Alex wants to construct a line segment through R that makes the same angle with as . The figure below shows a step to construct a congruent angle at R.
It would help if you proofread your questions before you posted them.
What is the angle?
What figure?
To construct a line segment through point R that makes the same angle with as , you can follow these steps:
Step 1: Draw a line segment . This will serve as the base of the angle to be duplicated.
Step 2: Place the point of your compass at point R and draw an arc that intersects line segment at two points. Label these points A and B.
Step 3: Without changing the width of your compass, place the point of the compass at point A and draw an arc that intersects the arc drawn in Step 2 at point C.
Step 4: Without changing the width of your compass, place the point of the compass at point B and draw an arc that intersects the arc drawn in Step 2 at point D.
Step 5: Draw a line segment connecting points R and C. Similarly, draw a line segment connecting points R and D.
The line segment RC and the line segment RD will make the same angle with as the line segment AB and the line segment AC respectively.
Note: The actual diagram may vary based on the given conditions and the positions of points R, A, and B. It is important to carefully follow the instructions and make accurate constructions.
To construct a line segment through R that makes the same angle with two given lines, follow these steps:
Step 1: Draw the given lines, and label the intersection point as R.
Step 2: From point R, draw a ray in any direction.
Step 3: Using a compass, place the sharp end on point R and adjust the width to any suitable distance.
Step 4: Without changing the compass width, draw an arc that intersects both given lines.
Step 5: Label the two points of intersection between the arc and the given lines as A and B.
Step 6: Draw a line segment through point R and the intersection point A or B, extending it past A or B.
This line segment through R will have the same angle with the given lines as before.