The figure below shows rectangle abcd.
the two-column proof with missing statement proves that the diagonals of the rectangle bisect each other.

statement

reason

abcd is a rectangle.

given

and are parallel

definition of a parallelogram

and are parallel

definition of a parallelogram

alternate interior angles theorem

definition of a parallelogram

∡adb ≅ ∡cbd

alternate interior angles theorem

angle-side-angle (asa) postulate

cpctc

cpctc

bisects

definition of a bisector

which statement can be used to fill in the blank space?

∡abd ≅ ∡dbc

∡cad ≅ ∡acb

∡bda ≅ ∡bdc

∡cab ≅ ∡acb

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn.if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.

Given: pqrs is a parallelogram prove: pr and qs bisect each other at t

Time (minutes) amount of water (gallons) practice 1. jin fills up a 510-gallon pool in the backyard for her children. she fills it with the garden hose at a rate of 17 gallons per minute. after it is filled, she lets it sit for 30 minutes in order to let the water temperature rise. the children then get in and have fun for an hour. the pool loses about 5 gallon of water each minute due to their splashing and playing. at the end of the hour, they tear the pool while getting out, which causes a leak the pool then begins to lose water at a rate of 2 gallons per minute. a. complete the table to show the amount of water in the pool after each minute. b. create a graph to model the problem situation. include when the pool will be empty. c. write a piecewise function that models this problem situation. explain your reasoning for each piece of the function. d. identify the x- and y-intercept. explain what they mean in terms of the problem situation, atamantha a cul 80 100 120 150 200 ning, inc