Geometry for Enjoyment and Challenge Quizzes Chapter 8
Affiliate 8
Similar Polygons - all with Video Answers
Educators
Problem 1
Given: $\overline{\mathrm{BE}} \| \overline{\mathrm{CD}}$
lengths as shown
Detect: a ED
b CD
(Figure Cant Re-create)
Debasish D.
Numerade Educator
Trouble 2
Solve for $x$ and $y$ in the effigy shown.
(FIGURE CANT Copy)
Debasish D.
Numerade Educator
Problem 3
Solve for $p$ and $q$ in the figure shown.
(FIGURE Deceit Re-create)
Debasish D.
Numerade Educator
Problem iv
Given: a $\|$ b $\|$ c $\|$ d, lengths as shown,
$$\mathrm{KP}=15$$
Find: $\mathrm{KM}, \mathrm{MO},$ and $\mathrm{OP}$
(Figure CANT Copy)
Debasish D.
Numerade Educator
Problem 5
Solve for $x$ in the diagram shown.
(FIGURE Deceit COPY)
Debasish D.
Numerade Educator
Problem 6
Given: $\bending \mathrm{RVS} \cong \angle \mathrm{SVT}$
lengths as shown Notice: ST
(FIGURE Cant Copy)
Debasish D.
Numerade Educator
Problem vii
Given the diagram as marked, solve for $x$
(Figure Cant COPY)
Debasish D.
Numerade Educator
Problem viii
A $lx-\mathrm{m}$ tower casts a $l-\mathrm{chiliad}$ shadow, while half cake abroad a telephone pole casts a 20 -m shadow. How tall is the telephone pole?
Debasish D.
Numerade Educator
Trouble 9
Given: $\angle \mathrm{J} \cong \angle \mathrm{MKO}$
$$
\brainstorm{array}{fifty}
\mathrm{MK}=12, \mathrm{KO}=8 \\
\mathrm{MO}=10, \mathrm{JK}=iii
\end{array}
$$
Find: $\mathrm{PO}$ and $\mathrm{JP}$
(FIGURE Deceit COPY)
Debasish D.
Numerade Educator
Problem 10
Given: $\overleftarrow{\mathrm{SV}} \| \overleftarrow{\mathrm{RW}}$
$$
\begin{array}{l}
\mathrm{RW}=15, \mathrm{RS}=10 \\
\mathrm{ST}=3, \mathrm{WV}=eight
\end{array}
$$
Find: SV and VT
(FIGURE Deceit Re-create)
Debasish D.
Numerade Educator
Problem xi
Given: $\overleftarrow{\mathrm{CD}} \| \overleftarrow{{\mathrm{Be}}}$
$$
\begin{array}{l}
A C=18, A B=12 \\
A Due east=x, C D=24
\end{assortment}
$$
Notice: The perimeter of trapezoid BEDC
(Figure CANT COPY)
Debasish D.
Numerade Educator
Problem 12
Given: $\overrightarrow{\mathrm{GJ}}$ bisects $\bending \mathrm{FGH}$.
$$\begin{array}{l}\mathrm{FG}=10, \mathrm{GH}=eight \\\mathrm{FJ}=7\stop{array}$$
Notice: $\mathrm{JH}$
(Figure CANT COPY)
Debasish D.
Numerade Educator
Trouble thirteen
Given: $\mathbf{r}\|\mathbf{south}\| \mathbf{t}$
$$\begin{array}{l}\mathrm{WV}=iii \\\mathrm{WX}=8 \\\mathrm{QY}=9\end{array}$$
Find: $\mathrm{QZ}$ and $\mathrm{ZY}$
(FIGURE CANT COPY)
Debasish D.
Numerade Educator
Trouble 14
Given: $\overrightarrow{\mathrm{PT}}$ bisects $\angle \mathrm{RPQ}$.
$$\mathrm{PR}=30, \mathrm{PQ}=24$$
Find: The coordinates of indicate $R$
(Figure CANT Copy)
Debasish D.
Numerade Educator
Problem 15
Given: $\angle i \cong \angle 2$
Determination: $\frac{\mathrm{KM}}{\mathrm{JK}}=\frac{\mathrm{MO}}{\mathrm{OP}}$
(FIGURE CANT Copy)
Debasish D.
Numerade Educator
Problem 16
Given: $\angle 3 \cong \angle five$
Prove: $\frac{\mathrm{RV}}{\mathrm{VT}}=\frac{\mathrm{RS}}{\mathrm{ST}}$
(Figure CANT Copy)
Debasish D.
Numerade Educator
Problem 17
Given: WYZB is a trapezoid with bases
$\overline{\mathrm{WB}}$ and $\overline{\mathrm{YZ}}$
$\overleftarrow{\mathrm{XA}} \| \overleftarrow{\mathrm{YZ}}$
Testify: $\frac{\mathrm{WX}}{\mathrm{XY}}=\frac{\mathrm{WC}}{\mathrm{CZ}}=\frac{\mathrm{BA}}{\mathrm{AZ}}$
(FIGURE Deceit COPY)
Debasish D.
