RHS

Q.

In the given figure, AB = EF, BC = DE, AB ⊥ BD and EF ⊥CE. Which of the following criterion is true for ΔABD ΔEFC?

1. AAS

2. SSS

3. SAS

4. ASA

Q.

Two isosceles triangles are on opposite sides of a common base, then by which criterion can we say ΔABD ≅ ΔACD?

1. ASA

2. RHS

3. SAS

4. SSS

Q.

Choose the correct statement

1. Two right triangles are congruent, if hypotenuse and a side of one are respectively equal to the hypotenuse and a side of the other triangle

2. Sides opposite equal angles may be unequal

3. If thee altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles

4. If any two sides of a right triangle are respectively are equal to two sides of the other right triangle, then the two triangles are congruent

Q.

triangle ABC is right angled at C. A line through the midpoint M of hypotenuse AB and parallel to BC intersects Ac at D. Show that MD perpendicular to AC

Q.

Consider the following statements relating to the congruency of two right-angled triangles.

I. Equality of two sides of one triangle with some two sides of the second makes the triangles congruent.

II. Equality of the hypotenuse and a side of one triangle with the hypotenuse and a side of the second respectively makes the triangles congruent.

III. Equality of the hypotenuse and an acute angle of one triangle with the hypotenuse and an angle of the second respectively makes the triangles congruent.

Which of the above statements are true?

1. I, II and III

2. I and II only

3. I and III only

4. II and III only

Q. If $△$PQR $\cong$$△$DEF by RHS criteria, then match the pairs accurately.

1. $\angle$Q
2. ${90}^{\circ }$
3. PR
4. DF
5. PQ
6. DE

Q.

In ΔABC, if AB > BC then:

1. ∠A = ∠B

2. ∠C < ∠A

3. ∠C > ∠A

4. ∠C = ∠A

Q. Select the congruency rules for triangles.

1. SAS
2. TAS
3. ASA
4. AAS
5. HRS
6. SSS
7. RHS
8. AMS

Q. In the quadrilateral ACBD, AB is a diagonal. If AC = AD and AB bisects $\angle A$, by which congruence property is $\Delta ACB\cong \Delta ADB$?

1. S.A.S.
2. A.S.A.
3. S.S.S.
4. R.H.S.

Q.

In $\Delta ABD$, AB = AD and AC is perpendicular to BD. State the congruence rule by which $\Delta ACB\cong \Delta ACD$.

1. SAS congruence rule

2. SSS congruence rule

3. RHS congruence rule

4. ASA congruence rule

Q. Pick the option which matches the two columns.

1. $\left(A\right)\to q;\left(B\right)\to s;\left(C\right)\to p;\left(D\right)\to r$
2. $\left(A\right)\to q;\left(B\right)\to p;\left(C\right)\to r;\left(D\right)\to s$
3. $\left(A\right)\to s;\left(B\right)\to p;\left(C\right)\to q;\left(D\right)\to r$
4. $\left(A\right)\to s;\left(B\right)\to r;\left(C\right)\to p;\left(D\right)\to q$

Q.

In the given figure, O is equidistant from the sides AC and AB. Then the value of x - 3 is ___.

Q. Choose the correct pair.

1. RHS
2. ASA
3. AAS
4. Angle-angle-side
5. Angle-side-angle
6. Right triangle

Q. According to RHS rule of congruency, the two right triangles are congruent if the sides opposite to hypotenuses are equal and ____ are equal.

1. Bases
2. Hypotenuses
3. None of the above
4. (a) and (b) above.

Q. ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB is parallel to BC and intersects AC at D. Then, AD = DC.

1. True
2. False

Q.

Which congruency criterion could be used to check for congruency of two right-angled triangles?

1. ASA congruency

2. SAS congruency

3. RHS congruency

4. SSS congruency