Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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are these scalene triangles similar? u 35 s 45 t j 72 i 56 h yes no
yes
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select the correct answer. the slope of \\overleftrightarrow{fg} is 4. …
B. (3,7)
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planes x and y intersect at a right angle. \\(overleftrightarrow{ab}\\)…
- \( \boldsymbol{\overleftrightarrow{AB}} \) and \( \boldsymbol{\overleftrightarrow{CG}} \) are parallel. - \( \boldsymbol{\overleftrightarrow{CG}} \) and \( \boldsymbol{\overleft…
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type the correct answer in the box. use numerals instead of words. if n…
5
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identifying and naming geometric figures analyze the diagram to answer …
- Another way to name \(\angle SAC\) is \(\angle CAS\). - A point on ray \(AS\) is \(T\). - \(\overrightarrow{AR}\) and \(\overrightarrow{AB}\) create \(\angle RAB\).
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which rule explains why these triangles are similar? sss sas aa none of…
AA
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5. name the type of angles given for each of the following. 1) $\\angle…
Vertical angles ### 2)
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drag each expression to the correct location on the graph and equation.…
1. Horizontal leg of the triangle: $(x_2 - x_1)$ 2. Vertical leg of the triangle: $(y_2 - y_1)$ 3. Left blank in the equation: $(x_2 - x_1)^2$ 4. Right blank in the equation: $d^2…
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proving congruence (triangle congruence: asa, aas, and hl)\ homework\ \…
60. $\boldsymbol{\angle P \cong \angle Y}$ 61. $\boldsymbol{\angle L \cong \angle U}$ 62. $\boldsymbol{UK \cong LO}$ 63. SAS; $\boldsymbol{\triangle BCE \cong \triangle DCF}$ 64. …
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identifying and naming geometric figures analyze the diagram to answer …
$\angle CAS$ ### Second Question: A point on ray $AS$
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are these scalene triangles similar? yes no
yes
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4. name the type of angles shown. write and solve an equation to find t…
\(x = 16\) ### Right Diagram:
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which rule explains why these triangles are similar? sss sas aa none of…
AA
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are these triangles similar? r i 98° h 98° t 31° 37° s j yes no
no
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which rule explains why these scalene triangles are similar? (the image…
SAS
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3. dilate the quadrilateral. give the ordered pairs of the image. a(5, …
\(A':(27, 5.4)\), \(B':(-10.8, - 16.2)\) \(C':(-10.8, - 21.6)\), \(D':(27, - 21.6)\)
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which statements are true? select all that apply. the slope of \\(\\ove…
- The slope of $\overline{AB}$ is equal to the slope of $\overline{BD}$. - The slope of $\overline{AB}$ is equal to the slope of $\overline{AC}$. - The slope of $\overline{AB}$ is…
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ixl.com/math/grade-8/checkpoint-slope-and-linear-equations which statem…
The statement "The slope of \( \overline{AB} \) is equal to the slope of \( \overline{BD} \)" is false because \( m_{AB} = \frac{3}{7} \) and \( m_{BD} = 0 \), and \( \frac{3}{7} …
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are these triangles similar? j s 50 45 70 77 k u 30 39 i t yes no
yes
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are these triangles similar? h 35° g u 35° w 58° v 58° f yes no
yes
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are these triangles similar? g 32° h 57° i t 57° 32° v u yes no
yes
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are these triangles similar? h 57° f 33° g r q 57° 37° s yes no
yes
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are these triangles similar? options: yes, no
no
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are these triangles similar? options: yes, no
yes
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are these triangles similar? (there are two triangles in the image, one…
yes
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are these triangles similar? s 47° 34° r q w 25° 47° u v yes no
no
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match each prefix, root, or suffix to its meaning. state of being - cha…
To solve this prefix, root, or suffix - meaning matching problem, we analyze each item: ### For the suffix "ment" - Suffixes like "ment" are typically used to change a word to a n…
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are these triangles similar? options: yes, no
yes
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shade the area or areas of the venn diagram that represent $(a cup b)$.
Shade the region of the universal set $U$ that is outside both circle $A$ and circle $B$ (containing the numbers 2, 1, and 17).
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are these triangles similar? (there are two triangles, one with vertice…
yes
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are these triangles similar? j i 103° q 98° 46° r 46° p k yes no
no
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are these triangles similar? write a similarity statement. △□ ~ △□
yes $\triangle TSR \sim \triangle JIH$
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fghij ~ wvutx. find hi and ij.
$HI = 1$, $IJ = 2.5$
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shade the area or areas of the venn diagram that represent $(a \\cap b)…
Shade the following regions: 1. The non-overlapping part of circle A (containing 4, 11, 15) 2. The non-overlapping part of circle B (containing 7, 5) 3. The area inside the univer…
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kenji is baking a loaf of bread and 6 bagels. he has 21 teaspoons of se…
The graph with a closed circle at 0, a closed circle at 2, and the line segment between them shaded (the second graph among the given options).
