Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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△abc is the image of △abc under a rotation about point b. determine the…
B. \( 90^\circ \) counterclockwise, D. \( 270^\circ \) clockwise
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two parallel lines, p and q, are cut by the transversal d as shown. sup…
(if finding \( m\angle1 \)): \( 40^\circ \)
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5. the slope of the line segment joining a (8, -3) and b (6, p) is \\(\…
B. \( -\frac{19}{5} \) ### Question 6
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introduction to similarity (tues 1/20) find the missing the side. 10 8 …
5
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introduction to similarity (tues 1/20) find the missing side length. 12…
20
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rosemary is cutting 3 wooden sticks to build part of a kite frame. the …
6, 8, 10
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introduction to similarity (tues 1/20) find the missing side length. 10…
16
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state whether the graph represents a function. draw
The graph does not represent a function.
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sam built a walkway out to a firepit in his backyard. he used square st…
13
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indicate whether or not each set of lengths can be used to form a right…
To determine if a set of lengths can form a right triangle, we use the Pythagorean theorem, which states that for a right triangle with legs \(a\) and \(b\) and hypotenuse \(c\) (…
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the diagram shows a triangle. what is the value of y? y =
\(y = 5\)
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the diagram shows a triangle. what is the value of c? c = ° submit
\(c = 26\)
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triangle def is shown below. what is the length, in centimeters, of \\(…
\( 8 \)
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find the distance between the points a and b given below. (that is, fin…
\(5.83\) (assuming the horizontal distance is 3 and vertical distance is 5, so the distance is \(\sqrt{3^2 + 5^2}=\sqrt{34}\approx5.83\))
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in the right triangle below, w is the hypotenuse, and u and v are the l…
D. \( w^2 = u^2 + v^2 \) (assuming the last option is D, as per the standard Pythagorean theorem statement for this triangle)
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find the distance between the points a and b given below. (that is, fin…
5.83
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which of these graphs represents a function? graph a graph b graph c gr…
B. B
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which graph shows a function and its inverse? options are labeled a, b,…
B (the graph in option B)
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determine the center and radius of the circle. $(x + 1)^2 + (y - 4)^2 =…
The center is $(-1, 4)$ The radius is $r=3$
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introduction to similarity (tues 1/20) are these figures similar? 6 80°…
No (the figures are not similar)
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a graphic artist has enlarged a rectangular photograph using a scale fa…
48
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you move left 2 units. you end at (3, 4). where did you start?
$(5, 4)$
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you move left 7 units. you end at (-3, -3). where did you start?
$(4, -3)$
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you start at (2, -2). you move right 3 units and up 4 units. where do y…
$(5, 2)$
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you start at (3, 3). you move right 2 units and left 7 units. where do …
$(-2, 3)$
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find the slope of the line graphed below.
$\frac{4}{3}$
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for each line, determine whether the slope is positive, negative, zero,…
Line 1: Positive Line 2: Undefined Line 3: Negative Line 4: Zero
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you start at (-2, 5). you move left 3 units and down 4 units. where do …
$(-5, 1)$
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you start at (2, -5). you move left 7 units and right 2 units. where do…
$(-3, -5)$
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you start at (-4, 0). you move left 1 unit. where do you end?
$(-5, 0)$
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you start at (3, -1). you move left 2 units and right 1 unit. where do …
$(2, -1)$
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you start at (3, 1). you move up 2 units and left 1 unit. where do you …
$(2, 3)$
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consider the line 5x - 8y = -7. find the equation of the line that is p…
Equation of perpendicular line: $8x + 5y = 46$ Equation of parallel line: $5x - 8y = -38$
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consider the line $y = -\frac{8}{5}x + 9$. find the equation of the lin…
Equation of parallel line: $y = -\frac{8}{5}x - \frac{34}{5}$ Equation of perpendicular line: $y = \frac{5}{8}x + 11$
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consider the line $y = -3x + 4$. find the equation of the line that is …
Equation of parallel line: $y=-3x+11$ Equation of perpendicular line: $y=\frac{1}{3}x+\frac{13}{3}$
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determine whether a triangle with the given side lengths is a right tri…
To determine if a triangle with given side lengths is a right triangle, we use the Pythagorean theorem, \(a^2 + b^2 = c^2\), where \(c\) is the longest side. Let's analyze each op…
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find an equation for the line that passes through the points (3, -6) an…
$y=-\frac{1}{2}x-\frac{9}{2}$ (or in standard form: $x+2y=-9$)
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select the correct answer. a small business averages $5,500 per month i…
A. (The graph with closed circle at 6 and arrow pointing to the right (increasing x))
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proving congruence (triangle congruence: sss and sas) classwork for exe…
1. 24. $\angle M$ 2. 25. $\overline{TM}$ and $\overline{TD}$ (assuming $D$ is the third vertex of $\triangle DGT$) 3. 26. $\angle G$ 4. 27. $\angle B \cong \angle G$ (or the inclu…
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vertical angles are always ____. total 180 degrees; adjacent angles; ac…
D. congruent (equal measures)
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what are vertical angles? angles that are adjacent to each other angles…
D. Angles that are opposite of each other when lines intersect
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the measures of the angles of a triangle are shown in the figure below.…
$x = 41$
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the measures of the angles of a triangle are shown in the figure below.…
$22$
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find the missing angle.
