Circle Vocab
All circles equal ___ degrees
360
If the diameter of a circle is 36 in., what is the radius?
18 in.
((x1+x2)/2, (y1+y2)/2)
Isosceles, equilateral, scalene
What are the ways to prove congruency?
SSS, SAS, ASA, AAS
a smooth curve joining 2 points in a circle
arc
The diameter of a circle is 16m. What is the area? (Round to hundredths)
201.06m
Distance Formula
(the square root of) (x2-x1)2+(y2-y1)2
What does the missing angle of a triangle equal if the other 2 are 90 degrees and 70 degrees?
20 degrees
Triangle ABC has side lengths that might be congruent to triangle EFG. Sides AB and EF have lengths of 5in. Sides BC and FG have lengths of 7in. Sides AB and EG have lengths of 8in. Are the triangles congruent? If so, how?
Yes, SSS
a straight line that just touches the outside of a circle
tangent
If the circumference of a circle is 32.98672286m, what is the area? (Round to the hundredths)
86.59m
What is the midpoint of (10, 4) and (4, 2)?
(7, 3)
What does the exterior angle of a triangle equal if on the opposite side the two angles are 80 degrees and 40 degrees?
120 degrees
Triangle XYZ and LMN might be congruent. Angles X and L are 32 degrees. Sides YZ and MN equal 10in. Are the triangles congruent? If so how?
There is not enough information given
a straight line whose endpoints lie on the circle
chord
The arc of a circle is 8m. The angle of the sector is 60 degrees. What is the circumference of the circle? (Round to hundredths)
48m
What is the distance of (9, 4) and (5, 6)? (Rounded to hundredths)
4.47
If the exterior angle of a triangle is 112 and on the opposite side of the triangle on angle equals 62 degrees, then what do the two missing interior angles of the triangle equal?
50 degrees and 68 degrees
Triangle ABC is inside triangle ADE (they are similar). Side AB is on side AD and side AC is on side AE. Both triangle share angle A. Side BC equals 6in and side DE equals 8in. The length of AC is 9. What is the length of AE?
12in
a straight line that intersects a circle at 2 points
secant
If the radius of a circle is 15m and the angle measurement of a sector in the circle is 82 degrees, what is the length of the arc? (Round to hundredths)
21.47m
What is the distance between (2, 5) and the midpoint of (8, 6) and (2, 5)? (Round to hundredths)
3.04
The exterior angle of a triangle is 138 degrees. The interior angles opposite the exterior angle are 4x+10 and 10x-8. What does x equal? (Round to the hundredths)
9.71
Triangle LMN is inside triangle LOP (they are similar). Side LM is on side LO and side LN is on side LP. Both triangle share angle L. Side MN equals 8in and side DE equals 12in. The length of LN is 20in. What is the length of NP?
10in