Question

1. what is the property of the arcs that are drawn from two points on the angles sides when constructing an angle bisector? a. they must be perpendicular b. they must intersect c. they must be equal in length d. they must be parallel 8. an engineer designs a model bridge that is 1/50th the size of the actual bridge. if the actual bridge is 200 meters wide, what is the width of the model? a. 2 meters b. 4 meters c. 6 meters d. 8 meters 9. a central angle of a circle measures 120°. what is the measure of the arc it intercepts? a. 360° b. 240° c. 120° d. 60°

Explanation:

7.

When constructing an angle - bisector, arcs drawn from two points on the angle's sides must intersect so that a line can be drawn from the angle's vertex through the intersection point to bisect the angle.

Step1: Identify the scale - factor relationship

The model is 1/50th the size of the actual bridge. Let the width of the model be $x$ and the width of the actual bridge be $y = 200$ meters. The relationship is $x=\frac{1}{50}y$.

Step2: Substitute the value of $y$

Substitute $y = 200$ into the equation: $x=\frac{1}{50}\times200$.
$x = 4$ meters.

The measure of an arc intercepted by a central angle is equal to the measure of the central angle. Given a central angle of 120°, the measure of the intercepted arc is also 120°.

Answer:

b. They must intersect

8.