AP State Syllabus AP Board 6th Class Maths Solutions Chapter 8 Basic Geometric Concepts Unit Exercise Textbook Questions and Answers.

## AP State Syllabus 6th Class Maths Solutions 8th Lesson Basic Geometric Concepts Unit Exercise

Question 1.

In the given figure, measure the length of AC. Check whether

i) AB + AC > AC

ii) AC > AD – DC

Solution:

In the given figure, AB = 4.2 cm; BC = 5.5 cm

AC = 5.4 cm; CD = 3 cm; AD = 4 cm.

i) AB + AC = 4.2 + 5.4 = 9.6 cm > 5.4 cm

AB + AC > AC

ii) AD – DC = 4 – 3 = 1 cm < 5.4 cm

AD – DC < AC (or) AC > AD – DC

Question 2.

Draw a line segment \(\overline{\mathbf{A B}}\). Put a point C in between \(\overline{\mathbf{A B}}\). Extend \(\overline{\mathbf{C B}}\) upio D such that CD > AB. Now check whether AC and BD are equal length.

Solution:

Let draw a line \(\overline{\mathbf{A B}}\) = 5 cm and mark a point C on \(\overline{\mathbf{A B}}\) such that \(\overline{\mathbf{A C}}\) = 3 cm (or) \(\overline{\mathbf{BC}}\) = 2 cm Extend \(\overline{\mathbf{C B}}\) up to D such that \(\overline{\mathbf{C D}}\) = 5 cm (\(\overline{\mathbf{C B}}\) = 2 cm, \(\overline{\mathbf{B D}}\) = 3 cm)

∴ \(\overline{\mathbf{A C}}\) = 3cm, \(\overline{\mathbf{C B}}\) = 2cm, \(\overline{\mathbf{B D}}\) = 3cm

∴ \(\overline{\mathrm{AC}}=\overline{\mathrm{BD}}\) = 3cm.

Question 3.

Draw an angle ∠AOB as m∠AOB = 40°. Draw an angle ∠BOC such that ∠AOC = 90°

Check whether m∠AOB + m∠BOC = m∠AOC.

Sol. Draw an angle ∠AOB = 40° and ∠AOC = 90° on the same ray \(\overrightarrow{\mathrm{OA}}\)

Now, measure ∠AOB = 40° and ∠BOC = 50°

∴ m∠AOB + m∠BOC = 40° + 50 = 90°

m∠AOB + m∠BOC = 90° = m∠AOC

∴ m∠AOB + m∠BOC = m∠AOC.

Question 4.

Draw an angle ∠XYZ as m∠XYZ = 62°. Measure the exterior angle ∠XYZ.

Solution:

Draw angle ∠XYZ = 62° (Interior)

Now, measure the exterior angle ∠XYZ.

∴ Exterior angle of ∠XYZ = 298°

Question 5.

Match the following.

1. Set square — A) to measure angles

2. Protractor — B) to measure the lengths of line segments

3. Divider — C) to draw parallel lines

Sol. 1) Set square — C) to draw parallel lines

2) Protractor — A) to measure angles

3) Divider — B) to measure the lengths of line segments

Question 6.

List out the letters of English alphabet (capital letters) which consist of right angles.

Solution:

The letters which consists of right angles in English alphabet are

Question 7.

Measure the angles ∠AQP, ∠CPR, ∠BRQ.

Find m∠AQP, m∠CPR, m∠BRQ.

Solution:

In the given figure, measure the angles ∠AQR, ∠CPR, ∠BRQ

∠AQP = 120°

∠CPR = 120°

and ∠BRQ = 120°

∴ m∠AQP = 120°; m∠CPR = 120°; m∠BRQ = 120°