Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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question in the diagram below, $overline{ab}paralleloverline{cd}$, $ove…
$54^{\circ}$
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solve the inequality and graph the solution. 15 ≥ 5(g - 1) plot the end…
The solution of the inequality is $g\leq4$. On the number - line, we plot a closed circle at $g = 4$ (since the inequality is $\leq$) and draw a ray to the left.
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the rectangle below has an area of 18x^{3} square meters and a length o…
$9x$
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write the standard form of the equation of the circle with the given ce…
$(x - 6)^2+(y - 1)^2=5$
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solve for a. 15 10 6 o 30 o 25 o 15 o 10
25
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10. what is the volume of the cone shown? (use π = 3.14) a. 130,833.33 …
D. $32,708.33$ $cm^{3}$
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the rectangle below has an area of 27y^5 square meters and a length of …
$3y$ meters
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homework help example 1: exs. 16 - 10 example 2: exs. 20 - 23 example 3…
16. \(KM = 15\), \(ML = 15\) 17. \(DM = 41\), \(ME = 41\) 18. \(YM = 8.5\), \(MZ = 8.5\) 19. \(AM = 1.35\), \(MB = 1.35\) 20. \(CB = 36\), \(AB = 72\) 21. \(MP = 15\), \(MN = 30\)…
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write the standard form of the equation of the circle with the given ce…
$(x + 6)^2+(y - 8)^2=100$
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the rectangle below has an area of 27y^6 square meters and a length of …
$3y^{2}$
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solve for a. 8 3 4 a o 0.5 o 1.5 o 1 o 2
B. 1.5
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question 4 solve for a. 25 10x 2y 4y
D. 4y
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write the standard form of the equation of the circle with the given ce…
$(x - 3)^2+(y - 4)^2=25$
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match each compound inequality with its number line solution. show your…
$12 < k + 2\leq18$ matches the first number - line (open - circle at 10, closed - circle at 16). $2c < - 10$ or $-3c < - 12$ matches the fourth number - line (open - circle at - 5…
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write the standard form of the equation of the circle with the given ce…
$x^{2}+y^{2}=4$
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8. in $\triangle rst$, if $overline{rt}congoverline{st}$, $mangle r=(9x…
For \(\triangle RST\): \(x = 5\), \(m\angle R=47^{\circ}\), \(m\angle S=47^{\circ}\), \(m\angle T=86^{\circ}\). For \(\triangle DEF\): \(x = 9\), \(DE = 13\), \(EF = 28\), \(DF = …
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1. solve the triangles below. a) a 25 cm b 48° 20 cm c
Side \(AC\approx18.86\mathrm{cm}\), \(\angle A\approx52.0^{\circ}\), \(\angle C = 80^{\circ}\)
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find the midpoint of the line segment with the given endpoints. (2,5\\s…
$(-1,6\sqrt{7})$
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find the midpoint of the line segment with the given endpoints. (6,2) a…
$(7,6)$
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the rectangle below has an area of 55x^6 + 22x^4. the width of the rect…
Width = $11x^{4}$ Length = $5x^{2}+2$
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find the distance between the given pair of points. p1: (2/3, 3/8) p2: …
$0.83$
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guided practice vocabulary check 1. in the diagram shown at the right, …
1. Mid - point: $C$, Segment bisector: line $l$ 2. $RM = 3$, $MS = 3$ 3. $FM = 25$, $MG = 25$ 4. $MQ = 4$, $PQ = 8$ 5. $YM = 20$, $YZ = 40$ 6. $x = 47$ 7. $r = 3$ 8. $(3,2)$ 9. $(…
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sort these cards into three groups. (one group will have five cards.) x…
Group 1: $x > - 3$ and $x < 2$, "A number that is greater than -3 AND less than 2.", $-3 < x < 2$, the number - line with open - circles at - 3 and 2 and the segment between them …
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solve for a. a 20 7 4 o 21 o 35 o 14 o 28
35
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find the distance between the pair of points. (0,3\\sqrt{6}) and (-3\\s…
$6\sqrt{3}$
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what is the perimeter of the shape? 3 cm 7 cm 8 cm 12 cm 12 cm 8 cm 7 c…
$60$
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explore the properties of inscribed angles by following these steps. al…
$\frac{1}{2}$
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explore the properties of inscribed angles by following these steps. an…
They change.
