Lucia constructed CD as a copy of AB using a straightedge and compass. Since CD is a copy of AB, it means that the two segments are equal in length. Therefore, the correct statement is:
AB = CD.
So the correct option is: AB = CD.
Use the image to answer the question. Lucia constructed CD¯¯¯¯¯¯¯¯ as a copy of AB¯¯¯¯¯¯¯¯ using a straightedge and compass. What can Lucia say about AB and CD ? (1 point) Responses AB=2CD. m Modifying above upper A upper B with bar . AB=CD. m Modifying above upper A upper B with bar . AB=12CD. m Modifying above upper A upper B with bar . AB=14CD.
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Use the image to answer the question. Wei constructed CD¯¯¯¯¯¯¯¯ as a copy of AB¯¯¯¯¯¯¯¯ , as shown in the image. What was the last step that Wei did to complete his construction? (1 point) Responses Using a straightedge, he constructed a line from point C to point D. Using a straightedge, he constructed a line from point upper C to point upper D . Using a straightedge, he constructed a line from point A to point B. Using a straightedge, he constructed a line from point upper A to point upper B . Using a compass, he measured the length from point C to point D. Using a compass, he measured the length from point upper C to point upper D . Using a compass, he measured the length from point A to point B.
To complete the construction of segment CD as a copy of segment AB, Wei would need to draw a line connecting points C and D. Thus, the correct response is:
Using a straightedge, he constructed a line from point C to point D.
Use the image to answer the question. Nozomi constructed a copy of AB¯¯¯¯¯¯¯¯ by using point B as an endpoint of the copy of AB¯¯¯¯¯¯¯¯ and placing point C , as seen in the image. If the measure of AB¯¯¯¯¯¯¯¯ is 22.3 millimeters, what is the measure of AC¯¯¯¯¯¯¯¯ ? (1 point) Responses The measure of AC¯¯¯¯¯¯¯¯ is 11.15 millimeters. The measure of Modifying above upper A upper C with bar is 11.15 millimeters. The measure of AC¯¯¯¯¯¯¯¯ is 44.6 millimeters. The measure of Modifying above upper A upper C with bar is 44.6 millimeters. The measure of AC¯¯¯¯¯¯¯¯ is 66.9 millimeters. The measure of Modifying above upper A upper C with bar is 66.9 millimeters. The measure of AC¯¯¯¯¯¯¯¯ is 22.3 millimeters. The measure of Modifying above upper A upper C with bar is 22.3 millimeters.
Since Nozomi constructed a copy of segment AB using point B as an endpoint, and if the length of AB is 22.3 millimeters, the measure of AC would also be equal to the length of AB, because AC corresponds directly to AB in the construction.
Therefore, the measure of AC is:
The measure of AC is 22.3 millimeters.
So, the correct option is: The measure of \( \overline{AC} \) is 22.3 millimeters.
Use the image to answer the question. Aleph constructed ZR−→−, a line segment bisector of XY¯¯¯¯¯¯¯¯. How does point Z relate to XY¯¯¯¯¯¯¯¯? If XY=22 units, what is ZY? (1 point) Responses Point Z is the midpoint of XY¯¯¯¯¯¯¯¯. ZY=11 units. Point upper Z is the midpoint of Modifying above upper X upper Y with bar . upper Z upper Y equals 11 units. Point Z is the center point of XY¯¯¯¯¯¯¯¯. ZY=22 units Point upper Z is the center point of Modifying above upper X upper Y with bar . upper Z upper Y equals 22 units Point Z is the center point of XY¯¯¯¯¯¯¯¯. ZY=11 units. Point upper Z is the center point of Modifying above upper X upper Y with bar . upper Z upper Y equals 11 units. Point Z is the midpoint of XY¯¯¯¯¯¯¯¯. ZY=22 units.
If Aleph constructed \( ZR \) as a line segment bisector of \( \overline{XY} \), then point Z is the midpoint of segment \( XY \). This means it divides \( XY \) into two equal segments.
Given that \( XY = 22 \) units, each half of the segment will measure:
\[ ZY = \frac{XY}{2} = \frac{22}{2} = 11 \text{ units}. \]
Thus, the correct responses are:
Point Z is the midpoint of \( \overline{XY} \). ZY = 11 units.
So, the correct option is: Point Z is the midpoint of \( \overline{XY} \). \( ZY = 11 \) units.
Andy was given a line segment. He constructed a line segment bisector of the line segment using the paper folding method. He was told that the line segment bisector divided his line segment into pieces that are each 2.9 centimeters long. How long was Andy’s original line segment? (1 point) Responses 2 cm 2 cm 2.9 cm 2.9 cm 1.45 cm 1.45 cm 5.8 cm
Since the line segment bisector divides the original line segment into two equal pieces and each piece is 2.9 centimeters long, we can find the length of the original line segment by adding the lengths of the two pieces together:
\[ \text{Original Length} = 2.9 \text{ cm} + 2.9 \text{ cm} = 5.8 \text{ cm}. \]
Therefore, the length of Andy’s original line segment is 5.8 cm.
1 answer