Expert Help with High School Geometry

Write an informal proof to show triangles ABC and DEF are similar.

Given,
${\displaystyle \mathrm{△}ABC}$ with AB=4, BC=6 and CA = 2
${\displaystyle \mathrm{△}DEF}$ with DE=2, EF=3 and FD = 1
We have to prove the two triangles are similar.

To Calculate: Height of the telephone pole.
Given information: A 60 m tower casts a 50 m shadow, while one half blick away a telephone pole casts a 20 m shadow.
Formula used: Here, we are using the concept of hupothenuse leg similarity.

Determine whether the polygons are similar. If so, write a similarity statement and give the scale factor. If not, explain.

Identify a similarity statement for the two triangles.

1.The triangles are not similar
2.${\displaystyle \mathrm{△}DEF\sim \mathrm{△}WXY}$
3.${\displaystyle \mathrm{△}FED\sim \mathrm{△}WXY}$
4.${\displaystyle \mathrm{△}DEF\sim \mathrm{△}XYW}$
5.${\displaystyle \mathrm{△}FED\sim \mathrm{△}XYW}$

Triangle ABC Triangle FDE are similar. What is the similarity ratio from triangle ABC to FDE?

Determine the length of y.
Given:

Can the triangles below be proven similar by the SAS Similarity Postulate?

Yes, the SAS Similarity Postulate can be used because 2 sets of corresponding sides are proportional, and the included angles by these sides are congruent.
Yes, the SAS Similarity Postulate can be used because 2 sets of corresponding sides are congruent, and the included angles by these sides are congruent.
No, the SAS Similarity Postulate cannot be used because the corresponding angles are congruent but not included by the proportional sides.
No, the SAS Similarity Postulate cannot be used because the 2 sets of corresponding sides are not proportional.

Determine whatever each pair if figures is similar. If so, write the similarity statement and scale factor. If not, explain your reasoning.

Are the two triangles similar? If so, by what similarity shortcut?

SSS
SAS
AA
Not Similar

Complete the similarity statement.

${\displaystyle \mathrm{△}CBA\sim }$?

To explain: The way to know that each pair of triangle is congruent.
Given:
The given figure is as follows.

What similarity theorem is indicated by the figures at the right:
Given:

a)AA
b)SAS
c)SSS
d)ASA

Determine (if possible) the similarity postulate that proves the following two triangles are similar:

SAS similarity postulate
There is not enough information to determine whether the triangles are similar or not
AA similarity postulate
SSS similarity postulate

Are the two triangles similar? If yes, then complete the similarity statement.
Select all that apply.
${\displaystyle \mathrm{△}ACB\sim \mathrm{△}}$?

The triangles are not similar.
${\displaystyle \mathrm{△}EFD}$
${\displaystyle \mathrm{△}DFE}$
SAS similarity
SSS similarity
AA similarity

Determine if the triangles are similar.
If they are, complete the similarity statement and indicate the theorem that proves similarity.
If they are not similar, select "not similar" for both entries.

${\displaystyle \mathrm{△}JAK\sim \mathrm{△}}$? by ?

Coplanar circles that have the same center are called
a) concentric circles
b) tangent circles
c) congruent circles
d) common circles

To write: The plan to prove ${\displaystyle \mathrm{\angle }1\stackrel{\sim }{=}\mathrm{\angle }2}$.
Given:
The given figure is as follows.

To Find: The congruent corresponding parts then another congruence statement for the polygons.
Given: ${\displaystyle \mathrm{△}ABC\stackrel{\sim }{=}\mathrm{△}DEF}$

${\displaystyle \mathrm{△}KLM\sim }$?
A)similar, SSS similarity. ${\displaystyle \mathrm{△}RKS}$
B)similar. SAS similarity. ${\displaystyle \mathrm{△}KRS}$
C)not similar
D)similar. SAS similarity. ${\displaystyle \mathrm{△}RKS}$

To find: congruent criteria used to prove that the triangles are congruent.
Given information: ${\displaystyle \overline{WU}\stackrel{\sim }{=}\overline{ZV}\text{and}\overline{WX}=\overline{YZ}}$. ${\displaystyle \mathrm{\angle }U,\mathrm{\angle }V}$ are right angles