Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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essential question: what is the relationship among the side lengths of …
1) $v=10\sqrt{3}$, $u=20$ 2) $a=10$, $b=10$ 3) $x=4\sqrt{2}$, $y=4$ 4) $x=10$, $y=5$ 5) $x=5\sqrt{3}$, $y=5$ 6) $u=6\sqrt{2}$, $v=6$
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write the coordinates of the vertices after a translation 4 units right…
The coordinates of the vertices after translation are \( D'(-2,-2) \), \( C'(-2,-8) \), \( E'(2,-6) \)
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write the coordinates of the vertices after a translation 4 units left.
The coordinates of the vertices after translation are \( S(-2,0) \), \( T(-2,8) \), \( U(6,9) \), \( V(6,6) \)
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next week is the first week of summer vacation. robert has his entire w…
s: 3. \(\boldsymbol{8.1}\) miles 4. \(\boldsymbol{8.5}\) miles 5. \(\boldsymbol{8.1}\) miles 6. \(\boldsymbol{12.1}\) miles
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9 which graph best represents the solution set for the system of inequa…
C
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8 which graph best represents the solution set for the system of inequa…
A. <The graph with a solid line $y=\frac{3}{2}x-1$, dashed line $y=-\frac{1}{2}x+3$, and shaded region above both lines>
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given ( l parallel m parallel n ), find the value of ( x ).
$126$
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the pythagorean theorem on a coordinate grid wade is designing a new mi…
\(\approx 5.83\) ### Problem 2: Distance between C and D
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given ( l parallel m parallel n ), find the value of ( x ). ((6x - 18)^…
\( x = 12 \)
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this figure shows $\\triangle abc$. $\\overline{bd}$ is the angle bisec…
$\frac{8}{3}$ units
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this figure shows $\\triangle xyz$. $\\overline{mz}$ is the angle bisec…
5.5 units
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view submission select parallel or not parallel for each set of given i…
1. For $AD=2, DB=4, CE=3, EB=6$: Parallel 2. For $AD=2, DB=3, CE=6, EB=9$: Parallel 3. For $AD=2, DB=5, CE=4, EB=7$: Not parallel
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what proportional segment lengths verify that \\(\\overline{qs} \\paral…
$\frac{9}{1.5} = \frac{12}{2}$
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in the diagram, $overleftrightarrow{bc} \\parallel overleftrightarrow{d…
15 m
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jake measured a hotel and made a scale drawing. the scale of the drawin…
24 inches
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introduction to circles patrick ignatius use the provided dimensions to…
A. 4.7 in
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multiple-choice question use the provided dimensions to find the diamet…
6.4 m
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triangle xyz is rotated 90° counterclockwise about the origin. what are…
\((1, 4)\)
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use the provided dimensions to find the radius. multiple choice questio…
D. 8 cm
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whats the radius of this circle? 5 mm 15.7 mm 2.5 mm 1.25 mm
B. 2.5 mm
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introduction to circles patrick iokimedes use the provided dimensions t…
A. The distance across a circle, through the center The numerical value of the diameter is 5 mm
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a negative slope indicates the line is. a slope of \\(\\frac{1}{5}\\) m…
decreasing (or going down from left to right) ### Second Question:
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the measure of how steep a line is called. the formula for slope is div…
slope ### Second Question:
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(9) find ( mangle f ) the figure is a parallelogram labeled with vertic…
$81^\circ$
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what lengths would allow you to calculate the volume of the oblique pyr…
A. AB and EF B. AC, CB, and EF D. AD, DB, and EF E. AD, DC, and EF
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solve the system of two linear inequalities graphically. \\(\\begin{cas…
The solution set is the region to the right of the dashed vertical line $x=-7$ and above (including the line) the solid horizontal line $y=7$. This overlapping area represents all…
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(b) the figure is a trapezoid with the top base labeled (6x + 1), the b…
$x=5$
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deriving a formula for volume of a pyramid the area of the base of the …
\(\frac{1}{6}(b)(b)(2h)\) (the second option)
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riving a formula for volume of a pyramid the area of the base of the cu…
- Height of each pyramid: \( \frac{b}{2} \) - Number of pyramids: 6 - Volume of one pyramid: \( \frac{b^3}{6} \)
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deriving a formula for volume of a pyramid the area of the base of the …
s (filling in the blanks): - The volume of the cube is \(\boldsymbol{(b)(b)(b)}\) (or \(b^3\)) cubic units. - The height of each pyramid: From \( b = 2h \), \( h=\boldsymbol{\frac…
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deriving a formula for volume of a pyramid the area of the base of the …
# Explanation: ## Step1: Base Area of Cube The base of the cube is a square with side length \( b \). The area of a square is side squared, so \( B = b \times b = (b)(b) \). ## St…
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8. rectangle prst has diagonals $ps = 6x + 3$ and $rt = 7x - 2$. find t…
C. 5
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six identical square pyramids can fill the same volume as a cube with t…
The height of each pyramid is \(\frac{1}{2}h\) units. (The option: The height of each pyramid is \(\frac{1}{2}h\) units.)
