Examples of Similarity Problems and Solutions

Find the point on the line y=2x+3 that is closest to the origin.

Burhan Hopper 2021-08-14

Find c.
Given:

Wotzdorfg 2021-08-14

Given: $\overset{―}{R S} ⊥ \overset{―}{A B}, \overset{―}{C B} ⊥ \overset{―}{A C}$
Prove: $△ B S R \sim △ B C A$

glasskerfu 2021-08-12

Given 2 similar triangles. Triagle1 has 2 sides known: 5cm and 3cm. The similar sides of the second triangle are equal to 45cm and 2x+13cm. Find the value of x.

Ernstfalld 2021-08-11

Write the triangle similarity statement and the reason for why the triangles are similar.

$△ X Y Z \sim △ ? B y : ?$

Tammy Todd 2021-08-11

To find: The value of x.
Given:

abondantQ 2021-08-11

So, we have

Given: AC=16, CB=10
E is the midpoint of $\overset{―}{C B}$
Find: DE

Ayaana Buck 2021-08-11

Given that $△ F G H$ is similar to $△ F E D$ , Calculate DE to the hundedths place.

Phoebe 2021-08-11

Determine whether the triangles are similar. If so, wrote the similarity statement and name the postulate or theorem you used.

Joni Kenny 2021-08-11

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

Cem Hayes 2021-08-11

Given the diagram, determine whether line OS is parallel to line PT.

1.yes, parallel
2.unable to determine
3.no, not parallel

Emily-Jane Bray 2021-08-11

To Complete: the statement WZ=? and RS=? in the figure shown.
Given:
Figure is shown below.

RW=15, ZR=10 and ZS=8

Tabansi 2021-08-11

Based on the drawing below, in order for $△ A B C$ to be similar to $△ D E F$ by SAS similarity, which of the following needs to be true?

A. $m ∠ D = 38^{\circ}$
B. $m ∠ D = 52^{\circ}$
C. $m ∠ F = 38^{\circ}$
D. $m ∠ F = 52^{\circ}$

smileycellist2 2021-08-11

Determine whether the polygons are similar. If so, write the similarity ratio and a similarity statement.
$△ R M P and △ U W X$

Clifland 2021-08-11

Determine whether the two triangles are similar. If they are, complete the similarity statement.
Select all that apply.
$△ T S U \sim △$ ?

The triangles are not similar.
$△ T S U \sim △ W V U$
$△ T S U \sim △ V W U$
By SAS similarity
By SSS similarity
By AA similarity

sanuluy 2021-08-10

Are the two triangles similar? If yes, then complete the similarity statement.
Select all that apply.
$△ R Q P \sim △$ ? by ? similarity

The triangles are not similar.
$△ F E D$
$△ E F D$
by SAS similarity
by SSS similarity
by AA similarity

emancipezN 2021-08-10

Finish the similarity statement. $△ T R S \sim △$ ?.

smileycellist2 2021-08-10

Tell which conjecture shows the triangles similar or write not similar if there is not a way to prove them similar
Given:

slaggingV 2021-08-10

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

SSS
SAS
AA
Not Similar

Alyce Wilkinson 2021-08-10

Similarity of triangles. Find x

As a rule, similarity problems in Geometry are always encountered with word-based problems and graphs that are implemented in this section. As one may assume, similarities implement logic, which is why similarity questions that you will find must be read more than once to understand why the answers contain specific solutions. It is one of the most interesting sections of Geometry, which is why you should explore the answers posted through the lens of logic. Take your time to explore sequences and variables if there are equations. Likewise, similarity geometry examples will help you to work with more advanced calculations.

Understanding Similarity in Geometry