# Similarity

## Trending Questions

**Q.**

Two triangles are congruent if they have

Same name

Equal measures

Same shape

Same direction

**Q.**

State whether the given statement is true or false.

Following regular hexagons are similar figures.

True

False

**Q.**

If two figures are identical in shape as well as size, then they are said to be

**Q.**Which of the following figures are similar?

**Q.**

All the corresponding angles of two similar triangles are equal.

True

False

**Q.**

Two triangles are congruent if two angles and the side included between them in one of the triangles are equal to the corresponding angles and the side included between them, of the other triangle. This condition is called

SAS

SSS

ASA

RHS

**Q.**

Jessica is measuring two line segments. The first line segment is $30\text{cm}$ long. The second line segment is $500\text{mm}$ long. How long are the two line segments together?

**Q.**

Match the scale drawing and the actual area to the correct scale.

Column 1 | Column 2 |
---|---|

scale drawing area: $13$ square inches actual area: $117$ square feet |
$1$ inch to $4$ feet |

scale drawing area: $5$ square inches actual area: $125$ square feet |
$1$ inch to $3$ feet |

scale drawing area: $8$ square inches actual area: $128$ square feet |
$1$ inch to $5$ feet |

scale drawing area: $12$ square inches actual area: $48$ square feet |
$1$ inch to $2$ feet |

**Q.**Ramu folds a rectangular sheet of paper twice such that its breadth becomes half in first fold and its length becomes half in second fold. Choose the correct option.

- The folded paper is similar to the original.
- The folded paper is congruent to the original.
- The folded paper is enlarged than the original.
- The folded paper is may not be similar to the original.

**Q.**Which of the following are similar to the figure shown below?

**Q.**

Consider six squares with sides of different lengths. The length of the side of a square is proportional to:

Perimeter of the square

Area of the square

Both of these

None of these

**Q.**Explain, Why △ABC≅△FED

**Q.**

If ΔABC≅ΔPQR , then AB is equal to

Both PR and QR

PR

QR

PQ

**Q.**A square is drawn with a scale factor of 12 with original square. What is the ratio of their areas?

- 12
- 116
- 12
- 14

**Q.**

Two triangles are congruent if they have

Same name

Equal measures

Unequal measures

Same direction

**Q.**

Rahul was folding margined application form of the exam to put it in an envelope. He folded it in such a way that the top margin coincided with the bottom one like in the figure.

It is because both the margins are ________.

Parallel

Having equal length

Not parallel

Having unequal length

**Q.**Statement I : If two triangles are similar, sides are proportional and equal.

Statement II: If two triangles are similar, angles are equal.

- Statement I is true but Statement II is false
- Statement I is false but Statement II is true
- Statement I and Statement II are true
- Statement I and Statement II are false

**Q.**For the given triangles, which of the following is true?

- △ABC∼△PQR
- △ABC∼△QPR
- △BAC∼△PQR
- △BAC∼△QPR

**Q.**Two polygons of the same number of sides are similar, if their corresponding angles are _________ and their corresponding sides are in the _________ ratio.

- equal, same
- unequal, same
- unequal, different
- equal, different

**Q.**Fill in the blank using the correct word given in brackets:

- equal, proportional
- None of these
- proportional, equal
- equal, equal

**Q.**

Draw the image of Delhi Iron pillar(shape frustum) whose actual dimensions are height = 8m, base radius = 2m and top radius = 1m. [4 MARKS]

**Q.**Two figures are said to be similar if they have same

- Edges
- Angles
- Shape
- Line

**Q.**The sides of a regular polygon are _____.

- similar
- equal
- unequal
- congruent

**Q.**Match the following cards, which have two different figures, with their correct ratios:

- 3 : 4
- 3 : 2
- 3 : 7

**Q.**Pick the correct statements.

- For congruency, size must be same.
- Two figures to be similar, they must have same size.
- Two figures to be similar, they must have same shape and proportional size.
- For a figure to be congruent with other, they must have same size and same shape.

**Q.**

If two triangles are similar then all sides of both triangles must be the same.

False

True

**Q.**Choose the correct option.

- All similar triangles are congruent.
- All congruent triangles are similar.
- All congruent triangles cannot be similar.
- Only some of the congruent triangles are similar.

**Q.**

Which of the following are similar?

Circles

Squares

Equilateral triangles

All of the above

**Q.**The line segments of lengths 4 cm and 2 cm are always ___.

- similar
- congruent
- (a) and (b) above.
- dissimilar