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find the distance between the points a and b given below. (that is, fin…
\(6.40\)
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find the distance between the points a and b given below. (that is, fin…
\(5.83\) units
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the base edge of an oblique square pyramid is represented as x cm. if t…
\( 3x^{2}\text{ cm}^3 \) (corresponding to the option " \( 3x^{2}\text{ cm}^3 \)")
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three oblique pyramids have the same regular square base. which one has…
The middle oblique pyramid (with the right triangle having legs 4 and 3, height 3) has a volume of 15 cubic units.
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8. rectangle prst has diagonals ps = 6x + 3 and rt = 7x - 2. find the v…
C. 5
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match equations and hangers 1. match each hanger to an equation. comple…
To solve this problem, we analyze each hanger: ### Hanger A: - Left side: 3 circles (let's assume each circle is a unit, or maybe a variable? Wait, looking at the right side, ther…
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2. given the parallelogram, find the missing angle measure: a. 70 b. 20…
D. 110
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1. given the parallelogram, find the missing angle measure: image of pa…
B. 135
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4. explain why this quadrilateral is not a parallelogram.
A parallelogram has both pairs of opposite sides parallel and equal in length. In this quadrilateral, the two pairs of opposite sides do not have equal lengths (verified by counti…
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a) -2, 7 b) -3, 6 c) 4, -1 d) 6, 10 e) -7, -3
d) [6, 10]
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find j. write your answer in simplest radical form. millimeters
\(8\)
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consider the right triangular prism given ac = 9 cm and ad = 10 cm. whi…
- The height of the prism is 10 cm. - $\triangle DFG$ is a base. - The appropriate unit of measure for the volume is cubic centimeters. - The area of the base is 45 square centime…
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question 3 (mandatory) (1 point) find the distance between the points (…
c) 10
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what is the slope of the line that passes through the points (0, -6) an…
The slope is undefined.
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what is the slope of the line that passes through the points (4, 8) and…
\(-\frac{1}{2}\)
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is polygon h a scaled copy of polygon g? are the side lengths scaled by…
Yes
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what is the slope of the line that passes through the points (6, 0) and…
\( -\frac{4}{3} \)
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is polygon f a scaled copy of polygon e? is polygon f a scaled copy of …
No
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for the figure below, do a dilation centered at the origin with a scale…
Original endpoints: \((3, 5)\) and \((7, 5)\); Final (dilated) endpoints: \((9, 15)\) and \((21, 15)\)
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draw the reflection of the quadrilateral across the y - axis.
The reflected quadrilateral has vertices at \((-1,2)\), \((-6,1)\), \((-7,6)\), \((-2,7)\) (and is drawn by plotting these points and connecting them).
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which compound inequality is represented by the graph? (graph: a number…
A. \( x < -4 \) or \( x \geq 3 \)
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question solve for all possible values of x. \\(\\sqrt{44 - 5x} = x - 6…
\(x = 8\)
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question solve for all possible values of x. \\(\\sqrt{6 - x} = x - 6\\…
$x = 6$
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which graph correctly represents the relationship between arc length an…
A. (The linear graph starting at the origin, reaching $2\pi r$ when the central angle is $\pi$ radians)
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9. zaid wants to hang the pennant shown vertically between two windows …
The pennant will not fit because the height of the pennant (the side opposite the \(30^{\circ}\) angle in the right - triangle) is \(20.5\) inches, which is greater than the 19 - …
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type the correct answer in each box. use numerals instead of words. con…
18.75, 4.78, 35.34
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select the correct answer. what is the equation of the parabola opening…
D. $f(x) = \frac{1}{32}(x - 9)^2 + 19$
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when circle p is plotted on a coordinate plane, the equation of the dia…
C. The slope of the tangent line is $-\frac{1}{4}$.
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which equation represents a circle with a center at (-5,5) and a radius…
C. $(x + 5)^2 + (y - 5)^2 = 9$
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8. if rs = 40, st = 41, and rt = 11, is △rst a right triangle? explain.
\(\triangle RST\) is not a right triangle because for the side lengths \(RS = 40\), \(ST=41\), and \(RT = 11\), none of the combinations of the sum of the squares of two sides equ…
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7. if rs = 35, st = 37, and rt = 71, is △rst a right triangle? explain.…
No, \(\triangle RST\) is not a right triangle because \(35^2 + 37^2 = 2594\) and \(71^2 = 5041\), and \(2594 eq5041\), so the Pythagorean theorem does not hold.
