Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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solve for c. c 43° a = 8 c = ? 55° a b law of sines: (\frac{sin a}{a} =…
\( \approx 6.66 \)
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find u. write your answer as a whole number or a decimal. do not round.…
\(u = 8\) feet
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find the standard form of the equation of the ellipse and give the loca…
The foci are located at \((0, \sqrt{7})\), \((0, -\sqrt{7})\) and the standard form of the ellipse equation is \(\frac{x^2}{9}+\frac{y^2}{16}=1\).
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solve for c. a triangle labeled with vertices a, b, c. angle at a is 25…
\( \boxed{28.69} \)
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in the diagram below, $\\triangle cde \\sim \\triangle fge$. find $n$. …
\(n = 4\) yards
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solve for c. a = 12 law of sines: \\(\\frac{\\sin a}{a} = \\frac{\\sin …
\( \boxed{21.66} \) (rounded to nearest hundredth)
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solve for b. law of sines: $\frac{sin a}{a} = \frac{sin b}{b} = \frac{s…
\( b \approx 10.59 \)
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solve for b. (image of triangle with vertices b, a, c. side a = 18 (bc)…
\(8.51\)
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use the law of sines to solve for b. finally, use a calculator to evalu…
$6.34$
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use the law of sines to solve for b. use algebra to isolate b. \\(\\fra…
\(b=\frac{6\sin(69^{\circ})}{\sin(62^{\circ})}\) (So the first box is \(6\), the second box is \(69^{\circ}\), and the third box is \(62^{\circ}\))
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the triangle has a point of concurrency at p. find the value of x that …
# Explanation: ## Step1: Find x for incenter The incenter is equidistant from all sides, so the two segments to the sides (the ones with right angles) are equal. So set \(5x - 4 =…
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$\\triangle ehi \\cong \\triangle fgi$. complete the proof that $\\angl…
The proof is completed with the reasons: 1. Given; 2. CPCTC; 3. CPCTC; 4. CPCTC; 5. CPCTC; 6. Segment Addition Postulate; 7. Segment Addition Postulate; 8. Substitution; 9. Substi…
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if these two figures are similar, what is the mea (with two triangles, …
\(35^\circ\)
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h is the circumcenter of δace. what is the length of \\(\\overline{ha}\…
48 units
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a transformation named t maps △xyz to △xyz. the transformation shown is…
translation (the option "translation")
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question in circle k, kl = 15 and the length of \\(\\overarc{lm} = 5\\p…
\(60\)
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point x is the incenter of $\\triangle abc$. if $ex = 4z + 1$, $xf = 2z…
\( GX = \boldsymbol{13} \), \( m\angle ABX = \boldsymbol{22}^\circ \)
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a. does distance between points change under a dilation? it does not ch…
It does change ### Part b
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complete the proof that \\(\\overline{uz} \\cong \\overline{wx}\\). ima…
$\overline{UZ} \cong \overline{WX}$ is proven via AAS congruence of $\triangle UVZ$ and $\triangle XYW$, then CPCTC.
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g is the incenter, or point of concurrency, of the angle bisectors of δ…
7
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a. does distance between points change under a dilation? it does not ch…
It does change
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quadrilateral stuv is a kite. what is m∠t? v u 97° s 121° t m∠t = \\box…
\(71\)
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what sequence of transformations will transform a circle with center ( …
A. A translation taking \( O_1 \) to \( O_2 \) followed by a dilation with center \( O_2 \) and scale factor 10.
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point p is the center of the circle that is circumscribed around the tr…
D. the point of concurrency of the perpendicular bisectors
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graph. x ≤ 2 plot the endpoints. select an endpoint to change it from c…
To graph \( x \leq 2 \) on the number line: 1. Place a closed (filled - in) dot at the point labeled 2 (since the inequality is "less than or equal to", the endpoint is included).…
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a transformation named t maps △xyz to △xyz. the transformation shown is…
translation (the option "translation" among the choices)
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which triangle shows the incenter at point a?
The second triangle (the one with angle - marking arcs around point A)
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graph the solution to this inequality on the number line. -2 + x ≥ 1 nu…
The circle will be closed going to the right on 3 (matching the second option: "The circle will be closed going to the right on 3").
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if these two shapes are similar, what is the measure of the missing len…
3
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quadrilateral stuv is a kite. what is m∠t? v u 97° s 121° t m∠t = \\box…
\(71\)
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complete the proof that \\(\\overline{vw} \\cong \\overline{tz}\\). (im…
The completed reasons are: 3. Vertical angles are congruent 4. Segment addition postulate 5. Segment addition postulate 6. Substitution property 7. Transitive property of equality…
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quadrilateral cdef is a kite. what is m∠f? m∠f = \\boxed{\\circ}
\( 54 \)
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question the width of a rectangle measures (7.6v + 2.6) centimeters, an…
\(22.2v - 3.6\)
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where do the points of concurrency of certain types of triangles lie? t…
1. The circumcenter of an obtuse triangle lies outside the triangle. 2. The incenter of a right triangle lies inside the triangle. 3. The point of concurrency of the angle bisecto…
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point s is the point of concurrency of the angle bisectors of δwxy. wha…
\( SU = 5 \) (corresponding to the option "SU = 5")
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complete the proof that \\(\\overline{vw} \\cong \\overline{tz}\\). (im…
$\overline{VW} \cong \overline{TZ}$ is proven via ASA congruence and CPCTC.
