Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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look at the figure below: what is the length, in units, of segment cd? …
12.25
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question 1 (multiple choice worth 1 points) (03 02pr mc) the vertices o…
They are similar by the definition of similarity in terms of a dilation.
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in △abc, the coordinates of vertices a and b are a(1, -1) and b(3, 2). …
- \(C(0,2)\): Not a Right Triangle - \(C(3,-1)\): Right Triangle - \(C(0,4)\): Right Triangle
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unit exam: coordinate geometry if $overleftrightarrow{jc}perpoverleftri…
Since \( \overleftrightarrow{JC} \perp \overleftrightarrow{BT} \), we know that their slopes are **opposite reciprocals**. Therefore, the slope of \( \overleftrightarrow{BT} \) is…
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a sphere has a radius of 5 mm. what is the total surface area of the sp…
\(314.00\) mm²
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angle complements and supplements write the complements of these angles…
- Complement of \(86^{\circ}19'48''\): \(3^{\circ}40'12''\) - Complement of \(44^{\circ}3'4''\): \(45^{\circ}56'56''\) - Supplement of \(109^{\circ}56'\): \(70^{\circ}4'\) - Suppl…
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no additional details were added for this assignment. unit exam: coordi…
\(y=\frac{1}{5}x + 9\)
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narrative traits tracker imagery \her peacock - colored lehenga that sw…
- **IMAGERY**: - **Literal Meaning**: Yasmeen is wearing a colorful lehenga, sparkling bangles, an emerald - pearl choker, and kohl - lined eyelids, looking like a glamorous Bolly…
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find x, the angle of depression from the top of a lighthouse that is 17…
\(x\approx8.4^{\circ}\)
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consider a triangle ( abc ) like the one below. suppose that ( b = 25^{…
\(A = 49^{\circ}\), \(b\approx26.9\), \(c\approx61.7\)
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a cyclist is riding on a mountain trail. her current elevation is 1.5 k…
\(1.1\) kilometers
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given the points ( g(5,3) ), ( h(-3,2) ), ( i(5,2) ), and ( j(-3,1) ), …
Since \(GH=\sqrt{65}\) and \(IJ = \sqrt{65}\), we can say that \(\overline{GH}\cong\overline{IJ}\) (because segments with equal lengths are congruent).
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excerpt from \the adventure of silver blaze\ by arthur conan doyle \edi…
Edith was suspicious of the stranger that she encountered at the stables.
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consider a triangle abc like the one below. suppose that a = 45, c = 51…
First solution: \(C = 34.5^{\circ}\), \(B = 115.5^{\circ}\), \(b\approx81.9\) Second solution: \(C = 145.5^{\circ}\), \(B = 4.5^{\circ}\), \(b\approx7.1\)
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rectangle abcd is on a coordinate plane with vertices a(1,4), b(4,1), c…
The area of rectangle \(ABCD\) is \(24\) square units. The area of \(\triangle PQR\) is \(5\) square units.
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the length of a shadow of a building is 58 ft when the sun is 57° above…
\(89.3\) ft
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warm - up: 10/28/25 name: period: score: find the measure of each of th…
### 1. **Equation**: \(7x - 10=13x - 10\) **\(x\)**: \(0\) **\(m\angle NLM\)**: \(7(0)-10 = - 10\) (This result is not possible. There might be a mistake in the problem setup. If …
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consider a triangle ( abc ) like the one below. suppose that ( a = 51 )…
\(A = 89.5^{\circ}\), \(B = 51.7^{\circ}\), \(C = 38.8^{\circ}\)
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a kite flying in the air has a 79 - ft string attached to it, and the s…
\(60.5\) ft
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solve for x in the triangle. round your answer to the nearest tenth.
\(16.0\)
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problem 4 here is parallelogram abcd: prove segment am is congruent to …
Since in parallelogram \(ABCD\), \(\triangle ABM\cong\triangle CDM\) (by AAS, as \(AB = CD\), \(\angle ABM=\angle CDM\), \(\angle BAM=\angle DCM\)), then \(AM = CM\) (correspondin…
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circle c has its center at (5,0) and a point is on the circle at m(7,4)…
First box: \((5 - 12)^{2}+(0 + 3)^{2}\) Second box: false Third box: is not
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1.5 notetaking with vocabulary (continued) extra practice in exercises …
1. \(y = 15+2x\) 2. \(y=2 - 4x\) 3. \(y=\frac{-3x + 6}{4}\) 4. \(y=11 - x\) 5. \(y=3x + 4\) 6. \(y=\frac{-3x + 6}{4}\) 7. \(y = 6x\) 8. (No variable to solve for as the equation \…
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the coordinates of the vertices of a polygon are $(-2, -2)$, $(3, -3)$,…
16.9 units
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calculator what is the area of this rectangle? 60 units² 66 units² 70 u…
\(66\) units². So the answer is \(66\) units² (the option corresponding to \(66\) units²).
