Maths-

General

Easy

Question

# If Q is the midpoint of PR, prove that PR = 2 PQ.

Give a two-column proof.

Hint:

### Use Segment Addition Postulate

## The correct answer is:

### SOL – If Q is mid – point Þ PQ = QR ---- (1)

Using Segment Addition Postulate,

We get, PR = PQ + QR

PR = PQ + PQ

PR = 2 PQ

Hence Proved.

### Related Questions to study

Maths-

### Compare 𝑚∠𝑃𝑂𝑄𝑎𝑛𝑑∠𝑆𝑂𝑇.

### Compare 𝑚∠𝑃𝑂𝑄𝑎𝑛𝑑∠𝑆𝑂𝑇.

Maths-General

Maths-

### Which postulate will you use to prove that PR = PQ + QR?

### Which postulate will you use to prove that PR = PQ + QR?

Maths-General

Maths-

### Solve the system of equations by elimination :

X - 2Y = - 2

3X + 2Y = 30

### Solve the system of equations by elimination :

X - 2Y = - 2

3X + 2Y = 30

Maths-General

Maths-

### Solve the following by using the method of substitution

Y = 4X+2

Y = X+8

### Solve the following by using the method of substitution

Y = 4X+2

Y = X+8

Maths-General

Maths-

### If lines l and m are parallel, find the value of x.

### If lines l and m are parallel, find the value of x.

Maths-General

Maths-

Prove that: PR = PQ + QR

Give a two-column proof

Prove that: PR = PQ + QR

Give a two-column proof

Maths-General

Maths-

### Find x and hence find 𝑚∠𝐶𝑂𝐷

### Find x and hence find 𝑚∠𝐶𝑂𝐷

Maths-General

Maths-

### Solve the system of equations by elimination :

X - Y = 4

2X + Y = 5

### Solve the system of equations by elimination :

X - Y = 4

2X + Y = 5

Maths-General

Maths-

### Use Substitution to solve each system of equations :

X = -Y + 3

3X - 2Y = -1

### Use Substitution to solve each system of equations :

X = -Y + 3

3X - 2Y = -1

Maths-General

Maths-

### Express all the angles in terms of x.

### Express all the angles in terms of x.

Maths-General

Maths-

### Solve the following by using the method of substitution

X = 4Y+1

2Y - 3X = - 23

### Solve the following by using the method of substitution

X = 4Y+1

2Y - 3X = - 23

Maths-General

Maths-

### An online clothing company cells custom sweatshirts . The company charges $ 6.50 for each sweatshirt and a flat fee of $3.99 for shipping.

a) Write a linear function in the form y= mx + b that represents the total cost ,y in dollars , for a single order of x sweatshirts.

b) Describe how the linear function would change if the shipping charge applied to each sweatshirt.

### An online clothing company cells custom sweatshirts . The company charges $ 6.50 for each sweatshirt and a flat fee of $3.99 for shipping.

a) Write a linear function in the form y= mx + b that represents the total cost ,y in dollars , for a single order of x sweatshirts.

b) Describe how the linear function would change if the shipping charge applied to each sweatshirt.

Maths-General

Maths-