Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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find the total area of the figure. a = \\square square yards
47 square yards
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1 the perimeter of a rectangle is 64n inches. its width is 12n inches. …
A. 20n inches
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16. if the figure below is a regular polygon, find the value of x. (10x…
\( x = 13.6 \)
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classify each figure as a line, ray, or line segment. then, show how to…
Type: line How to write it: $\overleftrightarrow{BA}$ (or $\overleftrightarrow{AB}$)
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find fg and fi in rectangle fghi. fg = fi =
$FG = 9$ $FI = 3$
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17. find the value of x.
\(x = 12\)
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2. what is the sum of the measures of the interior angles of a 27 - gon?
The sum of the measures of the interior angles of a 27 - gon is \( 4500^{\circ} \).
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find dg in rectangle defg. dg = submit
36
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find ( mangle u ) in rhombus ( tuvw ).
$128$
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segments and angles naming segments, rays, and lines classify each figu…
| Figure | Type | How to write it | |---|---|---| | (a) | ray | $\overrightarrow{BA}$ | | (b) | ray | $\overrightarrow{FE}$ | | (c) | line segment | $\overline{DC}$ |
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find ef in parallelogram efgh. ef = submit
33
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find ( mangle r ) in rhombus ( qrst ). ( mangle r = square^circ )
$97.2^\circ$
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find tu in parallelogram rstu. tu = submit
21
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find ( mangle k ) in rhombus ( hijk ). ( mangle k = square^circ )
$120^\circ$
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9. what is the measure of each exterior angle of a regular 20 - gon?
The measure of each exterior angle of a regular 20 - gon is \(18^\circ\).
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question solve for ( x ) and graph the solution on the number line belo…
$x < -8$ For the number line graph: 1. Draw an open circle at $-8$ (since the inequality is strict, $x$ cannot equal $-8$). 2. Draw an arrow pointing to the left from the open cir…
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8. what is the sum of the measures of the exterior angles of a nonagon?
The sum of the measures of the exterior angles of a nonagon is \(\boldsymbol{360^\circ}\).
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find cf in parallelogram cdef. cf = submit
24
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if vw = 7u - 89 and vy = u + 25, find the value of u in parallelogram w…
$u = 19$
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is the area of rectangle abcd a rational or irrational value? rational …
A. Rational
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find the value of x in parallelogram qrst. t x - 13 q s 2x - 45 r x = s…
$x=32$
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7. the sum of the interior angles of a polygon is 3960°. how many sides…
The polygon has 24 sides.
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6. the sum of the interior angles of a polygon is 1620°. how many sides…
The polygon has 11 sides.
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enter the measure of the angle. degrees
46
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for exercises 1–4, if the two triangles are similar, state why they are…
1. Not similar 2. Not similar 3. Not similar 4. Similar by SAS similarity (common angle, proportional sides) 5. $12$ 6. $21.6$ 7. $20$ 8. $2$ 9. Yes, all three are similar. They a…
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the volume of a cone is 36π cubic units. what is the volume of a cylind…
$108\pi$
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review what is the tangent ratio of $\\angle dwx$ $\\bigcirc\\frac{2}{2…
\(1\)
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figurative language to describe the blizzard. under the weight of snow,…
A. a forgetful person.
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what is the volume of this square pyramid? 48 cm³ 96 cm³ 144 cm³ 288 cm³
\( 48 \, \text{cm}^3 \) (corresponding to the option with \( 48 \, \text{cm}^3 \))
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what is the volume of this pyramid? 945 cm³ 1260 cm³ 1890 cm³ 2520 cm³
1260 $cm^3$ (corresponding to the option "1260 $cm^3$")
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hint the measure of the angle can be calculated as 6·11.5 - 25 degrees.…
44
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a transformation of δdef results in δdef. which transformation maps the…
The transformation is a dilation.
