Tell whether PK is best described as a radius, chord, diameter, secant, or tangent of ⊙P⊙P.

RADIUS
Find the value of x.

X=12
Determine the value of xx in the diagram.

x=84
Find m∠JFH.

JFH = 47
When distributed what is -8(6x+3)
-48x-24
Tell whether JL is best described as a radius, chord, diameter, secant, or tangent of ⊙P⊙P.

TANGENT
Verify that the segment lengths form a triangle. Is the triangle acute, right, or obtuse?
6, 8, and 9
THEY FORM AN ACUTE ANGLE
Determine the value of xx in the diagram.

x=60
Find RS. Explain your reasoning.

RS=23
Simplify c-20=4-3c
c=6
Tell whether the common tangent is internal or external.

THE COMMON TANGENT IS 1 | EXTERNAL
Verify that the segment lengths form a triangle. Is the triangle acute, right, or obtuse?
10, 2√2, and 6√3
THEY FORM A RIGHT TRIANGLE
Which quadrilaterals always have perpendicular diagonals?
RHOMBUS
SQUARE
KITES
Find DC. Explain your reasoning.

DC = 20
Simplify -4(-3n-8)=10n+20
n=-6
Points YY and ZZ are points of tangency. Find the value of aa.

A=1|2
Find the value of x. Write your answer in simplest form.

X=16√3
Find the measure of ∠C. Write your answer as a decimal.

m∠C=86.5
Find the coordinates of the circumcenter of the triangle with the given vertices.
T(−6,−5), U(0,−1), V(0,−5)
(-3,-3)
Simplify 9x -16=3x-(x-5)
X=3
In the diagram, QN=QP=10, JK=4xQN=QP=10, JK=4x, and LM=6x−24LM=6x−24. Find the radius of ⊙Q⊙Q.

THE RADIUS IS 10 UNITS
Find the geometric mean of 36 and 48 to the nearest tenth.
THE GEOMETRIC MEAN IS 41.6
You are building a door frame. Both sides are 80.5 inches long and the top and bottom are both 36.5 inches wide. Which additional statement does not give enough information to conclude that the door frame forms a rectangle?
CONGRUENT OPPOSITE ANGLES
Tell whether the orthocenter of the triangle with the given vertices is inside, on, or outside the triangle. Then find the coordinates of the orthocenter.
K(−8, 5), L(−6, 3), M(0, 5)
Outside
Solve 2(xy+9)-4x=x(5+2y)
X=2