Circles
Congruence and Similarity
Parallel + Perp Lines
Triangles
WILD
100
What are the center and radius of a circle with the equation:
(x-26)2 + (y+5)2 = 49
center: (26, -5)
radius: 7
100
Which congruence criteria would prove the triangles congruent? (HINT: SSS, SAS, ASA, AAS, HL)
SAS
100
Given that lines H and G are parallel, what is the name of the relationship between angles V and W?
Alternate Interior Angles
100
What is the sin ratio of <m in the triangle below?
23/85
100
Simplify:
sqrt(50)
5sqrt(2)
200
What is the midpoint of a segment that has endpoints of (9, 10) and (45, 18)?
(24, 17)
200
The triangles below are similar. Write a similarity statement for them.
HGJ~KML
200
Points D, E, and F are colinear. Solve for y.
y = 123
200
Find the length of x in the triangle below.
x = 23487
200
What is the distance between the points (1, 3) and (6, 7)?
sqrt41
300
The equation of a circle is (x - 10)2 + (y + 9)2 = 20
Does the point (4, 8) lie on the circle?
No, (4, 8) does NOT lie on the circle.
300
By what theorem are the triangles below similar? (HINT: AA~, SAS~, SSS~)
AA~
300
Given that lines G and H are parallel, what is the name of the relationship between angles X and P?
Same Side Exterior Angles
300
Find the length of x in the triangle below. Round to the nearest hundredth.
HINT: Make sure your calc is in DEGREES!!!!
x = 15.51
300
What are the coordinates of (-8, 3) after a 270o rotation counterclockwise about the origin?
(3, 8)
400
The equation of a circle is: (x-5)2 + (y+3)2 = 2
Does (4, -2) lie on the circle?
YES, (4, -2) lies on the circle.
400
The two triangles below are similar. What is the scale factor from ABC to A'B'C'?
The scale factor is 3.4
400
Given that lines G and H are parallel, find the value of x:
x = 0.8
400
What is the measure of <Z? Round to the nearest hundredth.
z = 29.43
400
Find the length of the arc, S, of a circle with radius 3m and a central angle of 83o. Round your answer to the nearest hundredth.
HINT: Look at your formula sheet for the formula and make sure your calculator is in DEGREES!!!
S=(83/360)*2pi(3)
Final Answer: S = 4.35
500
What is the equation of the circle? (HINT: find the center and radius)
(x-1)2 + (y-3)2 = 4
500
Write a congruence statement for the triangles:
ABC~=CDA
500
D, E, and F are colinear. Solve for y.
y = 2
500
What is the length of side ZX? Round to the nearest hundredth.
HINT: There are multiple ways to solve this problem.
Side ZX = 150.68
500
Solve for x.
x = 54