In the adjoining figure, each angle is shown by a letter. Fill in the boxes with the help of the figure.

Corresponding angles.

(1) ∠p and ____

(2) ∠q and ____

(3) ∠r and ____

(4) ∠ s and _____ Interior alternate angles.

(5) ∠s and _____

(6) ∠w and _____

Concept: Pairs of Lines - Transversal

Observe the angles shown in the figure and write the following pair of angle.

Interior alternate angles

Concept: Pairs of Lines - Transversal

Observe the angles shown in the figure and write the following pair of angle.

Corresponding angles

Concept: Pairs of Lines - Transversal

Observe the angles shown in the figure and write the following pair of angle.

Interior angles

Concept: Pairs of Lines - Transversal

**Choose the correct alternative. **

In the adjoining figure, if line m || line n and line p is a transversal then find x.

Concept: Pairs of Lines - Transversal

**Choose the correct alternative. **

In the adjoining figure, if line a || line b and line l is a transversal then find x.

Concept: Pairs of Lines - Transversal

In the adjoining figure line p || line q. Line t and line s are transversals. Find measure of ∠x and ∠y using the measures of angles given in the figure.

Concept: Pairs of Lines - Transversal

Express the following number in index form.

Fifth root of 13

Concept: Concept of Exponents

Express the following number in index form.

Sixth root of 9

Concept: Concept of Exponents

Express the following number in index form.

Square root of 256

Concept: Concept of Exponents

Express the following number in index form.

Cube root of 17

Concept: Concept of Exponents

Express the following number in index form.

Eighth root of 100

Concept: Concept of Exponents

Express the following number in index form.

Seventh root of 30

Concept: Concept of Exponents

In LMN, _____ is an altitude and _____ is a median. (write the names of appropriate segments.)

Concept: Altitudes of a Triangle

Draw an acute angled Δ PQR. Draw all of its altitudes. Name the point of concurrence as ‘O’.

Concept: Altitudes of a Triangle

Draw a right angled Δ XYZ. Draw its medians and show their point of concurrence by G.

Concept: Altitudes of a Triangle

Fill in the blanks.

Point G is the centroid of ABC.

(1) If l(RG) = 2.5 then l(GC) = _____

(2) If l(BG) = 6 then l(BQ) = _____

(3) If l(AP) = 6 then l(AG) = _____ and l(GP) = _____

Concept: Altitudes of a Triangle

Show the following numbers on a number line. Draw a separate number line for each example.

(1)`3/2 , 5/2 , -3/2`

(2)`7/5 , (-2)/5 , (-4)/5`

(3) `(-5)/8 , 11/8`

(4)`13/10 , (-17)/10`

Concept: Rational Numbers on a Number Line

Observe the number line and answer the questions.

(1) Which number is indicated by point B?

(2) Which point indicates the number `1 3/4` ?

(3) State whether the statement, ‘the point D denotes the number `5/2`’ is true or false.

Concept: Rational Numbers on a Number Line

Show the following numbers on a number line. Draw a separate number line for each example.

`3/2 , 5/2 , -3/2`

Concept: Rational Numbers on a Number Line