Questions Related to maths

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

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

  1. False

  2. Both A and C

  3. True

  4. Not applicable

Reveal answer Fill a bubble to check yourself
C Correct answer
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.

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

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?

  1. 23 m

  2. 32 m

  3. 42 m

  4. 24 m

Reveal answer Fill a bubble to check yourself
B Correct answer
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.

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

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.

  1. Not similar

  2. Ambiguous

  3. Same size

  4. Similar

Reveal answer Fill a bubble to check yourself
D Correct answer
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.

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

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?

  1. Not sure

  2. Similar

  3. Not similar

  4. Cannot be possible

Reveal answer Fill a bubble to check yourself
B Correct answer
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.