In the coordinate plane, quadrilateral ABCD has vertices A(-2,3) B(4,5) C(10,1) and D(8,-9). Let E, F,G, and H be the midpoints of AB, BC, CD and DA, respectively. Prove that quadrilateral EFGH is a parallelogram

In the image, point a marks the center of the circle. which two lengths must form a ratio of 1 : 2? (options are in the images since thought they were harmful phrases)

Which of the following is the result of expanding

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?