Congruency

Q. The figures that are the same in shape and size are called ___________ figures.

1. concurrent
2. common
3. congruent
4. similar

Q.

Two figures are congruent if they have

1. same area

2. same shape and size

3. same size

4. same shape

Q. If the lengths of two line segments are equal, then they are said to be _______.

1. parallel
2. congruent
3. perpendicular
4. concurrent

Q. In the given figure, $△PRT$ is an equilateral triangle. Line segments TQ and PS are perpendicular bisectors to side PR and side TR respectively. Which of these statement(s) is/are correct?

1. $△PQT\cong △RQT$
2. $△TSP\cong △RSP$
3. $△RSP\cong △PQT$
4. None of the above.

Q.

In $△ABC,$ the ratio of altitudes $BE$ and $CF$ is equal to one. What can be said about the nature of $△ABC?$

1. Scalene

2. Isoceles

3. Data is not enough

4. Equilateral

Q. 16. How to prove the given four points are concyclic.

Q. If the length of two line segments are equal, then the two segments are _________.

1. parallel
2. linear
3. congruent
4. perpendicular

Q. Which of the following statements are true$\left(T\right)$ and which are false$\left(F\right)$

$i)$ Sum of three angles of triangle is ${180}^{\circ }$

Q. In fig AC=XD, C is the mid point of AB and D is the mid point of the segmentAB PandQ are the mid point of the line segment AC and BC respectively. Prove that AP=BQ=1/4AB

Q.

In the given figure, if $BE=CF,$ then which of these following options is correct?

1. $\Delta ABC\cong \Delta ACF$

2. $\Delta ABE\cong \Delta ACF$

3. $\Delta AEB\cong \Delta ABC$

4. $\Delta ABE\cong \Delta CBF$

Q.
If $△ABC\cong △QRP$ , then match the corresponding parts of congruent triangles .

1. $\angle P$
2. $\angle R$
3. $\overline{AB}$
4. $\overline{QR}$
5. $\angle C$
6. $\overline{PQ}$
7. $\angle B$
8. $\overline{CA}$

Q. Which of the following shapes can be congruent?

1. Two circles
2. One triangle and one circle
3. One triangle and one square
4. One circle and one square

Q. Which of the following pair of letters are congruent?

1. A and V
2. p and q
3. E and F
4. c and o

Q. If triangles ABC and EFG are congruent, then angle B is equal to?

1. F
2. E
3. G
4. cannot be determined

Q. Prove that there is one and only one circle passing through three non-collinear points.