Abc is similar to pqr. find the measure of a.

A is equal to 92 degrees.

In similar triangles, the angles are all the same. So first you have to look for the placement of the letters in the congruence statement. Since ABC = PQR, we know that the first letters (A and P) are congruent. The same can be said of the middle letters (B and Q) or the end letters (C and R).

Since P is equal to 92 degrees and A is equal to P, then we know A is equal to 92 degrees.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

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