Postulate5

Q. The line that intersects two parallel lines is called a/an

1. Equivalent line
2. Corresponding line
3. Transversal
4. Origin line

Q. Does AAS and ASA congruence rule are same?

Q. The angle between two parallel lines is ___.

1. $0^o$
2. ${180}^o$
3. ${90}^o$
4. ${360}^o$

Q. The sum of angles of a triangle is a constant and is equal to .

1. two right angles
2. one right angle
3. three right angle
4. four right angle

Q.

Two angles forming a linear pair are _______________.

Q. A straight line is an angle with ___ measurement.

1. ${90}^o$
2. ${180}^o$
3. ${360}^o$
4. ${45}^o$

Q. If the angles in a triangle are in the ratio 1 : 1 : 2, what kind of a triangle is it?

1. Right angled isosceles triangle
2. Equilateral triangle
3. Obtuse angled triangle
4. Scalene triangle

Q. In Δ ABC, if u∠B = 60°, ∠C = 80° and the bisectors of angles ∠ABC and ∠ACB meet at a point O, then find the measure of ∠BOC.

Q. In the given figure, if MN $\parallel$ PQ, then find the value of $x$.

1. ${65}^o$
2. ${75}^o$
3. ${35}^o$
4. ${140}^o$

Q.

Why the angle sum property of a triangle is 180 degree???

Q. PQR is a triangle in which \angle Q = 2\angle R. If a line PS is drawn from vertex P such that it bisects \angle QPR and cuts QR at S such that PQ = RS, then what is the value of \angle QPR + \angle QRP?

Q. If a transversal passes through two parallel lines, then the interior angles on the same side of the transversal add up to:

1. 90${}^{\circ }$
2. 180${}^{\circ }$
3. 120${}^{\circ }$
4. 360${}^{\circ }$

Q.
In the above figure, if AB $\parallel$ CD, then which of the following is true?

1. $\angle$$APQ$ = $\angle$ $QPB$
2. $\angle$$APQ$ = $\angle$ $CQP$
3. $\angle$$APQ$ + $\angle$ $CQP$ = $180$ ${}^{\circ }$
4. $\angle$$CQP$ + $\angle$ $QPB$ = $180$ ${}^{\circ }$

Q.

In triangle PQR, ST is a line intersecting PQ and PR in S and T respectively such that ST ||QR. If PS=x, SQ=2, PT=x+3, TR=x-3.What is the value of x?

1. 4

2. 6

3. 8

4. 9

Q. 1) Can we draw an equilateral triangle with each angle having a measure of 70 degrees?
2) While constructing a perpendicular bisector, can we take exactly half of the radius of that line and draw the arcs?If not why?

Q.

Which of the following option(s) is/are correct when a transversal intersects two parallel lines?

1. Corresponding angles are equal
2. Alternate angles are equal
3. Vertically opposite angles are equal
4. Complementary angles are equal

Q. If $\text{l}$ $\parallel$ $\text{m}$ and $\text{m}$ $\parallel$ $\text{n}$, what can be said about l and n?

Q.

If QP $\parallel$ BC, what is the measure of $\angle$QAB ?

1. 33 ${}^{\circ }$

2. $y$

3. $x+y$
4. $x$

Q. In the given figure, O is the centre of a circle and ∠OAB = 50°. Then, ∠BOD = ?
(a) 130°
(b) 50°
(c) 100°
(d) 80°

Q. If $\text{l}$ $\parallel$ $\text{m}$ and $\text{m}$ $\parallel$ $\text{n}$, what can be said about l and n?

1. l $\parallel$ n
2. l $\perp$ n
3. l and n intersect at an angle of 60${}^{\circ }$.
4. Nothing can be said.

Q. In a triangle, if the sum of two angles is ${150}^{\circ }$, what is the third angle equal to?

1. ${150}^{\circ }$
2. ${90}^{\circ }$
3. ${120}^{\circ }$
4. ${30}^{\circ }$

Q. What is the sum of all the angles in a triangle?

1. 100 ${}^{\circ }$
2. 180 ${}^{\circ }$
3. 270 ${}^{\circ }$
4. 120 ${}^{\circ }$

Q.
In the above figure, if AB$\parallel$CD and $\angle$APQ = 120${}^{\circ }$, what is the ratio of $\angle$APQ to $\angle$CQP?

Q. Let ABC be a triangle in which AB = AC . Let I be its incentre . Suppose that BC =AB+AI . Find angle BAC

Q.

The angles of a triangle are in the ratio $1:2:3$ the triangle is

1. right-angled

2. scalene

3. isosceles

4. equilateral

Q. 6. Let ABC be a right-angled triangle with /_B=90 degree. Let I be the incentre of ABC. Let AI extended intersect BC at F. Draw a line perpendicular to AI at I. Let it intersect AC at E. Prove that IE=IF.

Q.

The acute angles of a right triangle are in the ratio $4:5$ Find the measure of these angles.

Q.

In the figure name the parallel line segments$.$

Q.

What is the difference between ASA congrueny and AAS conguency?

Q. In the given figure, if $AB||CD,\angle APQ={50}^{\circ }and\angle PRD={127}^{\circ }$, the value of y is

1. ${77}^{\circ }$
2. ${127}^{\circ }$
3. ${130}^{\circ }$
4. ${50}^{\circ }$