Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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dilate △fgh by a scale factor of 4 with the center of dilation at the o…
To dilate \( \triangle FGH \) with a scale factor of 4 centered at the origin: 1. **Find original coordinates**: \( F(-2, -1) \), \( G(-1, 0) \), \( H(-1, -2) \). 2. **Apply dilat…
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graph the equation using the point and the slope $y - 1 = \\frac{1}{3}(…
The graph of the equation \( y - 1=\frac{1}{3}(x - 2) \) is a straight line passing through the point \( (2,1) \) with a slope of \( \frac{1}{3} \). To graph it, plot \( (2,1) \),…
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dilate figure abcd by a scale factor of \\(\\frac{1}{2}\\) with the cen…
\(D'(2, 4)\)
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te figure abcd by a scale factor of \\(\\frac{1}{2}\\) with the center …
\(C'(3,3)\)
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dilate figure abcd by a scale factor of \\(\\frac{1}{2}\\) with the cen…
\(B'(3,1)\)
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dilate figure abcd by a scale factor of \\(\\frac{1}{2}\\) with the cen…
\(A'(2,2)\)
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△bcd is dilated by a scale factor of \\(\\frac{1}{3}\\) with the center…
\((3, 1)\)
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select the correct answer. the points a(-3,4), b(3,2), c(1,-4), and d(-…
C. The product of the slopes of the diagonals is -1.
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drag the tiles to the boxes to form correct pairs. match each set of ve…
To solve this, we use the distance formula \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\) to find the side lengths, then classify the triangle by side (isosceles, scalene, equilater…
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quadrilateral abcd is shown on the coordinate plane. image of coordinat…
C. slope of \(\overline{AB}\) = slope of \(\overline{CD}\) and slope of \(\overline{BC}\) = slope of \(\overline{DA}\)
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30 which list of numbers could represent the side lengths of a right tr…
C. 10, 24, 26
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read the passage when building a log cabin, it is necessary to use jois…
readers with some knowledge of math and construction
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3. given triangle oab shown below with points u, r, s, and t marked, wh…
$\triangle ACD \cong \triangle ABD$ by the SSS (Side - Side - Side) congruence criterion. This is because: - $AC = AB$ (given, as $\triangle ABC$ is isosceles with $\overline{AB} …
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given $m \\parallel n$, find the value of $x$. there is a diagram with …
\( x = 26 \)
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jim is 1.45 meters tall. at 11 a.m., he measures the length of a tree’s…
# Explanation: ## Step1: Identify similar triangles Let the height of the tree be \( h \) meters. The man's height is \( 1.45 \) m, his shadow length (distance from him to tip of …
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jai is 1.45 meters tall. at 11 a.m., he measures the length of a tree’s…
The height of the tree is approximately 10.52 meters.
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two parallel lines, m and n, are cut by the transversal k as shown. sup…
s: - For ∠1 and ∠2: First select: linear pair; Second select: supplementary; \(m\angle2 = 115^\circ\). - For ∠2 and ∠3: First select: supplementary (or same - side interior angles…
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given $m \\parallel n$, find the value of $x$. image of two parallel li…
# Explanation: ## Step1: Identify Alternate Exterior Angles Since \( m \parallel n \) and \( t \) is a transversal, the angles \( (9x + 9)^\circ \) and \( (4x + 15)^\circ \) are a…
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given $m \\parallel n$, find the value of $x$.
\( 17 \)
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given $m \\parallel n$, find the value of x. image of two parallel line…
\( x = 19 \)
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if $qr = 13$, $rs = 10$, $qs = 16$, $uv = 11$, and $tv = 17.6$, find th…
\( 42.9 \)
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find the total area of an unopened can of beans with radius r = 14 cm a…
The total area of the unopened can is \( 3872 \, \text{cm}^2 \) (or \( 1232\pi \, \text{cm}^2 \) if leaving it in terms of \( \pi \)).
