Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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exercise #2: in the diagram below all points shown are collinear. h is …
Exercise #2: The length of \(\overline{GI}\) is \(15\) in. Exercise #3: The congruent line segments are \(\overline{AE}\) and \(\overline{EC}\).
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graph the image of z(3, -4) after a translation 8 units left and 6 unit…
The new coordinates of the point are $(-5,2)$.
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hexagon stuvwz is transformed according to the rule (x,y)→(x + 8,y - 8)…
C. Hexagon $S'T'U'V'W'Z'$ is congruent to hexagon $STUVWZ$ D. The area of hexagon $S'T'U'V'W'Z'$ is equal to the area of hexagon $STUVWZ$
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example 4: a. name the intersection of abce and fdba: b. name the inter…
a. Line AB b. Line AE c. Planes ABCE and FDEC d. Point A e. Point C f. $\varnothing$ g. (Manual shading task) h. 6
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graph the image of k(-5, 6) after a translation 2 units left and 2 unit…
The image of the point $K(-5,6)$ after the translation is $K'(-7,4)$.
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a transformation is applied to a figure to create a new figure. which t…
D. A dilation by a scale factor of $\frac{1}{3}$
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trapezoid hjl is rotated 270° clockwise about the origin to form trapez…
A. Trapezoid HJLK is congruent to trapezoid H'J'L'K' E. The angle measures of trapezoid HJLK are equal to the corresponding angle measures of trapezoid H'J'L'K'
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Question was provided via image upload.
$x = 10$
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find the area of the figure pictured. * 55 mm 32.5 mm 12.5 mm 12.5 mm y…
$544.53125\text{ mm}^2$
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draw the triangle that results from the following sequence of transform…
Plot the triangle with vertices \((-\frac{4}{3},-2)\), \((-\frac{8}{3},-1)\), \((-\frac{5}{3},1)\) on the coordinate - grid.
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name: aaeelah struker date: 9/25/2025 additional geometric terminology …
(a) 8.4 cm (b) Plot point \(M\) 4.2 cm from \(A\) along \(\overline{AB}\) (c) \(\overline{AM}\cong\overline{MB}\)
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if the volume of a cube - shaped box is 729 cubic inches, which equatio…
$s=\sqrt[3]{729}$
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graph the image of j(4, -9) after a translation 4 units right and 8 uni…
The image of point J(4, - 9) after the translation is J'(8, - 1). To graph it, locate the point (8, - 1) on the coordinate - plane where x = 8 and y=-1.
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graph the image of k(3, 6) after a translation 10 units left and 5 unit…
The image of point K(3, 6) after the translation is K'(-7, 1).
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describe the movement of the translation above. a the object moves 7 un…
A. The object moves 7 units down and 7 units right.
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wy || ik and ik || tv. complete the proof that m∠sxw + m∠tuz = 180°. st…
6. $\angle SXW$ and $\angle TUZ$ are supplementary; If two angles are congruent and one pair of them forms a linear - pair, the other pair is supplementary.
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graph the image of r(8, -7) after a translation 8 units left.
The image of the point \(R(8, - 7)\) after a translation 8 units left is \(R'(0,-7)\). To graph it, find the point \((0,-7)\) on the coordinate - plane, which is on the y - axis, …
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question given m || n, find the value of x and y. (3x + 5)° m (8x + 10)…
\(x=-1,y = 178\)
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given m || n, find the value of x and y.
\(x = 2.25\), \(y = 50.25\)
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graph the image of q(-8, -4) after a translation 2 units right.
The new point is $(-6,-4)$. To graph it, find the point where $x=-6$ and $y = - 4$ on the coordinate plane and mark it.
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which transformation will be equivalent to rotating a figure 180° count…
C. reflecting over the x - axis and the y - axis.
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qe 9. in the figure shown, r || s. if the m∠1 is 34°, which statements …
- The \(m\angle3\) is \(34^{\circ}\) because vertical angles are congruent. - The \(m\angle7\) is \(146^{\circ}\) because \(m\angle1\) and \(m\angle7\) are supplementary angles.
