Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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using pythagorean inequalities, determine which set of the given three …
B. 5, 13, 19
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decide if the segments lengths form a triangle. if so, would the triang…
D. Yes, they would form an obtuse triangle.
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solving real - world problems with 45° - 45° - 90° triangles a baseball…
$90\sqrt{2}$ feet
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triangle abc is an equilateral triangle. segment ad measures 18 inches.…
DC = $6\sqrt{3}$ in, AC = $12\sqrt{3}$ in
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determining leg length in a 45°-45°-90° triangle the hypotenuse of a 45…
12√2 in.
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determining angle/side relationships what are the angle measures in tri…
$m\angle A=90^\circ, m\angle B=60^\circ, m\angle C=30^\circ$
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practice with special right triangles. each leg of a 45°-45°-90° triang…
14$\sqrt{2}$ cm
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suppose that each point in the coordinate plane is shifted 4 units to t…
\((10,13)\) ### Part (b)
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quadrilateral ghij is a translation of quadrilateral ghij. write the tr…
The translation rule is \( (x, y) \to (x - 9, y - 7) \)
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5) $5k - 2k > -9$ 7) $30 - 6a < -3(5 + 7a)$
1. For $5k - 2k > -9$: $k > -3$ (On the number line, draw an open circle at $-3$ and shade to the right.) 2. For $30 - 6a < -3(5 + 7a)$: $a < -3$ (On the number line, draw an open…
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ometry hw – 10.1 pythagorean theorem and its converse name: date: perio…
\( a = 12 \) ### Problem 3: Find \( b \)
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1. which rectangle has the greater area, a rectangle with length \\(\\f…
The rectangle with length $\frac{1}{12}$ foot and width $\frac{3}{4}$ foot has the greater area.
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tion. 2) $0 > -5x - 6x$ 4) $-9 > -5n - 4n$
1. For $0 > -5x - 6x$: $x > 0$ (On the number line, draw an open circle at 0 and shade to the right.) 2. For $-9 > -5n - 4n$: $n > 1$ (On the number line, draw an open circle at 1…
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use a quadratic function to model the area of the rectangle. graph the …
\( 3x^{2}+18x + 24 \)
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which details in this excerpt from mrs. dalloway seem to convey clariss…
(but that might be her heart, affected, they said, by influenza) …, Such fools we are, she thought, crossing Victoria Street.
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use a quadratic function to model the area of the rectangle. graph the …
\( 3x^{2}+18x + 24 \)
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part 1 of 2 the function f(x) = x² + 3x - 10 models the area of a recta…
\(x + 5\), \(x-2\) (or vice - versa, as long as both are positive for the domain of \(x\) considered) ### Part b:
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regents exam questions g.srt.a.2: dilations i www.jmap.org name: 4 if △…
4) 2) $B'C' = 3BC$ 5) 4) $\overline{BC} \parallel \overline{DE}$ 6) 3) The area of $\triangle DRS$ is 3 times the area of $\triangle KLM$. 7) 1) The area of the image is nine time…
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triangle theorem amari is standing 50 feet from the base of a building.…
$\boldsymbol{50\sqrt{3}}$ ft (Option: $50\sqrt{3}$ ft)
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which triangle is a right triangle?
The triangle with angles $60^\circ$, $30^\circ$, and $90^\circ$ (top-left triangle) is a right triangle.
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which net can be folded to form this rectangular pyramid?
B. <The second option with a rectangular base and four triangular faces (two narrow, two wider)>
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the length of segment ab is 9 mm. which statements regarding triangle a…
- $\overline{AB}$ is the shortest segment in $\triangle ABC$. - $\overline{AC} = 2\overline{AB}$
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6. a math exercise states that the circumference of a certain circle is…
None of the students (Larry, Rosie, Rashida) is correct because solving \( 3.14d = 23.55 \) gives \( d = \frac{23.55}{3.14} = 7.5 \), and none of the students' proposed diameters …
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write the equation of the line that is graphed. use slope-intercept for…
The slope of the line is \(\frac{1}{4}\), and the equation of the line is \(y=\frac{1}{4}x + 2\). So the slope box should be filled with \(\frac{1}{4}\) and the \(y=\square x + 2\…
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** this is a 2 - page document! ** if the sides of a triangle have the …
1. $\frac{16}{11} < x < 6$ 2. $6 < x < 20$ 3. $\frac{19}{2} < x < 15$ 4. $9 < x < 25$
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after bisecting an angle, nina has two new angles, each with a measure …
$198^\circ$
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cora measures \\(\\overline{lm}\\) and learns that it is 11 centimeters…
22 centimeters
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if a line segment measuring 32 centimeters is bisected to form two new …
16 centimeters
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no is 39 centimeters long. point n is the midpoint of mo. what is the l…
78 centimeters
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determining the side length ratio for 30°-60°-90° triangles which 30°-6…
The middle triangle (with $30^\circ$ opposite side length 1, $60^\circ$ opposite side length $\sqrt{3}$, hypotenuse length 2) is correctly labeled.
