Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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triangle mno is the image of triangle mno under a translation left 3 un…
Translation: \((x,y)\to\boldsymbol{(x - 3,y - 6)}\) Rotation: \((x,y)\to\boldsymbol{(-x,-y)}\) (or \((x,y)\to(-x,-y)\) which is \(180^{\circ}\) rotation about the origin)
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find the value of t. 14.8 in 8.5 in perimeter = 38.1 inches t = inches
\( 14.8 \)
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ad = db and ae = ec. ef = 5 and m∠aed = 32°. a d e b f c m∠ecf = ?°
\( 32 \)
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6. what is the same as writing that \angles 5 and 6 are supplementary a…
Angles 5 and 6 are next to each other and sum up to \(180^\circ\).
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area and volume investigating the effects on the area for non - proport…
\( 90 \) ft \( \times \) \( 60 \) ft \( = \) \( 5400 \) \( \text{ft}^2 \) ### Part (b)
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in this picture, b, d, and f are midpoints. ac = 50, ce = 60, and bd = …
25
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what is the perimeter of this square? image of a square with side lengt…
The perimeter of the square is 72 millimeters.
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4. which two figures represent circles of the same size? 22.5 c 22 d 45…
B. C and G
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find the value of n. top base: 3.8 in two equal sides: n bottom base: 1…
\( 7.1 \)
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find the value of x. there is a diagram with point u. from u, there are…
# Explanation: ## Step1: Identify straight angle A straight angle is \(180^\circ\), but here we have angles around a point? Wait, no, PT and Q are parallel? Wait, actually, the su…
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look at this parallelogram. find the value of y. 4.9 mi perimeter = 45.…
17.7
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what is the area of the shaded region? 83 yd 88 yd 54 yd 54 yd write yo…
2194
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what is the perimeter of this parallelogram? 2 ft 20 ft ______ feet
44
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graph the line $x = 8$.
To graph \( x = 8 \), draw a vertical line passing through the point \( (8,0) \) (and all other points with \( x = 8 \)) on the coordinate plane, parallel to the \( y \)-axis.
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what is the perimeter? 17 km 17 km 19 km kilometers submit
53
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find the equation that represents the proportional relationship in this…
\( y=\frac{1}{5}x \) (or \( y = 0.2x \))
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what is the perimeter of this rectangle? 18 ft 5 ft blank feet submit
46
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section 2 each question carries 3 mark (3*3=9) 5) p (3,1) and q (-1, a)…
\(a = 4\) or \(a=-2\)
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look at this rectangle. find the value of s. 10 mm perimeter = 44 milli…
\( s = 12 \) millimeters.
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read the paragraph. alima had been ______ anticipating the chess match …
The option with "studiously" (the third option, as per the visible circles; the text option is "studiously").
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what is the perimeter of this rectangle? 10 yd 6 yd yards submit
32
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determine solution (text near the chart, and a penguin image below the …
The solution (intersection point) of the two lines is \((-2, -1)\) (or based on correct grid reading, maybe (0,0) was wrong; rechecking, maybe the intersection is at ( -2, -1) or …
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(a) there are three proportions below. the ratios in each proportion co…
Each pair of side lengths compared is in the same ratio. This is because the side lengths in each pair are lengths of corresponding sides and the triangles are similar. ### Final …
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graph the line $y = -6$.
The graph of \( y = -6 \) is a horizontal line parallel to the \( x \)-axis, passing through all points with \( y \)-coordinate \(-6\) (e.g., \((0, -6)\), \((1, -6)\), \((-1, -6)\…
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2. what is the degree of the angle a in the picture below? options: 180…
\(180^\circ\) (the option with "180°")
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for each line, determine whether the slope is positive, negative, zero,…
Line 1: Negative Line 2: Undefined Line 3: Negative Line 4: Zero (Note: For each line, select the corresponding option: Line 1: Negative, Line 2: Undefined, Line 3: Negative, Line…
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the perimeter of a rectangle is 148 feet. its two longest sides add up …
a. 31 feet
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options b, c, d with graphs of lines on coordinate grids. b: two lines,…
B (the graph labeled B)
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both circles have the same center. what is the area of the shaded regio…
17411.06
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(a) complete the three pairs of proportions below. ratio of lengths of …
In each pair of proportions, the lengths of the sides of $\triangle ABC$ are in the same ratio as the lengths of the sides of $\triangle XYZ$. This is because we compared the side…
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3x + y = -3
To graph $3x + y=-3$ (or $y=-3x - 3$), plot the y - intercept $(0,-3)$ and the x - intercept $(-1,0)$ (or use the slope to find another point like $(1,-6)$) and draw a straight li…
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fill in the blanks below. (a) find the slope of the line passing throug…
(a) slope: undefined (b) slope: undefined
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grafica la linea: $y + 1 = -\frac{1}{3}(x - 2)$
To graph the line \( y + 1=-\frac{1}{3}(x - 2) \), we can use the point - slope form to identify a point \( (2,-1) \) and the slope \( -\frac{1}{3}\) to find other points. Then pl…
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(a) there are three proportions below. the ratios in each proportion co…
### Part (a) #### First Proportion: $\boldsymbol{\frac{AB}{?} = \frac{1}{4}}$ - From the triangles, $AB = 3$ and $DE = 12$. Let's check the ratio: $\frac{AB}{DE} = \frac{3}{12} = …
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similarity relationships about ratios within and between (a) there are …
- (a) $\frac{AB}{PQ} = \boldsymbol{\frac{2}{3}}$; $\frac{AC}{\boldsymbol{PR}} = \boldsymbol{\frac{2}{3}}$; $\frac{BC}{\boldsymbol{QR}} = \frac{2}{3}$ - (b) Each pair of side lengt…
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the points (6, r) and (10, -6) lie on a line with slope $-\\frac{1}{4}$…
\( r = - 5 \)
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answer each question below. (left image: figure b and figure a on a coo…
Reflect Figure A over the \(y\) - axis ### Second Sub - Question (Figure C and Figure D)
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23. (20) in a division problem, if the divisor is 3 and the quotient is…
27 ### Question 24
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find the slope of the line passing through the points (-4, -3) and (8, …
\(-\frac{1}{2}\)
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solve for x and graph the solution on the number line below. 10 + x > 3…
Inequality Notation: $x > -7$ Number Line: Open circle at -7, shaded to the right.
