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SECONDARY
GEOMETRY
HIGH SCHOOL GEOMETRY
SIMILARITY
Secondary
Calculus and Analysis
Algebra
Geometry
High school geometry
Circles
Congruence
Solid Geometry
Conic sections
Analytic geometry
Right triangles and trigonometry
Transformation properties
Performing transformations
Similarity
Non-right triangles and trigonometry
Statistics and Probability
MATH WORD PROBLEM
Trigonometry
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asked 2021-03-09
To determine: The ratio of the sides of the triangles ABC and GHI.
Given:
Triangle ABC that is 75% of its corresponding side in triangle DEF.
Triangle GHI that is 32% of its corresponding side in triangle DEF.
Similarity
asked 2021-03-09
Similar Triangles and Triginimetric Functions Use the figure below.
What does similarity imply about the ratios
\(\displaystyle\frac{{{B}{C}}}{{{A}{B}}},\frac{{{D}{E}}}{{{A}{D}}},{\quad\text{and}\quad}\frac{{{F}{G}}}{{{A}{F}}}\)
?
Similarity
asked 2021-03-09
When is a rank one matrix diagonalizable? Justify your answer. What is one choice of the diagonalizing similarity? What happens when it is not diagonalizable? Justify your answer.
Similarity
asked 2021-03-07
Compute the similarity dimension of a strictly self-similar fractal with a replacement ratio of 5 and a scaling ratio of 4. Round to the nearest thousandth.
Similarity
asked 2021-03-07
If hearts are geometrically similar and the volume of blood pumped in one beat is proportional to the volume of the heart, how much more blood will a heart 5 cm wide pump in one beat than a heart that is 3cm wide?
Similarity
asked 2021-03-05
To prove: The congruency of
\(\displaystyle\triangle{R}{K}{M}\stackrel{\sim}{=}\triangle{O}{M}{K}\)
.
Given information: The following information has been given
\(\displaystyle\angle{M}{R}{K}=\angle{K}{O}{M}={90}^{{\circ}}\)
\(\displaystyle\angle{R}{K}{M}=\angle{O}{M}{K}\)
KM is the common chord
Similarity
asked 2021-03-05
To write: the name of the postulate, that justifies the given statement.
Given information:In
\(\displaystyle\triangle{A}{V}{B}{\quad\text{and}\quad}\triangle{N}{V}{K},\angle{A}=\angle{N}={60}^{{\circ}}\)
.
The given figure is as follows:
Similarity
asked 2021-03-02
To prove:The congruency of
\(\displaystyle\vec{{{M}{H}}}\stackrel{\sim}{=}\vec{{{J}{O}}}\)
.
Given information:
The following information has been given GJKM is a rhombus
\(\displaystyle\angle{J}{O}{G}=\angle{M}{H}{G}={90}^{{\circ}}\)
Similarity
asked 2021-03-02
To determine: Whether the triangle ABC and GHI are similar to each other.
Given:
Triangle ABC that is 75% of its corresponding side in triangle DEF.
Triangle GHI that is 32% of its corresponding side in triangle DEF.
Similarity
asked 2021-02-27
A spotlight at a building corridor is fastened to a wall 8m above the floor. A lady 1.75m tall moves away from the wall at a speed of
\(\displaystyle{0.75}\frac{{m}}{{s}}\)
.
a.)at what rate is the lenght of her shadow increasing?
b.)at what speed is the tip of her shadow moving?
Similarity
asked 2021-02-26
To prove:The extended proportions that are needed to prove
\(\displaystyle\triangle{R}{S}{T}\sim\triangle{X}{Y}{Z}\)
by the SSS similarity theorem.
Given
\(\displaystyle\triangle{R}{S}{T},\triangle{X}{Y}{Z}\)
are two triangles.
Similarity
asked 2021-02-26
Are pairs of triangles similar?
Given information:
Similarity
asked 2021-02-23
Give the explanation for the relation between the scale factor and the similarity ratio.
Given:
The given statement is that the MNOP is a dilation of ABCD.
Similarity
asked 2021-02-21
Find the similarity ratio of two circles with areas
\(\displaystyle{75}\pi{c}{m}^{{2}}{\quad\text{and}\quad}{27}\pi{c}{m}^{{2}}\)
.
Similarity
asked 2021-02-14
Prove that the similarity of polygons is an equivalence relation.
Similarity
asked 2021-02-13
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
J(-6,8),K(6,6),L(-2,4),D(-12,16),G(12,12),H(-4,8)
Similarity
asked 2021-02-13
Are pairs of triangles similar?
Given information:
Similarity
asked 2021-02-12
Find the similarity ratio of two triangles with areas
\(\displaystyle{81}{f}{e}{e}{t}^{{2}}{\quad\text{and}\quad}{100}{f}{e}{e}{t}^{{2}}\)
.
Similarity
asked 2021-02-11
To determine:Given triangles are similar or not, if not give reason.
Given information:
Similarity
asked 2021-02-11
To determine:One similarity and one difference between the graphs of
\(\displaystyle\frac{{{x}^{{2}}}}{{{25}}}+\frac{{{y}^{{2}}}}{{{16}}}={1}{\quad\text{and}\quad}\frac{{{\left({x}-{1}\right)}^{{2}}}}{{{25}}}+\frac{{{\left({y}-{1}\right)}^{{2}}}}{{{16}}}={1}\)
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