Question

8 from unit 1, lesson 2 here is a diagram. starting with two marked points, a and b, precisely describe the straightedge and compass moves required to construct the quadrilateral acbd in this diagram. 9 from unit 1, lesson 2 in the construction, a is the center of one circle, and b is the center of the other. which segment has the same length as ab? a cb b cd c ce d ca learning targets + i can construct an equilateral triangle. + i can identify congruent segments in figures and explain why they are congruent.

Explanation:

Step1: Construct circles

Place the compass point on point $A$ and set the width of the compass to the distance between $A$ and $B$. Draw a circle. Then place the compass point on point $B$ and with the same width (distance $AB$), draw a second - circle. The two circles intersect at points $C$ and $D$.

Step2: Draw line - segments

Use the straightedge to draw line - segments $AC$, $AD$, $BC$, and $BD$. The quadrilateral $ACBD$ is constructed.

For question 9:
Since the circles are drawn with radius equal to the distance $AB$, and $CA$ is a radius of the circle with center $A$ (and the radius of the circle is set to the length of $AB$), the length of $CA$ is equal to the length of $AB$.

Answer:

1. 1. Place the compass on point $A$, set its width to $AB$, and draw a circle. 2. Place the compass on point $B$, set its width to $AB$, and draw a circle. The two circles intersect at points $C$ and $D$. 3. Use a straightedge to draw line - segments $AC$, $AD$, $BC$, and $BD$ to form the quadrilateral $ACBD$.
2. D. $CA$