Question

Select the correct alternative and answer the following : 4M

1. In ∆XYZ, if ∠ > ∠ then, ____________ .

A) YZ > XZ B) XY > C) XY< XZ D) YZ < XZ .

2. Find d(A,B), if co-ordinates of A and B are −3 and 5 respectively.

A) 2 B) 8 C)− 8 D) −2

3. Two parallel lines are intersected by a transversal . If measure of one of the alternate interior

angles is 55° then the measure of the other angle is ___________ .

A) 125° B) 35° C) 55° D) 75°

4. Which of the following statement is true ?

A) sin = tan 90 − B)cos = tan 90 − C) tan = tan 90 − D)cos = sin90 −

B. Solve the following: 4M

1. Find the value of 2 sin 30° + cos 0° + 3 sin90°

2. Points X,Y,Z are collinear such that d(X,Y)=15 , d(Y,Z) =9 , find d(X,Z) =?

Q.II. A. Complete and write the following activity: 4M

1. In ∆ ∠ = 70°, ∠ = 65° , then find ∠.

Solution: In ∆,

∠ + ∠ + ∠ = (Sum of the measure of all angles of triangle)

+ 65° + ∠ = 180°

∠ = 180° −

∠ = .

2. Observe the information shown in pairs of triangles given below. State the test by which the two

triangles are congruent. Write the remaining congruent part s of the triangles.

Contd..2..​

Answer 1

Step-by-step explanation:

1). A

2). d(A, B)

d(-3+5)

d(2)

D= 2

3). measure of one interior angle = 55°

As, sum of two opposite interior angle=180°

55°+x=180°

x = 180°-55°

x = 125°

B.

Q. ii)

< =70°,< =65° then find <

In∆ sum of all three sides = 180°

<+<+< = 180°

•70°+65°+< = 180°

•135°+< = 180°

• < = 180°-135°

• < = 45°

Hence, the third angle of ∆ is 45°