 cm

3. 30 cm

4. 22.5 cm

Q. In similar triangles,
1. The corresponding angles are equal.
2. The corresponding sides are always equal.
3. The corresponding sides are always proportional.

1. Only 1 is true.
2. Only 1 & 3 are true.
3. Only 1 & 2 are true.
4. Only 3 is true.

Q.

If $\Delta \text{ABC}\sim \Delta \text{PQR}$, identify the pairs of corresponding sides.

1. AB and QR

2. BC and QR

3. AC and PR

4. AB and PQ

Q. The sides of $\Delta \text{ABC}$ are 6 cm, 8 cm and 10 cm. Find the perimeter of the larger triangle which is similar to $\Delta \text{ABC}$ if the ratio of corresponding sides is 2.
[2 marks]
[Similar Triangles]

Q. The sides of $\Delta \text{ABC}$ are AB = 6cm, BC = 8cm and CA =10cm. Find the perimeter of the larger triangle $\Delta \text{XYZ}$ which is similar to $\Delta \text{ABC}$, if the ratio of their corresponding sides is 2.

1. 48 cm
2. 36 cm
3. 24 cm
4. 12 cm

Q. Statement I : If two triangles are similar, their sides are proportional.
Statement II: If two triangles are similar, their angles are equal.

1. Statement I is true but Statement II is false
2. Statement I is false but Statement II is true
3. Statement I and Statement II are true
4. Statement I and Statement II are false

Q.

In a similar triangle,

I. The corresponding angles are equal.

II. The corresponding sides are always equal.

III. The corresponding sides are always proportional.

1. All are true.

2. Only 1 & 2 are true.

3. Only 1 is true.

4. Only 1 & 3 is true.

Q.

In $△ABC$, the medians AD, BE and CF are drawn on sides BC, AC and AB respectively and $△ADC\sim △BEC$. What can you say about $△ABC$?

1. right angled isosceles

2. right angled

3. None of the above

4. isosceles

Q.

S1: If two triangles are similar, sides are proportional.
S2: If two triangles are similar, angles are equal.

1. S1 is false but S2 is true

2. S1 and S2 are false

3. S1 and S2 are true

4. S1 is true but S2 is false

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. 35º

2. 65º

3. 75º

4. 85º