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proof reasons practice match the statement with the property. 1. if $\\…
## Matching Section: 1. C. CPCTC 2. D. Third Angles Theorem 3. A. Reflexive Property 4. B. Transitive Property ## Angle Measure Section: 5. $m\angle 2 = 126^\circ$, Reason: Linear…
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192 29. find the perimeter of this trapezoid. dimensions are in meters.…
30 meters --- ### Problem 30
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reflections practice name: fill in the table and graph the image for ea…
### 1) Reflection across the x-axis table: | Preimage (x,y) | Image (x,y) | |----------------|-------------| | $M(-4,5)$ | $M'(-4,-5)$ | | $D(1,5)$ | $D'(1,-5)$ | | $A(4,3)$ | $A'…
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a composition of transformations maps δklm to δk\l\m\. the first transf…
D. a 270° rotation about point P
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which composition of transformations maps figure rstuv to figure rstuv?…
a reflection across line \(n\) followed by a 270° rotation about point \(P\)
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teacher: thursday solve the equation: $34 = 2m - 8$ expand the followin…
1. $m=21$ 2. $\frac{1}{2}x - 2$ 3. $2x + 10y - 10$ 4. $m=3$ 5. Free shipping is cheaper. 6. $x < 6$ 7. $x \leq -1$ 8. $w \leq 5$ (graph: closed circle at 5, arrow left)
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the rule $r_{y - axis} circ r_{o, 90^{circ}}(x, y)$ is applied to $\tri…
1. Triangle 1
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a composition of transformations maps δxyz to δxyz. the first transform…
a reflection across line $m$
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triangle jkl is transformed using the rule ( r_{o, 90^circ} circ r_{y =…
(4, -7)
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parallelogram fghj is the final image after the rule $r_{y - axis} circ…
(-3, 4)
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a popular online shaving club charges a $12 per month fee plus $1.50 pe…
1. $y = 1.50x + 12$ 2. $6x$ 3. Distributive Property 4. $p = -3$
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figure wxyz is transformed using the rule $r_{y-axis} \\circ t_{-4, 2}(…
D. (3, 8)
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a store is selling candy for $6 for 12 bags. how much will it cost if y…
1. $\$55$ 2. $m > 35$ 3. $x \geq 2$ 4. (Open circle at 6, arrow pointing left on number line)
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solve the equation: \\(\frac{x}{2} - 3 = 17\\) circle the common factor…
1. $x=40$ 2. 2, 4, $m$, $2m$, $4m$ 3. $23x + 12y + 12$ 4. $k=\frac{42}{13}$
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solving for angle measures given: the labeled angles form a right angle…
\((6x - 25)+4x = 90\)
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jim wants to put carpet in four identical rooms. each room is 14 ft by …
6
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14. what integer is missing from the number line below? 15. what intege…
14. $-4$ 15. $-7$ 16. $-\frac{1}{2}$ (or $-0.5$) 17. $-1$ (it is the midpoint of -2 and 0, splitting the segment into two equal parts) 18. a. $<$ b. $>$ c. $<$ 19. a. $<$ b. $>$ c…
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find the perimeter of the shape below: 2m+10 2m 2m+7 2m 2m+10 solve
The perimeter of the shape is \(\boldsymbol{10m + 27}\)
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statements reasons 1. $\\angle cxh \\cong \\angle pwd$ 1. given 2. $\\a…
2. Vertical Angles Congruence Theorem 4. Definition of supplementary angles 6. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a paral…
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watch the video below to learn how the properties of different quadrila…
$\triangle RWK \cong \triangle KGR$ is proven by the SSS Congruence Postulate, using properties of parallelograms and the reflexive property of congruence. ### Two-Column Proof Fo…
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which two triangles are congruent? complete the congruence statement. \…
$\triangle IHG \cong \triangle UMW$
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which rule explains why these triangles are congruent? options: sss, as…
ASA
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ure of each angle. 60°, ( mangle u = (7 + 5x)^circ ) and ( mangle p = (…
s (for solved parts): - For \( \triangle AMT \): \( \angle A = 64^\circ \), \( \angle T = 26^\circ \), \( \angle M = 90^\circ \) - For \( \angle U, \angle P \) problem: \( x = 14 …
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which rule explains why these triangles are congruent? asa aas sss sas …
These triangles cannot be proven congruent with the given information.
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13. use $\\triangle amt$ at the right. a. solve for $x$. b. find the me…
\( x = 103 \)
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enter the measure of the angle. degrees
31.5
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in the figure below, g || n. find the values of x and z.
