A parallelogram has coordinates of: K: (1, 2) J: (5, 2) G: (0, 8) What is a possible coordinate for H? A slanted parallelogram labeled GHJK is shown. The top side extends horizontally from G to H, and the bottom side extends horizontally from K to J. The left side connects G to K and slopes downward to the right. The right side connects H to J and slopes downward to the right, mirroring segment GK. A dashed vertical segment is drawn from the top side down to point K on the bottom side, forming a right angle with the top side, indicated by a small square marking the right angle near the top. The dashed vertical segment is labeled “x cm.” The base JK is marked with a double-headed arrow indicating its length.

An angle bisector of an equilateral triangle always divides the triangle into two congruent triangles.

Quadrilateral ABCD with coordinates A = (0,1) B = (2,4) C = (6,0) D = (4,-3) is a ______ .

The coordinates of quadrilateral ABCD are as follows: A=(3,0), B=(7,1), C=(6,-4) and D=(-2,-2). Find the coordinates of quadrilateral A’B’C’D’ which is the rotation of ABCD clockwise about the origin. Coordinates A’ ([ans0],[ans1]) B’ ([ans2],[ans3]) C’ ([ans4],[ans5]) D’ ([ans6],[ans7])

Triangles with the same base and height must be congruent.

Which postulate could you use to prove that Points G, H, and I, all reside on Plane P? The blue parallelogram is labeled P and outlined in black. The figure is tilted to the right. Inside the shape, three solid black dots are labeled G, H, and I, representing interior points.

Which of the following statements is true? Check all that apply.  

Find the coordinates of the indicated point after performing the described transformation on .   , the image of point A after a reflection of  over the line x = –4.The coordinate grid spans from just below negative 6 to just above 6 on the x-axis and from below negative 3 to above 8 on the y-axis. Both axes are scaled in increments of 1. Triangle ABC is plotted on the coordinate grid. Point A is at (negative 2, 3), point B is at (2, 5), and point C is at (2, 1). Segment BC is a vertical line, segment AB is diagonal, and segment AC is also diagonal. The triangle spans the first and second quadrants. ( [answer8] , [answer9] ) 

Given and find the length of line segment CD. Triangle ACD is outlined in black, with vertex A at the top and base CD at the bottom. A vertical segment AB extends from vertex A to point B on the base, forming right angles at B. This divides the triangle into two smaller triangles, ACB and ADB. Tick marks on sides AC and AD indicate that they are congruent, and arcs at angles C and D highlight the corresponding angles.

. From this we can conclude that .  Triangle ACB has vertex A at the top, C at the bottom left, and B at the bottom right. A perpendicular segment AF is drawn from vertex A to base BC, forming a right angle at point F. Segments CE and BD are drawn from vertices C and B to sides AB and AC, respectively, intersecting at a point inside the triangle. Tick marks on segments CD and AD indicate they are congruent. Arcs mark angles ACE and BCE, highlighting angle relationships at vertex C.