Numerade Educator
Trouble 18
Given: $\overleftarrow{\mathrm{Be}} \| \overleftarrow{\mathrm{CD}}$
$A B=4 10, B C=x$
$A D=8 10, B Eastward=5 ten$
Detect: $\mathrm{AE}$ and $\mathrm{CD}$ (in terms of $\mathrm{10}$ )
(FIGURE Cant COPY)
Debasish D.
Numerade Educator
Problem 19
a One side of a triangle is $4 \mathrm{cm}$ longer than another side. The ray bisecting the angle formed past these sides divides the reverse side into $5-\mathrm{cm}$ and $3-\mathrm{cm}$ segments. Find the perimeter of the triangle.
b If the get-go side of the triangle in part a were $x$ cm longer than the 2d side and the other information were unchanged, find the triangle's perimeter in terms of $10 .$
Suman Saurav T.
Numerade Educator
Trouble 20
Given: $ \stackrel{\leftrightarrow}{\mathrm{GK}} \| \stackrel{\leftrightarrow}{\mathrm{H} \mathrm{J}}$
lengths equally shown Observe: The perimeter of $\triangle \mathrm{HJF}$
(FIGURE Deceit COPY)
Debasish D.
Numerade Educator
Problem 21
Sketch a triangle ABC, and locate a betoken P on $\overline{\mathrm{BC}}$ such that $\overrightarrow{\mathrm{AP}}$ bisects $\angle \mathrm{BAC}$. If the perimeter of $\triangle \mathrm{ABC}$ is $44, \mathrm{BP}=half-dozen,$ and $\mathrm{PC}=x,$ find $\mathrm{AB}$ and $\mathrm{Air conditioning}$
Debasish D.
Numerade Educator
Problem 22
Given: $\stackrel{\leftrightarrow}{\text { VS }} \|\stackrel{\leftrightarrow}{\text { MR }}$
$\mathrm{Tv}=12, \mathrm{VM}=eight, \mathrm{TS}=fifteen$
$\mathrm{SR}=\mathrm{TW}=\mathrm{TX}$
Discover: $\mathrm{XP}$
(Figure CANT COPY)
Debasish D.
Numerade Educator
Problem 23
Given: $\stackrel{\leftrightarrow}{\mathrm{AC}} \perp \overline{\mathrm{Be}}$
$\angle 1 \cong \bending 4$
Conclusion: $\frac{\mathrm{BD}}{\mathrm{BF}}=\frac{\mathrm{DE}}{\mathrm{EF}}$
(FIGURE CANT Copy)
Debasish D.
Numerade Educator
Trouble 24
Given: $\stackrel{\leftrightarrow}{\mathrm{GD}} \| \stackrel{\leftrightarrow}{\mathrm{Iron}}$
$\overleftarrow{\mathrm{BD}} \| \stackrel{\leftrightarrow}{\mathrm{CE}}$
Prove: $\frac{\mathrm{AB}}{\mathrm{AC}}=\frac{\mathrm{AG}}{\mathrm{AF}}$
(Effigy Cant Copy)
Debasish D.
Numerade Educator
Trouble 25
Prove that if a line bisects one side of a triangle and is parallel to a 2nd side, it bisects the third side.
Debasish D.
Numerade Educator
Problem 26
Given: $\stackrel{\leftrightarrow}{\mathrm{GK}} \| \stackrel{\leftrightarrow}{\mathrm{HJ}}$
lengths as shown
Notice: The perimeter of $\triangle \mathrm{H}$ ]F
(Effigy CANT Re-create)
Debasish D.
Numerade Educator
Problem 27
If two flagpoles are $x \mathrm{m}$ and $70 \mathrm{m}$ tall and are $100 \mathrm{thousand}$ apart, notice the height of the point where a line from the height of the commencement to the bottom of the second intersects a line from the bottom of the first to the summit of the 2nd.
Suman Saurav T.
Numerade Educator
Trouble 28
Bear witness that a line that divides two sides of a triangle proportionally is parallel to the third side.
Debasish D.
Numerade Educator
Problem 29
$\begin{aligned} \text { Given: } & \overrightarrow{\mathrm{RW}} \text { bisects } \bending \mathrm{SRT} \\ & \overrightarrow{\mathrm{Television set}} \text { bisects } \angle \mathrm{RTS} \terminate{aligned}$
$$
\brainstorm{assortment}{fifty}
\mathrm{RV}=4, \mathrm{SV}=5 \\
\mathrm{SW}=half-dozen, \mathrm{WT}=vii
\end{array}
$$
Evidence that the given data is impossible.
(Figure Deceit Copy)
Debasish D.
Numerade Educator
Problem 30
In the diagram, $\overline{\mathrm{BR}} \| \mathrm{y}$ -axis, $\overline{\mathrm{AR}} \| \mathrm{x}$ -axis, and signal $P$ divides $\overline{A B}$ in the ratio 2: three . Discover the coordinates of points $\mathrm{R}$ and $\mathrm{Q}$.
(FIGURE Cant Copy)
Debasish D.
Numerade Educator
Source: https://www.numerade.com/books/chapter/similar-polygons-4/?section=11508
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