Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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fill in the blank 2 points. lin and diego walk to the park together aft…
1272.6 yards
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use the law of sines to solve the following non - right triangles. roun…
### Problem 1: $A = 83^{\circ}$, $a\approx26.7$, $b\approx21.1$ ### Problem 2: $A\approx47.9^{\circ}$, $B\approx22.1^{\circ}$, $a\approx19.7$ ### Problem 3: $B = 66^{\circ}$, $a\a…
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exit ticket draw the rotation of figure abc 90° clockwise. draw the rot…
Draw the rotated triangle ABC using the 90 - degree clockwise rotation rule and draw the rotated triangle TUV using the 180 - degree counter - clockwise rotation rule on the provi…
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what is the measure of this angle? m∠abc = ?°
180
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what is the measure of this angle? m∠abc = ?°
$250$
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what is the measure of this angle? m∠abc = ?°
$70$
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what is the measure of this angle? m∠abc = ?°
160
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what is the measure of this angle? m∠abc = ?°
70
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7. use structure use your knowledge of sketching cubic and quartic poly…
### 7. # Explanation: ## Step1: Find the roots The roots of the function $f(x)=x^{3}(x - 2)^{2}(x + 2)$ are found by setting $f(x)=0$. So $x=0$ (with multiplicity 3), $x = 2$ (wit…
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the given diagram shows the parts of a right triangle with an altitude …
$s_1 = 8$, $h = 32$, $u_2=16\sqrt{3}$, $a = 8\sqrt{3}$
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3-2 angles formed by parallel lines and transversals find each angle me…
Question 9: $x = 45$ Question 10: $x = 2$ Question 11: $x = 2$ Question 12: $a\parallel b$ because $m\angle8=m\angle6 = 59^{\circ}$ Question 14: $a\parallel b$ because $m\angle8 +…
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kiran and mai are standing at one corner of a rectangular field of gras…
neither of them
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26. analyze and persevere are the steepest parts of the two water slide…
No, the steepest parts of the two water - slides are not parallel because their slopes are not equal.
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16) solve for x. (3x² + 9)° (10x + 22)°
$x=\frac{-5 + 2\sqrt{118}}{3}$ or $x=\frac{-5 - 2\sqrt{118}}{3}$
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2.4.4 quiz: parabolas with vertices not at the origin the vertex of thi…
B. \(x = 2(y + 4)^2+2\)
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2.4.4 quiz: parabolas with vertices not at the origin question 7 of 10 …
D. \(y = a(x - h)^2+v\)
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2.4.4 quiz: parabolas with vertices not at the origin. the vertex of th…
D. 7
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2.4.4 quiz: parabolas with vertices not at the origin the vertex of thi…
B. -3
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58. how many lines of symmetry does the symbol shown have? a. 1 b. 2 c.…
D. 4
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3. what is the equation of a line through the center of $x^{2}+y^{2}+4x…
3. $9x-5y=-12$ 4. $y = 4x-4$
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derive the equation of a parabola with a focus at (3,3) and a directrix…
$y=\frac{1}{4}(x - 3)^2+2$
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rewrite the equation of the circle $x^{2}+y^{2}+4x - 6y - 3 = 0$ into s…
$(x+2)^{2}+(y - 3)^{2}=16$
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what is the equation of the circle with a center at (-5, -4) and a diam…
$(x + 5)^2+(y + 4)^2=25$
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details no additional details were added for this assignment. what is t…
$(x+7)^2+(y + 5)^2=4$
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convert the angle in degrees to radians by multiplying it to $\frac{pi}…
$A=\frac{1}{2}(12)^{2}(\frac{\pi}{6})$; $A = 12\pi$ in.$^{2}$
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details no additional details were added for this assignment. question …
$10\pi$
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what is the area of a sectors with a radius of 12 cm and a central angl…
$90\pi$
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what should the next step be to construct an equilateral triangle inscr…
Draw an arc \(BC\) that starts and ends on the circle, centered at \(P\).
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no additional details were added for this assignment. what should the n…
Use the Circle with Center through Point tool to draw another circle tangent to circle A at B.
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details no additional details were added for this assignment. to be mos…
Draw another diameter perpendicular to $\overline{AD}$.
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which statements are true? choose three correct answers. rotations pres…
- Rotations preserve the size, length, shape, and angle measures of the figure. - Line segments connecting the center of rotation to a point on the pre - image and the correspondi…
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now, try this problem. derive the equation of a circle with a center at…
\((x - 6)^2+(y + 8)^2=64\)
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writing a rule for a rotation after a rotation a(-3, 4) maps to a(4, 3)…
$R_{0,270^{\circ}}$
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writing a rule for a rotation triangle abc was rotated about the origin…
$R_{0,180^{\circ}}$
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identifying the rotations examine the rotation. which best describes po…
center of rotation
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use the image to answer the question. what inequality is depicted in th…
$x < - 5$
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read each question carefully. circle the letter or the number of the co…
1. c. He wanted to understand why the students came late. 2. a. On time b. From dictionary or common usage c. 3. a scheduled time for something.
