The document contains a series of mathematics exercises involving: 1) Drawing perpendicular bisectors, angle bisectors, and parallel lines with transversals to identify angle relationships. 2) Converting between minutes, seconds, degrees. 3) Solving angle addition and subtraction problems. 4) Finding missing angles in geometric shapes like triangles, rhombi, and regular polygons. 5) Identifying lines of symmetry and angles between them in 2D shapes. The exercises are intended to reinforce key geometry and trigonometry concepts for students.

1. UNIT 10 April
1. Draw the perpendicular bisector of a segmente of 𝟒𝟒. 𝟓𝟓 𝒄𝒄𝒄𝒄.
2. Draw the angle bisector of an angle of 𝟑𝟑𝟎𝟎°:
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.10.1.1

2. UNIT 10 April
3. Draw two parallel lines and a tansversal line cutting them. Then find all the
Alternate Exterior Angles, the Corresponding Angles, the Alternate Interior
Angles, the Consecutive Interior Angles and the Vertically Opposite Angles.
4. Draw a pair of parallel angles, two equal and two supplementary:
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.10.1.2

3. UNIT 10 April
5. How many minutes are:
𝒂𝒂) 𝟏𝟏𝟐𝟐𝟐𝟐′′
𝒃𝒃) 𝟏𝟏𝟖𝟖𝟖𝟖′′
𝒄𝒄) 𝟑𝟑, 𝟔𝟔𝟔𝟔𝟔𝟔′′
𝒅𝒅) 𝟔𝟔𝟎𝟎°
𝒆𝒆) 𝟏𝟏𝟏𝟏°
𝒇𝒇) 𝟓𝟓°
6. How many degrees are:
𝒂𝒂) 𝟔𝟔𝟎𝟎′
𝒃𝒃) 𝟐𝟐𝟐𝟐𝟐𝟐′
𝒄𝒄) 𝟑𝟑, 𝟔𝟔𝟔𝟔𝟔𝟔′′
𝒅𝒅) 𝟏𝟏𝟐𝟐𝟐𝟐′
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.10.1.3

4. UNIT 10 April
7. Draw with the protractor the following angles:
𝒂𝒂) 𝟒𝟒𝟎𝟎°
𝒃𝒃) 𝟓𝟓𝟓𝟓°
𝒄𝒄) 𝟏𝟏𝟏𝟏𝟏𝟏°
𝒅𝒅) 𝟏𝟏𝟕𝟕𝟕𝟕°
8. Convert to seconds:
𝒂𝒂) 𝟓𝟓𝟑𝟑° 𝟒𝟒𝟓𝟓′
𝟏𝟏𝟏𝟏′′
𝒃𝒃) 𝟖𝟖𝟏𝟏° 𝟑𝟑𝟕𝟕′
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.10.1.4

5. UNIT 10 April
𝒄𝒄) 𝟐𝟐𝟔𝟔° 𝟏𝟏𝟏𝟏′′
9. Write in complex form:
𝒂𝒂) 𝟑𝟑𝟐𝟐, 𝟐𝟐𝟐𝟐𝟐𝟐′′
𝒃𝒃) 𝟓𝟓𝟗𝟗, 𝟐𝟐𝟐𝟐𝟐𝟐′′
10. Solve:
𝒂𝒂) 𝟑𝟑𝟓𝟓° 𝟐𝟐𝟕𝟕′
𝟏𝟏𝟒𝟒′′
+ 𝟔𝟔𝟐𝟐° 𝟒𝟒𝟖𝟖′
𝟓𝟓𝟓𝟓′′
𝒃𝒃) 𝟒𝟒𝟓𝟓° 𝟑𝟑𝟒𝟒′
𝟒𝟒𝟓𝟓′′
+ 𝟐𝟐° 𝟒𝟒𝟑𝟑′′
+ 𝟏𝟏𝟏𝟏° 𝟒𝟒𝟓𝟓 𝟑𝟑′
𝟑𝟑′′
𝒄𝒄) 𝟗𝟗𝟐𝟐° 𝟐𝟐𝟕𝟕′
𝟏𝟏𝟒𝟒′′
− 𝟔𝟔𝟐𝟐° 𝟒𝟒𝟖𝟖′
𝟓𝟓𝟓𝟓′′
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.10.1.5

6. UNIT 10 April
𝒅𝒅) 𝟒𝟒𝟓𝟓° 𝟑𝟑𝟒𝟒′
𝟒𝟒𝟓𝟓′′
− 𝟐𝟐° 𝟒𝟒𝟑𝟑′′
− 𝟏𝟏𝟏𝟏° 𝟒𝟒𝟓𝟓 𝟑𝟑𝟑𝟑′′
11. Solve:
𝒂𝒂) (𝟑𝟑𝟓𝟓° 𝟐𝟐𝟕𝟕′
𝟏𝟏𝟒𝟒′′) ∙ 𝟏𝟏𝟏𝟏
𝒃𝒃) 𝟓𝟓 ∙ (𝟐𝟐° 𝟒𝟒𝟑𝟑′′)
12. In a right triangle, 𝑨𝑨� = 𝟒𝟒𝟒𝟒° 𝟐𝟐𝟎𝟎′. How much are the others?
13. If an angle of a rhombus is 𝟑𝟑𝟗𝟗°. How much are the others?
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.10.1.6

7. UNIT 10 April
14. How much are the sum of the angles of a regular decagon? How much each one?
15. Draw a circle a central angle of 𝟔𝟔𝟎𝟎° and find 3 inscribed angles. How much they
measure?
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.10.1.7

8. UNIT 10 April
16. Find all the lines of symmetry of the following shapes And find the angle
between two lines of symmetry.
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.10.1.8