幾何
三角形、円、座標幾何、証明問題。
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write the coordinates of the vertices after a dilation with a scale fac…
\( B'(0, -8) \) \( C'(8, -4) \) \( D'(0, 8) \) \( E'(-8, -4) \)
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2. find the measure of angle abc. you do: find m∠zbx.
30°
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write the coordinates of the vertices after a dilation with a scale fac…
\( A'(-2, -3) \) \( B'(0, -3) \) \( C'(0, -5) \)
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name london rodgers geometry essentials & midpoint - yellow group 1. na…
\( x = 12 \) ### "YOU DO" for Problem 4 (Finding x when \( DF = 29 \))
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write the coordinates of the vertices after a dilation with a scale fac…
\( J'(-9, 3) \) \( K'(-9, 6) \) \( L'(-6, 6) \)
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20. leisure time the current top score on danielle’s favorite arcade ga…
The inequality is \( \boldsymbol{s \geq 13468} \). For the graph, there is a closed circle at \( 13468 \) on the number line with an arrow pointing to the right.
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write the coordinates of the vertices after a dilation with a scale fac…
\( L'(-3, -3) \) \( M'(-3, 3) \) \( N'(3, -3) \)
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write the coordinates of the vertices after a dilation with a scale fac…
\( E'(-4, -8) \) \( F'(-2, -8) \) \( G'(-2, -4) \) \( H'(-4, -4) \)
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13. if b is the midpoint of \\(overline{ac}\\), and \\(ac = 8x - 20\\),…
\( 26 \)
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parallelogram abcd is rotated 180° clockwise about the origin to produc…
\( A'(-5, -3) \) \( B'(-5, -4) \) \( C'(-10, -8) \) \( D'(-10, -7) \)
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parallelogram rstu is reflected over the x-axis to produce rstu. write …
\( R'(-3, 1) \) \( S'(4, 1) \) \( T'(2, 5) \) \( U'(-5, 5) \)
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practice: dimensional analysis show all work as you complete each probl…
$\boxed{74.53}$ liters (rounded to two decimal places) ### Problem 2: 125 lbs to grams
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11. if g is the midpoint of $overline{fh}$, find $fg$. $11x - 7$ quad $…
15
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graph the image of rectangle rstu after a reflection over the x-axis.
The reflected rectangle \( R'S'T'U' \) has vertices at \( R'(-9, 9) \), \( S'(-2, 9) \), \( T'(-2, 3) \), and \( U'(-9, 3) \). (To graph it, plot these points and connect them in …
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2 multiple choice 25 points state how the triangles are congruent. indi…
AAS or SAA
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10. if t is the midpoint of (overline{su}), find x. points: ( s ) --- (…
\( x = 3 \)
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the graph shows parallelogram cdef. cdef is rotated 270° clockwise abou…
- \( D' \) and \( E' \) have the same \( x \)-coordinate. (True) - The distance between \( C' \) and \( F' \) is 3 units. (True) - The \( x \)- and \( y \)-coordinates of \( D' \)…
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which rule describes the transformation from parallelogram tuvw to tuvw…
\( (x, y) \mapsto (-y, x) \) (the second option)
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which rule describes the transformation from triangle abc to abc? image…
\((x, y) \mapsto (x - 3, y + 4)\) (the first option)
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4 multiple choice 25 points if x = 80 solve for a. si x = 80 resolver p…
20 (corresponding to the option with 20)
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3 multiple choice 25 points find the value of x. diagram: triangle xwi …
6 (corresponding to the option with value 6)
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line ej bisects angle ∠def. if m∠dej=5x+7 and m∠jef=8x−8. you may need …
5
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2 multiple choice 25 points if a = 80 solve for x. si a = 80 resolver p…
80 (corresponding to the option "80")
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the formula for finding the volume of a square prism is $s^2 h$, where …
96 cubic centimeters
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if a = 80 solve for x. si a = 80 resolver para x.
50
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1) translation: 5 left and 2 up
The translated vertices are \((-4, 1)\), \((-1, 1)\), and \((-2, -3)\). To graph, plot these points and connect them.