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circle the adverb. then, draw an arro connecting the adverb to the verb…
1. Adverb: quickly (circle), arrow to grew. 2. Adverb: outside (circle), arrow to falling. 3. Adverb: soon (circle), arrow to have. 4. Adverb: brightly (circle), arrow to twinkle.…
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graph the line $y = -3$.
The graph of \( y = - 3 \) is a horizontal line parallel to the \( x \)-axis, passing through all points with \( y \)-coordinate \(-3\) (e.g., \((0, - 3)\), \((1, - 3)\), \((-1, -…
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both circles have the same center. the circumference of the inner circl…
The area of the shaded region is approximately \(\boldsymbol{862.65}\) square centimeters (or 863 if rounded to the nearest whole number).
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in the figure, $m\\angle 1 = (5x)\\degree$ and $m\\angle 2 = (x + 18)\\…
\(5x+(x + 18)=180\) (or equivalent like \(6x + 18=180\)) ### Part (b)
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question translate the figure 3 units left and 1 unit down. plot all of…
(The answer involves plotting the translated points. The key is to apply \( (x - 3, y - 1) \) to each vertex of the original figure and plot the new points. The specific coordinat…
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find the y-intercept and the x-intercept of the line below. click on on…
(a) y-intercept: 1 (b) x-intercept: -1
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if the perimeter of a square is 72 inches, what is its area? a. 72 in.²…
b. 324 in.²
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in the figure, $m\\angle 1 = (x + 78)\\degree$ and $m\\angle 2 = (2x)\\…
\(x + 78 + 2x = 180\) ### Part (b)
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graph the line. ( y = 2x )
To graph \( y = 2x \), plot the points \((0,0)\) and \((1,2)\) (or other points found using the equation) and draw a straight line through them. The line passes through the origin…
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20. what is the length of segment vt? figure 1 (image of a rectangle rs…
5
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find the slope of the line graphed below.
\(-\frac{5}{7}\)
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find the perimeter of the rectangle. the drawing is not to scale 47 ft …
b. 208 feet
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in the figure, $m\\angle 1 = (5x)\\degree$ and $m\\angle 2 = (x - 6)\\d…
\( 5x+(x - 6)=90 \) (or \( 6x-6 = 90 \)) ### Part (b)
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19. a kite is flying attached to a string that is 150 ft long. the stri…
The kite is flying at a height of \(75\sqrt{2}\) ft (or approximately \(106.07\) ft)
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18. how tall is the tree? tan(\\theta) = \\frac{20}{50} options: 50 fee…
20 feet (the option with "20 feet")
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area and volume distinguishing between surface area and volume e figure…
s: (a) - Volume: \( 1080\ ft^3 \) - Surface area: \( 636\ ft^2 \) (b) Surface area (c) Volume
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the figure below shows a hollow box in the shape of a rectangular prism…
Volume ### Part (c)
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make a graph on the number line that represents the inequality x ≤ 5. -…
To graph \( x \leq 5 \): 1. Place a **closed (filled) circle** at \( 5 \) on the number line (move the red dot to the position labeled \( 5 \)). 2. Click (shade) the **left side**…
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the figure below shows a brick in the shape of a rectangular prism. (6 …
Surface area ### Part (c)
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the figure below shows a juice box in the shape of a rectangular prism.…
(a) Volumen: \( 770 \, \text{cm}^3 \), Área de superficie: \( 514 \, \text{cm}^2 \) (b) Surface area (c) Volume
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the figure below shows a shed in the shape of a rectangular prism. note…
### Part (a) #### Surface Area Calculation The formula for the surface area \( SA \) of a rectangular prism is \( SA = 2(lw + lh + wh) \), where \( l = 6 \) ft, \( w = 3 \) ft, an…
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the height of isometrics eraser can be described by the following graph…
The eraser with height values given in the table (starting at \( h = 14 \) when \( t = 0 \)) was dropped from a higher point. (Or, if we consider the two curves, the upper curve's…
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if $m\\angle gih = m\\angle gih = 44^\\circ$ and $gi = 37$, what is $gh…
\( 37 \)
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31. two sides of a triangle measure 3 meters and 8 meters. write an ine…
The inequality representing the perimeter \(P\) of the triangle is \(16 < P < 22\)
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what is st? st = submit work it out
\( 67 \)
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practice & problem solving leveled practice in 6 and 7, fill in the box…
For the boxes: First box: \( 5 \), Second box (the circle): \( < \), Third box: \( 5 \); Then the next circle: \( < \), and the last box: \( 2 \). So filled as \( x + 5 - \boldsym…
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bridgette is admiring a statue in millersburg park. the statue is 7 met…
