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Mathematics 13 Online
OpenStudy (anonymous):

If quadrilateral ABCD ~ quadrilateral RSVT, which of the following is NOT a true statement? ∠B ≅ ∠S ∠A ≅ ∠V ∠C ≅ ∠V ∠D ≅ ∠T

OpenStudy (anonymous):

mmmmmmm im not sure... XD

OpenStudy (anonymous):

first draw a picture

OpenStudy (anonymous):

so u can visualize it..

OpenStudy (ranga):

Just notice the order in which the vertices are named. In congruency and similarities, the order matter and they correspond to each other.

jimthompson5910 (jim_thompson5910):

Hint: the corresponding angles of similar triangles are congruent A corresponds to R (first letter of each) B corresponds to S (second letter of each) etc etc

jimthompson5910 (jim_thompson5910):

sorry not triangles, but polygons

OpenStudy (ranga):

ABCD RSVT A and R are congruent (first letter in each polygon) B and S are congruent (second letter in each polygon) C and V are congruent (third letter in each polygon) D and T are congruent (fourth letter in each polygon)

OpenStudy (anonymous):

im so confused

jimthompson5910 (jim_thompson5910):

Because quadrilateral ABCD ~ quadrilateral RSVT we can compare ABCD to RSVT and we see that A and R are the first letters, so they correspond and this means ∠A ≅ ∠R ----------------- B and S are the second letters, so they correspond and this means ∠B ≅ ∠S ----------------- C and V are the third letters, so they correspond and this means ∠C ≅ ∠V ----------------- D and T are the fourth letters, so they correspond and this means ∠D ≅ ∠T

OpenStudy (anonymous):

so ∠A ≅ ∠V is NOT a true statement?!

jimthompson5910 (jim_thompson5910):

that is correct, it should be ∠A ≅ ∠R

jimthompson5910 (jim_thompson5910):

or ∠C ≅ ∠V

OpenStudy (anonymous):

:) ok

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