50
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name a pair of complementary angles. angle 4 and angle 5; angle 3 and a…
Angle 1 and Angle 2
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bd bisects ∠abc reason: given ∠abd ≅ ∠cbd reason: an angle bisector div…
The reason for \( \triangle ABD \cong \triangle CBD \) is ASA (Angle - Side - Angle) congruence criterion, as we have two pairs of congruent angles (\( \angle ABD \cong \angle CBD…
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use tools jeeran is making a rectangular banner for school. the dimensi…
The area of the banner is $2\frac{5}{8}$ square yards. The equation modeling the problem is $1\frac{1}{2} \times 1\frac{3}{4} = 2\frac{5}{8}$. For the visual model (the given rect…
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find the slope of the line in the graph below and enter in the blue box.
\(\frac{1}{2}\)
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2. a parallelogram has one angle that measures 175°. what are the measu…
The other angles measure $5^\circ$, $175^\circ$, and $5^\circ$.
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math 10 unit 4 applications of expanding and simplifying polynomials gi…
To find the area of the shaded region in such problems, we typically use the **subtraction method**: find the area of the larger shape and subtract the area of the unshaded (inner…
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proving congruence (triangle congruence: sss and sas) homework for exer…
37. $\boldsymbol{\angle P}$ 38. $\boldsymbol{\overline{PF}}$ and $\boldsymbol{\overline{FK}}$ 39. $\boldsymbol{\angle K}$ 40. $\boldsymbol{\overline{XY} \cong \overline{RS}}$ 41. …
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an ellipse has the equation \\(\frac{(x - 3)^2}{3^2} + \frac{(y + 5)^2}…
$\boldsymbol{\frac{x^2}{3^2} + \frac{y^2}{5^2} = 1}$ (Option 1)
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question show examples given (overline{bd}) bisects (angle abc), comple…
- \( \angle ABD \cong \angle CBD \): Definition of Angle Bisector - \( \angle ADB \cong \angle CDB \): All Right Angles are Congruent (or Definition of Perpendicular Lines) - \( \…
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Question was provided via image upload.
1. 14 square inches 2. 20 square feet 3. 22 square centimeters 4. 44 square yards 5. 40 square meters 6. 22 square inches
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4. find the circumference. 20.5 ft
64.37 feet
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answer the questions below. (a) the perimeter of a rectangular field is…
Width of the field: 81 m Length of the painting: 64 cm
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(a) the area of a rectangular parking lot is 4628 m². if the width of t…
Length of the parking lot: $89$ m Width of the pool: $59$ m
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the area of the largest square in the figure is ((g + h)^2). use this f…
$g^2 + 2gh + h^2$
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figure stuv is the result of a transformation on figure opqr. which tra…
A. translation 4 units left and 1 unit down
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do you understand? 1. does it take more inches or feet to equal a given…
It takes more inches. Because 1 foot equals 12 inches, so a smaller unit (inch) will be needed in greater quantity to equal the same length as a larger unit (foot). ### Question 2:
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the arrowhead choir is practicing for a show. to feel prepared, they wi…
(a) $\boldsymbol{4 < x < 6}$ (b) On the number line: - Draw an open circle at 4 and an open circle at 6. - Shade the segment of the number line that lies between these two open ci…
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a triangle has side lengths of (5m - 2n) centimeters, (7m + 10p) centim…
\(18p + 12m - 11n\) (the first option among the given choices)
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the three vectors shown are dimensionless (their lengths are pure numbe…
$\approx 13.7$
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eric is planning to run a marathon. as part of his training this week, …
(a) $10 < x < 15$ (b) On the number line: draw an open circle at 10, an open circle at 15, and shade the segment between these two points.
