Question

1. what is a fundamental use of an angle bisector in design? a. to divide angles equally for symmetry b. to calculate area quickly c. to create irregular shapes d. to enhance color schemes 2. are two lines perpendicular if their slopes are $\frac{1}{4}$ and - 4? a. yes b. no c. not enough information d. it depends on the points

Explanation:

Step1: Recall angle - bisector property

An angle bisector divides an angle into two equal parts. In design, this property is used for creating symmetry.

Step2: Analyze other options

Calculating area (b) has nothing to do with angle - bisectors. Creating irregular shapes (c) and enhancing color schemes (d) are not related to the function of angle - bisectors.

Step3: Recall perpendicular - line slope rule

Two non - vertical lines with slopes \(m_1\) and \(m_2\) are perpendicular if \(m_1\times m_2=- 1\). Given \(m_1 = \frac{1}{4}\) and \(m_2=-4\), then \(m_1\times m_2=\frac{1}{4}\times(-4)=-1\).

Answer:

1. a. To divide angles equally for symmetry
2. a. Yes