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question 1-9 in △abc, m∠a = 90°. if cosb = 0.8, what is the value of si…
\( 0.8 \)
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a shelf is supported on a wall by a triangular bracket with the dimensi…
\( 42.5 \)
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question 1-6 in $\\triangle jkl$, $m\\angle l = 90^\\circ$. if $\\sin j…
\( 0.6 \)
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details no additional details were added for this assignment. the coord…
Quadrilateral DEFG is not a rhombus because there are no pairs of parallel sides
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calculator the coordinates of the vertices of △ xyz are x(-5, 5), y(-3,…
The slope of $\overline{XZ}$ is $\boldsymbol{-\frac{5}{9}}$, the slope of $\overline{YZ}$ is $\boldsymbol{\frac{2}{7}}$, and the slope of $\overline{XY}$ is $\boldsymbol{-\frac{7}…
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calculator the coordinates of the vertices of $\\triangle def$ are $d(-…
$\triangle DEF$ is not a right triangle because no two sides are perpendicular.
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multiple-choice question what is the most important part of crime scene…
Photography (the checkbox next to "Photography" should be selected)
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question 15(multiple choice worth 1 points) (06.04 lc) what is the cros…
Square (the option with "Square" as the text)
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6. match the tool to its description. used to draw straight lines or cu…
- Used to draw straight lines or curved paths: pen tool - Used to modify the type of anchor on a path: anchor point tool - Used to decrease the number of anchors on a path: Simpli…
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22. the volume of a pyramid varies jointly with its height and the area…
7 feet
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8. a figure on the coordinate plane is transformed to create a new figu…
- A reflection across the y - axis: Preserves Congruence - A rotation of \(180^{\circ}\) counterclockwise with the origin as the center of rotation: Preserves Congruence - A dilat…
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parallelogram pqrs is rotated $90^{\\circ}$ clockwise about the origin …
\((x, y)\to(y, -x)\) (the second option: \(\boldsymbol{(x,y)\to(y, -x)}\))
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6. point b at (2, 4) was rotated 90 degrees clockwise about the origin …
\((4, -2)\) (corresponding to the option with \((4, -2)\))
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5. the coordinate grid shows triangle abc. triangle abc is rotated 270 …
B. \((x,y)\to(y, -x)\) (assuming the second option is labeled B, if the original options have labels like A, B, C with the second being B as per the order: first option, second \(…
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4. which of the following produces the same algebraic rule as a rotatio…
B. A rotation 90 degrees clockwise about the origin
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2. point a at (-8, -10) was rotation 180 degrees counterclockwise about…
\((8, 10)\) (corresponding to the option with \((8, 10)\))
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1. triangle rst is rotated (270^circ) counterclockwise about the origin…
\((x,y)\to(y, -x)\) (the third option: \((x,y)\to(y, -x)\))
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find the distance between point i and point j. distance:
5
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the shaded triangle has an area of 18 in². find the area of the entire …
\( 36\ \text{in}^2 \)
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5. $m\\angle1 = \\underline{\\quad}$ $m\\angle2 = \\underline{\\quad}$ …
$m\angle1 = 47^\circ$ $m\angle2 = 137^\circ$ $m\angle3 = 31^\circ$
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question 7 (multiple choice worth 1 points) (07.03 lc) a circle is repr…
A. The circle is centered at \((-2, 4)\) and has a radius of 15.
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he is a diameter 4. ( moverarc{hg} ) ______, ( moverarc{feh} ) ______ d…
4. $m\overset{\frown}{HG}=67^\circ$, $m\overset{\frown}{FEH}=247^\circ$ 5. $m\overset{\frown}{EF}=70^\circ$, $m\overset{\frown}{CEA}=250^\circ$ 6. $\angle QPR=\frac{1205}{9}^\circ…
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6. $m\\angle1 = \\underline{\\quad\\quad}$ $m\\angle2 = \\underline{\\q…
$m\angle1 = 51^\circ$ $m\angle2 = 61^\circ$ $m\angle3 = 29^\circ$
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question 4(multiple choice worth 1 points) (06.04 mc) find the total su…
\( 60\pi \, \text{cm}^2 \) (corresponding to the option with \( 60\pi \, \text{cm}^2 \))
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given abcd is a trapezoid, (overline{ba} cong overline{cd}) prove: (ove…
The proof is assembled by showing \( \triangle BAD \cong \triangle CDA \) using SAS (with \( \overline{BA} \cong \overline{CD} \), \( \angle BAD \cong \angle CDA \), \( \overline{…
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central angles homework 1. identify and name each of the following from…
1. a. $\angle AOB$, $\angle BOE$ b. $\overset{\frown}{AB}$ c. $\overset{\frown}{ABE}$ d. $\overset{\frown}{BCD}$ e. $\overline{AB}$, $\overline{AE}$ f. $\angle AOD$ 2. $m\overset{…
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in the diagram, $\\triangle jkl \\cong \\triangle qrs$. find the value …
$x = 9$
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the triangle below is isosceles. find the length of side ( x ) in simpl…
\( 10\sqrt{2} \)
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in the diagram, $\\triangle jkl \\cong \\triangle qrs$. find $m\\angle …
$60^\circ$
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k is the midpoint of (overline{ij}) and (overline{hk} perp overline{ij}…