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how many pairs of opposite sides are parallel?
2 pairs
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find the distance between (0, - 7) and (4,6). the distance is (round to…
$13.60$
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math 20 - 3: 3d block puzzle challenge goal: build objects with blocks,…
Follow the above steps to accurately draw the top, side, and front views of the 3D block structure at a 1:2 scale on the provided grids.
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find the distance between the pair of points. (0,0) and (-8,6) the dist…
10
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the rectangle below has an area of 8x^5 + 12x^3 + 20x^2. the width of t…
Width = $4x^2$ Length = $2x^3 + 3x + 5$
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find the distance between the pair of points. (5,8) and (17,17) the dis…
$15.00$
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the rectangle below has an area of 12y^5 square meters and a width of 3…
$4y^{2}$
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zohar is using scissors to cut a rectangle with a length of 5x - 2 and …
C. $2(5x - 2)+2(3x + 1)$; 62 centimeters
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find the indicated angle measure. 1. find m∠lmn 2. ∠ghk is a straight a…
Since the problem is incomplete (no specific values or relationships given for most of the angle - finding tasks other than some general statements about angles like straight - an…
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the rectangle below has an area of 144x^{4} square meters and a width o…
$12x^{3}$
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the measure of ∠kjn is 92°. what is the measure of ⌢jmk?
$184^{\circ}$
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nancy a rempli un chapeau danniversaire en forme de cône avec des bonbo…
$301,4$ cm³
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jason remplit le cornet de glace ci - dessus avec de la glace. si lon s…
339.1 cm³
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how could brent use a rectangle to model the factors of x² - 7x + 6? he…
C. He could draw a diagram of a rectangle with dimensions \(x - 1\) and \(x - 6\) and then show the area is equivalent to the sum of \(x^{2},-x,-6x\), and \(6\).
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triangle abc is dilated to form triangle xyz. find the scale factor by …
$\frac{12}{16}=\frac{3}{4}$ The scale factor is $\frac{3}{4}$
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inscribed angle theorem what is the measure of ∠y? 172° 43° 86° 68°
43°
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un ballon de basket a un diamètre de 18 pouces. quel est le volume du b…
$3052,1$ unités cubiques
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question 8 1 pts a m n b 44 cm m is the mid - point of an. n is the mid…
11 cm
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question 6 1 pts m is the mid - point of ab. $am = 2x + 3$, $mb = 13$ w…
5 ### Question 7
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△rst is dilated by a scale factor of 5 with a center of dilation at the…
$T'$ has coordinates $(2, - 4)$.
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question 6 m is the mid - point of ab. am = 2x + 3, mb = 13 what is the…
5
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this question has two parts. use the information to answer part a and p…
Part A: B. $\frac{\text{length }\widehat{AB}}{PA}=\frac{\text{length }\widehat{MN}}{PM}=\frac{\text{length }\widehat{XY}}{PX}$ Part B: C. $\frac{s}{r}=\theta$, where $\theta$ does…
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quest - ce que le volume(dans cubic units) dune sphère avec uneradiusde…
$14130$
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15.) the preimage and image of a trapezoid are graphed below. determine…
Reduction Scale Factor: $\frac{2}{3}$
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question 4 1 pts a 5x + 5 m b 60 cm m is the mid - point of ab. what is…
$x = 5$
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determine whether each statement about angle relationships of a triangl…
A right triangle always has obtuse exterior angles at two vertices: True The sum of the measures of exterior angles minus the sum of the measures of interior angles is 180°: True …
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question 3 1 pts a 105 m 12x - 3 b if m is the mid - point of ab, what …
9
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nathan has a rectangular plot of grass in his backyard that has dimensi…
B. $12 + 6\sqrt{2}+2\sqrt{3}+\sqrt{6}$ square meters
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given: △hjl≅△klj prove: hjkl is a parallelogram move expressions and ph…
| Statement | Reason | |--|--| | $\triangle HJL\cong\triangle KLJ$ | Given | | $\overline{HJ}\cong\overline{KL},\overline{HL}\cong\overline{KJ}$ | Congruent Parts of Congruent Tri…
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question 2 1 pts a m b if you know that am = mb, what else is true? am …
$AM=\frac{1}{2}AB$, $AB = 2AM$, $AB = 2MB$, $M$ is the midpoint of $AB$
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quadrilateral wxyz will be reflected across the x - axis and then rotat…
A. The quadrilaterals will be congruent.
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sandra bought 120 square feet of carpet for a room in her new house. if…
D. $2\sqrt{30}$ feet
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select the statement that describes art history. a.) miguel likes the w…
d.) Marta considers the context and larger meaning of a work of art that she finds appealing.