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solve the inequality and graph the solution on the line provided. 3x + …
Inequality Notation: $x>5$ Number Line: Plot an open - circle at 5 and draw a line to the right.
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given m || n, find the value of x and y.
\(x = 47\), \(y = 133\)
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solve the inequality and graph the solution on the line provided. 4x + …
Inequality Notation: $x\leq - 5$ Number Line: Plot a closed - circle at - 5 and shade to the left.
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ii. name the complementary angles to each of the following: (7.) 45° (8…
II. (7.) 45°; (8.) 20°; (9.) 78°; (10.) 28°; (11.) 65°; (12.) 40° III. (13.) 60°; (14.) 140°; (15.) 70°; (16.) 155°; (17.) 53°; (18.) 80° IV. (a) 10° (20.) (d) 90° and 90° (21.) (…
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quadrilateral abcd is dilated with the origin as the center of dilation…
D. $(x,y)\to(2x,2y)$
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11. name the complementary angles to each of the following: (7.) 45° (8…
(7) $45^{\circ}$ (8) $20^{\circ}$ (9) $78^{\circ}$ (10) $28^{\circ}$ (11) $65^{\circ}$ (12) $40^{\circ}$
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5. a polygon is graphed on a coordinate plane with (x, y) representing …
If $a$ is greater than 1, the image of the polygon is smaller than the original polygon.
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identify the hypothesis in the conditional statement below. point x lie…
Point X is the midpoint of segment AB.
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solve the inequality and graph the solution on the line provided. -8 + …
Inequality Notation: $x < 1$ Number Line: Draw an open - circle at 1 on the number line and shade the line to the left of 1.
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given m || n, find the value of x and y.
\(x = 47\), \(y = 133\)
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4. triangle xyz has been enlarged with p as the center of dilation to f…
$\frac{XY}{X'Y'}=\frac{YZ}{Y'Z'}=\frac{XZ}{X'Z'}$, $\triangle X'Y'Z'\sim\triangle XYZ$
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m∠hgz = x + 31, m∠hgf = 88°, and m∠zgf = x + 67. find x.
-5
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points a, b, and c are collinear. point b is between a and c. let bc = …
4
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solve the inequality and graph the solution on the line provided. 7x - …
Inequality Notation: $x\geq - 3$ Number Line: Plot a closed - circle at $-3$ and draw a line to the right.
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20. a cement walk 3 ft wide is placed around the outside of a rectangul…
\(\$457.33\)
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four triangles are shown. one side of each triangle lies on a ray, and …
The correct statement is \(a = 118\), because \(180-(53 + 65)=62\) and \(180 - 62=118\)
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graph the image of f(7, 8) after a reflection over the line y = 5.
The image of the point $F(7,8)$ after reflection over the line $y = 5$ is $F'(7,2)$.
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given m || n, find the value of x and y.
\(x = 137\), \(y = 43\)
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what is the value of x? (15x + 4)° 7x°
\(-\frac{1}{2}\)
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1. in the figure shown, ( l_1parallel l_2). what is the value of ( x)?
\(57^{\circ}\)
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find the distance between the points on the graph. o $sqrt{17}$ o $sqrt…
$\sqrt{29}$
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find the distance between (-8, 6) and (7, -2). √5 √23 √15 17
17
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graph the image of s(0, -6) after a reflection over the x - axis.
The image of $S(0,-6)$ after reflection over the $x - axis$ is the point $(0,6)$. To graph it, locate the point on the $y$-axis at $y = 6$ (since $x = 0$).
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latasha wants her vegetable garden to have an area of 48 square feet. s…
2 feet by 24 feet
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on the coordinate grid below, point m is halfway between point j and po…
$(4,-9)$
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solve the inequality and graph the solution on the line provided. -2x +…
Inequality Notation: $x\leq - 2$ Number Line: Plot a closed - circle at - 2 (because the inequality is $\leq$) and draw a line to the left of - 2.