\( x = 81 \), \( z = 41 \)
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hint the measure of the angle can be calculated as 7·4.5 degrees. previ…
31.5
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dibuja una línea que represente la \elevación\ y una línea que represen…
# Explicación: ## Paso1: Seleccionar dos puntos de la recta Elegimos los puntos $(0, 1)$ y $(1, -4)$ que pertenecen a la recta. ## Paso2: Aplicar fórmula de la pendiente La fórmul…
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enter the measure of the angle. degrees
10.5
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15. a bottled water company charges $9 per month for a water cooler. th…
| Number of Bottles of Water Used | Total Cost (dollars) | |----------------------------------|----------------------| | 0 | 9.00 | | 1 | 14.95 | | 5 | 38.75 | | 10 | 68.50 | --- …
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dibuja una línea que represente la elevación y una línea que represente…
$-5$
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practice & problem solving leveled practice in 8 and 9, complete the st…
314 square feet ### Problem 9 (Circle with diameter 10 yd)
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question: dimitri wants to change the shape of a button from a rectangl…
C. The border radius
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3. the rectangle is made up of two smaller rectangles. which expression…
B. $3(x+2)$ F. $3(x)+3(2)$ G. $3x+6$ --- ### Problem 4
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name 1. the rectangle is made up of two smaller rectangles. image of a …
1. a. $\boldsymbol{5(p + 9)}$ b. $\boldsymbol{5p + 45}$ 2. A. $3(12)-3(2)$, D. $3(10)$, E. $3(12-2)$, F. $30$, G. $36-6$
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the two labeled angles are adjacent angles. that means that their measu…
\(7x+(9x - 3)=69\)
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joey made a scale drawing of an italian restaurant. the scale he used w…
$\frac{3}{100}$
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multiple-choice question when reflecting over the x axis the x coordina…
the x coordinate stays the same
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5. in triangle mno, ∠n is 5 times the measure of ∠m, and ∠o is 4 times …
$\angle M = 18^\circ$ $\angle N = 90^\circ$ $\angle O = 72^\circ$
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joel made a scale drawing of a boarding school. a building at the schoo…
5
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luna drew a scale drawing of the high school. the parking lot, which is…
9
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plete the statements about the relationship between the two labeled ang…
The value of \(x\) is \(20\), the measure of the angle \((2x)^\circ\) is \(40^\circ\) and the measure of the angle \((4x - 30)^\circ\) is \(50^\circ\).
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multiple-choice question do you have to use roman numerals when labelin…
No
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4. in triangle jkl, angle j is (x + 8)°, angle l is (2x - 3)°, and the …
$\angle J=28^\circ$, $\angle K=115^\circ$, $\angle L=37^\circ$
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for the triangles below, use the tools to move the solid triangle exact…
To solve this, we analyze the triangles: 1. Observe the shapes: The solid triangle \( \triangle JKL \) and dashed \( \triangle FGE \) have the same shape (congruent, as they are t…
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the two labeled angles are complementary angles. that means that their …
\(2x + (4x - 30) = 90\)
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3. triangle ghi with angles (16x)°, (16x)°, and (13x)° at vertices g, h…
$\angle G=64^\circ$, $\angle H=64^\circ$, $\angle I=52^\circ$
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points a and b are midpoints of the sides of triangle qrs. what is sa? …
4 m
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triangle similarity theorems using the side - splitter theorem, daniel …
2.4 units
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points o and n are midpoints of the sides of triangle def. what is dm? …
38 cm
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which pair of angles shares ray af as a common side? ○ ∠daf and ∠dab ○ …
D. \( \angle BAF \) and \( \angle FAD \)
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points s and t are midpoints of the sides of triangle fgh. what is gf? …
16 cm (corresponding to the option with "16 cm")
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which is the endpoint of a ray? point r point s point t point u
point S
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which is the definition of a ray? a part of a line that has one endpoin…
A. a part of a line that has one endpoint and extends indefinitely in one direction
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which is defined using the undefined terms point and line? ○ angle ○ ci…
D. ray (assuming the options are labeled A: angle, B: circle, C: parallel lines, D: ray)
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triangle similarity theorems what is the perimeter of △aeb? 22.9 ft 18.…
18.5 ft
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which figure represents an undefined term?
The fourth figure (with points X and Y and arrows on both ends)
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using the side - splitter theorem, which segment length would complete …
GJ
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which pair of undefined terms is used to define a ray? line and plane p…
D. point and line
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d graph the line $2x + 5y = -10$, following the
To graph the line \(2x + 5y=- 10\), we can find the \(x -\)intercept and \(y -\)intercept. ### Step 1: Find the \(y -\)intercept The \(y -\)intercept is the point where \(x = 0\).…
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which undefined term is used to define an angle? line plane point ray
C. point
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the definition of a circle uses the undefined term ______. arc line pla…
C. plane
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for the triangles below, use the tools to move the solid triangle exact…
s: #### (a) \( \angle K \cong \boldsymbol{\angle E} \) \( \angle L \cong \boldsymbol{\angle F} \) \( \angle J \cong \boldsymbol{\angle G} \) #### (b) \( \overline{KL} \cong \bolds…
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find the missing information. arc length ? in radius 2 in central angle…
50
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which point is the center of the circle? ○ point w ○ point x ○ point y …
point X
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using triangle similarity theorems what is the length of \\(\\overline{…
8.75 in.
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using triangle similarity theorems what is the length of \\(\\overline{…
3 units