Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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which rule explains why these scalene triangles are similar? sss sas aa…
SAS
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solve the inequality. graph the solution. -2d ≥ 26 the solution is
\(d\leq - 13\) To graph the solution: - Place a closed circle at \(-13\) (because the inequality is \(\leq\), so \(-13\) is included in the solution set). - Shade to the left of \…
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mc5d2025 - 1206310 geometria q1 lineas cortadas por una transversal ¿cu…
\(b = 128\)
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4) write a similarity statement. △□□∼△□□
none of the above, the triangles cannot be proven similar
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hexagon l is a scaled copy of hexagon k. what is the value of j?
\(3.3\)
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mcsd2025 - 1206310 geometria q1 líneas cortadas por una transversal dos…
\(h = 120\)
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question the figure below is translated down 4 units. what are the coor…
The coordinates of the image of point T are \((-6,0)\)
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mcsd2025 - 1206310 geometria q1 lineas cortadas por una transversal dos…
\(y = 130\)
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mcsd2025 - 1206310 geometria q1 lineas cortadas por una transversal las…
\(m\angle6 = 126^{\circ}\)
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polygon q is a scaled copy of polygon p. what is the value of r?
\(2\)
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triangle c is a scaled copy of triangle b. what is the value of a?
\(40\)
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mcsd2025 - 1206310 geometría q1 líneas cortadas por una transversal dos…
\(x = 22\)
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quadrilateral c is a scaled copy of quadrilateral b. what is the value …
\(4\frac{2}{5}\)
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hexagon b is a scaled copy of hexagon a. what is the value of c?
\(130\)
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which rule explains why these triangles are similar? sss sas aa none of…
none of the above; the triangles cannot be proven similar
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triangle m is a scaled copy of triangle l what is the value of a?
\(120\)
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none of the above; the triangles cannot be proven similar
none of the above; the triangles cannot be proven similar
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quadrilateral u is a scaled copy of quadrilateral t. what is the value …
\(115\)
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are these scalene triangles similar? write a similarity statement.
For the first question: yes For the similarity statement: \(\triangle STU\sim\triangle HIJ\)
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are these scalene triangles similar? yes no
yes
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which rule explains why these triangles are similar? sss sas aa none of…
none of the above; the triangles cannot be proven similar
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5. suppose the equation of line $ell$ is $x = 1$. given points $m(3,3)$…
The reflection of \(M(3,3)\) is \(M'(-1,3)\), the reflection of \(N(4,4)\) is \(N'(-2,4)\) and the reflection of \(O(5,2)\) is \(O'(-3,2)\). Graph \(\triangle MNO\) with vertices …
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show the reflection of \\( \\triangle abc \\) across line \\( \\ell \\).
The reflected triangle \(\triangle A'B'C'\) is obtained by reflecting each vertex of \(\triangle ABC\) across the line \(\ell\) and then connecting the reflected vertices.
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reflections tell whether the transformation appears to be a rigid motio…
1. Yes, it appears to be a rigid motion because the pre - image and image are congruent. 2. Yes, it appears to be a rigid motion because the pre - image and image are congruent.
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4. esteban said ( r_{n}(abc)\to(abc) ), where the equation of line ( n …
Esteban's error was that the line of reflection is \(y = 4\) (not \(x = 4\)).
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3. complete the rule for the reflection of quadrilateral abcd across li…
\(r_m(ABCD)\to A'B'C'D'\)
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2. which is the line of reflection for each pair of figures?
For the first pair of figures, the line of reflection is \(a\). For the second pair of figures, the line of reflection is \(a\).
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10 abd and abc are right - angled triangles. find the length of cd give…
\(10.0\mathrm{cm}\)
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1. tell whether each transformation is a rigid motion or is not a rigid…
The first transformation is a rigid motion. The second transformation is not a rigid motion.
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are these triangles similar?
no
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are these triangles similar? write a similarity statement.
yes; \(\triangle RTS\sim\triangle FEG\)
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sss sas aa none of the above; the triangles cannot be proven similar wr…
\(\triangle G F\sim\triangle T U\)
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write a similarity statement. △ ~ △
none of the above; the triangles cannot be proven similar
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a 4 m by 4 m square is cut out of a right triangle whose base is 16 m l…
60 meters squared
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what is the perimeter of the hexagon? 10 ft 10 ft 7 ft 7 ft 10 ft 10 ft…
54
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what is the area of the triangle? 5 ft 12 ft 5 12 30 15
30
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19. the quotient is the answer to a(n) ________ problem. 20. write the …
19. division 20. \(A = l\times w\) (where \(A\) is the area, \(l\) is the length, and \(w\) is the width)
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statements reasons given: ec bisects <hgf prove: △hgc ≅ △fgc
\( \triangle HGC\cong\triangle FGC \) (by SAS congruence criterion)
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statements reasons given: eg bisects ∠hgf prove: △hge ≅ △fge
\(\triangle HGE\cong\triangle FGE\) (by SAS congruence criterion)
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statements reasons given: ec bisects ∠hgf prove: △hge ≅ △fge
\( \triangle HGE\cong\triangle FGE \) by the SAS (Side - Angle - Side) congruence criterion.
