Congrueny of Triangles

Q.

Question 1 (b)
Complete the following statement:
Among two congruent angles one has a measure of ${70}^{\circ }$, the measure of other angle is ___.

Q. Question 7
O is a point in the interior of a square ABCD such that OAB is an equilateral triangle. Show that $\Delta OCD$ is an isosceles triangle.

Q. Consider three angles $\angle ABC,\angle PQRand\angle LMN$. If $\angle ABC\cong \angle PQRand\angle PQR\cong \angle LMN,then\angle ABC\cong \angle LMN$.

1. True
2. False

Q.

Consider three angles ABC, PQR and LMN. If
$\angle ABC\cong \angle PQR$
and
$\angle PQR\cong \angle LMN$,
then
$\angle ABC\cong \angle LMN$

1. False

2. True

Q. If the ratio of areas of two equilateral congruent triangles of side length equal to 7 cm is $\frac{\text{x}}{\text{y}}$, then find the value of x + y?[$\frac{\text{x}}{\text{y}}$ is a simple ratio]

1. 2

Q.

Consider the figure and choose the correct option.

1. $\Delta ABC\cong \Delta DEF$

2. $\Delta ABC\cong \Delta DFE$

3. $\Delta ABC\cong \Delta FED$​

4. $\Delta ABC$ $≆$ $\Delta FED$​

Q.

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

1. QR

2. PR

3. PQ

4. Both PR and QR

Q. What is the measure of the $\angle D$?

1. ${53}^{\circ }$
2. ${37}^{\circ }$
3. ${90}^{\circ }$
4. ${33}^{\circ }$

Q.

Consider three angles ABC, PQR and LMN. If
$\angle ABC\cong \angle PQR$
and
$\angle PQR\cong \angle LMN$,
then
$\angle ABC\cong \angle LMN$

1. True

2. False

Q.

Among two congruent angles, one has a measure of ${60}^o$, the measure of the other angle is ___(in degrees).

Q.

Consider the figure below:

If $\Delta BOC\cong \Delta AOD$ , and $\angle$ $DOA={30}^o$, then what is the measure of $\angle BCO$ (in degrees) ?

___

Q. The faces of a regular triangular pyramid are:

1. congruent
2. similar
3. congruent but not similar
4. similar but not congruent

Q.

If in $△ABC$, $AB=10cm$, $\angle CAB$ = ${30}^{\circ }$ and $\angle CBA$ = ${60}^{\circ }$ and in $△DEF$, $FE=10cm$, $\angle DFE={30}^{\circ }$, $\angle DEF={60}^{\circ }$; then, select the correct statement.

1. ΔBAC $\cong$ ΔFDE

2. ΔBCA $\cong$ ΔEFD

3. ΔABC $\cong$ ΔFDE

4. ΔABC $\cong$ ΔFED

Q.

If $\Delta ABC\cong \Delta RQP$ , then $\angle P$ = _____ .

1. $\angle A$

2. $\angle C$

3. $\angle B$

4. Both $\angle A$ and $\angle B$

Q.

Given that ACBD is a kite. By which congruency property are the triangles ACB and ADB congruent?

1. SSS property

2. SAS property

3. RHS property

4. ASA property

Q. If $\Delta \text{XYZ}$ and $\Delta \text{ABC}$ are congruent, then which of the following is true?

1. XY = AB, YZ = BC and ZX = AC
2. Both the triangles can overlap
3. Area($\Delta \text{ABC})$ = Area($\Delta \text{XYZ})$
4. All of the above.

Q.

There is a park with two triangular jogging tracks. Rahul and Arjun went for jogging. The park had a route map which mentioned that the sides of jogging tracks with the same colour have the same length and nothing was mentioned about different coloured sides.

Which of the following is true?

1. Red track = Green track
2. Black track = Red track
3. Blue track = Green track
4. Black track = Green track