CIRCLES/TRIANGLES
If the arc angle is 78 degrees, how many degrees is the inscribed angle that goes to that arc?
39 degrees
Could {3,9,11} represent the lengths of the sides of a triangle?
Yes
What are the three rigid motions?
Translation, Reflection and Rotation
What quadrilateral has both set of opposite sides are parallel and congruent, but the diagnols are not congruent?
Rhombus
Find the midpoint of (-2,4) and (8,-2).
What is the circumference of a circle with radius 6? (Round to nearest tenth)
37.7
In an isosceles triangle, one of the base angles measures 43 degrees. What is the measure of the vertex angle?
94 degrees
Rule: (x, y ) --> ( x, -y );
Reflection over the x-axis
What is the area of a triangle with a height of 5 in and base distance of 12 in?
30 in2
What is the slope between these points (2,3) and (9,5)? (Simplify the fraction)
1/3
In a right triangle one of the sides is 9.2 cm and the Hypotenuse is 16.1 cm. Find the length of the third side. (Round to the nearest tenth)
13.2 cm
In △ABC, DE is parallel to BC. If AD = 4, DB = 6, and AE = 5, find EC?
EC=7.5
What are the 2 properties that make a parallelogram a rectangle?
1. The diagonals are congruent.
2. There are 4 right angles.
Find the distance between (3,5) and (11,11)
10
Two chords intersect inside a circle. One chord is divided into segments of lengths 4 and 6. The other chord is divided into segments of lengths 3 and x. Solve for x.
x=8
If a translation maps (x,y)-> (x-2,y+3), what are the coordinates of A, the image of A'(-4,-3) after this translation?
(-2,-6)
Find the volume of a cylinder with diameter 6 inches and height 8 inches.
226.2 in3
What is the equation of a line parallel to the line y=-1/2x+1 and goes through the point (-2,4)? (In Slope Intercept Form)
y=-1/2x+3
What is the area of a sector with the degree measure of 27 degrees and the diameter is 10 meters. (Rounded to the nearest tenth)
5.9 m2
Mike is flying a kite at a 32 degree angle. The kites string is 20 feet long. How high up off the ground is the kite? (Round to nearest tenth)
10.6 feet
What is the coordinate of the point (1,0) after a translation up 2 and down 4 and then followed by a rotation of 90 degrees counter clockwise?
(1,0) --> (3,-4) --> (4,3)
Name the 5 properties of a parallelogram.
1. opposite sides are congruent
2. opposite sides are parallel
3. opposite angles are congruent
4. consecutive angles are supplementary
5. diagonals bisect each other
What is the equation of the perpendicular bisector between the points (2,4) and (8, 12)? (In Slope Intercept Form)
y-8=-3/4(x-5)