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find x and select your answer on the next screen
\( x = 2 \)
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18. show whether each triangle in the table is a right triangle. | tria…
- Triangle A: Right triangle (since \(9^{2}+12^{2}=15^{2}\)) - Triangle B: Not a right triangle (since \(7^{2}+8^{2} eq11^{2}\)) - Triangle C: Right triangle (since \(7^{2}+24^{2…
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m∠efq = 2x + 18, m∠efg = 17x + 8, and m∠qfg = 140°. find m∠efg. on this…
\( 178^\circ \)
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5 the points given below are the vertices of △vwx and its image after a…
When comparing corresponding vertices, the \( y \)-coordinates are the same, and the \( x \)-coordinates are opposites (e.g., \( V(2,1) \) and \( V'(-2,1) \), \( W(3,5) \) and \( …
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9. if $overline{lk} cong overline{mk}$, $lk = 7x - 10$, $kn = x + 3$, $…
\( 46 \)
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4 noor draws △pqr in the coordinate plane as shown. then she reflects △…
Correct coordinates of \(Q'\) are \((3, -2)\). Doug might have reflected \(\triangle PQR\) across the \(x\) - axis instead of the \(y\) - axis. ### Problem 5a
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18. show whether each triangle in the table is a right triangle. triang…
- Triangle A: Right triangle (since \(9^{2}+12^{2}=15^{2}\)) - Triangle B: Not a right triangle (since \(7^{2}+8^{2} eq11^{2}\)) - Triangle C: Right triangle (since \(7^{2}+24^{2…
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3 figure j k l m n is reflected across the x - axis to form figure j k …
False ### Part (b) Find \(M\)’s coordinates: \(M\) is at \((4, 1)\) (since it’s on the grid, \(x = 4\), \(y = 1\) above the \(x\)-axis). Reflecting across the \(x\)-axis, \(M'\) i…
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \( x \leq 7 \) For the number line: Draw a closed circle at 7 (since the inequality is "less than or equal to") and shade the line to the left of 7 to represe…
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18. show whether each triangle in the table is a right triangle. triang…
- Triangle A: Right triangle (since \(9^{2}+12^{2}=15^{2}\)) - Triangle B: Not a right triangle (since \(7^{2}+8^{2} eq11^{2}\)) - Triangle C: Right triangle (since \(7^{2}+24^{2…
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: $x < 3$ Number Line: Draw an open circle at 3 (since 3 is not included) and shade the line to the left of 3.
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solve the inequality and graph the solution. (2q + 20 > 4) plot the end…
The solution to the inequality \( 2q + 20>4 \) is \( q > - 8 \). To graph this, we draw an open circle at \( - 8 \) (since the inequality is strict, \( q eq - 8 \)) and draw a ra…
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18. show whether each triangle in the table is a right triangle. | tria…
To determine if a triangle is a right triangle, we use the Pythagorean theorem, which states that for a right triangle with side lengths \(a\), \(b\) (the legs), and \(c\) (the hy…
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if ( m angle qps = 96 ), ( m angle rpt = 67 ), and ( m angle rps = 34 )…
\( 129 \)
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8. if (overline{bd} cong overline{bc}), (bd = 5x - 26), (bc = 2x + 1), …
\(24\)
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4 multiple choice 25 points find the value of x. encuentra el valor de …
\(101^\circ\) (corresponding to the option with \(101^\circ\))
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use reference angles to find the exact value of the following expressio…
\(\frac{\sqrt{3}}{2}\)
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3 multiple choice 25 points find the value of x. encuentra el valor de …
119° (corresponding to the option with 119°)
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preimage image scale factor = 1/4 ? blue rectangle blue rectangle with …
20 cm
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2 multiple choice 25 points find the value of x. encuentra el valor de …
\(65^\circ\) (corresponding to the option with \(65^\circ\))
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1 multiple choice 25 points find the value of x. encuentra el valor de …
50° (corresponding to the option with 50°)
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solve the inequality and graph the solution on the line provided. (2x -…
Inequality Notation: \( x > -4 \) For the number line: Draw an open circle at -4 (since the inequality is strict, \( x eq -4 \)) and shade the region to the right of -4 to repre…
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4. if df = 9x - 39, find ef. d---47---e---3x+10---f
58
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17) what is the area of the square that can be drawn on side c of each …
The area of the square drawn on side \(c\) is 144 square millimeters.