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4. suppose you reflect a point using the y - axis as line of reflection…
# Explicación: ## Paso 1: Recuerda la regla de reflexión en el eje - y Cuando se refleja un punto $(x,y)$ en el eje - y, la regla es $(-x,y)$. ## Paso 2: Aplica la regla al punto …
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place the coordinates that correctly complete the sentence. the midpoin…
$(10,-2)$
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place the coordinates that best complete the sentence. the mid - point …
$(-39,23)$
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15. -3x(5x + 1)(8 - 2x) 16. (a + b)(3a - b)(2a + 7b) 17. (1 - 2n)^3-7n(…
15. \(30x^{3}-114x^{2}-24x\) 16. \(6a^{3}+25a^{2}b + 12ab^{2}-7b^{3}\) 17. \(1 + 8n+12n^{2}-15n^{3}\) 18. \(-12w^{3}+32w^{2}-136w + 80\) 19. \(-7x^{8}y^{4}+2x^{6}y^{2}-x^{2}\) 20.…
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solve the inequality and graph the solution on the line provided. -9 - …
Inequality Notation: $x\geq - 6$ Number Line: A closed - circle at - 6 and a line extending to the right.
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what is the slope of this line?
$-\frac{6}{5}$
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which statement is true about $overrightarrow{pq}$? points $p$ and $q$ …
Point $Q$ is the endpoint of $\overrightarrow{PQ}$.
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what is the slope of this line? (-5, 2) (5, 0)
$-\frac{1}{5}$
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an angle is a geometric figure that consists of two intersecting lines.…
C. two rays with a common endpoint
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the following figure is made of a square and a rectangle. what is the p…
28
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3. the point r has coordinates (3,2). a. without graphing, predict the …
# Explicación: ## Paso 1: Aplicar regla de reflexión en el eje - y La regla para reflejar un punto $(x,y)$ en el eje - y es $(-x,y)$. Dado el punto $R(3,2)$, aplicando la regla, e…
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the following figure is made of 3 rectangles that are all the same size…
86
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18. find the area of the shaded parts of the following figure. round yo…
$322.8$ in²
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directions - use the diagram of a trapezoid to find the following: a) p…
a) 21 in. b) 22 in².
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what is the slope of this line? (-5, -1) (-3, -1)
$0$
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9. find the perimeter of a square with a diagonal of 12 centimeters.
$24\sqrt{2}$ cm
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what is the slope of this line? (2, 5) (2, 2)
undefined
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the same size. 27 cm 14 cm what is the perimeter of the figure? cm
138
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1. triangle fgh is dilated on a coordinate grid using the origin as the…
New triangle is smaller: A. \((x,y)\to(0.8x,0.8y)\), B. \((x,y)\to(\frac{1}{3}x,\frac{1}{3}y)\) New triangle is larger: C. \((x,y)\to(2x,2y)\), D. \((x,y)\to(\frac{4}{3}x,\frac{4}…
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what is the value of z? z = °
$72$
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if a cube has a volume of $\frac{1}{8}$ cubic units, what is the area o…
$\frac{1}{4}$
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a. using the pen tool or the text tool, plot each point and label each …
# Explicación: ## Paso 1: Regla de reflexión sobre el eje x Cuando se refleja un punto $(x,y)$ sobre el eje $x$, la coordenada $x$ permanece igual y la coordenada $y$ cambia de si…
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4 fill in the blank 1 point x = type your answer... y = type your answe…
# Explicación: ## Paso1: Usar la propiedad de triángulo isósceles Como dos lados del triángulo miden 40, es isósceles. Entonces, los ángulos opuestos a esos lados son iguales. El …
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identify the intercepts. the intercepts are (type an ordered - pair. us…
(-1,0),(1,0),(0,5)
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8. find the diagonal of a square with a perimeter of 20 inches.