For statement 6, the reason is **SAS (Side-Angle-Side) Congruence Postulate** Final conclusion: $\boldsymbol{\angle J \cong \angle I}$ (by CPCTC, after proving $\triangle HIK \con…
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7. $bc$ bisects $\\angle acd$ find $m\\angle1 = \\underline{quad}$, $m\…
$m\angle 1 = 42^\circ$ $m\angle 2 = 45^\circ$ $m\angle 3 = 45^\circ$ $m\angle 4 = 52^\circ$
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after bisecting an angle measuring 44.4°, julia has two angles. what is…
$22.2^\circ$
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7. $overline{bc}$ bisects $angle acd$ $mangle1 = $ $mangle2 = $ $mangle…
$m\angle1 = 42^\circ$ $m\angle2 = 90^\circ$ $m\angle3 = 90^\circ$ $m\angle4 = 7^\circ$
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find the length of side ( x ) in simplest radical form with a rational …
\(\frac{9\sqrt{2}}{2}\)
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find the length of side ( x ) in simplest radical form with a rational …
\(4\sqrt{2}\)
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the graph of a linear system is shown. what is the solution to this lin…
(-3, 4)
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write the coordinates of the vertices after a rotation 180° clockwise a…
$F'(1, -9)$
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determine whether the triangle is a right triangle. circle to select yo…
The triangle is a right triangle.
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if (overline{ij} cong overline{jk}), (hi = z + 18), and (hk = 2z), what…
$36$
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decide if each of the triangles is a right triangle. the figures are no…
C. Triangle II only
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city planners want to design a park between parallel streets, main stre…
Angle between Main Street and west path: \(120^\circ\) Angle between west path and Willow Lane: \(60^\circ\)
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what is the value of t? p 5 s 5 r 3t q t+4
$t=2$
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which lengths could represent the side lengths of a right triangle? i. …
B. II only
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what is the meaning of the underlined word? deserts are arid places bec…
A land or climate having little or no rain (or being very dry) ### Sub - question 2: Circle the parts of speech of the word "alert"
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what is the length of the x - component of the vector shown below? a. 1…
D. 13.9
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find the length of \\(\\overline{st}\\) with coordinates s(-5,-2) and t…
\(6.3\)
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in the figure below, ( l_1 ) is parallel to ( l_2 ). complete the state…
s: - The measure of angle 8 is \(\boldsymbol{115}\) degrees. - The measure of angle 2 is \(\boldsymbol{65}\) degrees. - The sum of angles 6 and 7 is \(\boldsymbol{180}\) degrees. …
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what is the length of x in this 45-45-90 triangle? (1 point) ○ 4 ○ 4√3 …
\( 4\sqrt{2} \) (corresponding to the option with \( 4\sqrt{2} \))
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what transformation is always the same as rotating a figure 270 degrees…
rotating clockwise 90 degrees
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what is the length of y in this 45-45-90 triangle? (1 point) 4√2 8 8√2 4
B. 8 (assuming the option is "8" as one of the choices, likely the second option: "8")
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what transformation is always the same as rotating a figure 180 degrees…
reflecting over the origin
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identify the transformation shown on the coordinate plane. reflection r…
reflection
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identify the transformation shown on the coordinate plane. * rotation r…
rotation
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identify the transformation shown on the coordinate plane. * translatio…
reflection
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draw the angle in standard position and state the quadrant in which the…
The terminal side of the angle $-\frac{7\pi}{2}$ lies on the positive $y$-axis (or the $y$-axis). For the drawing, the correct diagram should have the terminal side along the posi…
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identify the transformation shown on the coordinate plane. (there are 2…
A. reflection B. rotation
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△tuv is a translation of △tuv. write the translation rule. $(x,y)\\maps…
$(x, y) \mapsto (x + 10, y + 10)$
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ice forms in rivers in very cold places. sometimes, ice breaks in inter…
○ rare
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identify the transformation shown on the coordinate plane. * reflection…
translation
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7 ft. 5 ft. what is the length of the missing leg? if necessary, round …
4.9 feet
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90 cm54 cmbwhat is the length of the missing leg? if necessary, round t…
72 centimeters
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probably think of hot places covered with sand. correct the dialogue. (…
"Only 20% of Earth's deserts are covered in sand," explained the teacher. ### Sub - question 2: Fix the sentence. Is it a fragment or a run - on?
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what is the length of the hypotenuse? if necessary, round to the neares…
85 kilometers
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36 m 48 m what is the length of the hypotenuse? if necessary, round to …
60 meters
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73 in. 55 in. b what is the length of the missing leg? if necessary, ro…
48 inches