Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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directions: if ( l parallel m ), solve for ( x ). 5. diagram: two paral…
\( x = 13 \)
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if wx = wz = 26, m∠wyx = t + 26°, and m∠wyz = 3t, what is m∠xyz?
\( 78 \)
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what is the value of c? diagram: points u, v, t, s with right angles at…
\( 20 \)
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c.6 angle bisectors if ux = wx = 17, m∠uvx = y + 54°, and m∠wvx = 4y, w…
\( 18 \)
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solve each inequality. graph and check the solution. (ex 2. ( 5d - 13 <…
The solution to the inequality \( 5d - 13 < 32 \) is \( d < 9 \). To graph this, we draw an open circle at 9 on the number line (since \( d \) is not equal to 9) and shade the reg…
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c.6 angle bisectors if m∠dfe = m∠dfg = 40°, de = 2v, and dg = v + 27, w…
\( 27 \)
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8) 2x° 56°
\(x = 28\)
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if $overline{ps} cong overline{rs}$ and $mangle pqs = 48^circ$, what is…
\( 48 \)
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in the figure below, pq = 19 and pr = 36. find qr. p q r qr = □
\( 17 \)
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c.6 angle bisectors what is ( ru )? diagram: triangle with vertex ( s )…
\(56\)
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film analysis and review movie: the secret life of pets part one – fram…
To complete this film analysis for *The Secret Life of Pets*, we'll analyze elements from each section: ### PART ONE – FRAMING, ANGLES, AND CAMERA MOVEMENT #### 1. Describe a sign…
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choose the term that has the given definition. term | definition line s…
### For the third row (definition: A figure formed by two rays that have the same endpoint): The term is "Angle". Because an angle is defined as a figure formed by two rays with a…
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triangle congruence review name sophia aroyo period 1 part 1: name the …
\( \boldsymbol{39^{\circ}} \)
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find the value of x. 7) (2x + 14)° (3x + 1)°
\(x = 15\)
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choose the term that has the given definition. table with columns \term…
To solve this, we match each definition with the correct geometric term: 1. "Intersecting lines that form right angles" → **Perpendicular lines** (since perpendicular lines inters…
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an image shows intersecting lines forming an 85° angle and another angl…
\(x = \frac{47}{3}\) (or approximately \(15.67\))
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refer to the trapezoid in the diagram. identify a line of reflection th…
None of the options is correct. The correct line of reflection is \( x = -0.5 \) (or \( x = -\frac{1}{2} \)). But if we have to choose from the given options, there is a mistake. …
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solve each inequality. graph and check the solution. (example 2) 2. ( 5…
\( d < 9 \) ### Problem 3: Solve \( -4b + 9 \leq -7 \)
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examine the polygon in the figure shown. identify a line of symmetry th…
\( x = 3 \) (corresponding option: \( \boldsymbol{x = 3} \))
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which of the following summarizes the reflections that carry a parallel…
A parallelogram does not have any lines of reflection.
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what is the smallest degree measure for a regular nonagon to rotate ont…
\( 40^{\circ} \) (corresponding to the option "40°")
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symmetry quick check which statement best summarizes the rotations that…
B. A square will rotate onto itself after 90 - degree, 180 - degree, 270 - degree, and 360 - degree rotations.
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diagram shows two intersecting lines (one horizontal, one slanted) form…
\(x = 20\)
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the graphs below shows some properties of regular polygons. when compar…
2
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finding area draw the figure in a coordinate plane and find its area. 3…
28
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which sentence below is a compound-complex sentence? a. my friend and i…
b. My friend and I went to the beach today, but we were not able to go surfing because it started to rain.
