Let’s Use These Materials: pen, pencil, and Mathematics notebook Let’s Do It This Way: 1. Read and analyze each item carefully. 2. Write TRUE, if the underlined word is correct. If it is wrong, replace the underlined word to make the statement correct. 3. Select the word/s in the word pool below. 4. Write your answer on your Mathematics notebook. 90° Supplementary Vertical Angle Linear Pair Word Pool 180° Complementary Interior Angle Exterior Angle 1. Linear pair is formed by combining two adjacent angles whose noncommon sides are opposite rays. 2. The two pairs of angles that form a linear pair is complementary. 3. Exterior angle is an angle that forms a vertical angle with one of the interior angles of a polygon. 4. Interior angle is defined as an angle inside the polygon formed by each pair of adjacent sides. 5. In any convex polygon, the sum of the measures of the exterior angle and its adjacent interior angle is equal to 360°
The Correct Answer and Explanation is:
Corrected Answers:
- TRUE
- Complementary → Supplementary
- Vertical angle → Exterior angle
- TRUE
- 360° → 180°
Explanation:
Understanding angle relationships is key in geometry. Let’s analyze each statement:
1. A linear pair is correctly defined. It involves two adjacent angles whose noncommon sides form opposite rays. This creates a straight line, making the angles supplementary. Since this definition is accurate, we mark it as TRUE.
2. The statement says angles forming a linear pair are complementary. This is incorrect. Complementary angles sum up to 90°, but linear pair angles always add up to 180°. The correct term is supplementary because linear pairs form straight angles.
3. The statement wrongly says an exterior angle forms a vertical angle with an interior angle. This is incorrect. An exterior angle is actually formed when a side of a polygon is extended and the adjacent interior angle is considered. The exterior and interior angles are adjacent and form a linear pair, not vertical angles. So, replace vertical angle with exterior angle.
4. The definition of interior angle is correct. These are the angles found inside a polygon, formed by two sides meeting at a vertex. So, this is marked TRUE.
5. The statement says the sum of an exterior and its adjacent interior angle is 360°, which is wrong. In a polygon, any exterior angle and its adjacent interior angle always add up to 180°, as they form a linear pair. So, replace 360° with 180°.
Understanding these relationships helps in solving polygon angle problems and recognizing how angles interact in geometric figures.
