Question

Determine if each pair of triangles is similar. If similarity exists, write a similarity statement relating to the two triangles. Give a justification for your answer.
Answer:


triangle DOG ~ triangle CAT using the Side-Side-Side Similarity Postulate


triangle DOG ~ triangle CAT using the Angle-Side-Angle Similarity Postulate.


triangle DOG ~ triangle CAT using the Angle-Angle Similarity Postulate


triangle DOG is not similar to triangle CAT

Answer 1

@hartnn

Answer 2

@mathmath333

Answer 3

u have
\(\angle D\cong \angle C\)
and \(\angle G\not \cong \angle T\)
the sum of the three angles of triangles is \(180^{\circ}\) so find
\(\angle O\) and \(\angle A\) and see if \(\angle A\cong \angle O\)

if it does the the triangle are similar by \(AA\) similarity postulate

otherwise they are not

Answer 4

otherwise they are not similar

Answer 5

so is it C?

Answer 6

is \(\angle A\cong \angle O\) ?

Answer 7

how ?

Answer 8

oh so its not similar?

Answer 9

how ?

Answer 10

idk plz help

Answer 11

\(\large\tt \begin{align} \color{black}{
\angle A + \angle C +\angle T =180\hspace{.33em}\\~\\
\angle O + \angle G +\angle D=180\hspace{.33em}\\~\\
}\end{align}\)

find angle O and angle A.

Answer 12

wait i dont think its similar, so it should be D

Answer 13

but why u don't think, justify

Answer 14

well because the triangles arent the same size

Answer 15

can u find angle A and angle O ?

Answer 16

no..

Answer 17

\(\large\tt \begin{align} \color{black}{
\angle A + 87 +27 =180\hspace{.33em}\\~\\
\angle O + 23+87=180\hspace{.33em}\\~\\
}\end{align}\)

Answer 18

now find it

Answer 19

if \(\huge \angle A= \angle O\) then option C
is correct otherwise option D

Answer 20

angle A = 66

Answer 21

angle O = 70

Answer 22

so what u think ?

Answer 23

are they equal

Answer 24

no there not equal

Answer 25

@mathmath333

Answer 26

yes so option \(\huge D\) is correct