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if ( m angle qps = 109 ), ( m angle rpt = 96 ), and ( m angle rps = 53 …
\( 152 \)
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12. naveen plotted his triangular garden on a coordinate plane. what ar…
s: ### Problem 12 (assuming the original vertices are \( (-5,1) \), \( (-4,4) \), \( (4,1) \)) The vertices of the reflected triangle are \( (1, - 5) \), \( (4, - 4) \), and \( (1…
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if m∠qps = 116, m∠rpt = 109, and m∠rps = 72, what is m∠qpt? enter your …
\( 153 \)
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4. euclid’s parallel postulate (read it again from the class work) is s…
Lines \(m\) and \(n\) are not parallel because the sum of the interior angles on the same side of transversal \(t\) (\(64^\circ + 114^\circ=178^\circ\)) is not equal to \(180^\cir…
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7 multiple choice 25 points if $\\angle 5 = 85^\\circ$ what is the valu…
85 (corresponding to the option with 85, e.g., if the options are A. 105, B. 85, C. 95, D. 5, then the answer is B. 85)
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12. naveen plotted his triangular garden on a coordinate plane. what ar…
The vertices of the reflected triangle are \( C'(-3, 6) \), \( D'(-1, 1) \), and \( E'(3, 5) \).
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multiple choice 10 points what is the relationship between ∠1 and ∠7? ¿…
Alternate Exterior Angles (ángulos exteriores alternos)
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11. △cde with vertices c(-... c(6, -3), d(1, -1), and e(5, 3), using co…
The image of the triangular garden has vertices \( C'(-3, 6) \), \( D'(-1, 1) \), and \( E'(3, 5) \).
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5 multiple choice 10 points what is the relationship between ∠3 and ∠6?…
Alternate Interior (ángulos interiores alternos)
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5. if uw = 6x - 35, find uw. u ---- v (19) ---- w (4x - 20)
67
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4. euclid’s parallel postulate (read it again from the class work) is s…
Lines \(m\) and \(n\) are not parallel because the sum of the interior angles on the same side of transversal \(t\) (\(64^\circ + 114^\circ=178^\circ\)) is not equal to \(180^\cir…
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multiple choice 10 points what is the relationship between $\\angle 2$ …
Alternate Exterior Angles (Angulos exteriores alternos)
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the perimeter of the figure below is 86.3 ft. find the length of the mi…
# Explanation: ## Step1: Identify known sides and count occurrences First, we list out the lengths of the known sides and how many times each appears: - \( 9.1 \) ft: 1 time - \( …
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what is the relationship between ∠1 and ∠5? ¿cuál es la relación entre …
B. Corresponding Angles (ángulos correspondientes)
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2 multiple choice 10 points what is the relationship between $\\angle 6…
Vertical Angles (ángulos verticals)
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7. if bd = 7x - 10, bc = 4x - 29, and cd = 5x - 9, find each value.
\( x = 14 \), \( BC=27 \), \( CD = 61 \), \( BD = 88 \)
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multiple choice (18 points) if $\\angle 2 = 95^\\circ$, what is the val…
85
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6. a) calculate the areas of the three squares. b) is the triangle a ri…
s: #### (a) - Area of the square with side 4 cm: \( \boldsymbol{16 \text{ cm}^2} \) - Area of the square with side 3 cm: \( \boldsymbol{9 \text{ cm}^2} \) - Area of the square wit…
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what are the coordinates of the image of vertex d after a reflection ac…
\((5, 3)\) (corresponding to the option with text \((5, 3)\))
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6. a) calculate the areas of the three squares.