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read each question carefully. circle the letter or the number of the co…
1. (No context given for this question in the reference text to determine a correct answer from a, b, c) 2. a. On - time b. Based on dictionary definition c. 3. a scheduled time f…
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deltamath 8 - 28 | proving triangles congruent 100% credit until octobe…
The two triangles are congruent by the ASA (Angle - Side - Angle) congruence criterion.
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what is the slope of the line passing through the points (-3, 4) and (2…
A. $-1$
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what is the slope of the line on the graph? enter your answer in the bo…
4
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which statements best explain why the slope of a line remains constant?…
B. Any segment between two points on a line forms the hypotenuse of a right triangle, with rise and run as the legs. D. The ratio of rise to run remains the same for all right tri…
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what is the slope of the line? enter your answer, in simplest form, in …
\(\frac{3}{4}\)
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the diagram shows a triangle. what is the value of z?
68
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the diagram shows a triangle. what is the value of s? s =
$4$
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the diagram shows a triangle. what is the value of x? x =
68
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the diagram shows a triangle. what is the value of x? x =
9
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the diagram shows a triangle. what is the value of a?
31°
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the diagram shows a triangle. what is the value of w?
5
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the diagram shows a triangle. what is the value of c?
$2$
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the diagram shows a triangle. what is the value of z? z =
2
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the diagram shows a triangle. what is the value of w?
33°
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the diagram shows a triangle. what is the value of x?
\(26\)
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fill in the blank question. a geometric viral form having 20 faces and …
icosahedron
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the diagram shows a triangle. what is the value of a?
30
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the diagram shows a triangle. what is the value of a?
37
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rectangle abcd has vertices a(-6, -2), b(-3, -2), c(-3, -6), and d(-6, …
$T_{-4,3}(x,y)$
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the diagram shows a triangle. what is the value of s? s =
39
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a rectangle on a coordinate plane is translated 5 units up and 3 units …
\((x,y)\to(x - 3,y + 5)\)
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hexagon defghi is translated 8 units down and 3 units to the right. if …
C. $(-6, -6)$
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triangle abc is translated according to the rule (x, y)→(x + 2, y - 8).…
B. $(3,-13)$ (Note: There seems to be a typo in the original problem - the correct answer based on the rule and pre - image coordinates should be $(3,-13)$ but it's not among the …
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rectangle efgh is translated according to the rule $t_{ - 5,9}(x,y)$. i…
$(-7,6)$
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a triangle on a coordinate plane is translated according to the rule t_…
$(x,y)\to(x - 8,y + 4)$
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the rule as a mapping for the translation of a rectangle is (x, y) → (x…
a translation of 2 units to the left and 7 units up
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square abcd was translated using the rule (x, y) → (x - 4, y + 15) to f…
\((13,-23)\)
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analyzing a translation li transformed rectangle abcd. the image is sho…
No, the image does not have the same orientation.
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a graphic designer wants to translate rectangle defg using (t_{-1,2}(x,…
The new - image has coordinates $D'(-2,5),E'(3,5),F'(3,3),G'(-2,3)$.
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writing a rule for a translation randy draws triangle abc on the coordi…
$T_{-2,5}(x,y)$
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translations describing rules for the translation a triangle is drawn o…
\((x,y)\to(x + 4,y-3)\)
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graph $overline{xy}$ with endpoints $x(-3,1)$ and $y(4,-5)$ and its ima…
The new endpoints are $X''(-1,3)$ and $Y''(5,-4)$. The coordinate rule is $(x,y)\to(-y,-x)$.
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describe the rotation as a (a) counterclockwise rotation and (b) clockw…
$(x,y)\to(y, - x)$
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describe the rotation as a (a) counterclockwise rotation and (b) clockw…
a. 90 degrees b. 270 degrees \((x,y)\to(-y,x)\)
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graph the polygon with the vertices d(-3, -1), e(-1,2), f(4, -2) and it…
The vertices of the rotated polygon are $D'(3,1),E'(1,-2),F'(-4,2)$.
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graph the polygon with the vertices a(-3,2), b(2,4), c(3,1) and its ima…
The vertices of the rotated polygon are $A'(-2,-3)$, $B'(-4,2)$ and $C'(-1,3)$.
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graph △rst with vertices r(4, 1), s(7, 3), and t(6, 4) and its image af…
The original triangle $\triangle RST$ has vertices $R(4,1)$, $S(7,3)$, $T(6,4)$. Its image after the glide - reflection has vertices $R''(-4,0)$, $S''(-7,2)$, $T''(-6,3)$
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graph the polygon with the given vertices and its image after a reflect…
The vertices of the image are $A'(3,2),B'(0,2),C'(-1,0)$
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graph the polygon with the given vertices and its image after a reflect…
The original polygon has vertices A$(0,-3)$, B$(2,2)$, C$(5,0)$. The reflected polygon in the line $y = x$ has vertices A'$(-3,0)$, B'$(2,2)$, C'$(0,5)$.
