New Activity z-q - Math with Mrs. Solomon · 2019. 9. 13. · 5. Study the diagrams below and write...
Transcript of New Activity z-q - Math with Mrs. Solomon · 2019. 9. 13. · 5. Study the diagrams below and write...
Geome\TYMidpoints & Segment Bisectors NameActivity z-qLesson
Midpointi. Trace segment AB onto a piece of patty paper, B
2. Fold one endpoint of AB onto the other and crease.Label the creased point C.
3. Make a conjecture about AC and BC.
4. A point is the midpoint of a segment if and only if
Se
11. Segment Bisectors5. Study the diagrams below and write a definition of a segment bisector.
5
3
21 201.5
1.53 3
Segment Bisectors Not Segment Bisectors
6. A segment bisector is dMoeS
equxai
7. Complete the following statements.
a) MR- 24, HR: b) TR : 16, AT: 3a
29c) MH 58,
d) R is the midpoint of MH and
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111. Practices
8. M is the midpoint of PQ. PM : 7x 8 and MQ :
b b+LC)
x----12 PM:6-P..— MQ$_9_ PQ
Draw the diagram.
9. B is the midpoint of AC. AB : 2x - 1 and AC : 3x+ 2. Draw the di ram.
x:
10. Given JB is the segment bisector of AD,
AD : 24, AZ 2x + 4, and mZJZA: 3y,
Find the value of x and y.
use Figure 2 for problems 11 - 13.
11. What is the midpoint of AB?
24
A S Q
-8 o 2 4 8
12. What is the coordinate of the midpoint of QB?
Figure 2
13. The coordinate of the midpoint of AR is -5.
What is the coordinate of point R?
Use Figure 3 for problems 15 - 16.
14. If TM 3x + 5, MQ : x + 17, find the value of x.
15. If AM 5y- - 38, find the valFigure 3
loy-azg Page 2 of 4
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Midpoints & Segment BisectorsWorksheet Name
Period
Draw a diagram for each problem.
1. Mis the midpoint of PQ. PM : 6x+ 7 and MQ : 9x - 8, find the lergth of PQ
IS>.3Y,
Pözng2. Mis the midpoint of PQ. PM: 5x + 8 and PQ : 76, find x.
i
71ø=lOK+1
3. M is the midpoint of PQ. PM : 9x+ 3 and MQ : llx-17, find x and PQ.
lix-n
a
ing
4. M is the midpoint of PQ. MQ : 5x+ 8 and PQ : 6x + 56, find PM.
Q IOÅ Y i
(DKr3U
5. BE bisects n at C. b AC : 8x- 3 and CB: 4x + 57, find x.
(00
16(D
Ivo *Slo
2111.0
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6, A is the midpoint of CT, CA : 2x
7. A is the midpoint of
a X vS
8. A is the midpoint of CT. CA :
8 AT : 4x 2, find x and e th o
a (3)f3
46, find x.
2-3
2-8
6 and CT: 24, find x.
3K flu z IL
9. DE bisects at C. If AC : 8x - 23 and CB : 3x + 22, find x.
t-43
6
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