Identify two similar triangles in the figure, and explain why they are similar. then find ab.

Therefore,

ΔABD ~ ΔACB by Angle-Angle Similarity Postulate

AB is 8 unit.

Step-by-step explanation:

Given:

∠ABD ≅ ∠BCD

AD = 4

DC = 12   Therefore AC =AD + DC = 4 +12 =16

AC =16

To Find:

Similar Triangles

AB =?

Solution:

In  ΔABD  and ΔACB  

∠ABD ≅ ∠ACB      ……….{Given}

∠ A  ≅ ∠ A               .……..{Reflexive Property}

ΔABD ~  ΔACB  ….{By Angle-Angle Similarity Postulate}

If two triangles are similar then their sides are in proportion.  

Substituting the values we get

Therefore,

ΔABD ~ ΔACB by Angle-Angle Similarity Postulate

AB is 8 unit.

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:

hello, there is a new name in town and that's the human spider!

answer: d.) the total number of protons and neutrons is 15

merry christmas!

~

your friendly neighborhood human spider! .