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1 a. ∠1 and ∠8 b. ∠2 and ∠3 c. ∠5 and ∠7 d. ∠2 and ∠7 e. ∠1 and ∠3 f. ∠…
To determine the type of each angle pair, we use angle relationship definitions (vertical, adjacent, linear pair, corresponding, alternate interior/exterior, consecutive interior)…
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2. dilate kite efgh center of dilation: (0, 0) scale factor: 2 e: _____…
\( E'(-6, 2) \), \( F'(0, 8) \), \( G'(6, 2) \), \( H'(0, -4) \)
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ab is graphed below. ab is the image of ab after a dilation by a scale …
12
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38. precision is the triangle an equilateral triangle? justify your ans…
No, the triangle is not equilateral. When solving for \(x\) (by setting two sides equal), we find \(x = 4\). Substituting \(x = 4\) into each side’s expression gives side lengths …
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triangle abc and triangle efg are shown below. what is ( mangle g )? (\…
\( 39 \)
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making scaled copies learning goal lets draw scaled copies. learning ta…
More than 205 ### Part b
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22. in δdef, fe = 13 and m∠f = 34. find df to the nearest tenth. 15.7 1…
15.7
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a circle’s circumference is proportional to its diameter. definition: l…
First blank: varies directly; Second blank: \( y = kx \); Third blank: constant of proportionality
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a quadrilateral has vertices (3, 6), (7, 6), (11, 3), and (3, 3). what …
20
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a quadrilateral has vertices (0, 0), (-8, 0), (0, −6), and (-8, −6). co…
\(x = - 4\)
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20. the area of a square garden is 200 m². how long is the diagonal? 10…
20 m
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the polygon shown has a line of reflection that will cause the figure t…
\(x = - 3\)
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19. find the value of y. round your answer to the nearest tenth. cos 84…
8.0
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18. the tangent of an angle is 3.4. what is the measure of the angle to…
73.6°
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17. in △abc, ab = 3 and ac = 9. find m∠b to the nearest degree. 72 52 5…
72
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what is the surface area of this prism? 5 cm 4 cm 5 cm 10 cm 6 cm squar…
184
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16. a painter leans a 34-ft ladder against a building. the base of the …
30 feet
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15. a child lies on the ground and looks up at the top of a 14-ft tree …
\( 63^\circ \) (the option corresponding to \( 63^\circ \))
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14. a painter leans a 20-ft ladder against a building. the base of the …
16 feet (corresponding to the option "16 feet")
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a mouse on the ground is looking up at an owl sitting in a tree. the mo…
13
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symmetry practice complete this assessment to review what youve learned…
\( 60 \)
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which number line represents the solution set for the inequality 3(8 − …
The second number line (the one with an open circle at 3 and the arrow pointing to the right among the given options)
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13. what is the cosine ratio for ∠f? (\frac{13}{5}) (\frac{5}{13}) (\fr…
$\frac{5}{13}$ (corresponding to the option with $\frac{5}{13}$)
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11. δpqr is a right triangle. if pq = 8, what is pr? options: ( 8sqrt{3…
$4\sqrt{3}$
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what is the value of x in the equation $2.5(6x - 4) = 10 + 4(1.5 + 0.5x…
\(x = 2\)
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draw a 15° angle using the ruler and protractor.
The angle \( \boldsymbol{15^{\circ}} \) is drawn by following the above steps (the specific drawing is based on the actual operation, and the key is to ensure the correct use of t…
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circle d is shown in the diagram below. ∠abc is an inscribed angle, and…
\( 49 \)
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select the best description for the diagram. diagram: line ( overleftri…
# Brief Explanations: 1. Analyze the diagram: Line \( \overleftrightarrow{XY} \) (a straight line) intersects segment \( \overline{WV} \) at point \( Z \). The markings on \( \ove…
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the point q lies on the segment \\( \\overline{pr} \\). find the coordi…
\((-4,3)\)
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the point n lies on the segment \\(\\overline{mp}\\). find the coordina…
\((3,-2)\)
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8) select the note with its letter name. you can start each measure by …
C. BCD FED GAB FGA (assuming the options are labeled with circles, and the third option is this one) ### Question 9 (Note: Since the musical notation for question 9 is partially v…
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ite an equation and solve 2 (2x + 10)° 72°
\( x = 4 \)
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in the figure below, n lies between m and p. find the location of n so …
1
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4. to approach a runway, a plane must begin a 7° descent starting from …
16 mi
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incorrect your answer is incorrect. a jeweler put these gemstones out o…
To show the ratio of diamonds to all gemstones (3:8), we can use a tape diagram: - Draw a rectangle (or a tape) divided into 8 equal sections (to represent all 8 gemstones). - Sha…
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kari and samantha have determined that their water-balloon launcher wor…
\( |x - 45| = 3 \); minimum angle: 42 degrees (corresponding to the third option: \( |x - 45| = 3 \); minimum angle: 42 degrees)
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in the figure below, b lies between a and c. find the location of b so …
20
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13. at&t offers different plans for phone data usage. the plan jenna ch…
3 gigabytes ### Problem 14
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how many times as old as zeki is metin? 14 ÷ 2 = 7 11. write • math dra…
Model: 4 groups of 3 objects (e.g., circles) as shown above. Equation: \( 4\times3 = 12 \) (or \( 3\times4 = 12 \)). The model shows 4 sets of 3, and the equation multiplies the n…
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10 fill in the blank text b is the midpoint of (overline{ac}) solve for…
x = 10, AC = 40 Wait, let's recalculate. Since B is the midpoint, AB = BC. AB is (3x - 10) - (30 - x)? No, wait, AC is 3x - 10, and BC is 30 - x. Wait, no, the total length AC is …
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in the figure below, y lies between x and z. find the location of y so …
-2
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find the center and radius of the circle defined by the equation ((x + …
center: \((-5, -8)\) radius: \(5\)
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part c: guided practice 1. what is the radius of a circle? 2. if the di…
The radius of a circle is the distance from the center of the circle to any point on its circumference (or half of the circle's diameter). ### Question 2
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calculate the distance between the points j=(0, 6) and n=(-7, 1) in the…
\(\sqrt{74}\)
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find the area of the parallelogram. area of parallelogram = \\square in²
\( 10 \)
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fill in the blank with the correct segment to make the statement true a…
\( AC + CF = AF \) \( BF + FS = BS \) \( AB + BS = AS \) (Wait, no, let's re-examine the points. The points are A, B, C, F, S in order. So AB + BS? Wait, no, AS is the entire segm…
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calculate the distance between the points g = (-2, -2) and n = (1, -6) …
5
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(b) the lengths of the sides of a triangle are represented by three con…
The lengths of the sides of the triangle are 15 feet, 16 feet, and 17 feet.