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2.5 hw part 3: perpendicular slope in slope-intercept form for the equa…
- Point - slope form: \( y+5 = 1(x + 3) \) - Slope - intercept form: \( y = 1x-2 \)
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parallel lines and tran find the measure of each numbere 10. 56° 11. sp…
\( m\angle1 = 124^\circ \), \( m\angle2 = 56^\circ \), \( m\angle3 = 124^\circ \), \( m\angle4 = 56^\circ \)
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use pascals triangle to complete the expansion of $(y - z)^4$. $y^4 + \…
The coefficient is \(- 4\) and the exponent of \(y\) is \(3\). Wait, but the given expansion has a plus sign. Wait, maybe the problem is written incorrectly. But according to the …
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use pascals triangle to complete the expansion of ((q - r)^3). (square …
First box: \(1\), Second box: \(-1\) So the expansion is \(1q^{3}-3q^{2}r + 3qr^{2}+(-1)r^{3}\) or \(q^{3}-3q^{2}r + 3qr^{2}-r^{3}\)
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use pascals triangle to complete the expansion of ((q - r)^6). (square …
The first box (coefficient) is \(1\) and the second box (exponent of \(q\)) is \(6\), so the first term is \(1q^6\) (or \(q^6\)).
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use pascals triangle to complete the expansion of $(p + q)^6$. $p^6 + 6…
The first blank (coefficient of \(p^{4}q^{2}\)) is \(15\) and the second blank (coefficient of \(p^{2}q^{4}\)) is \(15\). So the filled expansion is \(p^{6}+6p^{5}q + 15p^{4}q^{2}…
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a circle has a radius of 11 m. what is its circumference? use 3.14 for …
\( 69.08 \) meters
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the diameter of a circle measures 10 mm. what is the circumference of t…
\( 31.4\space\text{mm} \)
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the diameter of a circle measures 10 mm. what is the area (or circumfer…
\( 31.4\space mm \) If the question was to find the area, here is the solution:
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we can use the formula $r = \\sqrt{\\frac{s}{12.6}}$ to relate a balls …
\( 5.7 \)
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find the area and the circumference of a circle with radius 7 ft. use t…
Area: \( 153.86 \) square feet Circumference: \( 43.96 \) feet
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there is a number selection area for tens place (with numbers 0 - 9 abo…
Tens place: 0, Ones place: 7 (So in the tens bar, we select 0, and in the ones bar, we select 7)
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there are two rows of number buttons (0 - 9) labeled tens and another r…
The tens digit is 5 and the units digit is 4, so the number is 54 (put 5 in the "tens" box and 4 in the lower box).
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points k, l, m, and n are shown on the number line below. number line i…
B. point L
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determine another point on the line given two points on the line: (3, 0…
A) (0, -1)
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determine another point on the line given two points on the line. (0, 5…
B) (2, 3)
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in each diagram, line p is parallel to line f, and line t intersects li…
A. The value of \( x \) should be 75, because the angles shown in the diagrams are congruent.
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in the coordinate plane, the point a(0, 3) is translated to the point a…
\( B'(-5, 8) \), \( C'(-3, 1) \)
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the drawing below shows a side view of a picture frame on marys desk. i…
D. 17 cm
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in the coordinate plane, the point ( x(-4, -1) ) is translated to the p…
\( Y'(2, -5) \), \( Z'(0, 1) \)
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determine whether the given point is on the line. explain your reasonin…
The point \((8, - 2)\) is not on the line \(y=\frac{1}{4}x - 8\) because when we substitute \(x = 8\) and \(y=-2\) into the equation \(y=\frac{1}{4}x - 8\), we get \(-2=\frac{1}{4…
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in the coordinate plane, the point ( x(1, -4) ) is translated to the po…
\( Y'(3, -6) \), \( Z'(2, -5) \)
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write an equation of the line. the graph shows a line passing through t…
\(y = - 2x-7\)
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write an equation of the line.
\(y=-x + 7\)
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write an equation of the line. the image shows a coordinate grid with a…
The equation of the line is $y=-2x - 2$ (or in point - slope form $y - 2=-2(x + 2)$)
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a regular hexagon is shown below. line ( a ) bisects each side it passe…
- Clockwise rotation about \( P \) by \( 300^\circ \) - Reflection across line \( a \) - Reflection across line \( b \)
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an equilateral triangle is shown below. line ( m ) bisects each side it…
Reflection across line \( m \), Reflection across line \( n \)
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which figure is a rotation of figure a? figure b figure c figure d
Figure C
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which figure is a reflection of figure a? figure b figure c figure d
Figure D
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19 trapezoid abcd and its image abcd are shown on the coordinate plane …
C. reflection over the y axis and then a rotation of 180° about the origin ### Question 20
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quadrilateral qrst is a kite. what is su? diagram of kite qrst with dia…
\( 36 \)
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quadrilateral tuvw is a kite. what is vx? vx = \\boxed{}
\( 80 \)
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graph $9x + 15y = 45$.
