Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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question 15 of 24 step 1 of 2 no time limit consider the following poly…
two (corresponding to the option "two")
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use the right triangle abc to find the length of the line segment betwe…
8
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17. what word best describes \\(\\overline{pq}\\)? a. radius b. chord c…
a. radius ### Question 18
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use the right triangle abc to find the length of the line segment betwe…
For length of AC: 8; For length of AB: $8\sqrt{2}$ (or approximately 11.31). (Since the question first asks about AC length and then AB, if we take AC length as the answer for the…
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find the square root of 25 to determine the missing side length, c. $a^…
5
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9. m∠2 = 97° m∠6 = 83° m∠3 = ______ m∠5 = ______ m∠10 = ______ m∠7 = __…
\( m\angle3 = 83^\circ \), \( m\angle5 = 97^\circ \), \( m\angle10 = 97^\circ \), \( m\angle7 = 97^\circ \), \( m\angle9 = 83^\circ \), \( m\angle16 = 83^\circ \)
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add 9 + 16 to simplify the left side of the equation. the image shows a…
25
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now, square the length of each leg of the right triangle, 3 and 4, to m…
\(9 + 16 = c^2\) (So the first box is 9 and the second box is 16)
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the triangle below is a right triangle. use the pythagorean theorem to …
\( 3 \), \( 4 \), \( c \) (in the respective boxes of \( a^2 + b^2 = c^2 \) as \( 3^2 + 4^2 = c^2 \))
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Question was provided via image upload.
1. c 2. a 3. f 4. e 5. b 6. f 7. e 8. a (Each boxed as per step, but since it's multiple, list each with their answer.)
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not graded directions answer the question below to check your understan…
False
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determine a series of transformations that would map figure q onto figu…
One possible series of transformations: Rotate Figure Q 90° clockwise about the origin, then translate it 10 units to the right and 2 units down. (Or other valid combinations like…
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given the following, what is the value of x? image of two parallel vert…
8
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name: use the figure at the right to answer problems 1 - 8. classify ea…
\( x = 5 \)
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given the following, what is the value of x? image of two parallel vert…
18
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determine whether each conclusion is valid based on the given informati…
**: Valid ### Problem 8 **Given**: If a figure is a square, then it has four right angles. Figure $ABCD$ has four right angles. **Conclusion**: Figure $ABCD$ is a square #### Step…
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which congruence sentences represent congruent alternate exterior angle…
$\boldsymbol{\angle 1 \cong \angle 8}$ and $\boldsymbol{\angle 2 \cong \angle 7}$
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4. find the circumference. 15.5 m
The circumference of the circle is approximately \( 48.67 \, \text{m} \) (or \( 48.71 \, \text{m} \) if using \( \pi = \frac{22}{7} \)).
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question 4 which angle is alternate interior angle to ∠5? image of two …
$\angle 4$
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which angle is a congruent corresponding angle to ∠1? (image of two par…
$\angle 5$
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the following image shows two parallel lines cut by a transversal. if m…
\( x = 4 \)
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in the rectangle below, $jn = 4x + 5$, $jl = 5x + 28$, and $m\\angle kn…
\( x = 6 \) \( m\angle NMJ = 63^{\circ} \)
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six graphs are shown below. click on the tabs to see them. check the bo…
Graph 4 (the checkbox corresponding to Graph 4 should be checked)
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use the pythagorean theorem to determine if the triangle is a right tri…
The triangle is not a right triangle. The sum of the squares of the shorter sides, \(a^2 + b^2\), is not equal to the square of the longest side, \(c^2\).
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is the triangle below a right triangle? remember, it might not be drawn…
The triangle \(\boldsymbol{\text{is}}\) a right triangle. The sum of the squares of the shorter sides, \(a^2 + b^2\), \(\boldsymbol{\text{equals}}\) the square of the longest side…
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not graded directions answer the question below to check your understan…
$141^\circ$ (assuming the intended correct option is the one with 141°, likely a typo in the options as 141° makes sense here)
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if the side lengths of a triangle make the equation a² + b² = c² true, …
is not
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you just found that the left side of the equation has a value of 61, an…
The equation is \(\boldsymbol{\text{not true}}\) because \( 61 \) (left - hand side value) is not equal to \( 49 \) (right - hand side value).
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directions: select the correct location on the number line. locate, on …
The correct location is on the top - left number line (with endpoints \(0\) and \(1\)) at the fourth tick mark from \(0\) (or \(0.8\) on that number line).
