Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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in circle v, angle wxz measures 30°. line segments wv, xv, zv, and yv a…
$120^\circ$
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quadrilateral qrst is a rectangle, qs = 3z, and rt = z + 92. what is qs?
\( 138 \)
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quadrilateral stuv is a rectangle, su = 2y, and tv = y + 87. what is th…
\( y = 87 \)
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a flat screen television is advertised as being 43 inches on its diagon…
38.6
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find the perimeter and area of the trapezoid shown below. round your an…
The perimeter is \(60.8\) feet. The area is \(212.94\) square feet.
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which angle number represents an angle adjacent to $\\angle rxu$? answe…
3
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which statement about a dilation with a scale factor of 3 is true? thre…
Each side in the pre-image is multiplied by three to find the corresponding side length in the image.
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1 what is the best estimate of the area of the figure below? 4 in 6 in
The best estimate of the area is approximately $\boldsymbol{38}$ square inches (or $\boldsymbol{24 + 4.5\pi}$ square inches for the exact value).
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draw in all lines of symmetry in the shape below. if there are no lines…
The figure has two lines of symmetry: one vertical line passing through the center (connecting the top and bottom vertices of the vertical - aligned shapes) and one horizontal lin…
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question draw in all lines of symmetry in the shape below. if there are…
The figure has 4 lines of symmetry. To draw them, for the vertical line, click at the top - most and bottom - most points of the figure; for the horizontal line, click at the left…
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drag the tiles to the correct boxes to complete the pairs. in the figur…
$\angle 3, \angle 7, \angle 6 ightarrow$ angles congruent to $\angle 2$ $\angle 3, \angle 7, \angle 2 ightarrow$ angles congruent to $\angle 6$ $\angle 4, \angle 8, \angle 5 ighta…
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oint - slope formula to write an equation of the line that passes throu…
$y=\frac{9}{7}x-\frac{1}{7}$
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lines of symmetry score: 2/5 penalty: 1 off question draw in all lines …
The shape has two lines of symmetry: one vertical and one horizontal, each passing through the center of the cross - shaped figure. To draw them, for the vertical line, click two …
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use the drop - down menus to explain how to determine the angle measure…
A triangle similar to DEF will have an angle that measures $\boldsymbol{70}$ degrees, an angle that measures $\boldsymbol{45}$ degrees, and an angle that measures $\boldsymbol{65}…
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in the figure below, $\\triangle fgh$ is drawn. the line $\\overleftrig…
\( x = 100 \)
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question 2 (multiple choice worth 1 points) (06.01 lc) the volume of a …
27 cubic feet (corresponding to the option "27 cubic feet")
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4 m, 2 m, b. what is the length of the missing leg? if necessary, round…
3.5 meters
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contrasting parallel and perpendicular lines the definition of parallel…
A. Parallel lines do not intersect. B. Parallel lines must be coplanar. C. Perpendicular lines intersect at one point. D. Perpendicular lines intersect so plane is not required in…
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write the coordinates of the vertices after a dilation with a scale fac…
$D'(8, -4)$, $E'(10, 4)$, $F'(-8, 6)$
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the blue figure is a dilation of the red figure. identify the type of d…
The dilation is an enlargement The scale factor is $2$
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what is the volume of this cylinder? round your answer to the nearest h…
862.05 cubic inches
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bee and butterfly: tale of two cousins lucy foster madison \good-bye, d…
C. The wind laughed a gleeful accompaniment to the merry maidens who ran gaily down the path o'ershadowed by the trees
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what is the image of the point $(-7, 9)$ after a rotation of $90^circ$ …
$(-9, -7)$
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draw the following quadrilateral after a translation 2 units to the lef…
The translated quadrilateral has vertices at $(-1, 1)$, $(2, -1)$, $(-1, -7)$, and $(-4, -6)$. When these points are connected in sequence, they form the translated figure.
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the figure below is rotated 180° clockwise. what are the coordinates of…
\((9, 8)\)
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segment be is the altitude of parallelogram abcd. be is approximately 1…
193 square units
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list the angle measures of $\\triangle ijk$ in order from smallest to l…
$m\angle I < m\angle K < m\angle J$
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figure b is a scaled copy of figure a. what is the scale factor from fi…
0.25
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select the correct answer from each drop - down menu. in a circle with …
The radian measure is 0.57, and the sector area is 14 square feet.
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are these triangles similar? yes no
yes
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which figure best demonstrates the setup for the box method of finding …
Second figure (the one with the axis-aligned dashed rectangle enclosing the triangle)
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which statement is true of the right triangles abc and def? area of abc…
Area of ABC is greater than area of DEF.
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activity 1 - area of composite figures question #4 - determine the area…
What is the area of the shaded right triangle? 8 sq. in. What is the area of the shaded trapezoid? 10 sq. in. What is the area of the shaded region? 18 sq. in.
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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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what is the volume of this cone? round your answer to the nearest hundr…
130.90 cubic meters
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use the interactive protractor to determine the measure of the angle. w…
D. \( 115^\circ \)
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drag statements and reasons to each row to show why the slope of the li…
To show the slopes are equal: 1. For segment \(RS\): By "Definition of slope", the slope is \(\frac{5}{3}=\text{slope}\) (since rise = 5, run = 3). 2. For segments \(RS\) and \(ST…
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solve for ( x ). round to the nearest tenth, if necessary. (there is a …
$x=22.9$
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what is ( mangle 1 )?( mangle 1 = square^circ )
\(45\)
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express \\(cos x\\) as a fraction in simplest terms.
$\frac{3}{5}$
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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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the mounting bracket shown was purchased at a hardware store. find the …
$\frac{11}{30}$
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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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two parallel lines are cut by a transversal as shown below. suppose ( m…
$m\angle5 = 36^\circ$ $m\angle7 = 144^\circ$
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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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Question was provided via image upload.
$m\angle1 = 30^\circ$ $m\angle2 = 41^\circ$ $m\angle3 = 96^\circ$
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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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question 3 (multiple choice worth 1 points) (07.03 mc) a ferris wheel c…
5.89 feet
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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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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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question 1 (multiple choice worth 1 points) (06.04 mc) if a triangular …
A. Cone
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find the length of side ( x ) in simplest radical form with a rational …
\(2\sqrt{2}\)
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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