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hallar el área de este cuadrado. 9 ft
El área del cuadrado es \(81\) pies cuadrados.
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hallar el área de este rectángulo.
El área del rectángulo es de \( 78 \, m^2 \).
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geo h hw on proving as b duelin by sss or sas. justinc given: b mopt ad…
| Statements | Reasons | |--|--| | $B$ is the midpoint of $\overline{AO}$ | Given | | $\overline{AB}\cong\overline{OB}$ | Definition of midpoint | | $\angle EBA\cong\angle CBO$ | …
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which answers are examples of the law of detachment? select each correc…
Jonathan’s cars are all white. Sarah is driving one of Jonathan’s cars. Therefore, Sarah is driving a white car. If two angles are vertical angles, then they have the same measure…
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2. triangle lmn with vertices l(6,6), m(8,8), and n(8,3): a) reflection…
\(L'(4,6)\), \(M'(2,8)\), \(N'(2,3)\)
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calcula el perímetro del rectángulo. incluye la unidad. 19 in 29 in
96 in
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calcula el perímetro del cuadrado. incluye la unidad. 21 ft
84 ft
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use the law of syllogism to form a conclusion from the given premises. …
If a polygon was translated to the right, then a rigid transformation was performed.
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directions: graph and label each figure and its image under the sequenc…
\(D'(-4,-1)\), \(E'(-8,-5)\), \(F'(-6,-7)\), \(G'(-2,-3)\)
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clasificar los cuatro ángulos del cuadrilátero.
# Explicación: ## Paso 1: Definir tipos de ángulos Un ángulo recto mide \(90^{\circ}\), un ángulo agudo mide entre \(0^{\circ}\) y \(90^{\circ}\), y un ángulo obtuso mide entre \(…
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5. find the equation of the parabola with the focus at (-3,1) and verte…
\((y - 1)^{2}=-8(x + 1)\)
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clasificar los cuatro ángulos del cuadrilátero.
# Explicación breve: - Un ángulo agudo mide entre \(0^{\circ}\) y \(90^{\circ}\). - Un ángulo recto mide exactamente \(90^{\circ}\). - Un ángulo obtuso mide entre \(90^{\circ}\) y…
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5. find the equation of the parabola with the focus at (-3,1) and verte…
\((y - 1)^{2}=-8(x + 1)\)
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find the distance between the points (4,6) and (2,0). write your answer…
\(2\sqrt{10}\)
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5 the diagram shows two similar quadrilaterals, (abcd) and (efgh) (ab =…
(a) \(x = 12.5\) (b) \(y=9.6\)
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3. find the equation of the parabola with the focus, f (0, 3) and a dir…
\(x^{2}=16(y + 1)\)
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which of the following statements are true? select all that apply. a. (…
C. $r\parallel s$ if $\angle2\cong\angle4$
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b. focus $(1,-3)$, directrix $y=-7$ equation: _
\((x - 1)^2=8(y + 5)\)
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what is the surface area? square meters submit
\(202\)
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this coordinate plane shows the shape of a hang glider. the perimeter o…
A. 54 feet
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what is the ratio of the area of the inner square to the area of the ou…
A. \(\frac{(a - b)^{2}+b^{2}}{a^{2}}\)
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what is the distance between $(-5, -6)$ and $(-3, -8)$? choose 1 answer…
D. \(\sqrt{8}\)
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a is the image of the point a after a reflection. a(-4,2)→a(-4,-2) over…
\(x -\)axis
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a. vertex (4, -2), focus (2, -2) equation:__________________________
\((y + 2)^{2}=-8(x - 4)\)
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c is the image of the point c after a reflection. c(6, - 3)→c(6, 3) ove…
\(x\) - axis
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what is the area of the triangle in the diagram? a. $\\frac{1}{2}\\sqrt…
A. \(\frac{1}{2}\sqrt{(x_1^{2}+y_1^{2})(x_2^{2}+y_2^{2})}\)
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consider polygon abcde on the coordinate grid. what is the best approxi…
D. 22.1 units
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b. $x = \\frac{1}{2}(y + 1)^{2}+2$ vertex: p - value: axis of symmetry:…
Vertex: \((2,-1)\) \(P -\)value: \(\frac{1}{2}\) Axis of symmetry: \(y = - 1\) Focus: \((\frac{5}{2},-1)\) Directrix: \(x=\frac{3}{2}\)
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write the coordinates of the vertices after a reflection over the line …
\(S'(-6,3)\), \(T'(-3,8)\), \(U'(-2,3)\), \(V'(-3,-3)\)
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13. un plombier utilise le plan dune salle de bains ayant une échelle d…
La longueur réelle du bain est \( 1,8\ m\) (en supposant que la mesure sur le plan soit \( 4,5\ cm\)). Si la mesure sur le plan est différente (par exemple \( x\ cm\)), la longueu…
