O A Describe how to complete the construction using only a compass and a straightedge. OA Given: Construct: right angle BOA (Hint: Use a straightedge to extend OA to the left.) 1. Use a straightedge to extend OA to the left to form OA. 2. Place the stationary point of the compass at point ? ✓. 3. Open the compass to a length sufficient to make an arc to intersect OA to the left and to the right of O. Mark the arc and name the points of intersection M and N respectively. 4. Place the stationary point of the compass at point ? ✓. 5. Open the compass to a length ---Select--than MO and then mark an arc.

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter3: Math Models
Section3.4: Solve Geometry Applications: Triangles, Rectangles, And The Pythagorean Theorem
Problem 3.78TI: Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.
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Consider the following figure.
O
Describe how to complete the construction using only a compass and a straightedge.
Given:
OÁ
right angle BOA
(Hint: Use a straightedge to extend OA to the left.)
Construct:
1. Use a straightedge to extend OA to the left to form OA.
2. Place the stationary point of the compass at point ? ✓.
3. Open the compass to a length sufficient to make an arc to intersect OA to the left and to the right of O. Mark the arc and name the points of intersection M and N respectively.
4. Place the stationary point of the compass at point? ♥.
5. Open the compass to a length ---Select--than MO and then mark an arc.
6. Keep the compass open to the same length as in step 5.
7. Place the stationary point of the compass at point ? ♥
8. Mark an arc that intersects the arc created in step? ✔.
9. Draw a point at the intersection created in step 8, and name this point B.
10. Using a straightedge, draw a ray starting at point O going through point?. This creates right angle BOA.
Transcribed Image Text:Consider the following figure. O Describe how to complete the construction using only a compass and a straightedge. Given: OÁ right angle BOA (Hint: Use a straightedge to extend OA to the left.) Construct: 1. Use a straightedge to extend OA to the left to form OA. 2. Place the stationary point of the compass at point ? ✓. 3. Open the compass to a length sufficient to make an arc to intersect OA to the left and to the right of O. Mark the arc and name the points of intersection M and N respectively. 4. Place the stationary point of the compass at point? ♥. 5. Open the compass to a length ---Select--than MO and then mark an arc. 6. Keep the compass open to the same length as in step 5. 7. Place the stationary point of the compass at point ? ♥ 8. Mark an arc that intersects the arc created in step? ✔. 9. Draw a point at the intersection created in step 8, and name this point B. 10. Using a straightedge, draw a ray starting at point O going through point?. This creates right angle BOA.
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