On the set of axes, the vertices of ΔPQR have coordinates P(-6,7), Q(2,1), and R(-1,-3). What is the area of ΔPQR?

In right triangle ΔABC, m∠C = 90°. If cos B = 5/13, which function also

equals 5/13?

In the diagram, the measure of major arc ABC = 268°. What is the number of degrees in the measure of ∠ABC?

Given ΔMRO shown with trapezoid PTRO, MR = 9,

MP = 2, and PO = 4, what is the length of TR?

A line segment is dilated by a scale factor of 2 centered at a point not on the line segment. Which statement regarding the relationship between the given line segment and its image is true?

Which figure always has exactly four lines of reflection that map the figure onto itself?

In the diagram of circle O, chord DF bisects chord BC at E. If BC = 12 and FE is 5 more than DE, then find FE.

Kelly is completing a proof based on the figure. She was given that ∠A ≅ ∠EDF, and has already proven AB ≅ DE. Which pair of corresponding parts and triangle congruency method would not prove ΔABC ≅ ΔDEF?

In the diagram, DE divides AB and AC proportionally, m∠C = 26°, m∠A = 82°, and DF bisects ∠BDE. Find the measure of ∠DFB.

Which set of statements would describe a parallelogram that can always be classified as a rhombus? Select all that apply.

The equation of a circle is $$x^2+\left(y-6\right)^2-16=0$$  . What are the

coordinates of the center and the length of the radius of the circle?

In the diagram of ΔRST, m∠T = 90°, RS = 65, and ST = 60. What is the measure of ∠S, to the nearest degree?

Triangle A'B'C' is the image of ΔABC after a dilation followed by a translation. Which statement(s) would always be true with respect to this sequence of transformations?

Line segment RW has endpoints R(-4,5) and W(6,20). Point P is

on RW such that RP:PW is 2:3. What are the coordinates of point P?

The pyramid shown has a square base, a height of 7, and a volume of 84. What is the length of the side of the base?

In the diagram of triangle MNO, ∠M and ∠O are bisected by MS and OR, respectively. Segments MS and OR intersect at T, and m∠N = 40°. If m∠TMR = 28°, find the measure of angle OTS.

In quadrilateral BLUE shown, BE ≅ UL. Which information would be sufficient to prove quadrilateral BLUE is a parallelogram?

A ladder 20 feet long leans against a building, forming an angle of 71° with the level ground. To the nearest foot, how high up the wall of the building does the ladder touch the building?

A fabricator is hired to make a 27-foot-long solid metal railing for the stairs at the local library. The railing is modeled by the diagram. The railing is 2.5 inches high and 2.5 inches wide and is comprised of a rectangular prism and a half-cylinder. How much metal, to the nearest cubic inch, will the railing contain?