Hypotenuse Leg Congruence

Q.

In the following figures, which pairs of triangles are congruent by SAS congruence condition? If congruent, write the congruence of two triangles in the symbolic form :

Q. When the hypotenuses and the corresponding sides of two right triangles are equal, then the two triangles are congruent.

1. True
2. False

Q.
In the above figure, $DE=DF,DE\perp AB,DF\perp AC$ then which of the following is true?

1. $\angle EDB=\angle FDC$
2. $\angle DBE=\angle DCF$
3. $\angle ADE=\angle ADF$

Q.

In the following figures, which pairs of triangles are congruent by SAS congruence condition? If congruent, write the congruence of two triangles in the symbolic form :

Q. In the figure shown below, $\Delta ABC\cong$

1. $△PQR$
2. $△RQP$
3. $△PRQ$

Q. Under SAS congruency, corresponding two sides and the included angle of the two triangles should be equal.

1. Yes
2. No

Q.

In $△ABC$ and $△PQR$, if $\angle A=90°$, $AC$ $=6cm$, $BC=9cm$, and $\angle Q=90°$, $PR=9cm$, $PQ=6cm$, then using RHS criterion we have $△ABC\cong △$_______.

Q. A - A - S congruency $⟺$ A - S - A congruency

1. True
2. False

Q.
If $AD$ and $BC$ are both perpendicular to $AB$, and $BD=AC$, then $\Delta ABC$ is congruent to

1. $\Delta BAD$
2. $\Delta ADB$
3. $\Delta BAD\&\Delta ADB$

Q. For the given diagram,

1. $△PRQ\cong △CAB$
2. $△PRQ\cong △CBA$
3. $△PRQ\cong △ABC$

Q. Which of the following pair of triangles are congruent by the hypoteneous leg congruency condition?

1. 
2. 
3. 
4. All of the above

Q. Which of the following congruency rule satisfies congruency of both given triangles using given information only.

1. Side-Side-Side
2. Side-Angle-Side
3. Angle-Side-Angle
4. Hypotenuse Leg Congruency

Q.
For the diagram above, both the triangles are

1. Congruent by ASA or SSS congruency
2. Congruent by Hypotenuse Leg or SSS congruency
3. Not congruent

Q. Hypotenuse leg congruence rule is applicable in

1. All triangles
2. All triangles except Acute angled triangles
3. Only right angled triangles
4. Only in obtuse angled triangles

Q. Which two triangles are congruent and by which congruent condition. ?

1. $\Delta$ $\text{ABC}\cong$ $\Delta$ $\text{DEC}\left(\text{Hypotenuse Leg}\right)$
2. $\Delta$ $\text{ABC}\cong$ $\Delta$ $\text{CED}\left(\text{SAS}\right)$
3. $\Delta$ $\text{CAB}\cong$ $\Delta$ $\text{DEC}\left(\text{ASA}\right)$
4. All are correct