Prove: quadrilateral abcd is a parallelogram.
reason
proof:
statement
1. ac and bd bisect each other.
2. ae = ec
be= ed
3. m_aeb = m_ced
4. aabe acde
given
definition of bisection
sas criterion
5. lacd xl cab
corresponding angles of congruent
i triangles are congruent.
what is the reason for step 3 of this proof?
a. alternate interior angles theorem
b. corresponding angles in congruent triangles are congruent.
c. for parallel lines cut by a transversal, corresponding angles are congruent.
d. vertical angles theorem
e. sas criterion for congruence

Sunday: 1 1 2 monday: 1 tuesday: 2 1 2 wednesday: 1 3 4 thursday: 2 friday: 1 1 2 saturday: 2 jenna is a swimmer and trains every day. the schedule shown outlines the number of hours she trains each day. what is the total number of hours that jenna trains during the week?

Name and describe the three most important measures of central tendency. choose the correct answer below. a. the mean, sample size, and mode are the most important measures of central tendency. the mean of a data set is the sum of the observations divided by the middle value in its ordered list. the sample size of a data set is the number of observations. the mode of a data set is its highest value in its ordered list. b. the sample size, median, and mode are the most important measures of central tendency. the sample size of a data set is the difference between the highest value and lowest value in its ordered list. the median of a data set is its most frequently occurring value. the mode of a data set is sum of the observations divided by the number of observations. c. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is the product of the observations divided by the number of observations. the median of a data set is the lowest value in its ordered list. the mode of a data set is its least frequently occurring value. d. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is its arithmetic average. the median of a data set is the middle value in its ordered list. the mode of a data set is its most frequently occurring value.

Multiplying fractions by whole number 5 x 1/3=?