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°