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next, find the value of the right side of the equation. whats 7²? (righ…
49
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4. find the circumference. 20.5 ft
La circunferencia del círculo es aproximadamente \( 64.37 \, \text{ft} \) (o usando \( \pi \) más preciso, por ejemplo, \( \pi \approx 3.1416 \), el resultado sería \( 3.1416 \tim…
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lets make this equation easier to work with. start by finding the value…
61
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write the standard form of the equation of the line through the given p…
For problem 15, the standard form of the line is \(x + y=2\)
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is this a right triangle? lets use the pythagorean theorem to check. st…
The boxes should be filled as \( \boldsymbol{5}^2+\boldsymbol{6}^2\stackrel{?}{=}\boldsymbol{7}^2 \)
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determine a series of transformations that would map figure c onto figu…
One possible series of transformations is: Reflect Figure C over the x - axis, followed by a translation 8 units to the right and 6 units up (or translate Figure C 8 units to the …
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find the hypotenuse of this right triangle. what is the length of c, th…
10
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Question was provided via image upload.
12
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check for understanding: parallel lines and the transversal not graded …
False
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answer $\\circ$ $(-1, -4)$ $\\circ$ $(-1, 5)$ $\\circ$ $(2, 0)$ $\\circ…
\boxed{(-1, - 4)}
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Question was provided via image upload.
\(b^2 = 144\) (The left box is \(b^2\), the right box is \(144\))
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youre trying to find the missing side length, or the value of b. what m…
Subtract 81 from both sides of the equation
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ta = ab = bc and td = de = ef. 6. write an equation that relates ad and…
\( BE = 14 \), \( CF = 21 \) ### Problem 9
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now, rewrite each exponent as a single number to make this equation eas…
The first box (for \(9^2\)) is \(81\) and the second box (for \(15^2\)) is \(225\), so the equation becomes \(81 + b^2 = 225\).
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now, rewrite each exponent as a single number to make this equation eas…
The value of \(6^2\) is \(36\) and the value of \(10^2\) is \(100\). So the equation becomes \(36 + b^2 = 100\).
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start by substituting the values you know and the value you dont know i…
For the substitution: \( 6^2 + b^2 = 10^2 \) (so boxes: 6, b, 10). For \( b \): \( \boldsymbol{8} \)
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el prisma rectangular de la figura tiene un volumen de 350 cm³, ¿cuál e…
La altura del prisma rectangular es aproximadamente \( \boldsymbol{3.8} \, \text{cm} \) (redondeada a la décima más cercana).
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determine a series of transformations that would map figure u onto figu…
One possible series of transformations is a 180 - degree rotation about the origin followed by a translation 16 units to the right and 10 units up (or other valid combinations lik…
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deltamath.com figure i figure h answer attempt 2 out of 2 a rotation of…
A rotation of \(180^\circ\) clockwise about the origin followed by a reflection over the x - axis.
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the eccentricity of the conic section below is ______. a. closer to 0 t…
a. closer to 0 than 1
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the conic section below is ______. a. a circle b. an ellipse c. a parab…
c. a parabola
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point g is the centroid of △abc. bg = 6, af = 12, and ae = 15. find the…
\(3\)
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determine a series of transformations that would map figure h onto figu…
A. Translation (vertical shift up 10 units) followed by a. (No other transformation, but if options include "translation" and "rotation" with rotation 0, but likely the first is "…
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the eccentricity of the conic section shown is ______.
\( 1 \)
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the conic section below is ______. a. a circle b. an ellipse c. a parab…
c. a parabola
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figure b is the result of a transformation on figure a. which transform…
A. A reflection over the \( y \)-axis
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the conic section below is______. a. a circle b. an ellipse c. a parabo…
d. a hyperbola
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figure j is the result of a transformation on figure i. which transform…
A rotation \(90^\circ\) counterclockwise about the origin
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full credit: all problems completed and all work shown half credit: hal…
B. 7
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figure h is the result of a transformation on figure g. which transform…
A rotation \(180^\circ\) counterclockwise about the origin
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alities $y \\leq -\\frac{2}{3}x - 1$ which of the following graphs repr…
W (assuming the first graph labeled W is the correct one with solid line, slope \( -\frac{2}{3} \), y-intercept \( (0, -1) \), and shading below the line)
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the upper-left coordinates on a rectangle are (3, -3), and the upper-ri…
The rectangle has vertices at \((3,-3)\), \((7,-3)\), \((7,-7)\), and \((3,-7)\). When drawing on the coordinate plane, plot these four points and connect them to form the rectang…
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solve for x and graph the solution on the number line below. -3 < x/-3 …
Inequality Notation: \(x < 9\) For the number line: We would plot an open circle at 9 (since x is less than 9, not less than or equal to) and draw an arrow to the left (towards ne…
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rectangle abcd is graphed in the coordinate plane. the following are th…
4
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61 what are the x-intercept and the y-intercept of the line? a) x-inter…
A) x - intercept: (10, 0) y - intercept: (0, 6)
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below are two inequalities and the graphs of their lines without the sh…
To solve this, we need to find a point that satisfies both inequalities \( y < -\frac{2}{5}x + 6 \) and \( y < 5x - 6 \). Let's assume some common test points (though the graph is…
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the upper-left coordinates on a rectangle are $(-5, 6)$, and the upper-…
To draw the rectangle: 1. Plot the upper - left vertex at \((-5,6)\) and upper - right vertex at \((-2,6)\). 2. Calculate the width: Using \(P = 2(l + w)\), \(l = 3\) (from \(\ver…
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given the figure below, find the values of x and z. (9x + 38)° (5x + 86…
\( x = 12 \) \( z = 34 \)
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target c: complete single transformations without a graph. directions: …
| pre-image | Transformation | Image | |-----------|-------------------------------|-------------| | (-4,1) | Translate 5 down | (-4, -4) | | (-1,2) | Dilate by scale factor 3 | (…
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question the circumference of a circle is 10π ft. what is the area, in …
\( 25\pi \)
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4-6: lesson quiz (exit when all vertices coincide, there exists a rigid…
congruent.
