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Mathematics 17 Online
OpenStudy (anonymous):

The two triangles below are congruent. Which of the following are congruent by CPCTC? Select the best answer from the choices provided. ∠A ≅ ∠R ∠B ≅ ∠R ∠B ≅ ∠T ∠A ≅ ∠S

OpenStudy (anonymous):

second one

OpenStudy (anonymous):

how????

OpenStudy (ranga):

Let us call the first triangle ABC. In congruent triangles, you have to name the vertices in proper order. What should be the order of vertices of the second triangle? ABC congruent to ? ? S I have put S in the last position because they have marked angle C = angle S. Can you fill the other two question marks?

OpenStudy (anonymous):

no cause this stuff I reallydont get it

OpenStudy (mathmale):

Dear L and F: What does "congruent" mean to you? If those two triangles are indeed congruent, what does that tell you about the relationship among the sides and angles of the two triangles?

OpenStudy (anonymous):

that they are congruent I don't know

OpenStudy (zubhanwc3):

same size length and angle, thats congruency.

OpenStudy (mathmale):

Knowing the meaning of "congruent" is essential to solving this problem. What does CPCTC stand for (I don't know myself)?

OpenStudy (zubhanwc3):

give us the triangles

OpenStudy (zubhanwc3):

we wont know with a blank page

OpenStudy (ranga):

CPCTC: Corresponding Parts of Congruent Triangles are Congruent.

OpenStudy (anonymous):

I did send u the triangles

OpenStudy (zubhanwc3):

but what triangles >.>

OpenStudy (zubhanwc3):

they ain below

OpenStudy (ranga):

zub...: See the link in the first reply.

OpenStudy (zubhanwc3):

ah mb.

OpenStudy (zubhanwc3):

but still, thats a link, not a tri:P

OpenStudy (zubhanwc3):

c-s r-b t-a

OpenStudy (zubhanwc3):

b

OpenStudy (zubhanwc3):

the one dash side is the same length and the one dash side of the othe tri 2 dash to 2 dash, arc to arc. flip the tri mentally, or redraw it

OpenStudy (mathmale):

L and F: Take another look at the two triangles that are given to you. Note that side AB of the first triangle has no cross mark, but that side AC has one cross mark and side BC has two cross marks. Note that in the other triangle you see a similar pattern. So, the two sides with no cross mark are congruent (are of equal length). The two sides with one cross mark are likewise congruent. So are the two sides with 2 cross marks. As @ranga reminds us, CPCTC: Corresponding Parts of Congruent Triangles are Congruent. Thus, the corresponding angles in the first and second triangles are congruent. Last step: Look at the first triangle. The side with 1 cross mark is AC, and opposite that side is angle B. Then look at the second traingle. The side in the 2nd triangle with 1 cross mark is ST, and the angle opposite side ST is R. By CPCTC: Corresponding Parts of Congruent Triangles are Congruent, angles B and R are congruent.

OpenStudy (zubhanwc3):

mathmale, i just said that,

OpenStudy (zubhanwc3):

medal plz ^^^

OpenStudy (anonymous):

yeah he basically just said that

OpenStudy (anonymous):

thanks Zub

OpenStudy (zubhanwc3):

np

OpenStudy (zubhanwc3):

close when u are done, and open another pod for another q

OpenStudy (anonymous):

I know

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