ACTIVITY 1
Direction: Complete the table. Select your answer from the box.
in a circle, a diameter bisects a chord and an arc with the same endpoints if and only if it is perpendicular to the chord.
Given: ES is a diameter of Ou and perpendicular to chord GN at 1.
PROVE: SHOW THAT ES BISECTS GN AND THE MINOR ARC GN
PROOF:
REASONS
FIGURE
STATEMENTS
1. U with diameter ES and chord GN; ES GN
2. <GIU and <NIU are right angles.
3. <GIU E NIU
E
N
4. UGUN
5. ULUI
G
S
6. AGUIANIU
7. GIENI
8. ES bisects GN
9. CGIU <NUI
10. <GIU and <GUE are the same angles.
<NUI and <NUE are the same angles.
11. m<GUE = m*NUE
12. mEG = m <GUE
mEN = m < NUE
13. mEN =mEG
14. m<GUS = m<NUS
15. mGS = m <GUS
mNS = m <NUS
16. mNS = mGS
17 ES bisects GN​
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