Find the distance between the two given points. Round your answer to the nearest thousandth (3 decimal places). The coordinate grid spans from just below negative 5 to 10 on the x-axis and from below negative 5 to above zero on the y-axis. Both axes are scaled in increments of 1 with major gridlines every 5 units. The blue line segment connects two labeled points: (negative 3, negative 3) on the third quadrant and (8, negative 4) on the fourth quadrant. The segment slopes slightly downward from left to right. [answer0]  

Suppose that triangle DEF can be generated from triangle ABC by some isometry. Also suppose that triangle XYZ can be generated from triangle DEF by some isometry.  From this we can conclude that .

Equilateral triangle ABC has a perimeter of 72 centimeters. A perpendicular bisector is drawn from  to side  at point . What is the length of ?

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.