The vertices of quadrilateral pqrs are p(4, 5), q(6, 6), r(9, 4), and s(7, 2). write a paragraph proof to determine whether quadrilateral pqrs is a parallelogram.

When benny’s sister penny is 24, benny’s age will be 125% of her age. how old is lenny? a) how old will benny be then? b)if benny is 12 years old now, how old is penny now? explain your reasoning.

Select the two pairs of figures that are similar.

What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality