Tag: congruence

Quizzes (1) Questions (67)

Questions Related to congruence

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.

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

If the angles of one triangle $ABC$ are congruent with the corresponding angles of triangle $DEF$, which of the following is/are true?

  1. The two triangles are congruent but not necessarily similar.

  2. The two triangles are similar but not necessarily congruent.

  3. The two triangles are both similar and congruent.

  4. The two triangles are neither similar nor congruent.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Only the angles of two triangles being congruent meaning the same, implies that the triangles are similar, since there could be many triangles having those angles but of varied sizes, just enlarging the sides in proportion.

For congruency, atleast one side has to be taken into account while writing the congruency test.

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

Which of the following is true?

  1. The ratio of sides of two similar triangles is same as the ratio of their corresponding altitudes.

  2. The ratio of sides of two similar triangles is same as the ratio of their corresponding perimeters.

  3. The ratio of sides of two similar triangles is same as the ratio of their corresponding area

  4. The ratio of sides of two similar triangles is same as the ratio of their corresponding medians.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Option A is correct as it is the property of similar triangle