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Measurements of Chords

Reference > Mathematics > Geometry > Circles
 

Use the following image to answer the questions below.

 

Questions

1.
If AE = 5 and EC = 8, and DE = 4, what is the measure of EB?
2.
AC = 24, AE = 6, and DE = 9. Find BE.
3.
If the ratio of AE to EC is 1:2, and DE =2 and EB = 9, what is the measure of AC?
4.
If AE = DE = EB, and AC = 10, what is the measure of EC?
5.
AC = 16, DE = 5, and EB = 12. What is the measure of AE?
6.
AC = 16, and DB = 14. If DE is two more than CE, what is the measure of AE?
7.
The ratio of AE:BE:CE:DE = 4:5:10:y. What is the value of y?
8.
AE is one less than CE, and DE = 6, and EB = 12. What is the length of AE?
9.
AE is one unit longer than DE, BE is 9 units longer than DE, and CE is 6 units longer than DE. What is the length of DE?
10.
AE is twice BD. Is CE twice DE, or is DE twice CE?
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Secants and TangentsSecants and Tangents
Measurements of Secants and TangentsMeasurements of Secants and Tangents
 

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