We read your photo as:

Construct a 90° angle from a line p g which is 7 centimetres. From the angle byset it to get 45 centimetres.

Mathematics

ScanSolve AI Answer

Step-by-step solution

9 steps

Here are the steps to construct a 90∘90^\circ angle and then bisect it to get a 45∘45^\circ angle:

1. Construct a 90∘90^\circ angle from a line PQ which is 7 centimetres.

  1. Draw a line segment.

    Draw a straight line segment PQ that is 7 cm long.

  2. Mark a point.

    Choose a point R on the line segment PQ. For simplicity, you can choose R to be at one end (e.g., P) or anywhere along the line. Let's assume you want to construct the 90∘90^\circ angle at point R.

  3. Draw an arc.

    Place the compass needle at point R and draw an arc that intersects the line PQ at two points. Let's call these points A and B.

  4. Draw intersecting arcs.

    With the compass needle at point A, open the compass to a radius greater than half the distance between A and B. Draw an arc above the line PQ. Without changing the compass radius, place the needle at point B and draw another arc that intersects the first arc. Let's call the intersection point C.

  5. Draw the perpendicular line.

    Draw a straight line from point R through point C. This line will be perpendicular to PQ, forming a 90∘90^\circ angle at R.

    2. From the angle bisect it to get 45 degrees.

  6. Identify the angle to bisect.

    You have constructed a 90∘90^\circ angle, let's say ∠CRQ\angle CRQ. You need to bisect this angle.

  7. Draw an arc.

    Place the compass needle at point R (the vertex of the 90∘90^\circ angle). Draw an arc that intersects both arms of the 90∘90^\circ angle (RC and RQ). Let's call the intersection points D on RC and E on RQ.

  8. Draw intersecting arcs.

    With the compass needle at point D, open the compass to a radius greater than half the distance between D and E. Draw an arc inside the 90∘90^\circ angle. Without changing the compass radius, place the needle at point E and draw another arc that intersects the first arc. Let's call the intersection point F.

  9. Draw the angle bisector.

    Draw a straight line from point R through point F. This line RF bisects the 90∘90^\circ angle, creating two 45∘45^\circ angles (∠CRF\angle CRF and ∠FRQ\angle FRQ).

    You have now constructed a 90∘90^\circ angle and then bisected it to get a 45∘45^\circ angle.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp