Construction of a Triangle with RHS Criterion

Q. In a right angled triangle, represented as RHS , H stands for

1. height
2. hypotenuse
3. hemisphere

Q.

Construct a triangle PQR, in which $\angle$P = 30°, $\angle$Q = 45° and PQ + QR + RP = 22 cm. [4 MARKS]

Q. If the angles of a triangle are ${30}^{\circ },{70}^{\circ }$ and ${80}^{\circ }$, it is a/an ___________ triangle.

1. right angled
2. isosceles
3. acute angled
4. obtuse angled

Q.

Question 2(a):

Identify three triangles in the figure:

Q. A right angled triangle is a triangle with one of it's angle as .

1. ${90}^{\circ }$
2. ${180}^{\circ }$
3. ${360}^{\circ }$

Q. An equilateral triangle is

1. an obtuse angled triangle.
2. a scalene triangle.
3. an acute angled triangle.
4. a right angled triangle.

Q.

Which of the following rule is preferred to draw a triangle exactly identical to a right angled triangle?

1. ASA

2. SSS

3. RHS

4. AAS

Q.

A triangle can be constructed by taking its sides as:

1. $1.8cm,2.6cm,4.4cm$

2. $2cm,3cm,4cm$

3. $2.4cm,2.4cm,6.4cm$

4. $3.2cm,2.3cm,5.5cm$

Q.

Which of the following concepts plays an important role in perpendicular bisector construction?

1. Similar triangles

2. Congruent triangles

3. Isoceles triangle

4. None of these

Q.

Which of the following rule is preferred to draw a triangle exactly identical to a right angled triangle?

1. RHS

2. AAS

3. ASA

4. SSS

Q.

In the given fig., $\angle XYZ$ cannot be written as

1. $\angle Y$
2. $\angle ZXY$
3. $\angle ZYX$
4. $\angle XYP$

Q.

For constructing $\Delta LMN$ exactly identical to $\Delta ABC$, choose from the options, the minimum measurements required.

1. LM, MN and LN

2. MN and LN

3. LM, MN, LN and ∠MLN

4. LM, MN, LN, ∠MLN and ∠MNL

Q. In a right angled triangle, represented as RHS , H stands for

1. height
2. hypotenuse
3. hemisphere

Q. A right triangle DEF is constructed with DE = 5 cm, $\angle F={90}^{\circ }$ and DF = 4 cm. Choose the correct statement from the following.

1. DF is the hypotenuse of $\Delta$ DEF
2. $\angle E+\angle D={180}^{\circ }$
3. EF = 3 cm
4. $\angle E={90}^{\circ }$

Q.

For constructing a triangle, we must know two sides and included angle. Which triangle can be uniquely constructed by knowing two sides and any other angle?

1. Isosceles triangle

2. Equilateral triangle

3. Right angled triangle

4. Scalene triangle

Q. ______ triangle can be uniquely constructed by knowing two sides and any other angle.

1. Equilateral
2. Right angled
3. Scalene
4. Isosceles

Q.

For constructing $\Delta LMN$ exactly identical to $\Delta ABC$, choose from the options, the minimum measurements required.

1. LM, MN and LN

2. LM, MN, LN and $\angle MLN$

3. MN and LN

4. LM, MN, LN, $\angle MLN$ and $\angle MNL$

Q. The circumcentre of a right triangle lies

1. inside the triangle
2. outside the triangle
3. on the hypotenuse
4. on one of the perpendicular sides