You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Fifth Postulate and Playfair's Axiom

In the given ...

Question

In the given figure, lines l, m and n are parallel lines and the lines p and q are transversals. If AB = 5 cm, BC = 15 cm, then DE : EF = ?

Open in App

Solution

Lines l || m || n. Also, p and q are transversal lines.
⇒ AB : BC = 5 : 15 = 1 : 3
∴ DE : EF = 1 : 3 (By intercept theorem)

Suggest Corrections

Similar questions

In the follow diagram, lines l, m and n are parallel to each other. Two transversals p and q intersect the parallel lines l, m and n at points A,B,C and P,Q,R respectively as shown below. Prove that $\frac{A B}{B C} = \frac{P Q}{Q R}$ .

Q. In the figure, two parallel lines l and m are cut by two transversals n and p. Then the values of x and y are:

Q. If l, m, n are three parallel lines and the transversals

t_{1}

and

t_{2}

cut the lines l, m, n at the points A, B, C and P, Q, R as shown in the figure, then:

State true or false:

In the following diagram, lines

l, m

and

n

are parallel to each other. Two transversals

p

and

q

intersect the parallel lines at points

A, B, C

and

P, Q, R

respectively as shown, then:

\frac{A B}{B C} = \frac{P Q}{Q R}

l, m

and

n

are three parallel lines intersected by transversals

p

and

q

such that

l, m

and

n

cut off equal intercepts

A B

and

B C

p

. Show that

l, m

and

n

cut off equal intercepts

D E

and

E F

q

also.

Join BYJU'S Learning Program

In the given figure, lines l, m and n are parallel lines and the lines p and q are transversals. If AB = 5 cm, BC = 15 cm, then DE : EF = ?

Lines l ||​ m ||​ n. Also, p and q are transversal lines. ⇒ AB : BC = 5 : 15 = 1 : 3 ∴ DE : EF = 1 : 3 (By intercept theorem)

Lines l || m || n. Also, p and q are transversal lines.
⇒ AB : BC = 5 : 15 = 1 : 3
∴ DE : EF = 1 : 3 (By intercept theorem)