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calculate the distance between the points ( n = (3, -4) ) and ( p = (7,…
\(\sqrt{41}\)
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which order did becca perform the transformations? choose one option fr…
To solve this, we analyze the properties of rotations and dilations: ### First Drop - Down (Order of Transformations) Rotations (rigid transformations) preserve shape and size, wh…
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2. what is the volume of the bottom prism in cm³?
The volume of the bottom prism is \( 120 \, \text{cm}^3 \).
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find the area of the number 1. area = 48 in³
\(48\)
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if t is the midpoint of \\(\\overline{su}\\), find the values of x and …
\( x = 5 \), \( ST = 45 \)
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if ef = 2x - 12, fg = 3x - 15, and eg = 23, find the values of x, ef, a…
\( x = 10 \) \( EF = 8 \) \( FG = 15 \)
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9. mp reason inductively a figure is translated by (x, y) → (x + 3, y −…
The final position is the original position of the figure. The two translations are inverse operations: the first adds 3 to x and subtracts 4 from y, and the second subtracts 3 fr…
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a rectangle was rotated 270° about the origin. the image is shown. whic…
K\((-3, -1)\), M\((-3, 2)\), N\((3, 1)\)
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2. what is the volume of the bottom prism in cm³? part c: guided practi…
The volume of the bottom prism is \( 120 \, \text{cm}^3 \). ### For Part C, Question 1:
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δstu and δwvu are shown below. which statement is true? δstu is similar…
$\triangle STU$ is similar to $\triangle WVU$.
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triangle would be a different size than triangle abc on the coordinate …
a different size than triangle \( A''B''C'' \) (assuming \( A''B''C'' \) is from rigid transformations; the key is dilation changes size, so the result of dilate + rotate is a dif…
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becca choose... she rotated t th angle would choose... ordinate gri res…
could have performed the transformations in either order
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key postulates: protractor postulate. angle addition postulate. guided …
s: 11. \(m\angle PTR=\boldsymbol{60^{\circ}}\) 12. \(m\angle PTQ=\boldsymbol{30^{\circ}}\) 13. \(m\angle QTS=\boldsymbol{150^{\circ}}\) 14. Luis likely misread the protractor scal…
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which order did becca perform the transformations? choose one option fr…
To solve this, we analyze the properties of rotations (rigid transformation, preserves shape/size) and dilations (non - rigid, changes size, center - based). ### Step 1: Rotation …
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which order did becca perform the transformations? choose one option fr…
To solve this, we analyze transformation order rules: ### For Rotation and Translation (or other rigid motions): Rigid motions (rotation, translation, reflection) are **commutativ…
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y-axis to form △abc, and then △abc can be rotated 90° clock about the o…
True
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find the value of x. 7) (2x + 14)° (3x + 1)°
\(x = 13\)
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△abc can be reflected across the y-axis to form △a′b′c′, and then △a′b′…
(for the first "Choose..." dropdown): True
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write a proof of the theorem that states that through a point not on a …
Through a point \( P \) not on line \( l \), only one line parallel to \( l \) exists (proven via Playfair's Axiom and angle/transversal properties, showing two purported parallel…
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question find the value of z in the diagram below. diagram: a bar (rect…
10
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question find the value of x in the diagram below. diagram: 5 rectangle…
5
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question find the value of y in the diagram below. the diagram shows a …
7
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exercises 8, 9, and 10. points a, b, c, and d on the figure below are c…
\( AB = 8 \) ### Problem 9:
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determine whether each statement about the triangles is true. choose tr…
To solve this, we analyze each statement about triangle transformations (similarity, congruence, reflections, rotations, dilations): ### 1. $\boldsymbol{\triangle ABC}$ is similar…
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use the compass and ruler to construct the perpendicular bisector of th…
The perpendicular bisector of $\overline{AB}$ is constructed by following the steps above (drawing arcs from A and B with appropriate compass width and then connecting the interse…
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determine whether each statement about the triangles is true. choose tr…
To solve this, we analyze each statement about triangle transformations (similarity, congruence, and transformations like reflection, rotation, dilation): ### Statement 1: $\bolds…