Tag: maths

Questions Related to maths

Similarity is represented by :

maths congruence introduction to shapes similarity of triangles introduction to similar triangles

  1. $\sim$

  2. $=$

  3. $\simeq $

  4. none of these

Show answer
Correct Option: A
Explanation:

$\sim$ is used to represent similarity.

So, answer is option $A.$

When the ratios of the lengths of their corresponding sides are equal, then the two figures are:

maths congruence introduction to shapes similarity of triangles introduction to similar triangles

  1. similar

  2. congruent

  3. equal

  4. none of these

Show answer
Correct Option: A
Explanation:

When the ratios of the lengths of their corresponding sides are equal, then the two figures are then those figure are similar by $SSS$ similarity.

Two triangles are $ABC$ and $PQR$ are similar, then symbolically it is represented as:

maths congruence introduction to shapes similarity of triangles introduction to similar triangles

  1. $ABC \sim PQR$

  2. $ABC \simeq PQR$

  3. $ABC = PQR$

  4. none of these

Show answer
Correct Option: A
Explanation:

Two similar triangles can be represented as $ABC∼PQR.$

All congruent figures are similar but the similar figures are not congruent.Is this statement true or false?

maths congruence introduction to shapes similarity of triangles introduction to similar triangles

  1. False

  2. Both A and C

  3. True

  4. Not applicable

Show answer
Correct Option: C
Explanation:

Congruent figures are of same shape and size. So they are similar but similar figures are not congruent as they might not be of the same size.
Therefore, C is the correct answer.

A tree of height 24m standing in the middle of the road casts a shadow  ofheight 16m. If at the same time a nearby pole of 48 m casts a shadow , what would the height of the shadow be?

maths congruence introduction to shapes similarity of triangles introduction to similar triangles

  1. 23 m

  2. 32 m

  3. 42 m

  4. 24 m

Show answer
Correct Option: B
Explanation:

If the ratio of the tree is 3 : 2 = 24 m : 16 m 
The ratio of the pole is  same so 48m : 32m
Therefore, B is the correct answer.

There were three circular tracks made in a park having the same middle point but their radii was different. These tracks will be called

maths congruence introduction to shapes similarity of triangles introduction to similar triangles

  1. Not similar

  2. Similar

  3. Congruent

  4. All of the above

Show answer
Correct Option: B
Explanation:

They are said to be similar as the shape is same but size differs.
Therefore, B  is the correct answer.

All ......... triangles are similar.

maths congruence introduction to shapes similarity of triangles introduction to similar triangles

  1. Right angled

  2. Isoscles

  3. Equilateral

  4. Reflex

Show answer
Correct Option: C
Explanation:

All Equilateral  triangles , corresponding angles are equal .So, they are similar.
Therefore, C is the correct answer.

Anna went to the market to buy some boxes to store things. She was surprised to find boxes one inside the other. They were ....... boxes.

maths congruence introduction to shapes similarity of triangles introduction to similar triangles

  1. Not similar

  2. Ambiguous

  3. Same size

  4. Similar

Show answer
Correct Option: D
Explanation:

As the boxes were fitting one inside the other they were similar as they were of same shape ,but their size was different.
Therefore, D is the correct answer.

If two triangles are ____ they are similar.

maths congruence introduction to shapes similarity of triangles introduction to similar triangles

  1. Not equal

  2. Equiangular

  3. Different

  4. Not proportionate

Show answer
Correct Option: B
Explanation:

If the corresponding angles are equal then the triangles are similar .Hence if two triangles are Equiangular then the triangles are similar.

When one acute angle of a triangle is equal to one acute angle of other triangle, and the triangles are right angles, do you think the triangles are similar?

maths congruence introduction to shapes similarity of triangles introduction to similar triangles

  1. Not sure

  2. Similar

  3. Not similar

  4. Cannot be possible

Show answer
Correct Option: B
Explanation:

Given one acute angle is equal and both triangles are right angled . Hence one angle of both triangles is $90^{\circ}$ each.

Hence the triangles are similar by $AA$ similarity criteria.
Option $B$ is correct.