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graph the polygon with the given vertices and its image after a reflect…
The vertices of the original polygon are $J(3,-5),K(4,-1),L(0,-3)$ and the vertices of the reflected polygon are $J'(3,-1),K'(4,-5),L'(0,-3)$.
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graph the polygon with the given vertices and its image after a reflect…
The original polygon has vertices $J(3,-5)$, $K(4,-1)$, $L(0,-3)$. The reflected polygon over the line $y=-3$ has vertices $J'(3,-1)$, $K'(4,-5)$, $L'(0,-3)$. Graph both polygons …
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graph the polygon with the given vertices and its image after a reflect…
The vertices of the original polygon are $J(1,-1)$, $K(3,0)$, $L(0,-4)$. The vertices of the image after reflection over the line $x = 2$ are $J'(3,-1)$, $K'(1,0)$, $L'(4,-4)$. To…
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consider the figures graphed below. complete each congruence statement …
a. $DEFG\cong JKLM$, by translating $DEFG$ down 2 units and right 2 units. b. $\triangle ABC\cong\triangle UTS$, by reflecting $\triangle ABC$ across the $y$ - axis. c. $\triangle…
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8. spicy consider the pre - image δrst with vertices at r(-5,2), s(4,0)…
**For the first triangle pair ($\triangle RST$ and $\triangle MNO$):** Part A: C. Reflection in the line $y = 1$. Part B: A. $\angle T\cong\angle O$, B. $\angle N\cong\angle R$, D…
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5. medium lesson 4.4 practice exercise #5 use the item bank below. dete…
yes, a translation 4 units right ### 6.
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5. medium lesson 4.4 practice exercise #5 use the item bank below. dete…
yes, a translation 4 units right ### 6.
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what is the rule for the reflection? $r_{y = x}(x,y)\to(y,x)$ $r_{y=-x}…
$r_{y = -x}(x,y)\to(-y,-x)$
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describe a congruence transformation that maps △abc onto △efg. complete…
1. $\triangle ABC$ rotates $180^{\circ}$ about the origin, followed by a translation $1$ unit down. 2. $\square PQRS$ reflects in the $y$ - axis, followed by a reflection in the $…
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a garden is shown below. each inch represents 1 foot. what is the area …
228 square feet
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a line segment has endpoints at (-4,-6) and (-6,4). which reflection wi…
A reflection of the line segment across the y - axis
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a line segment is drawn on a coordinate plane with the endpoints m(5, 9…
Length of $\overline{MP}$: 20 Length of $\overline{QP}$: 10 Coordinates of point $Q$: $(-1,1)$
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a line segment is drawn on a coordinate plane with the endpoints r(-4, …
Length of $\overline{RS}$: $10$ Length of $\overline{ST}$: $5$ Coordinates of point $T$: $(0,1)$
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a point has the coordinates (0, k), where k ≠ 0. which reflection of th…
a reflection of the point across the \(y\) - axis
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the image of △abc after a reflection across eg is △abc. which statement…
F is the midpoint of $\overline{AA'}$ because $\overleftrightarrow{EG}$ bisects $\overline{AA'}$.
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find the m∠puw if (overrightarrow{up}) is the angle bisector of ∠wuv an…
$x = 5$ $m\angle P UW=21$ degrees
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image of trapezoid pqrs after a reflection across wy is trapezoid pqrs.…
$\overline{RR'}\parallel\overline{SS'}$
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∠3 and ∠4 are supplementary angles. m∠3 = 6x + 1 and m∠4 = 2x + 19. dra…
$x = 20$ $m\angle3=121^{\circ}$ $m\angle4=59^{\circ}$
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∠5 and ∠6 are complementary angles. m∠5 = 4x + 3 and m∠6 = 3x + 3. draw…
$x = 12$ $m\angle5 = 51^{\circ}$ $m\angle6 = 39^{\circ}$
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the image of △abc after a reflection across eg is △abc. which triangle …
$\triangle BGC$ is right because $\overleftrightarrow{EG}\perp\overline{CC'}$.
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finding a pre - image using a rule the image of a point is given by the…
B. $(-9,4)$
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point p is in the interior of ∠tus. if m∠tup = 2x - 41, m∠tus = 146°, a…
$x = 35$ $m\angle TUP=29^{\circ}$
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reflecting a triangle consider reflections of △jkl. what line of reflec…
The line of reflection that maps point K to point K' is the y - axis. For point L to point L', among the given options, there seems to be an issue with the problem setup as the tr…