Examples of Similarity Problems and Solutions

To determine:To Find:the measure of side VC in the figure shown such that VA

geduiwelh 2021-01-13

(Euler line) Prove that the orthocenter M, the center O of the circumscribed circle and the barycenter S are collinear. The point S divides the segment OM in the ratio 1:2.

Chaya Galloway 2021-01-10

To find: The values of KP, KM, MR, ML, MN and PR.
Given:

$\overset{―}{P R} ∣ ∣ \overset{―}{K L} = 9, \ln = 16, P M = 2 (K P)$
KM=KP+PM=3KP

FobelloE 2021-01-08

Write a similarity statement relating the three triangles in the diagram.

opatovaL 2021-01-07

To write three similarity statements about the triangles and the reason that they are similar.
Given that

CoormaBak9 2020-12-30

To sketch:The graph from the points and verify that the dilation is a similarity transformation.
Given information:
G(-4,-4),H(-1,2),J(2,-1),K(-3,-2)L(1,0).

Tyra 2020-12-29

To determine:To prove:The congruency of $∠ P B C \tilde{=} ∠ P B D$ .
Given information:
The following information has been given
$∠ B P C = ∠ B P D = 90^{\circ}$
$∠ C = ∠ D$

Wribreeminsl 2020-12-28

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
M(1,4), P(2,2), Q(5,5), S(-3,6),T(0,0),U(9,9)

opatovaL 2020-12-25

A wire is attached to the top of a pole. The wire is 7 ft longer than the pole, and the distance from the wire to the bottom of the pole is 7 ft less than the height of the pole. Find the length of the wire and the height of the pole.

The length of the wire is ? ft, and the height of the pole is ? ft.

Chardonnay Felix 2020-12-22

To Complete: the statement $△ R W Z =$ ? in the figure shown.
Given:
Figure is shown below.

Wribreeminsl 2020-12-17

To sketch:The graph from the points and verify that the dilation is a similarity transformation.
Given information:
A(-3,1),B(9,7),C(3,2),D(-1,1)E(3,3),F(1,0).

Line 2020-12-13

To prove:The congruency of $\vec{S O} \tilde{=} \vec{T O}$ .
Given information: The following information has been given O is the center of the circle
$∠ S O V = ∠ T O W$
$∠ W S O = ∠ V T O$

Kye 2020-12-12

Whether the triangle are similar. if so write the similarity statement and if not what would be the sufficient to prove the triangle similar.
Given:

Elleanor Mckenzie 2020-12-12

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.

floymdiT 2020-12-06

To determine:Whether each pair of figures is similar and also write similarity statement and scale factor.
Given information:
Given the figure.

OlmekinjP 2020-12-05

Describe one similarity and one difference between the graphs of $x \frac{2}{25} + y \frac{2}{16} = 1 and (x - 1) \frac{2}{25} + (y - 1) \frac{2}{16} = 1$ .

Mylo O'Moore 2020-11-30

To determine:To prove: $△ R S T \sim △ X Y Z$ by the SAS similarity theorem.
Given:
The triangles are similar by theorem SAS.
$∠ R = ∠ X$ (Given)

EunoR 2020-11-30

To determine:To find:The height of the wall of the Warehouse.
Given:
The height of the eye of a person above the floor is $5 \frac{1}{2}$ ft and the distance between person and mirror is $2 \frac{1}{2}$ ft.

sibuzwaW 2020-11-29

Proving Similarity in the figure DEFG is a square. Prove the following:
ADEB=DGFE
Given:
The given figure is,

BenoguigoliB 2020-11-26

Discuss the difference and similarity between percentile and standard score norms.

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