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Challenge: Draw a rhombus using geometry software with side lengths of 2 units and at least one angle that measures 40°.

a) 120° 300°
b) 140° 400°
c) 100° 120°
d) 140° Quadrilateral

1 Answer

3 votes

Final answer:

Construct a rhombus by drawing a 2-unit side, then a 40° angle, and continue matching side lengths and angles. Opposite angles in a rhombus are equal, resulting in two 40° and two 140° angles.

This correct answer is none of the above.

Step-by-step explanation:

The question involves using geometry software to draw a rhombus with side lengths of 2 units and at least one angle measuring 40°.

To construct this rhombus, one could start by drawing one side of 2 units in length. Then, at one end of this line segment, using a protractor, construct a 40° angle. From the vertex of this angle, draw another 2-unit line segment.

As rhombuses have equal side lengths, you would then replicate the same steps to form the remaining sides and angles, ensuring each side is 2 units long and opposite angles are equal. The internal angles of a rhombus must total 360°, so the angles adjacent to the 40° angle must each be 140° (as 180° - 40° = 140°).

Given that a rhombus has symmetrical properties, the angles directly opposite to the constructed angles will be equal, meaning there will be two 40° angles and two 140° angles in the figure. This correct answer is none of the above.

Challenge: Draw a rhombus using geometry software with side lengths of 2 units and-example-1
User Glaucon
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