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a. $y = \\frac{1}{8}(x - 1)^2$ vertex: $p - value$: axis of symmetry: f…
Vertex: \((1,0)\) \(p - value\): \(2\) Axis of symmetry: \(x = 1\) Focus: \((1,2)\) Directrix: \(y=-2\)
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6) equation: opens: vertex: axis of symmetry: p - value: focus: directr…
Equation: \(y^{2}=-8(x + 2)\) Opens: Left Vertex: \((-2,0)\) Axis of Symmetry: \(y = 0\) \(p\) - value: \(-2\) Focus: \((-4,0)\) Directrix: \(x = 0\) Domain: \(x\leqslant-2\) Rang…
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what is the distance between the following points? choose 1 answer: a $…
\(\sqrt{68}\)
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solve for h. 71h - 32h - 27 = 51 h = submit next up done for now? try t…
$2$
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what is the length of the line? choose 1 answer: a 9 b 8 c \\sqrt{45} d…
C. \(\sqrt{45}\)
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solve for t. 49t - 90t + 37t + 91t - 65t = 88 t = submit next up done f…
$4$
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solve for t. 49t - 90t + 37t + 91t - 65t = 88 t = submit next up done f…
\(t = 4\)
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(2) consider the equations given below. part 1: identify the slope of e…
## Part 1: a. Slope \(=5\) b. Slope \(=-\frac{3}{2}\) c. Slope \(=1\) ## Part 2: a. Parallel (because their slopes are equal, \(m_1 = m_2=5\)) b. Perpendicular (because \(m_1\time…
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what is the distance between $(8, -3)$ and $(4, -7)$? choose 1 answer: …
C. \(\sqrt{32}\)
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you start at (4, -4). you move right 1 unit and up 1 unit. where do you…
\((5,-3)\)
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the graph shows triangles abc and jkl. is abc similar to jkl? justify y…
Yes, because a dilation by a scale factor of 2 centered at the origin followed by a reflection over the \(x -\)axis maps \(ABC\) onto \(JKL\).
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the graph shows triangles lmn and opq. is lmn similar to opq? justify y…
No, because \(\angle N\) and \(\angle Q\) do not have the same measure.
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what is the distance between the following points? choose 1 answer: a 7…
B. \(9\)
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what is the distance between $(-6,4)$ and $(-8,6)$? choose 1 answer: a …
D. \(\sqrt{8}\)
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the graph shows quadrilaterals cdef and lmno is cdef similar to lmno? j…
No, because \(\frac{LM}{CD}\) is not equal to \(\frac{MN}{DE}\)
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the graph shows quadrilaterals defg and nopq. is defg similar to nopq? …
Yes, because a dilation by a scale factor of 2 centered at point \(E\) followed by a translation right 6 units and down 4 units maps \(DEFG\) onto \(NOPQ\).
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the graph shows triangles abc and lmn. is abc similar to lmn? justify y…
Yes, because a dilation by a scale factor of 5 centered at the origin maps \(ABC\) onto \(LMN\).
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the figure below is a square. find the length of side ( x ) to the near…
\(x\approx3.7\)
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the graph shows quadrilaterals cdef and lmno. is cdef similar to lmno? …
No, because \(\angle C\) and \(\angle L\) do not have the same measure.
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in the diagram below of triangle bcd, e is the midpoint of \\( \\overli…
\(12\)
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in the diagram below of triangle vwx, y is the midpoint of \\( \\overli…
\(8\)
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in the diagram below of triangle abc, d is the midpoint of \\( \\overli…
\(18\)
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in the diagram below of triangle bcd, e is the midpoint of bd and f is …
\(5\)
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mcr3u trigonometry asignment commumication 6. the hypotenuse of a right…
a) The base \(b=\frac{5\sqrt{2}}{2}\) cm and the height \(h = \frac{5\sqrt{2}}{2}\) cm. b) The area of the triangle is \(\frac{25}{4}\) \(cm^{2}\)
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in the diagram below of triangle lmn, o is the midpoint of \\( \\overli…
\(40\)
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triangle ijk is formed by connecting the midpoints of the side of trian…
\(14\)
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triangle ijk is formed by connecting the midpoints of the side of trian…
\(12\)
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triangle xyz is formed by connecting the midpoints of the sides of tria…
\(2\)
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triangle uvw is formed by connecting the midpoints of the si e of tr ng…
\(2\)
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triangle fgh is formed by connecting the midpoints of the side of trian…
\(5\)