91Ó°ÊÓ

Draw and label segments having the following lengths for use in the exercises of this lesson: \(a, 1 \mathrm{cm} ; b, 2 \mathrm{cm} ; c, 3 \mathrm{cm} ; d, 4 \mathrm{cm}\) \(e, 5 \mathrm{cm} ;\) and \(f, 6 \mathrm{cm} .\) Before doing each construction, make a sketch of the completed figure and then try to develop a plan based on relations that you notice among its parts. Construct a triangle having \(d, e,\) and \(f\) as its sides.

The vertices of quadrilateral ZEUS lie on the circle. What kind of quadrilateral is ZEUS?

Draw and label segments having the following lengths for use in the exercises of this lesson: \(a, 1 \mathrm{cm} ; b, 2 \mathrm{cm} ; c, 3 \mathrm{cm} ; d, 4 \mathrm{cm}\) \(e, 5 \mathrm{cm} ;\) and \(f, 6 \mathrm{cm} .\) Before doing each construction, make a sketch of the completed figure and then try to develop a plan based on relations that you notice among its parts. Construct a square having \(b\) as one of its sides.

Draw and label segments having the following lengths for use in the exercises of this lesson: \(a, 1 \mathrm{cm} ; b, 2 \mathrm{cm} ; c, 3 \mathrm{cm} ; d, 4 \mathrm{cm}\) \(e, 5 \mathrm{cm} ;\) and \(f, 6 \mathrm{cm} .\) Before doing each construction, make a sketch of the completed figure and then try to develop a plan based on relations that you notice among its parts. Construct a right triangle having \(c\) and \(e\) as its legs.

Draw and label segments having the following lengths for use in the exercises of this lesson: \(a, 1 \mathrm{cm} ; b, 2 \mathrm{cm} ; c, 3 \mathrm{cm} ; d, 4 \mathrm{cm}\) \(e, 5 \mathrm{cm} ;\) and \(f, 6 \mathrm{cm} .\) Before doing each construction, make a sketch of the completed figure and then try to develop a plan based on relations that you notice among its parts. Construct a rectangle having \(b\) and \(e\) as two of its sides.

Draw and label segments having the following lengths for use in the exercises of this lesson: \(a, 1 \mathrm{cm} ; b, 2 \mathrm{cm} ; c, 3 \mathrm{cm} ; d, 4 \mathrm{cm}\) \(e, 5 \mathrm{cm} ;\) and \(f, 6 \mathrm{cm} .\) Before doing each construction, make a sketch of the completed figure and then try to develop a plan based on relations that you notice among its parts. Construct a rhombus having \(c\) and \(f\) as its diagonals.

Use your straightedge and compass to construct an equilateral triangle each of whose sides is 5 centimeters long. Construct the perpendicular bisectors of all three of its sides.

Use your straightedge and compass to construct an equilateral triangle each of whose sides is 5 centimeters long. Why would you expect the perpendicular bisectors of the sides to intersect in a common point?

In \(\triangle \mathrm{ABC}, \mathrm{AB}=7 \mathrm{cm}, \mathrm{AC}=6 \mathrm{cm},\) and \(\mathrm{BC}=5 \mathrm{cm}\). Construct \(\triangle \mathrm{ABC}\). Mark point \(\mathrm{X}\) on \(\overline{\mathrm{AC}}\) so that \(\mathrm{CX}=2 \mathrm{cm}\) and point \(\mathrm{Y}\) on \(\overline{\mathrm{AB}}\) so that \(\mathrm{AY}=4 \mathrm{cm} .\) Draw \(\overline{\mathrm{BX}}\) and \(\overline{\mathrm{CY}}\) and label the point in which they intersect P. Draw \(\overrightarrow{\mathrm{AP}}\) and label the point in which it intersects \(\overline{\mathrm{BC}} \mathrm{Z}\).

Quadrilateral ECHO is a rhombus in which \(\angle \mathrm{E}=112^{\circ}\) $$\text { Find the measures of } \Varangle \mathrm{C}, \Varangle \mathrm{H}, \text { and } \Varangle \mathrm{O}$$ (GRAPH CANT COPY)