91Ó°ÊÓ

A triangle is named \(\triangle A B C\). Can it also be named \(\triangle A C B\) ? Can it be named \(\triangle B A C ?\)

Does the relation "is complementary to" for angles have a reflexive property (consider one angle)? a symmetric property (consider two angles)? a transitive property (consider three angles)?

Use a compass to draw a circle. Draw a radius, a line segment that connects the center to a point on the circle. Measure the length of the radius. Draw other radii and find their lengths. How do the lengths of the radii compane?

Use a compass to draw a circle of radius 1 inch. Draw a chord, a line segment that joins two points on the circle. Draw other chords and measure their lengths. What is the largest possible length of a chord in this circle?

Two angles are complementary. One angle is \(12^{\circ}\) larger than the other. Using two variables \(x\) and \(y,\) find the size of each angle by solving a system of equations.

Two angles are supplementary. One angle is \(24^{\circ}\) more than twice the other. Using two variables \(x\) and \(y,\) find the measure of each angle.

When the Distributive Property is written in its symmetric form, it reads \(a \cdot b+a \cdot c=a(b+c) .\) Use this form to rewrite \(5 x+5 y\).

Use intuition to state a conclusion. In the figure, point \(M\) is called the midpoint of line segment \(A B\). Conclusion?

Use deduction to state a conclusion, if possible. If Tabby is meowing, then she is hungry. Tabby is hungry. Conclusion?