Examples of Similarity Problems and Solutions

To calculate:The ratio of line AB and AC.
Given information:

foass77W 2020-11-23

To determine: The value of segment HF
Given information:
The following information has been given
EH=7
HG=3

midtlinjeg 2020-11-20

Draw a graph for the original figure and its dilated image. Check whether the dilation is a similarity transformation or not.
Given:
The given vertices are
V(-3,4),W(-5,0),X(1,2),Y(-6,-2),Z(3,1)

Dillard 2020-11-20

To determine: The value of segment HF
Given information:
The following information has been given
EH=7
HG=4

Wribreeminsl 2020-11-17

Solve for LM. Hint: Read your similarity statement. Set up a proportion, and solve for $\times$ first.

Tyra 2020-11-16

A conical tank is of height 12 m and surface diameter 8m. Water is pumped into the tank at the rate of $50 \frac{m^{3}}{min}$ . How fast is the water level increasing when the depth of the water is 6 m?

beljuA 2020-11-08

Proving Similarity in the figure DEFG is a square. Prove the following:
$△ A D G \sim △ F E B$
Given:
The given figure is,

Marvin Mccormick 2020-11-08

To determine:The difference and similarity between the graphs of the equations $\frac{x^{2}}{9} - \frac{y^{2}}{1} = 1 and \frac{{(x - 3)}^{2}}{9} - \frac{{(y + 3)}^{2}}{1} = 1$

Armorikam 2020-11-06

Show the similarity $\int \frac{x}{{(x^{2} + a^{2})}^{m}} d x = \frac{1}{2 (- m + 1) {(x^{2} + a^{2})}^{m - 1}} + C$ using the substitution $u = x^{2} + a^{2}$ . Also check that the integration is correct by deriving the answer.

ankarskogC 2020-11-05

Triangle MPT with $\overset{―}{N R} ∣ ∣ \overset{―}{M T}$ is shown below. The dimensions are in centimeters.

Which measurement is closest to the length of $\overset{―}{R T}$ in centimeters?
1)1.4
2)1.8
3)3.4
4)4.3

Tahmid Knox 2020-11-01

Proving Similarity In the figure CDEF is a rectangle. Prove that $△ A B C \sim △ E B F$ .
Given:
The given figure is,

Cabiolab 2020-11-01

To calculate:The ratio of line AB and BC.
Given information:
The following diagram is given

Maiclubk 2020-10-31

Determine whether $△ A B C and △ D E F$ are similar for each set of measures. If so, identify the similarity criterion.
1. $m ∠ A = 20, m ∠ C = 20, m ∠ D = 40, m ∠ F = 40$
2. $m ∠ A = 20, m ∠ C = 4 u, m ∠ D = 20, m ∠ F = 40$
3. $A B = 20, B C = 40, m ∠ B = 53$ ,
$D E = 10, E F = 20, m ∠ E = 53$

Daniaal Sanchez 2020-10-28

Using Similarity Express x in terms of a, b, and c.
Given:
The given pair of triangles is similar.
The given pair of triangle is,

chillywilly12a 2020-10-28

Describe one similarity and one difference between the definitions of $\sin 0, and \cos 0$ , where 0 is an acute angle of a right triangle.

avissidep 2020-10-28

An inverted cone (base above the vertex) is 2 m high and has a base radius of $\frac{1}{2}$ m. If the tank is full, how much work is required to pump the water to a level 1 m above the top of the tank?

Globokim8 2020-10-27

Are pairs of triangles similar?
Given information:

coexpennan 2020-10-27

Given $△ D E F and △ E G F$ in the diagram below, determine if the triangles are similar. If so, write a similarity statement, and state the criterion used to support your claim.

pedzenekO 2020-10-27

Check whether the given dilationis a similarity transformation or not.
Given:
The given dilation is

abondantQ 2020-10-27

Draw a graph for the original figure and its dilated image. Check whether the dilation is a similarity transformation or not.
Given:
The given vertices are
original $\to A (2, 3), B (0, 1), C (3, 0)$
image $\to D (4, 6), F (0, 2), G (6, 0)$

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