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Name__________________________________
Geometry
Quiz 5 Review
______ T1 (A4) - I can solve problems with Central angles and arc measures
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual
diameters.
1. Find m∠GBD
̂
3. 𝑚𝐼𝐸
2. Solve for x
_____ T2 (A3): I can solve problems with radii, tangents, and chords of a circle.
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
4. Solve for x
̅̅̅̅ tangent to the circle?
7. Is 𝐴𝐵
5. Solve for x
6. Solve for x
8. Find ?
____ T4 (A4): I can solve problems with intersecting chords, secants, tangents, and their segment lengths, as well as
intersecting chords, secants, tangents and their angle measures.
T4a (Angles): Find the measure of the angle or arc indicated.
9.
10.
11.
T4b (sides): Solve for x. Assume that lines which appear tangent are tangent.
12.
13.
14.
T5 (A2): Construct the inscribed and circumscribed circles of a triangle. CCSS.MATH.CONTENT.HSG.C.A.3
15. Go to http://mathopenref.com/tocs/constructionstoc.html and learn how to construct the incenter and
circumcenter.
16. The incenter of a triangle is the point where all three ________________________________ always intersect.
17. The circumcenter of a triangle is the point where the __________________________________________ of the sides
intersect.
_____ T6 (A2): Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the
radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of
a sector. CCSS.MATH.CONTENT.HSG.C.B.5
18. Find the length of the arc.
19. Find the area of the sector.
20. Find x IN RADIANS
21. Convert 90⁰ to radians.
22. Convert
𝜋
4
to degrees.
_____ T10 (A1): Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems
(e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
Find the slope of the line parallel to the given line.
Find the slope of the line perpendicular to the given line
23. x + y = -5
25. 8x – 5y = 20
24. x – 4y = - 4
26. X + 5y = - 15
Find the equation of the line through the given points.
Find the equation of the line with the following info.
27. (2, -2) and (5, -5)
29. Through (3, -5), parallel to 𝑦 = − 3 𝑥 − 1
28. (2, -5) and (-3, 2)
8
1
5
30. Through (1, 3), perpendicular to 𝑦 = − 𝑥 − 5