Name: ____________________________________ Date: __________________________
Geometry Unit 10 Day 3 Circle segments
1) Solve for the indicated angle(s).
a)
b)
2) Find the translation rule and the scale factor of the dilation.
3) Consider circle A with radius rA, and circle D with radius rD. Prove Circle A is similar to Circle D
4) In circle O, chords
of
?
1.
2.
5) In the diagram,
1.
and
6
intersect at point P. If AP = a, PB = b, and CP = c, what is the length
3.
is tangent to circle O at D, and
2. 2
3. 3
4.
is a secant. If AD = 6 and AC = 9, what is AB?
4. 4
6) In the diagram of circle O, diameter
is perpendicular to chord
at point E. Which of these three
statements is true?
I.
≅
II.
≅
III.
≅
7) In the diagram, circle O is inscribed in ΔABC so that the circle is tangent to
If AF = FB = 5 and DC = 7, find the perimeter of ΔABC.
1.
8)
9)
22
2. 24
In the diagram of circle O, chords
3. 34
and
at E, and to
4. 36
intersect at E. AE = x, EB = x + 1, CE = x − 1, and ED = 2x.
In the diagram of circle C, QR = ST = 16. Find CU.
10) Solve for x.
at F, to
at D.
Name ____________________________________________
1. Explain why cos(x) = sin(90o – x) for x such that 0 < x < 90o.
2.
Regents Review 10-3