Construct a quadrilateral ABCD where AB=10cm angle ABC=120degrees , BAD=60degrees ,BC=7cm , AD=11cm, measure…

Question

Construct a quadrilateral ABCD where AB=10cm angle ABC=120degrees , BAD=60degrees ,BC=7cm , AD=11cm, measure length CD draw a sketch and accurate diagram

ScanSolve AI Tutor · Accepted Answer

Here are the steps to construct the quadrilateral ABCD, along with a description of the sketch and the expected measurement of CD.

Sketch:
Imagine a rough drawing of the quadrilateral.

Draw a horizontal line segment AB.
From A, draw a line upwards and to the left at an angle of $60^\circ$ to AB. Mark D on this line.
From B, draw a line upwards and to the left at an angle of $120^\circ$ to AB. Mark C on this line.
Connect C and D.
Label the sides and angles with their given measurements: AB=10cm, $\angle ABC=120^\circ$ , $\angle BAD=60^\circ$ , BC=7cm, AD=11cm.

Accurate Diagram Construction Steps:

Draw the base AB.
Draw a straight line segment $\overline{AB}$ of length $10 \text{ cm}$ .
Construct $\angle BAD = 60^\circ$ at point A.
Place the center of your protractor at point A and align its base with $\overline{AB}$ . Mark a point at $60^\circ$ . Draw a ray from A through this mark.
Mark point D.
Along the ray drawn in Step 2, measure $11 \text{ cm}$ from A and mark this point as D.
Construct $\angle ABC = 120^\circ$ at point B.
Place the center of your protractor at point B and align its base with $\overline{AB}$ . Mark a point at $120^\circ$ . Draw a ray from B through this mark.
Mark point C.
Along the ray drawn in Step 4, measure $7 \text{ cm}$ from B and mark this point as C.
Complete the quadrilateral.
Draw a straight line segment connecting point C to point D. This completes the quadrilateral ABCD.
Measure length CD.
Using a ruler, measure the length of the segment $\overline{CD}$ .
You should find that the length of CD is approximately $8.7 \text{ cm}$ .

The length of CD is $\text{approximately } 8.7 \text{ cm}$ .

Construct a quadrilateral ABCD where AB=10cm angle ABC=120degrees , BAD=60degrees ,BC=7cm , AD=11cm, measure length CD draw a sketch and accurate diagram

Answer

Step-by-step solution

Draw the base AB.

Construct $\angle BAD = 60^\circ$ at point A.

Mark point D.

Construct $\angle ABC = 120^\circ$ at point B.

Mark point C.

Complete the quadrilateral.

Measure length CD.

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More Mathematics Questions

Construct a quadrilateral ABCD where AB=10cm angle ABC=120degrees , BAD=60degrees ,BC=7cm , AD=11cm, measure length CD draw a sketch and accurate diagram

Answer

Step-by-step solution

Draw the base AB.

Construct ∠BAD=60∘\angle BAD = 60^\circ∠BAD=60∘ at point A.

Mark point D.

Construct ∠ABC=120∘\angle ABC = 120^\circ∠ABC=120∘ at point B.

Mark point C.

Complete the quadrilateral.

Measure length CD.

Try one yourself

Still stuck on this one?

More Mathematics Questions

Construct $\angle BAD = 60^\circ$ at point A.

Construct $\angle ABC = 120^\circ$ at point B.