1. Draw a segment and construct its perpendicular bisector. 2. Construct two congruent segments that are the perpendicular bisectors of each other. Form a quadrilateral by connecting the four endpoints. What type of quadrilateral does this seem to be? 3. Duplicate AB. Then construct a segment with length AB. A 4. Draw a segment; label it CM. CM is a median of AABC. Construct AABC. Is AABC unique? If not, construct a different triangle, AA'B'C, also having CM as a median. 5. Draw a segment; label it PQ. PQ is a midsegment of AABC. Construct AABC. Is AABC unique? If not, construct a different triangle, AA'B'C', also having PQ as a midsegment. 6. Construct a right triangle. Label it AABC with right angle B. Construct median BD. Compare BD, AD, and CD. 7. Complete each statement as fully as possible. a. L is equidistant from b. M is equidistant from c. N is equidistant from d. O is equidistant from E B
1. Draw a segment and construct its perpendicular bisector. 2. Construct two congruent segments that are the perpendicular bisectors of each other. Form a quadrilateral by connecting the four endpoints. What type of quadrilateral does this seem to be? 3. Duplicate AB. Then construct a segment with length AB. A 4. Draw a segment; label it CM. CM is a median of AABC. Construct AABC. Is AABC unique? If not, construct a different triangle, AA'B'C, also having CM as a median. 5. Draw a segment; label it PQ. PQ is a midsegment of AABC. Construct AABC. Is AABC unique? If not, construct a different triangle, AA'B'C', also having PQ as a midsegment. 6. Construct a right triangle. Label it AABC with right angle B. Construct median BD. Compare BD, AD, and CD. 7. Complete each statement as fully as possible. a. L is equidistant from b. M is equidistant from c. N is equidistant from d. O is equidistant from E B
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:1. Draw a segment and construct its perpendicular bisector.
2. Construct two congruent segments that are the perpendicular bisectors
of each other. Form a quadrilateral by connecting the four endpoints.
What type of quadrilateral does this seem to be?
3. Duplicate AB. Then construct a segment with length AB.
A
4. Draw a segment; label it CM. CM is a median of AABC. Construct
AABC. Is AABC unique? If not, construct a different triangle,
AA'B'C, also having CM as a median.
5. Draw a segment; label it PQ. PQ is a midsegment of AABC. Construct
AABC. Is AABC unique? If not, construct a different triangle,
AA'B'C', also having PQ as a midsegment.
6. Construct a right triangle. Label it AABC with right angle B. Construct
median BD. Compare BD, AD, and CD.
7. Complete each statement as fully as possible.
a. L is equidistant from
b. M is equidistant from
c. N is equidistant from
d. O is equidistant from
E
B
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