\( 8.6 \)
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if qr = qt = 96 and m∠qsr = 41°, what is m∠qst? m∠qst = \\boxed{\\space…
\( 41 \)
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in greenpoint, the library is due south of the courthouse and due west …
20
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three ballet dancers are positioned on stage. austen is straight behind…
12
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a regular hexagon is shown below. suppose that the hexagon is rotated c…
\( 60 \)
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mrs. hogan is teaching a 5th grade class. she is standing 5 meters in f…
12
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1) jessica ran the width of a field, a distance of 55 meters. then she …
Approximately \(\boxed{94}\) meters (or more precisely \(\approx 93.8\) meters, but likely rounded to whole number as 94).
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perry is building a wheelchair ramp onto his porch. if the ramp begins …
24
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from a train station, one train heads north, and another heads east. so…
55
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17. the angle of elevation of the sun is 68° when a tree casts a shadow…
35.4 m (corresponding to the option "35.4 m")
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3 a student finds that a regular polygon has no interior angles greater…
3
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the floor of a rectangular living room is 16 feet by 12 feet. what is t…
20
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problem 6 write an inequality in terms of x that represents the graph. …
\( x < 10 \)
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after school, duncan skateboards directly from school to a candy store …
15
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16. what is the length of segment fg? image of a triangle with right an…
10.49
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mrs. lambert is teaching a 5th grade class. she is standing 6 meters in…
8
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for each figure below, determine if it has rotational symmetry. if it d…
Rotational symmetry? Yes Angle? \( 72^\circ \) ### Right Figure (Heptagon - 7 - sided polygon)
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problem 5 write an inequality in terms of x that represents the graph. …
\(x\geq - 5\)
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for each figure below, determine if it has rotational symmetry. if it d…
Rotational symmetry? Yes Angle? $72^\circ$ ### Right Figure (Octagon - 8 - sided polygon)
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for each part below, use the figure to fill in the blank. if necessary,…
(a) \( m\angle M = \boxed{60}^\circ \) (b) \( m\angle Q = \boxed{75}^\circ \)
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10) line m is represented by $y = \\frac{3}{5}x - 3$. match each equati…
- \( y = -1\frac{2}{3}x + 3 \): perpendicular - \( y = -0.6x + 3 \): neither parallel nor perpendicular - \( y = 0.6x + 3 \): parallel
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use the given information to prove that $\\triangle pqr \\cong \\triang…
3. Reason: All right angles are congruent; 4. $\overline{TR}$; 5. $\angle SRT$; 6. Reason: AAS (Angle - Angle - Side) Congruence Criterion
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19 find the length of \\(\\overset{\\frown}{cd}\\) to the nearest hundr…
37.70
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10) line n is represented by $y = \\frac{3}{5}x - 3$. match each equati…
\(51\)
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use the given information to prove that $\\triangle pqr \\cong \\triang…
1. \(\overline{SR}\) 2. Given 3. \(\angle TRS\) 4. SAS Congruence Criterion
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in the triangle below, with right angle \\( \\angle b \\), suppose that…
\(m\angle A = \boldsymbol{48}^\circ\) \(m\angle B = \boldsymbol{90}^\circ\) \(m\angle C = \boldsymbol{42}^\circ\)
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21 write and solve an equation based on the diagram. then find the meas…
C. \((x + 16)^\circ=(4x - 5)^\circ\); the angles are each \(23^\circ\)
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22 part a create an equation and solve for x: image of angle diagram wi…
(Part A): \( x = 2 \)
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find the value of x. (there is a triangle with an exterior angle of 145…
\(x = 97\)
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complete the proof that δwyz ≅ δywx. (image of a quadrilateral wxyz wit…
- For step 4, the correct reason is "All right angles are congruent". - For step 6, the reason is "AAS (Angle - Angle - Side) Congruence Theorem".
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23 a square is always a rectangle. (refer to the quadrilateral hierarch…
A. True
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8) what is the value of x? (image of two parallel lines cut by a transv…
105 ### Question 9:
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24 a trapezoid always has two congruent sides. (refer to the quadrilate…
B. False
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find the value of x. triangle with angles 60°, 38°, and x° x = blank bo…
\(x = 92\)