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Mathematics 21 Online
OpenStudy (anonymous):

Question!

OpenStudy (anonymous):

Millie is using a software program that allows her to change the shape of a two-dimensional figure by making changes to the angles at vertices. She starts with a quadrilateral with all four angles congruent. She moves the vertices to make two pairs of congruent angles. Which statement best describes the figure that she created? She changed a rectangle to parallelogram. She changed a rhombus to a parallelogram. She changed a rhombus to a kite. She changed a rectangle to a trapezoid.

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

Let's break down what's going on here

jimthompson5910 (jim_thompson5910):

"She starts with a quadrilateral with all four angles congruent." means she starts with a rectangle

jimthompson5910 (jim_thompson5910):

since all rectangles have 4 congruent angles

jimthompson5910 (jim_thompson5910):

then "She moves the vertices to make two pairs of congruent angles. " so she basically pairs off the opposite angles and makes each pair equal to one another (but NOT all four are equal -- eg: she might have a quadrilateral with angles of 60, 60, 40 and 40) If you draw this out, you'll see that you'll get a parallelogram

jimthompson5910 (jim_thompson5910):

So "She changed a rectangle to parallelogram."

OpenStudy (anonymous):

a?

jimthompson5910 (jim_thompson5910):

oh yes, the answer is a), sry I got distracted for a second...

OpenStudy (anonymous):

Thanks!

jimthompson5910 (jim_thompson5910):

you're welcome

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