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name geometry 10 - module cumulative assessment: triangles and congruen…
(The answer would be calculated based on the exact values from the image. For example, if in sub - question 1, $\angle A = 50^{\circ}$, $\angle B=60^{\circ}$, then $\angle C = 180…
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δegi is equilateral. complete the proof that \\(\\overline{ef} \\cong \…
$\overline{EF} \cong \overline{HI}$ is proven via AAS congruence and CPCTC.
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you might need: calculator what is the slope of the line? show calculat…
$-\frac{3}{4}$
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h is the circumcenter, or point of concurrency, of the perpendicular bi…
The true statements are: - \( \angle \text{HDC} \cong \angle \text{HDE} \) - \( \overline{\text{AB}} \cong \overline{\text{BC}} \) - \( \overline{\text{HC}} \cong \overline{\text{…
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the area of a rectangle is 24 square centimeters. the length (x), in ce…
A. 3 cm
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the figure describes a dilation with center o and image in bold. find t…
Scale factor: 5, x: 7.2, y: 12
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learn with an example watch a video questions answered quadrilateral vw…
\(61\)
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the rectangular prisms shown are similar. what is the area of the base …
1.20 \(cm^{2}\)
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quadrilateral uvwx is an isosceles trapezoid, uw = 8c + 57, and vx = 5c…
\(8\)
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$\\angle srt \\cong \\angle puq$, $\\angle pqu \\cong \\angle rts$, and…
$\overline{RS} \cong \overline{PU}$ (proven via ASA congruence of $\triangle PQU$ and $\triangle STR$ and CPCTC)
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sv is the midsegment of the trapezoid qrtu. if qr = 2y + 22, sv = 8y - …
\(y = 19\)
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question 9 module 5 review triangles and congruence statements | reason…
Step 2: Definition of midpoint Step 3: SSS Step 4: SSS (Note: If the intended answer for step 4 is SAS, then step 3 would be CPCTC, but since CPCTC is not an option, the closest i…
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2. select the best answer. what is a manager’s expectation concerning p…
that it will not be shared outside the group
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you might need 📊 calculator what is the slope of the line? show calcul…
-3
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cylinders a and b are similar solids. the base of cylinder a has a circ…
\(\frac{3}{2}\) (the second option)
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if a dilation with center o and scale factor r takes a quadrilateral ab…
C. A dilation with center \( O \) and scale factor \( \frac{1}{r} \)
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in the following figure, the smaller triangle is the image of the large…
$\frac{3}{5}$
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the volumes of two similar solids are 210 m³ and 1,680 m³. the surface …
B. \(214m^{2}\)
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if \\(\\overline{vy}\\) is not parallel to \\(\\overline{wx}\\), what i…
\(77\)
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a rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a he…
\(3\frac{1}{2}\)
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in the following figure, the smaller triangle is the image of the large…
# Explanation: ## Step1: Identify Corresponding Sides The larger[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][SSE Completed, Client Connection E…
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a box in the shape of a rectangular prism, with dimensions 12 inches by…
C. 48
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find the geometric mean of 8 and 28. the geometric mean is (there is a …
\(4\sqrt{14}\approx15\)
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the two triangular prisms shown are similar. the dimensions of the larg…
\(\frac{16}{25}\) (the second option)
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solve for the variable shown. y = \\boxed{} (round to three decimal pla…
\(37.816\)
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a square garden has sides that are 24 meters long. fencing costs $7.40 …
710.4
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the perimeter of a rectangular note card is 18 inches. the area is 20 s…
4 inches by 5 inches
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ladders what is the measure of the angle formed by the top of the ladde…
\(15^\circ\)
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write an equation of a line in slope-intercept form that passes through…
\(y=-13x + 15.2\)
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the perimeter of a square garden is 60 yards. how long is each side of …
15
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triangle abc is reflected across the y-axis and then dilated by a facto…
D. The reflection preserves the side lengths and angles of triangle ABC. The dilation preserves angles but not side lengths.