To graph \( 9x + 15y = 45 \) (or the horizontal line \( y = 5 \) as per the graph, likely a typo in the equation), for \( y = 5 \): - Identify two points: \( (-5, 5) \) and \( (5,…
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graph $3x - 4y = 24$. youre almost there there are still more parts giv…
To graph \( 3x - 4y = 24 \): 1. **Find x-intercept** (set \( y = 0 \)): \( 3x = 24 \Rightarrow x = 8 \) (point: \( (8, 0) \)). 2. **Find y-intercept** (set \( x = 0 \)): \( -4y = …
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graph $3x + 4y = 12$.
To graph \( 3x + 4y = 12 \), find two points: - When \( x = 0 \), \( y = 3 \) (point \( (0, 3) \)). - When \( y = 0 \), \( x = 4 \) (point \( (4, 0) \)). Plot these points and dra…
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read the poem throat is dry; weather’s hot. i buy a can and pop the top…
4 (corresponding to the option with the circle labeled 4)
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graph the inequality on the axes below. 2x + 5y > 35
The graph has a dashed line with slope \(-\frac{2}{5}\) and \(y\) - intercept 7 (passing through \((0,7)\) and \((5,5)\) etc.), and the region above the dashed line is shaded.
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find the inequality represented by the graph.
\(y>-\frac{1}{3}x - 1\)
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match each term to the transformation it describes. translation rotatio…
- Translation: The first diagram (two triangles with same orientation, vertical shift) - Rotation: The third diagram (triangles turned around a point) - Reflection: The second dia…
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graphing linear equations vectored instruction graph the equation by fi…
When \( x = 1 \), \( y = 4 \); when \( x = 2 \), \( y = 3 \); when \( x = 3 \), \( y = 2 \); when \( x = 4 \), \( y = 1 \) The completed table is: | X | Y | |---|---| | 0 | 5 | | …
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a right triangle has side lengths d, e, and f as shown below. use these…
\( \tan x = \boldsymbol{\frac{f}{e}} \) \( \sin x = \boldsymbol{\frac{f}{d}} \) \( \cos x = \boldsymbol{\frac{e}{d}} \)
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56. sam drew $\\triangle abc$, then applied a scale factor of $2\\frac{…
- Side QR: 21 (select the option with 21 in the QR column) - Side RS: 28 (select the option with 28 in the RS column) - Side QS: 35 (select the option with 35 in the QS column)
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graphing linear equations vectored instruction graph the equation by fi…
When \( x = 3 \), \( y = 6 \); when \( x = 4 \), \( y = 5 \) So the completed table is: | X | Y | |---|---| | 0 | 9 | | 1 | 8 | | 2 | 7 | | 3 | 6 | | 4 | 5 |
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4 triangle abc is rotated $90^{circ}$ about the origin and then reflect…
A. \(25^{\circ}\)
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rhyming circle the picture that rhymes. draw another picture that rhyme…
Circle the jar (the middle top picture with the strawberry jam). Draw a picture of a yam (or other -am rhyming word like ram, pam, etc.). ### Phonics Section
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solve. the faraj family is building a deck in their backyard with the d…
The total area of the deck and flowers is \( 4x^{2}+80x + 375 \) square feet.
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the rectangle below has an area of $x^2 - 9$ square meters and a width …
\( x + 3 \)
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if xy = 24, xz = 18, and jq = 5, find the radius of the circumscribed c…
# Explanation: ## Step1: Identify the inradius and semiperimeter relation (Wait, no, circumscribed? Wait, the diagram has perpendiculars and equal segments, so Q is the incenter? …
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the rectangle below has an area of $x^2 - 144$ square meters and a leng…
\( x - 12 \)
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find the total area of an unopened can of beans with radius r = 14 cm a…
The total surface area of the unopened can is \( 1232\pi \, \text{cm}^2 \) or approximately \( 3872 \, \text{cm}^2 \) (when \( \pi \approx \frac{22}{7} \)).
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find the measure of $\\angle h$. (see example 3) 11. find the value of …
\( 51^\circ \) ### Problem 13: Find the value of each variable \( x \) and \( y \)
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watch video lesson 10.4 example 3 - finding the measure of an angle 3. …
\( 22^\circ \)
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graph the polygon with vertices a(-3, -1), b(2, 2), c(3, -3) and its im…
Original vertices: \(A(-3,-1)\), \(B(2,2)\), \(C(3,-3)\); Rotated vertices: \(A'(3,1)\), \(B'(-2,-2)\), \(C'(-3,3)\). Graph by plotting these points and connecting them.
