Which statements prove that a quadrilateral is a parallelogram? Select each correct answer.

Quadrilateral DEFG has two sets of consecutive angles that are supplementary.

Quadrilateral DEFG has one diagonal that bisects the other diagonal.

Quadrilateral DEFG has only one set of opposite angles that are congruent.

Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel.

Which sentence describes why polygon mnop is congruent to polygon jklp? a. polygon jklp maps to polygon mnop through a translation. b. polygon jklp maps to polygon mnop through a rotation. c. polygon jklp maps to polygon mnop through a dilation. d. polygon jklp maps to polygon mnop through a stretch.

When you arrive at the lake, your friend realises he hasn’t got any swimming trunks. you need to ride to a sports shop. the sports shop is 8350 metres away. how many metres is it to cycle there and back?

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.