- Square with side 4 cm: \( 16 \, \text{cm}^2 \) - Square with side 3 cm: \( 9 \, \text{cm}^2 \) - Square with side 2 cm: \( 4 \, \text{cm}^2 \) (If the top diagram's question was…
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what is the rule for the reflection? $r_{x\\text{-axis}}(x, y) \\to (-x…
\( r_{x\text{-axis}}(x, y) \to (x, -y) \) (the third option)
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figure abcdef was reflected across the line y = -x to create figure abc…
\( (2, - 4) \) (corresponding to the option \( \boldsymbol{(2, -4)} \))
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what is the rule for the reflection? ( \bigcirc r_{y=x}(x,y) \to (-y,-x…
\( r_{y=x}(x, y) \to (y, x) \) (the third option: \( \boldsymbol{r_{y=x}(x, y) \to (y, x)} \))
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the image of trapezoid pqrs after a reflection across $overleftrightarr…
\(\boldsymbol{\overline{RR'} \parallel \overline{SS'}}\) (the option with \(\overline{RR'} \parallel \overline{SS'}\))
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \( x \leq 2 \) For the number line: Place a closed circle at 2 (since the inequality is "less than or equal to") and draw a line to the left of 2 to represent…
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the image of δabc after a reflection across $overleftrightarrow{eg}$ is…
D. \( \triangle BGC \) is right because \( \overleftrightarrow{EG} \perp \overline{CC'} \). (Note: Assuming the last option is D, if the options were labeled differently, adjust t…
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which statements must be true about the reflection of δxyz across ↔mn? …
- \( m\angle X'Z'Y' = 90^\circ \) - \( \overline{BZ'}\cong\overline{BZ} \) - \( \overline{XY}\parallel\overline{X'Y'} \)
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use reference angles to find the exact value of the following expressio…
The correct value of \( \cot 120^\circ \) is \( -\frac{\sqrt{3}}{3} \), so the option A with -2 is incorrect. However, if we follow the given options and there is a mistake, but t…
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what is the pre-image of vertex a if the image shown on the graph was c…
\(\boldsymbol{(-6, 8)}\) (corresponding to the option \((-6, 8)\))
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the image of parallelogram pqrs after a reflection across $overleftrigh…
6
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if \\(\\overrightarrow{uv}\\) is an angle bisector of \\(\\angle wvz\\)…
\( 30^\circ \) ### For \( c \):
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finding angles ∠a and ∠b are supplementary. find m∠a and m∠b. 51. m∠a =…
\(m\angle A = 157^\circ\), \(m\angle B = 23^\circ\)
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7 multiple choice 25 points what is the measure of the value of the ang…
D. 20 (assuming the options are labeled as A. 180, B. 160, C. 0, D. 20)
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multiple choice 25 points what is the measure of the value of the angle…
110 (corresponding to the option with 110, e.g., if the options are labeled, it would be the option with 110. Since the options are 70, 110, 180, 120, the answer is 110)
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what is the volume of the rectangular prism? cubic unit(s)
15
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what are the coordinates of point q? (0, - 3)
\((0, - 3)\)
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5 multiple choice 10 points what type of angle has a measured value of …
C. Reflex (ángulo reflejo)
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3 multiple choice 10 points what type of angle has a measured value of …
C. Right (el ángulo recto)
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multiple choice 10 points what type of angle has a measured value of le…
B. Acute (agudo)
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5. is the triangle shown a right triangle? explain your reasoning. imag…
No, the triangle is not a right triangle. Because for a right triangle, the sum of the areas of the squares on the two legs should equal the area of the square on the hypotenuse (…
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what type of angle has a measured value of more than 90 degrees but les…
C. Obtuse (obtuso)
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1 multiple choice 10 points what type of angle is shown? ¿qué tipo de á…
C. Obtuse (obtuso)
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identify the 3d figure. trapezoidal prism rectangular prism square pyra…
Rectangular Prism
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Question was provided via image upload.
The coordinates of point \( H \) are \( \boldsymbol{(-4, -2)} \).
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identify the 3d figure. trapezoidal prism rhombus prism hexagonal prism…
Rectangular Prism
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finding angles ∠a and ∠b are supplementary. find m∠a and m∠b. 50. m∠a =…
\(m\angle A = 107^\circ\), \(m\angle B = 73^\circ\)
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identifying 3-d figures - part i identify the 3d figure. image of a 3d …
Triangular Prism
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identifying 3-d figures - part i identify the 3d figure. hexagonal pris…
Cube
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identify the 3d figure. trapezoidal prism hexagonal prism rhombus prism…
Trapezoidal Prism
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question 9 (1 point) if the given triangle is reflected across the x-ax…
Quadrant IV (If original is in Quadrant I) or Quadrant I (If original is in Quadrant IV). But based on the graph, the original triangle is in Quadrant I (x > 0, y > 0), so reflect…