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15 the diagram shows a shapes stencil. the stencil is made from a squar…
The height \( h \) of the triangle is \( 8.8 \, \text{cm} \).
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4. consider the relation shown in the graph below. graph of a relation …
\(x\leq4\)
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answer attempt 4 out of 10 coordinates of k: (3, 1) coordinates of k: (…
\(x\) - coordinate (or "the \(x\) - coordinate" or "the first coordinate")
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2. complete the following table. angle calculations | angle | complemen…
The completed table is as follows: | Angle | Complement | Supplement | Resulting angle (bisected) | |-------|------------|------------|----------------------------| | \(73^\circ\)…
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4. examine the given graph and answer the following questions. x values…
\(-9\)
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4. examine the given graph and answer the following questions. 4a what …
-1,6
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the vertices of $\\triangle xyz$ are $x(2, 3)$, $y(-3, 2)$, and $z(-4, …
The image vertices are \( X'(5, 2) \), \( Y'(0, 1) \), \( Z'(-1, -4) \). (Graphing involves plotting these points and connecting them as triangles.)
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question 7 (multiple choice worth 1 points) (04.07b mc) the figure show…
\( \angle 2 \) (assuming the options include \( \angle 2 \); if the options are, e.g., \( \angle 2 \), \( \angle 3 \), \( \angle 4 \), \( \angle 1 \), then the correct answer is \…
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vertical angles are congruent. vertical angle theorem diana is correct,…
B. Both Diana and Joby are correct
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diana’s proof statement\tjustification ∠1 + ∠2 = 180°\tdefinition of su…
Joby’s proof is invalid because it uses the Vertical Angle Theorem (the statement being proven) as a justification for its own statements, resulting in circular reasoning. He shou…
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dana and joby wrote the following proofs to prove that vertical angles …
Vertical angles are congruent (proven via linear pair postulate and substitution).
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*24. the number that corresponds to point a is how much less than the n…
1.5
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use the graph to estimate the x- and y-intercepts of the function and d…
x - intercept: \(-1\) y - intercept: \(2\) positive: \(x > - 1\) negative: \(x < - 1\)
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use the graph to estimate the x- and y-intercepts of the function and d…
x - intercept(s): \(x = 0\) and \(x = 2\) (or in coordinate form \((0,0)\) and \((2,0)\)) y - intercept: \(y = 0\) (or in coordinate form \((0,0)\)) positive: \(x<0\) or \(x>2\) n…
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select the correct property for each given example. (3 points) | | asso…
s: - For \((4 + 7) + 6 = 4 + (7 + 6)\): Associative Property (select the circle under Associative Property) - For \(7 + 6 = 6 + 7\): Commutative Property (select the circle under …
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directions: complete the following questions by showing all work and an…
d. All sides are congruent ### Question 2
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fluency and skills practice lesson 3 breaking apart figures to find 7 2…
The volume of the figure is \( \boxed{175} \) cubic centimeters.
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1.2: problem set overview in this assignment you will be completing pro…
\(x = 23\) (assuming the angles are supplementary; if the diagram shows a different relationship, adjust accordingly, but with the given info, linear pair is a common case here)
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triangles which angle is an alternate interior angle to angle 5 (1 poin…
# Explanation: ## Step1: Recall alternate interior angles definition Alternate interior angles are formed when a transversal crosses two parallel lines. They lie between the two p…
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which statement correctly describes a feature of a right triangle? (1 p…
It contains one angle that measures exactly 90 degrees.
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question 9 what is the purpose of a 30-60-90 plan? to set concrete goal…
A. To set concrete goals for your first few months in a new role.
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question 2 the x - coordinate increases as you move in which direction?…
D. Right ### Question 3
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7. write a flow proof. given: ∠e ≅ ∠h ∠hfg ≅ ∠egf prove: △egf ≅ △hfg 8.…
### Problem 7: Flow Proof for \(\triangle EGF \cong \triangle HFG\) # Explanation: ## Step 1: Identify Common Side The side \( \overline{FG} \) is common to both \( \triangle EGF …
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select the correct answer. two points located on $overleftrightarrow{jk…
D. 2
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use the drawing tool(s) to form the correct answer on the provided numb…
To draw the line segment: 1. Locate the point \(1.6\) on the number line. 2. If moving in the positive direction, move \(1.2\) units to the right from \(1.6\) to reach \(1.6+1.2 =…