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potion of a poem (poetic devices) i went by the druid stone that broods…
3 (for "That broods in the garden white and lone")
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jaycee is writing a coordinate proof to show that the diagonals of a re…
\((\frac{a}{2},\frac{b}{2})\)
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james is writing a coordinate proof involving a parallelogram. knowing …
\((2a,a)\) (the third option)
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marco is writing a coordinate proof involving a right isosceles triangl…
\((a,b)\)
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which of the following proportions is true? a. \\( \\frac { p s } { p q…
b. \(\frac{SR}{ON}=\frac{PQ}{LM}\) (assuming the side - length correspondences as calculated) #### Question 4
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talia is writing a coordinate proof to show that the diagonals of a squ…
Show that the slope of \(\overline{SQ}\) is \(1\) and the slope of \(\overline{PR}\) is \(-1\).
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5. a large monument with height of 2351 m is located exactly halfway be…
The angle of elevation \(x\) is approximately \(20.1^{\circ}\)
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which statement correctly describes whether quadrilateral defg is a rec…
Quadrilateral \(DEFG\) is not a rectangle because it has only two right angles.
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the coordinates of the vertices of quadrilateral ( j k l m ) are ( j(-3…
The slope of \(JK\) is \(-\frac{3}{7}\), the slope of \(LK\) is \(2\), the slope of \(ML\) is \(-\frac{3}{7}\), the slope of \(MJ\) is \(2\). Quadrilateral \(JKLM\) is a parallelo…
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justin, a student in mr. turners geometry class, made the following cla…
# Explicación breve: ## Reclamación 1: Un hexágono regular tiene 6 líneas de simetría. Cada línea de simetría pasa por un vértice y el centro \(O\). Entonces, la reclamación 1 es …
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5) rotation 90° clockwise about the origin rules of transformations: : …
1. Translation 2. Reflection 3. Rotation
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calculator the coordinates of the vertices of quadrilateral ( j k l m )…
Quadrilateral \(JKLM\) is not a rhombus because there is only one pair of opposite sides that are parallel.
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which transformation can be used to map figure 1 onto itself and can al…
B. A rotation of \(180^{\circ}\) about the center of the figure.
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4. jason is standing 8.7 km from town x and 11.5 km from town y. from w…
The height of the hotel is approximately \(175\) metres.
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question a tree casts a 38 foot shadow at the same time a boy casts a 9…
D. A 23.2 foot tall tree casts a 38 - foot shadow.
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select the correct answer and justification. a no, they are not congrue…
B. Yes, they are congruent. \(ABCD\) was translated to form \(A'B'C'D'\).
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question a tree casts a 38 foot shadow at the same time a boy casts a 9…
$23.2$
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which triangle congruence theorem can be used to prove two triangles ar…
A. AAS, B. ASA, D. SSS, F. HL, G. SAS
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8. if \\( \\triangle d g h \\sim \\triangle d e f \\), find the value o…
\(x = 25\) ### 9.
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explain how the two triangles are congruent. a triangles congruent by s…
C. Triangles congruent by ASA
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which statement justifies why ( overline{cb} cong overline{db} )? a rig…
D. Distance is preserved under reflection.
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the triangles here are each obtained by applying rigid motions to trian…
All triangles are congruent to triangle 1 as rigid motions (translation, rotation, reflection) preserve side - lengths and angles, so they have the same shape and size.
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in the xy - plane, \\( \\triangle rst \\) is first reflected across the…
B. The length of each side of \(\triangle R'S'T'\) is equal to the length of a corresponding side of \(\triangle RST\).
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zach claims he can move the triangle a to a using the following sequenc…