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at a bike trail intersection, one angle formed is 63. what is the measu…
\(27^\circ\)
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4-6: lesson quiz (exit ticket) in the figure shown, what additional inf…
B. $\overline{AB}\cong\overline{DE}$
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at a road intersection, one angle formed is 63. what is the measure of …
\(117^\circ\)
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for each pair of figures below, choose how they are related. (figures s…
First Pair: Rotation Second Pair: Translation Third Pair: Rotation Fourth Pair: Rotation
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geometry the expression $17n + 11$ represents the perimeter of the tria…
The length of the third side is \( 8n \).
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27. classifying triangles: a triangle has one angle that is 110°. is it…
Obtuse ### Sub - question 28 (Quadrilaterals)
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90) through: (3, -1), perp. to y = x + 4
The equation of the line is \( y=-x + 2 \)
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problem 4d write an equation for this line. (there is a coordinate grid…
\(y = - 2\)
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problem 4c: write an equation of the line.
\(y =-\frac{1}{2}x+10\)
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13. a right triangle has one leg that is 7 less than 3 times the other.…
The two legs are approximately \( 31.8 \) meters and \( 88.5 \) meters. (If we consider exact form, \( \frac{42 + \sqrt{353244}}{20} \) meters and \( \frac{3\sqrt{353244}-14}{20} …
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13. set up a proportion to find the height of the tree. round your answ…
23 meters (corresponding to the option "23 meters")
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skills: classifying shapes, coordinate plane 27. classifying triangles:…
Obtuse
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write an equation for this line.
\( x = 3 \)
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look at the number line below. which point is located at $-dfrac{5}{8}$…
C. Point C
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write the equation of this line in slope - intercept form. write your a…
\(y = -\frac{1}{4}x + 20\)
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kaitlyn drew $\\triangle pqr$ on a coordinate grid. then she drew $\\tr…
A. They are similar but not congruent.
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page 386 3. a) identify the two similar triangles in the diagram at the…
a) The two similar triangles are \( \triangle ABC \) and \( \triangle DEC \). We know they are similar because they both have a right angle (so one pair of congruent angles) and s…
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mary wants to plant grass in her backyard. her backyard is in the shape…
50
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this graph shows the line $3x + 2y = 18$. select all of the points that…
(2, 6), (6, 0), (0, 9)
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angle stv is a straight angle. the measure of angle wtv is 65°. the mea…
\(x = 115\)
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angle pqr is a right angle. the measure of angle pqs is 65°. the measur…
25
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problem 1 this graph shows the line $3x + 2y = 18$. select all of the p…
(2, 6), (6, 0), (0, 9)
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question enter the missing values in the area model to find 10(5w - 5) …
The missing values in the rectangles are \(50w\) (top) and \(-50\) (bottom), and \(10(5w - 5)=50w - 50\).
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activity b 1. what is the relationship between the length and the width…
### 1. Relationship: The length \( y \) is 2 more than the width \( x \), so \( y = x + 2 \). ### 2. Completed Table: | Width \( x \) | Length \( y \) | |---------------|---------…
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11. set up a trig ratio and solve for the missing distance, x, to find …
\(x \approx 29\) feet
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stuv ~ hgfi. find the ratio of a side length in stuv to its correspondi…
3
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compound area (q2) rec/tri 1. what is the area of this figure? (figure …
80
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distribution area model (algebraic) score: 3/5 penalty: 1 off question …
\( 15m - 15 \)
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find the values of x and y in parallelogram edyf. sum of all angles is …
\( x = 15 \), \( y = 11 \)
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graph the equation using x- and y- intercepts. 82) $4x - 5y = -20$
To graph \( 4x - 5y = -20 \), plot the x-intercept \( (-5, 0) \) and y-intercept \( (0, 4) \), then draw a line through these points.