Construction of a Congruent Angle to the Given Angle
The steps to construct a congruent angle to the given angle is mentioned below:
Step 1: Draw two horizontal lines of any suitable length using a pencil and a ruler.
Step 2: Take an arc on your compass, shorter than the length of the lines drawn in the first step. Place the compass tip at the endpoint of one line. Draw the arc while keeping the lines AB and PQ as the base without changing the width of the compass.
Step 3: With the compass tip at point D, extend the compass legs to draw an arc of any suitable length. Draw the arc and repeat the process with the same arc, placing the compass tip at point S.
Step 4: Draw lines to connect points A and C, and points P and R.
This construction yields two congruent angles in geometry: ∠CAB and ∠RPQ.
Congruent Angles
Congruent angles are angles that have equal measure. Thus, all the angles in the geometry that have sam measure are called congruent angles.
In this article, we will understand the meaning of congruent angles, their properties, the congruent angles theorem, the vertical angles theorem, the corresponding angles theorem, and the alternate angles theorem.
Table of Content
- What are Congruent Angles?
- Congruent Angles Theorem
- Vertical Angles Theorem
- Corresponding Angles Theorem
- Alternate Angles Theorem
- Congruent Supplements Theorem
- Congruent Complements Theorem
- How to Find Congruent Angles
- Constructing Congruent Angles
- Construction of a Congruent Angle to the Given Angle
- Construction of Two Congruent Angles
- Congruent Angles Properties
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