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find the surface area of the trapezoidal prism. $sa = \\square\\ \\text…
1488
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find the surface area of the trapezoidal prism. sa = \\square square in…
284
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given that △abc is equilateral, and ad bisects ∠a, show that the side l…
$30^\circ$
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verifying a 30°-60°-90° triangle relationship given that △abc is equila…
1. $60^\circ$ The side lengths of $\triangle ADB$ are confirmed to be in the ratio $1:\sqrt{3}:2$.
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point a = point b =
Point \( A' = \boldsymbol{(-4, 1)} \) (or \( (-4, 2) \) if y=2) Point \( B' = \boldsymbol{(-1, 1)} \) (or \( (-1, 2) \) if y=2) Wait, maybe the original coordinates are \( A(4, 2)…
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in wealthy athenian families, young boys went through an intense educat…
- Memorizing and reciting long poems such as Homer’s the Iliad and the Odyssey: to learn to read and use language - Practicing arithmetic and geometry problems on wax tablets: to …
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*remote learning day!* card one: ((x + 2)(x + 4)) card two: ((y + 5)(y …
Card One: $\boldsymbol{x^2+6x+8}$ Card Two: $\boldsymbol{y^2+6y+5}$ Card Three: $\boldsymbol{28x^2 -xy -2y^2}$ Card Four: $\boldsymbol{4r^2 - s^2}$ Card Five: $\boldsymbol{a^2 +6a…
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find the missing lengths and angle measures in kite abcd. 1. ac 2. cd 3…
The length of \(AC\) is \(\boldsymbol{40}\). ### Problem 2: Kite \(ABCD\) (Finding \(CD\))
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the measures of the angles of a triangle are shown in the figure below.…
\(22\)
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 7\)
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use the diagram to the right to find ( mangle a ).( mangle a = square^{…
$24$
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name the isosceles triangles in the figure. select all the isosceles tr…
A. $\Delta UWY$, D. $\Delta UVZ$, E. $\Delta WXZ$
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) 8.ee.6 consider the graph shown. choose true or false for each statem…
### Part a # Explanation: ## Step 1: Find coordinates of points From the graph, let's assume the coordinates: \( A(3, 7) \), \( D(5, 4) \), \( A(3, 7) \), \( F(9, 0) \). The slope…
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13) 15) solve each triangle. round 17) 19) 21) 23)
Let's solve each triangle one by one (we'll take problem 13 as an example first, and you can follow the same method for others): ### Problem 13: We have a right triangle \( \trian…
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prove the following statement. if $\\triangle abc \\sim \\triangle def$…
1. First dropdown: congruent 2. Second dropdown: proportional 3. The proof confirms $\Delta ABC \sim \Delta GHK$ as required.
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identify the antecedent underline the pronoun and circle or highlight i…
1. Underline: **her**, **she**, **it**; Highlight antecedents: *Maria*, *project* 2. Underline: **its**; Highlight antecedent: *The dog* 3. Underline: **their**; Highlight anteced…
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use each graph to solve the system of linear equations. 2. 3. 4.
2. The solution is $x=2$, $y=-3$ or the point $(2, -3)$ 3. The solution is $x=4$, $y=1$ or the point $(4, 1)$ 4. No solution (the lines are parallel and never intersect)
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applications 3. a square of an unknown side length ( x ) inches has one…
### Part (a) # Explanation: ## Step1: Identify the new dimensions The original square has side length \( x \). One side is increased by 4, so the new length is \( x + 4 \), and th…
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13. find ( mangle vwz )
$27^\circ$
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14. find ( mangle dhg ).
$114^\circ$
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the equation of a circle is given below. identify the radius and the ce…
Radius: \(4\) Center: \((-4,-2)\)
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for exercises 1–4, find the sum of the interior angles and the measure …
Sum of interior angles: \(1800^{\circ}\), Each interior angle: \(150^{\circ}\) ### Exercise 2: 102 - gon
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the equation of a circle is given below. identify the radius and the ce…
Radius: \(\frac{11}{2}\) Center: \((-2, 1)\)
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example: name two linear pairs using the diagram below.
1. $\angle 1$ and $\angle 2$ 2. $\angle 2$ and $\angle 3$ *(Other valid pairs include $\angle 3$ and $\angle 4$, $\angle 4$ and $\angle 1$)*
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find \\(\\vec{a} \\times \\vec{b}\\) and the angle \\(\\theta\\) betwee…
$\vec{A} \times \vec{B} = -132\hat{i} - 275\hat{j} - 325\hat{k}$ $\theta \approx 72^\circ$ (rounded to nearest whole number, or $71.6^\circ$ for more precision)
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write an equation of the circle with center (-3, -2) and radius 9.