$5\sqrt{2}$ inches
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1 numeric 1 point find the value of x.
# Explicación: ## Paso 1: Identificar el triángulo El triángulo es isósceles, ya que tiene dos lados iguales (señalados con rayas rojas). En un triángulo isósceles, los ángulos op…
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a = type your answer... b = type your answer... c = type your answer...…
# Explicación: ## Paso 1: Encontrar el valor de \(a\) Sabemos que un ángulo recto mide \(90^{\circ}\), así que \(a = 90^{\circ}\). ## Paso 2: Encontrar el valor de \(b\) Los ángul…
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the following figure is made of a triangle and a rectangle. all of the …
61
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9 fill in the blank 1 point a = type your answer... b = type your answe…
# Explicación: ## Paso 1: Identificar triángulos congruentes Los triángulos superiores e inferiores son congruentes por el criterio ángulo - lado - ángulo (por las marcas de ángul…
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8 numeric 1 point find the value of x.
# Explicación: ## Paso 1: Identificar triángulos congruentes Los triángulos son congruentes por el criterio de lado - ángulo - lado (SAS). Entonces, los lados correspondientes son…
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5. angel placed a rectangular photograph on a page of the yearbook. rec…
$D''(-3,-2)$
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7 numeric 1 point find the value of x. answer
# Explicación: ## Paso 1: Identificar el triángulo El triángulo es equilátero, ya que tiene los tres lados iguales (se indican con las marcas de igualdad). En un triángulo equilát…
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4. becca performed two transformations on triangle abc to create triang…
Becca could have performed the transformations in either order. If she rotated triangle $ABC$ and then dilated it, the resulting triangle would be in the same location as if she d…
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6 numeric 1 point find the value of x. x + 12 2x - 3 answer
# Explicación: ## Paso 1: Identificar triángulo equilátero Dado que las marcas indican que los lados son iguales, el triángulo es equilátero y los lados son congruentes. Entonces,…
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find a missing side length when given area a rectangle has an area of 2…
6
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if these two shapes are similar, what is the measure of the missing len…
32
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fill in the blank 1 point 3x - 5 5y - 4 y + 12 x = type your answer... …
# Explicación: ## Paso 1: Identificar triángulos congruentes Suponiendo que los triángulos son congruentes y que los lados correspondientes son iguales. Entonces, podemos establec…
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if these two figures are similar, what is the measure of the missing an…
34°
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bella uses three 24 cm by 30 cm photos to make the following rectangle.…
204
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if these two shapes are similar, what is the measure of the missing len…
90
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if these two figures are similar, what is the measure of the missing an…
$30^{\circ}$
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if these two figures are similar, what is the measure of the missing an…
$30$
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nour is buying wood trim to put around the outside of her kitchen. how …
22 m
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tanya performs two transformations on △abc to form △abc, as shown on th…
1. True 2. True 3. False 4. False
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perimeter word problems lulu has exactly enough fencing to go around he…
12
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if these two figures are similar, what is the measure of the missing an…
\(41^{\circ}\)
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2 numeric 1 point find the value of x.
# Explicación: ## Paso1: Identificar el triángulo Es un triángulo isósceles, entonces los ángulos base son iguales. ## Paso2: Usar la suma de ángulos de un triángulo La suma de lo…
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write a sentence to describe the meaning of each statement. 1. the scal…
1. Every 1 unit of length on the model car represents 24 units of length on the actual car. 2. Every 5 units of length on the drawing of the ant represent 1 unit of length of the …
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lesson 5 quiz performing and describing transformations involving dilat…
The new coordinates of the dilated quadrilateral are $A'(4,10)$, $B'(10,8)$, $C'(4,2)$, $D'(10,2)$. Plot these points using the Polygon tool.
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if these two shapes are similar, what is the measure of the missing len…
9
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arthur uses three 10 cm by 15 cm photos to make the following rectangle…
110
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3.4cm 9cm a
\(a\approx9.62\mathrm{cm}\)