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the width of a rectangle measures $(9p + 7)$ centimeters, and its lengt…
\( 20p + 34 \) (corresponding to the option with this expression)
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find the missing angle: find the measure of ∠a: if two angles of one tr…
1. Missing angle: $100^\circ$ 2. Measure of angle 4A: $25^\circ$ 3. Blank: congruent 4. The triangles share a pair of congruent vertical angles at their intersection, and both hav…
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the width of a rectangle measures $(3b + 5)$ centimeters, and its lengt…
\( 22 + 22b \) (corresponding to the option "22 + 22b")
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a triangle has side lengths of $(7r - 10)$ centimeters, $(5r + 5)$ cent…
\(3 + s + 12r\) (the first option)
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wednesday in what direction will this arrow point after it is rotated 2…
1. The arrow will point downward (south). 2. (Rotated net: a 5-square net where the top square is now to the left of the first square in the horizontal row, the bottom square is t…
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todor was trying to factor $10x^2 - 5x + 15$. he found that the greates…
$2x^2 - x + 3$
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monday when the point (-3,2) is reflected across the y - axis, what are…
1. $(3,2)$ 2. A (0,4) 3. Reflection and translation 4. $2$
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in the coordinate plane shown, point b was transformed using the coordi…
The completed coordinate plane will have: - Origin (0,0) labeled as P - Point M=(2,0) plotted on the x-axis - Point N=(6,0) plotted on the x-axis - Segment $PB'$ connecting (0,0) …
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4. find the volume v of the set of points (x, y, z) satisfying 2z + 3 ≤…
$\frac{224}{3}\pi$
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find the distance between the two points in simplest radical form. (-8,…
The distance between the two points is \(\boxed{10}\).
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sean unfolded his table tent made of three rectangles and 2 equilateral…
B. 115.5 in²
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joel wants to fence off a triangular portion of his yard for his chicke…
7. No, because the side lengths do not satisfy the Pythagorean theorem: $8^2 + 15^2 eq 20^2$. 8. 40 feet 9. 21.5 minutes
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unit: pythagorean theorem homework 3 name date pd applying the pythagor…
1. 28 yards 2. 1260 calories 3. $\approx 282.8$ feet 4. $\approx 15.2$ feet 5. 21 inches 6. 400 units$^2$
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which equation represents the parabola shown on the graph?\\(\\bigcirc\…
\(x^{2}=6y\) (the fourth option: \(x^{2}=6y\))
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a parabola is represented by the equation $x^2 = 4y$. what are the coor…
\((0,1)\) (corresponding to the option: (0,1))
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a parabola is represented by the equation ( y^2 = 5x ). which equation …
\( x = -\frac{5}{4} \) (corresponding to the option: \( x = -\frac{5}{4} \))
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a parabola, with its vertex at (0,0), has a focus on the negative part …
A. The directrix will cross through the positive part of the \(y\)-axis. E. The equation of the parabola could be \(x^{2}=-\frac{1}{2}y\).
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a parabola can be represented by the equation $x^{2} = -20y$. what are …
D. \((0, - 5)\) (assuming the options are labeled as A. \((-5,0)\), B. \((5,0)\), C. \((0,5)\), D. \((0,-5)\))
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14) \\(cos c\\) \\(c\\)---30---\\(a\\) \\(c\\)---24---\\(b\\) (right an…
$\frac{4}{5}$
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a parabola, with its vertex at the origin, has a directrix at y = 3. wh…
A. The focus is located at \((0, - 3)\) D. The parabola can be represented by the equation \(x^{2}=-12y\)
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a parabola has a vertex at (0,0). the focus of the parabola is located …
B. the negative part of the x - axis
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solve this system of equations by graphing. first graph the equations, …
The solution to the system is $(-1, -4)$ (Graph points: For $y=3x-1$, plot $(\frac{1}{3}, 0)$ and $(0, -1)$ and draw the line; for $y=-3x-7$, plot $(-\frac{7}{3}, 0)$ and $(0, -7)…
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a parabola has a vertex at (0,0). the equation for the directrix of the…
C. right
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13) \\(\\tan c\\) \\(\\begin{tikzpicture}scale=0.5 \\coordinate (b) at …
$\frac{4}{3}$
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the focus of a parabola is located at (4,0), and the directrix is locat…
\(y^{2}=16x\) (corresponding to the option: \(y^{2}=16x\))
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a general formula for a parabola is $x^2 = 4py$. what is the value of $…
A. \(p = 3\)
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the focus of a parabola is located at (0,−2). the directrix of the para…
\(x^{2}=-8y\) (the option corresponding to \(x^{2}=-8y\))
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12) \\cos a
$\frac{4}{5}$
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a parabola has a vertex at the origin. the equation of the directrix of…
\((0,-3)\)
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a parabola has a vertex at (0,0). the focus of the parabola is located …
A. \(x = - 4\)
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find the midpoint of points a(3,6) and b(7,-4) graphically. plot the li…
The midpoint of points \( A(3,6) \) and \( B(7,-4) \) is \( (5,1) \).
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a parabola and its focus are shown on the graph. the vertex of the para…
D. \(x = - 3\) (assuming the options are labeled as A. \(y = 3\), B. \(y=-3\), C. \(x = 3\), D. \(x=-3\))
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a parabola with a vertex at (0,0) has a directrix that crosses the nega…
\(\boldsymbol{x^2 = 4y}\) (Option: \(x^2 = 4y\))
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7 multiple answer 1 point which similarity rule, if any, can be used to…
SSS-
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multiple choice 1 point the two triangles are similar. write a proporti…
2.042
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a parabola and its directrix are shown on the graph. what are the coord…
\((0,2)\)