A. Only Zach’s claim is correct.
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write the coordinates of the vertices after a rotation 270° countercloc…
\(E'(-4,-1)\), \(F'(-4,-9)\), \(G'(0,-9)\), \(H'(0,-1)\)
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vw || su. find tv. tv =
\(67.2\)
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st || uw. find tu. tu =
\(22\)
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question 15 (multiple choice worth 1 points) (02.01r, 2.02r mc) which t…
C. A dilation followed by a rotation
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find st. st =
\(32\)
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line ac intersects line bd at point o. if ( mangle boc=(3x + 1)^{circ} …
\(140^{\circ}\)
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rs || tv. find uv. uv =
\(12\)
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triangle abc and triangle def are shown on the coordinate plane. which …
\(\triangle ABC\cong\triangle DEF\) by \(HL\)
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finding the perimeter of a kite in the coordinate plane a sandbox is sh…
\(37\)
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question 11 (multiple choice worth 1 points) (02 03r mc) triangle lmn h…
\(2\) units (corresponds to the second option in the multiple - choice list)
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what angle relationship describes \\( \\angle vqr \\) and \\( \\angle q…
Alternate interior angles
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find qr. qr =
\(34.3\)
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line ab intersects line cd at point f. if ( mangle afc=(10x - 11)^{circ…
\(39^{\circ}\)
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calculator the coordinates of the vertices of △ghj are g(-1,3), h(1,2),…
The slope of \( \overline{GH} \) is \( -\frac{1}{2} \), the slope of \( \overline{HJ} \) is \( \frac{3}{4} \), the slope of \( \overline{JG} \) is \( 2 \), \( \triangle GHJ \) is …
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triangle abc is shown on the coordinate plane. if triangle abc is rotat…
\((-5,4)\)
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applying the area of a rhombus formula juan is making a model out of rh…
\(12\) square inches
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question 7 (multiple choice worth 1 points) (01 06r lc) a gardener is p…
\(8\) in
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assignment find the value of each trigonometric ratio. soh cah toa sine…
$\frac{4}{5}$
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the coordinates of rhombus abcd are a(-4,-2), b(-2,6), c(6,8), and d(4,…
B. 60 square units
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the following is an incorrect flowchart proving that point l, lying on …
An arrow is missing between the given statement and \(\angle LNK\cong\angle LNJ\)
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qr || ps. find pt. pt =
\(150\)
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question 5 (multiple choice worth 1 points) (82.01r lc) the coordinate …
\(y - 6\)
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calculator the coordinates of the vertices of △jkl are j(-5, -1), k(0, …
\(\triangle JKL\) is not a right triangle because no two of its sides are perpendicular.
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tu || sv. find rv. 18 t s 6 r 28 u rv =
\(RV = 14\)
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what is the volume of this cylinder in cubic feet? 4 ft. 8 ft. 32π 64π …
\(128\pi\)
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some steps to construct an angle mnt congruent to angle pqr are listed …
Adjust the width of the compass to \(AB\), and draw an arc from point \(X\) such that it intersects the arc drawn from \(N\) in a point \(Y\)
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find qr. qr =
\(17\)
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9. angle bde is congruent to angle bac. name another pair of congruent …
Another pair of congruent angles is \(\angle BED\) and \(\angle BCA\).
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explaining a process how can you find the perimeter of the rhombus? fin…
Use the distance formula to find QT, then multiply by 4.
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liam and tehya are trying to determine whether \\( \\triangle abc \\) a…
Tehya only
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applying the area of a trapezoid formula a plot of land has an area of …
\(4.5\)
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2. sheryl is surveying a cliff to determine the elevation from the base…
\(94.1\) m
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answer the following. (a) in the scale drawing, the length of the airpl…
a. \(48\) feet b. \(9\) inches
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practice using areas and perimeters of trapezoids, rhombi, and kites. h…
\(110400\)
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what is the inverse of the following statement? \if the corresponding a…
If the corresponding angles are not congruent, then the lines are not parallel.
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ae and df are parallel. if m∠abg = 12x and m∠hcf = 11x + 9, what is m∠h…
\(108^{\circ}\)
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which statements must be true about the reflection of $\triangle xyz$ a…
\(m\angle MCY = 90^{\circ}\), \(BZ\cong BZ'\), \(XY\parallel X'Y'\)
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find tv. tv = submit work it out not feeling ready yet? these can help …
\(24\)
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the image of trapezoid pqrs after a reflection across wy is trapezoid p…
\(\overline{RR'}\parallel\overline{SS'}\)
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parallelogram. angles 1, 2, and 3. 6. measure of angle 2? 7. measure of…
\(100^{\circ}\)
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the image of \\( \\triangle abc \\) after a reflection across \\( \\ove…
F is the midpoint of \( \overline{AA'}\) because \( \overline{TG}\) bisects \( \overline{AA'}\) (the first option).
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the definition of a circle uses the undefined term arc line plane ray
plane
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qr || ps. find rs. rs =
\(14\)
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a line segment has endpoints at $(-4, -6)$ and $(-6, 4)$. which reflect…
a reflection of the line segment across the \(y -\)axis
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you do practice the quadrilateral is a parallelogram. find the measure …
6. \(100^{\circ}\) 7. \(80^{\circ}\)
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decide if each pair of triangles below is similar. if the triangles are…
- a. The triangles are similar by the AA (Angle - Angle) similarity criterion. - b. The equilateral triangles are similar. They satisfy the SSS (Side - Side - Side) similarity cri…
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which defines a circle? two rays with a common endpoint a piece of a li…
all coplanar points equidistant from a given point
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arlos must provide one cut - out paper model of each acute, right, and …
13.5 square units
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the quadrilateral is a parallelogram. find the measure of angles 1, 2, …
\(100^{\circ}\)
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which pair of undefined terms is used to define a ray? line and plane p…
point and line
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which theorem is not a valid theorem to show that two triangles are con…
B. SSA Triangle Congruence Theorem