The length of is shown. What other length can you determine for this diagram?  The slanted quadrilateral FGDE is outlined in black. Side GD is at the top, and side FE is at the bottom. Diagonals DF and GE intersect at a right angle, marked by a small square at the center of the left quadrant. Diagonal DF is divided into two equal segments by diagonal GE, indicated by tick marks. The side DE is labeled 12. Other sides and segments are unlabeled,

Select the image below that represents the construction of an angle bisector.

Write an equation for the line parallel to y = –3x + 4 that contains P(1, 4).

In the figure below, , , and . Which pair of angles are supplementary angles? “Four black straight lines are connected to form three distinct X-shaped intersections, creating a continuous zigzagging path across the image. At the leftmost intersection, four angles are formed. Angle 1 is on the left of the x-intersection. Angle 2 is at the top. Angle 3 is on the right, directly opposite angle 1. The angle at the bottom is unlabeled. The central intersection is created by one line extending from the upper left to the lower right and another line continuing from the lower right upward toward the third intersection. Angle 4 is labeled at the bottom of this intersection. The remaining three angles here are unlabeled. At the rightmost intersection, four angles are also formed. Angle 5 is at the top. Angle 6 is on the right side. The left and bottom angles are unlabeled. All labeled angles are marked with small numbers 1 through 6 placed within the corresponding wedge-shaped regions formed by the intersecting lines.”

Choose a congruence statement for the pair of triangles. The parallelogram MNOP has vertices labeled clockwise starting from the bottom left: M, N, O, and P. A diagonal connects vertex N to vertex P. Single tick marks indicate that sides NM and OP are congruent, while double tick marks show that sides MP and N O are congruent. The diagonal NP divides the parallelogram into two triangles: MNP and OPN. All sides and the diagonal are drawn with bold black lines.

Calculate the distance between the points -11 and 4 on a number line.

Find the circumcenter of the triangle  with E (4, 4), F (4, 2), and G (8, 2).

Are points B, J, and C collinear or noncollinear? The rectangular box has vertices labeled A, B, C, D, E, F, G, and H. The edges of the box are drawn in solid and dashed black lines to represent visible and hidden edges, respectively. The top face is ABCD, the bottom face is EFGH. Point E is located at the hidden intersection at the back that connects edges AE, EF, and EH. The top face includes points I and J, where I is at the midpoint of AB, and J is at the midpoint of BC. Point K is on the bottom edge of the front, at the midpoint of FG. Points I, J, and K are marked with bold black dots.

(03.04 LC) A complex character (5 points)

(03.05 MC) Lucky grinned, an impish, devil-may-care grin that lightened up his freckled face and bunched the tiny wrinkles at the corners of his eyes. Based on the context, the word impish most likely means (5 points)