Similarity

Two triangles are congruent if they have

1. Same name

2. Equal measures

3. Same shape

4. Same direction

State whether the given statement is true or false.
Following regular hexagons are similar figures.

1. True

2. False

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

All the corresponding angles of two similar triangles are equal.

1. True

2. False

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

1. SAS

2. SSS

3. ASA

4. RHS

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?

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

1. The folded paper is similar to the original.
2. The folded paper is congruent to the original.
3. The folded paper is enlarged than the original.
4. The folded paper is may not be similar to the original.

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

1. Perimeter of the square

2. Area of the square

3. Both of these

4. None of these

If $\Delta ABC\cong \Delta PQR$ , then AB is equal to

1. Both PR and QR

2. PR

3. QR

4. PQ

1. $\frac{1}{2}$
2. $\frac{1}{16}$
3. $\frac{1}{2}$
4. $\frac{1}{4}$

Two triangles are congruent if they have

1. Same name

2. Equal measures

3. Unequal measures

4. Same direction

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 ________.

1. Parallel

2. Having equal length

3. Not parallel

4. Having unequal length

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

1. $△ABC\sim △PQR$
2. $△ABC\sim △QPR$
3. $△BAC\sim △PQR$
4. $△BAC\sim △QPR$

1. equal, same
2. unequal, same
3. unequal, different
4. equal, different

1. equal, proportional
2. None of these
3. proportional, equal
4. equal, equal

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

1. Edges
2. Angles
3. Shape
4. Line

1. similar
2. equal
3. unequal
4. congruent

1. 3 : 4
2. 
3. 3 : 2
4. 3 : 7
5. 
6. 

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

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

1. False

2. True

1. All similar triangles are congruent.
2. All congruent triangles are similar.
3. All congruent triangles cannot be similar.
4. Only some of the congruent triangles are similar.

Which of the following are similar?

1. Circles

2. Squares

3. Equilateral triangles

4. All of the above

1. similar
2. congruent
3. (a) and (b) above.
4. dissimilar