We recall that we construct a congruent angle with a compass and straightedge by sketching a ray 𝐴 𝐺 , where 𝐴 will be the vertex of the congruent angle. We then trace a circle centered at 𝐸 that intersects the edges of the angle at two points, 𝐷 ′ and 𝐹 ′ .
What is the first step in constructing a congruent angle?
Draw an arc that crosses both rays of the original angle.
Set the point of the compass at point B, the vertex of the original angle, and draw an arc that crosses both Ray BA and Ray BC. You do not need to draw an entire circle. For reference, mark the points where the arc crosses the rays as points X and Y.
Which of these is a correct step in constructing angles?
The correct step in constructing congruent angles is to use a compass and draw an arc across both the legs of the given angle. The intersection of this arc with the line will provide the endpoint for one leg of the new, congruent angle.
What angle is congruent to ∠ A?
Congruent Angles Symbol
If ∠A and ∠B have the same measure, then they are said to be equal or congruent. That means ∠A is congruent to ∠B and ∠A = ∠B or ∠A ≅ ∠B.
What happens if the angles are congruent?
Congruent angles have the same angle measure. For example, a regular pentagon has five sides and five angles, and each angle is 108 degrees. Regardless of the size or scale of a regular polygon, the angles will always be congruent.