Using a protractor and a ruler, follow the instructions below to draw three different shapes.
Steps for drawing Shape \(1\):
Draw a horizontal line segment \(AB\) of length \(4\,\)cm.
From \(B\), draw line segment \(BC\) of length \(8\,\)cm at an angle of \(32\degree\) to \(AB\).
Draw a line segment connecting \(C\) and \(A\).
What is the measure of angle \(ACB\) in your shape?
What kind of triangle did you draw?
Steps for drawing Shape \(2\):
Draw a horizontal line segment \(AB\) of length \(6\,\)cm.
From \(B\), draw line segment \(BC\) of length \(7\,\)cm at an angle of \(135\degree\) to \(AB\).
From \(C\), draw line segment \(CD\) of length \(6\,\)cm at an angle of \(45\degree\) to \(BC\), parallel to \(AB\).
Draw a line segment connecting \(D\) and \(A\).
What shape did you draw?
Steps for drawing Shape \(3\):
Draw a vertical line segment \(AB\) of length \(5\,\)cm.
From \(B\), draw line segment \(BC\) of length \(5\,\)cm at an angle of \(90\degree\) to \(AB\).
Draw line segment \(AD\) of length \(7\,\)cm, parallel to \(BC\).
Draw a line segment connecting \(D\) and \(C\).
What shape did you draw?
Following the steps for Shape 1 creates a scalene triangle. The measure of angle \(ACB\) is \(25\degree\).
Following the steps for Shape 2 creates a parallelogram, which is a quadrilateral with two pairs of parallel sides.
Following the steps for Shape 3 creates a right trapezoid, which is a quadrilateral with one pair of parallel sides and two right angles.
