All alternate angles and corresponding angles formed by the intersection of two parallel lines and a transversal are congruent angles.All vertically opposite angles are congruent angles.Congruent angles are just another name for equal angles.This is how we can construct an angle congruent to the given angle. Here, we get ∠ABC ≅ ∠XYZ, which satisfies the definition of the congruent angle. Step 6 - Draw a line and join points X and Y. Step 5 - With the same arc, keep your compass tip at point O and mark a cut at the arc drawn in step 3, and name that point as X. Step 4 - Keep compass tip at point D and measure the arc from point D to the point of intersection of the arc at segment AB. Step 3 - With the same width, draw an arc by keeping the compass tip at point Y and name the point at line YZ as O. Step 2 - Keep compass tip at point B in the given angle and draw an arc by keeping BC as the base and name that point D. Step 1 - Draw a horizontal line of any suitable measurement and name it YZ. Suppose an angle ∠ABC is given to us and we have to create a congruent angle to ∠ABC. But what if any one angle is given and we have to construct an angle congruent to that? Let's learn it step-wise. Construction of a Congruent Angle to the Given Angleīy now, you have learned about how to construct two congruent angles in geometry with any measurement. This is how we get two congruent angles in geometry, ∠CAB, and ∠RPQ. Step 4- Draw lines that will join AC and PR. Draw that arc and repeat the same process with the same arc by keeping the compass tip on point S. Step 3 - Keep the compass tip on point D and expand the legs of the compass to draw an arc of any suitable length. Draw the arc keeping the lines AB and PQ as the base without changing the width of the compass. Step 2- Take any arc on your compass, less than the length of the lines drawn in the first step, and keep the compass tip at the endpoint of the line. Step 1- Draw two horizontal lines of any suitable length with the help of a pencil and a ruler or a straightedge. Let's learn the construction of two congruent angles step-wise.
0 Comments
Leave a Reply. |