Question

John is constructing a triangle with two sides 5cm and 7 cm and the included angle is 70°. First, John draws a 5cm segment on his paper. He is not sure how to construct the 70° angle. What should he do?
Responses
A Using a compass, draw a 7 cm circle.Using a compass, draw a 7 cm circle.
B Since 70° is less than 90°, just make sure to draw an acute angle.Since 70° is less than 90°, just make sure to draw an acute angle.
C Using a straightedge, measure a 7 cm segment from an endpoint of the 5 cm segment.Using a straightedge, measure a 7 cm segment from an endpoint of the 5 cm segment.
D Using a protractor, measure a 70° angle from the endpoint of the 5 cm segment.Using a protractor, measure a 70° angle from the endpoint of the 5 cm segment.

Answer 1

D.

Place the protractor with its center at the chosen endpoint of the 5 cm segment, mark a 70° ray, then use a compass set to 7 cm to mark a point on that ray. Finally join that point to the other endpoint of the 5 cm segment to complete the triangle.