The equation of the circle is \((x + 3)^2+(y + 2)^2 = 81\)
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molly was curious if quadrilaterals (abcd) and (efgh) were congruent, s…
B. One more transformation – a reflection – would map ABCD onto EFGH. So the quadrilaterals are congruent.
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find wx in rectangle vwxy. w v 7a+32 a+68 x y 4a-5 wx =
$\frac{607}{3}$
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triangle inequalities review! solve the following inequalities. watch o…
1. $x > 7$ 2. $x < 11$ 3. $x < \frac{14}{5}$ (or $x < 2.8$) 4. $x > 6$ 5. $4 < x < 14$ 6. $13 < x < 21$
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find wx in rectangle vwxy. w v 7a+32 a+68 x 4a-5 y wx =
$\frac{607}{3}$ (or $202\frac{1}{3}$ as a mixed number)
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find ( mangle s ) in rhombus ( qrst ). ( mangle s = square^circ )
$124^\circ$
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3. two complementary angles are expressed as 4x - 16 and 2x + 10. find …
Angle relationship: Complementary angles; this means the sum of the two angles equals $90^\circ$. Measure of first angle: $48^\circ$ Measure of second angle: $42^\circ$
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find ij in parallelogram ghij. the parallelogram ghij has side ij label…
$4(9)+23 = 36 + 23 = 59$ $IJ = 59$
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find the value of s in parallelogram abcd.
$s = 8$
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5.qr.2.1 1. what is the area of the rectangle below? 3.5 cm 10.1 cm ___…
38.38 square centimeters
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find the measure of each lettered angle. a = b = c = d = e =
$a = 20^\circ$ $b = 90^\circ$ $c = 70^\circ$ $d = 110^\circ$ $e = 180^\circ$
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find the value of v that makes quadrilateral rstu a parallelogram. v =
$43$
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can you show that this quadrilateral is a parallelogram? yes no
yes
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can you show that this quadrilateral is a parallelogram? yes no
yes
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find the values of x and y. (the image shows a coordinate - like diagra…
\(x = 17\) \(y = 14\)
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can you show that this quadrilateral is a parallelogram? 62° 118° 62° y…
yes
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find the value of x that makes quadrilateral stuv a parallelogram.\ \ \…
$39$
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can you show that this quadrilateral is a parallelogram? yes no
yes
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i) find the value of y that makes quadrilateral fghi a parallelogram. h…
$4$
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one angle of a parallelogram measures 136°. what are the measures of th…
$44^\circ$, $136^\circ$, and $44^\circ$
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two angles of a quadrilateral measure 47° and 279°. the other two angle…
$12^\circ$ and $22^\circ$
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one angle of a parallelogram measures 60°. what are the measures of the…
$60^\circ$, $120^\circ$, and $120^\circ$
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4. which graph represents the equation $-4x^{2}+8y + 7 = 0$?
The correct graph is an upward-opening parabola with vertex at $(0, -\frac{7}{8})$ (matching the equation $y = \frac{1}{2}x^2 - \frac{7}{8}$; the provided partial options do not i…
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two angles of a quadrilateral measure 258° and 56°. the other two angle…
$20^\circ$ and $26^\circ$
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3. which conic section is represented by the equation $36x^{2}+8y^{2}=8…
Ellipse
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a quadrilateral has two angles that measure 259° and 23°. the other two…
$12^\circ$ and $66^\circ$
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2. which conic section is represented by the equation $x^2 - 8y + y^2 +…
Circle
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one angle of a parallelogram measures 29°. what are the measures of the…
$29^\circ$, $151^\circ$, and $151^\circ$
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question 8 ray is constructing a flowerbed for the zoo and wants to kno…
41 ft
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4.) a parallelogram has one angle that measures 14°, what are the measu…
$14^\circ$, $166^\circ$, and $166^\circ$
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question 7 which set of side lengths can be used to form a right triang…
30, 40, 50
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1. which graph corresponds to the equation $x^2 - y^2 = 16$?
The first graph (the hyperbola opening left and right with vertices at $(\pm 4, 0)$, scaled to the grid shown)
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a quadrilateral has two angles that measure 167° and 117°. the other tw…
$12^\circ$ and $64^\circ$
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question 6 what is the length of the diagonal of the rectangle? 17 12.7…
21.25
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question 5 this is a diagram of a ramp that will be constructed in one …
16 in.
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two angles of a quadrilateral measure 70° and 120°. the other two angle…
$80^\circ$ and $90^\circ$
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) one angle of a parallelogram measures 95°. what are the measures of t…
$85^\circ$, $95^\circ$, and $85^\circ$
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one angle of a parallelogram measures 100°. what are the measures of th…
$80^\circ$, $100^\circ$, and $80^\circ$
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11. find ( mangle gjk ).
$56^\circ$
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if $vx = a + 14$ and $vz = 15a$, find the value of $a$ that makes quadr…
$a = 1$
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quadrilateral abcd is a parallelogram. de = 6.1 cm and m∠dab = 120°. wh…
10 ### What is \( m\angle BCD \)?
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can you show that this quadrilateral is a parallelogram? yes no
no
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10. if de = 4x + 1, eb = 12x - 31, and cd = 28, find ad.
$2\sqrt{93}$ (or approximately 19.29)
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find the value of y that makes quadrilateral efgh a parallelogram. 8y, …
$5$
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1) find the value of p that makes quadrilateral vwxy a parallelogram. y…
$13.2$