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write the equation of a line perpendicular to 5x - 6y = - 7 that passes…
\(y =-\frac{6}{5}x-2\)
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a rectangular price tag has an area of 70 square centimeters. its perim…
10 centimeters by 7 centimeters
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what is the slope of a line that is parallel to $y = -\frac{1}{3}x - 15…
\(-\frac{1}{3}\)
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trevor is creating picture that measures 10 units by x units, and will …
A. The values of \(x\) and \(y\) that will make the total area less than 200 square units.
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given: \\(\\overline{xy} \\cong \\overline{uv}\\), \\(\\overline{yz} \\…
The reasons for each step are: 1. Given 2. Definition of Congruent Segments 3. Segment Addition Postulate 4. Substitution Property of Equality 5. Transitive Property of Equality (…
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in addition to the facts in the diagram, which other statements are nec…
iii. \(m\angle A = m\angle E\)
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Question was provided via image upload.
To solve these transformation problems: ### Translation (e.g., Problem 13): For vertices \(D, E, F\) and vector \((x + 2, y - 2)\): - \(D'\): Apply \(x + 2\), \(y - 2\) to \(D\)’s…
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4. two triangles, one with vertices a, n, f (angle at a: 29°, angle at …
\(\triangle ANF\sim\triangle HSE\) (by the AA (Angle - Angle) similarity criterion, since all three pairs of corresponding angles are equal)
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drag the tiles to the boxes to form correct pairs. polygon abcd is rota…
# Explanation: ## Step1: Identify Original Coordinates First, find the coordinates of the original polygon's vertices. From the graph: - \( A(1, 1) \) - \( B(2, 1) \) - \( C(2, 2)…
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select the correct answer. based only on the facts in the diagram, whic…
A. SAS
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4. list two cases in which we would use the cosine law (include diagram…
- Case 1: Given two sides and the included angle (SAS) of a triangle, to find the third side. Diagram: A triangle with two sides (e.g., \(AB\), \(AC\)) and the included angle (\(\…
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which notation describes this transformation? a. ((x, y) = (x + 9, y - …
A. \((x',y')=(x + 9,y - 2)\)
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find the equation of a line perpendicular to $y = -x + 6$ that passes t…
\( y + 3=x - 1 \) (or the option corresponding to this equation, looking at the options, it is the fourth option: \( y + 3=x - 1 \))
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write the coordinates of the vertices after a translation 6 units left.…
\( R'(-3, -8) \) \( S'(2, -7) \) \( T'(-3, -4) \) \( U'(-7, -7) \)
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9.38 write the coordinates of the vertices after a translation 8 units …
\( J'(-10, -8) \) \( K'(-2, -8) \) \( L'(-9, -6) \)
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a triangle that has two equal angles and two equal sides is a(n) ______…
B. isosceles triangle
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6. what is the y-intercept of a line that passes through the points (-1…
B. -4
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write the coordinates of the vertices after a translation 3 units left …
\( E'(-10, -1) \) \( F'(-10, 6) \) \( G'(-3, 6) \) \( H'(-3, -1) \)
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seven battleships that each cover 4 coordinates are located somewhere o…
To sink a battleship, follow these steps: 1. Choose a coordinate (e.g., \((1, 1)\)), enter it in the input box. 2. Click "Fire". 3. If hit, check adjacent coordinates (horizontal/…
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write the coordinates of the vertices after a translation 8 units down.…
\( B'(-7, - 3) \) \( C'(3, - 3) \) \( D'(3, - 1) \) \( E'(-7, - 1) \)
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the two triangular prisms shown are similar. what is the volume of the …
\(144\text{ m}^3\) (the fourth option)
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geometry: ---- exit ticket week 17 1) find the h in the proportion \\(\…
\(h\approx2.7\)
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3) triangle is shown below. (show your work which triangle similarity c…
The \(\boldsymbol{SAS}\) Triangle Similarity Criterion The scale factor is \(\boldsymbol{\frac{1}{3}}\)
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which property is illustrated by this statement? if m∠a = 25° and 25° =…
Transitive Property
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3) triangle is shown below. (show your work which triangle similarity c…
SAS (Side - Angle - Side)
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a spherical water tank holds 8,500 ft³ of water. what is the diameter o…
\(25.32\)
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a spherical water tank holds 11,500 ft³ of water. what is the diameter …
\(28.90\)
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for the given figure, find the area of the rectangle a. the other two l…
\(54\ ft^{2}\)
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which statement explains why figure jklmn is congruent to figure vwxyz?…
B. Figure JKLMN was reflected across the y - axis and translated 1 unit to the right.
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which figure is a translation of figure p? figure q how can you map fig…
Translate figure \( P \) down 4 units to form figure \( Q \).
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complete problems 3–5. 3 skyler plays a card game. in the first round, …
Circle each yellow + chip with a red - chip (4 pairs total). #### Part b
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what is the eccentricity of the ellipse shown below?\\( \\frac{(x - 5)^…
C. \(\frac{\sqrt{3}}{4}\)
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*click twice to draw a line. click a segment to erase it.* answer attem…
Leg 1: \(\boldsymbol{5}\) Leg 2: \(\boldsymbol{12}\) Hypotenuse: \(\boldsymbol{13}\)