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which equation represents a circle with a center at (-5,5) and a radius…
C. $(x + 5)^2 + (y - 5)^2 = 9$
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select the correct answer. arc cd located on circle a has a central ang…
B. $18\pi$ cm
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casey constructed this figure by using a compass and a straightedge to …
E. She used a compass centered at Q with a radius set equal to PQ.
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select the correct answer from each drop-down menu. consider the circle…
1. Correct equation: (PT)(TR) = (ST)(TQ) 2. Value of \(a\): 6
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6. if rs = 20, st = 21, and rt = 29, is △rst a right triangle? explain.…
Yes, \(\triangle RST\) is a right triangle. Because \(RS^{2}+ST^{2}=20^{2}+21^{2}=400 + 441 = 841\) and \(RT^{2}=29^{2}=841\), so \(RS^{2}+ST^{2}=RT^{2}\), which satisfies the Pyt…
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consider the circle with chords pr and qs intersecting at point t. desc…
1. $PT \times TR = QT \times TS$ 2. $6$ 3. PQ and RS
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5. find the value of x. enter your answer.
$9\sqrt{3}$ (or approximately $15.6$)
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triangle abc is inscribed in a circle centered at point o. order the me…
$m\overset{\frown}{AB} < m\overset{\frown}{BC} < m\overset{\frown}{AC}$
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which point lies on the circle represented by the equation ((x - 3)^2 +…
A. (9,-2)
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4. find the value of x. enter your answer.
\(3.2\sqrt{2}\) (or approximately \(4.53\))
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dylan constructed this figure using a compass with its width set equal …
A. Dylan's reasoning about arc AB is correct, and the hexagon is regular.
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drag each tile to the correct box. the given steps for constructing a l…
D → C → E → A → B
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type the correct answer in each box. use numerals instead of words. if …
$m\angle ACB = 32$ and $m\overset{\frown}{AC} = 146$
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what is the difference of the lengths of \\(\\overarc{bd}\\) and \\(\\o…
B. 1.57 units
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given the information marked on the figures below, classify each quadri…
s: - Top - Left: Parallelogram - Top - Right: Parallelogram - Bottom - Left: Parallelogram - Bottom - Right: Parallelogram (Note: If the top - left figure’s markings were misinter…
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mel is teaching travis how to use a compass and a straightedge to const…
B. Chord WX must be a diameter of the circle.
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select the correct answer from each drop - down menu. a parabola is giv…
1. The equation of the directrix of the parabola is $x=6$ 2. The focus of the parabola is $(-6, 0)$
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the figure below was made with a scale of 1 unit = 8 cm. draw the figur…
Draw a 4-unit by 4-unit rectangle on the right (new scale) grid.
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vance wants to construct a circle tangent to all three sides of the acu…
C. Vance should have found the intersection of two angle bisectors of triangle LMN instead of two altitudes.
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what is the ratio of the area of sector abc to the area of sector dbe? …
E. $\frac{1}{4}$
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quadrilateral abcd is inscribed in a circle. m∠a is 64°, m∠b is (5x + 4…
D. $98^\circ$
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type the correct answer in each box. the general form of the equation o…
Standard form: $(x + 4)^2 + (y + 11)^2 = 100$ Center: $(-4, -11)$
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select the correct answer. given the focus (-1, 15) and the directrix x…
A. $x = \frac{1}{6}(y - 15)^2 - \frac{5}{2}$
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select the correct answer. circle c has a center at (-2,10) and contain…
D. $(x + 2)^2 + (y - 10)^2 = 169$
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g the tiles to the boxes to form correct pairs. not all tiles will be u…
1. $\angle COB \longleftrightarrow 114^\circ$ 2. $\angle EOB \longleftrightarrow 124^\circ$ 3. $\overset{\frown}{CE} \longleftrightarrow 122^\circ$ 4. $\angle DFA \longleftrightar…
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the figure below was made with a scale of 1 unit = 2 m. draw the figure…
Draw a rectangle with a width of 2 grid units and a height of 3 grid units on the right "New scale" grid.
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what is the lines slope?
1
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you read an article by john jones, a professional photographer, titled …
For a picture-perfect selfie, make sure to have proper lighting, choose your best angle, and utilize a high-resolution camera (Jones 14)
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the solution to an inequality is given in interval notation as (2, ∞). …
The fourth option: <arrow starting at open circle on 2, pointing right to 5 and beyond, with number line marked -5 to 5>
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Question was provided via image upload.
1. 14 square inches 2. 20 square feet 3. 22 square centimeters 4. 44 square yards 5. 40 square meters 6. 22 square inches
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if $sw = p - 16$ and $tv = -p + 52$, what is the value of $p$? $p = \\s…
$p = 40$
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y = \\frac{3}{2}x + 8 click to select points on the graph.
Plot the points $(0, 8)$, $(2, 11)$, and $(-2, 5)$, then draw a straight line through them to graph $y=\frac{3}{2}x + 8$.
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the movement of the progress bar may be uneven because questions can be…
6
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find vw. write your answer as an integer or as a decimal rounded to the…
$3.0$
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find bc. write your answer as an integer or as a decimal rounded to the…
$5.1$
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find st. write your answer as an integer or as a decimal rounded to the…
$3.0$