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a sequence of transformations is performed on △xyz resulting in △xyz. t…
A. $R_{90}$ followed by $R_y$
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given: \\(\\overline{pd}\\) is the perpendicular bisector of \\(\\overl…
Statement 1: $AD = BD$; Reason 1: Definition of bisector Statement 2: $HD = HD$; Reason 2: Reflexive property Statement 3: $m\angle ADH=m\angle BDH = 90^{\circ}$; Reason 3: Defini…
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question #2 find the value of x & y.
$x = 8$, $y = 4\sqrt{2}$
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the figure shows two parallel lines cut by a transversal. which angles …
∠3 and ∠7 are congruent because they are vertical angles. ∠1 and ∠7 are congruent because they are alternate - exterior angles.
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15.) the preimage and image of a trapezoid are graphed below. determine…
# Explicación: ## Paso 1: Comprobar el tamaño de la imagen y la pre - imagen Observamos que la imagen (el trapecio más pequeño) es más pequeña que la pre - imagen (el trapecio más…
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the diagram shows quadrilateral mnpq. what is the length of line segmen…
11 units
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1. the diameter of a circle is 19 cm. find its circumference in terms o…
$19\pi$ cm
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step 1: reflect across the y - axis step 2: step 3: reflect across the …
B. vertical translation down 1 unit
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15.) the pre - image and image of a trapezoid are graphed below. determ…
# Explicación: ## Paso 1: Comprobar el tamaño de la imagen y la pre - imagen Observamos que la imagen (el trapecio más pequeño) es más pequeña que la pre - imagen (el trapecio más…
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explore the properties of inscribed angles by following these steps. 4.…
2
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question the diagram below is a right rectangular prism. all the angles…
$\overline{VX}$ and $\overline{ST}$ (answers may vary, other valid pairs like $\overline{WY}$ and $\overline{RT}$ also exist)
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triangle qrs is rotated 270° clockwise about the origin, translated 2 u…
B. $(4,2)$
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(2) if all the sides of a triangle are congruent, then each angle measu…
A. Does not belong B. Belong C. Does not belong D. Belong
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explore the properties of inscribed angles by following these steps. wh…
$52^{\circ}$
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kaylee designs a logo for her art club, represented by figure stuvw. sh…
\(U'(12,15)\)
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explore the properties of inscribed angles by following these steps. 2.…
angle ABC
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triangle ghu is graphed on a coordinate plane. the transformations list…
D. triangle D
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jackie a rempli un chapeau danniversaire en forme de cône avec des bonb…
$452,2$ $cm^{3}$
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explore the properties of inscribed angles by following these steps. 1.…
$25$
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consider kite abcd. what are the values of x and y? 2x + 7 c b 79° (5y)…
C. \(x = 5,y = 22\)
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in the coordinate - plane, line w and line z are graphed as shown. what…
B. \((10,-6),(12,-6),(12, - 8)\)
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move expressions and reasons into the blanks to complete the proof of s…
1. the Pythagorean Theorem 2. \(a\) 3. \(b\) 4. substitution
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★ question de révision trouvez la longueur de ab.
$\sqrt{41}$
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a sequence of transformations is performed on △abc, resulting in △abc. …
D. R_y followed by T_{-1,-7}
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figure n is transformed to figure n in 3 steps. step 1: horizontal tran…
A. vertical translation up 2 units
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given: if a polygon is regular, then all of its sides are congruent. al…
D. No valid conclusion can be drawn. The given statements are not related in a way that allows either law to apply.
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a kite has a perimeter of 108 feet. one of the longer sides measures 30…
24 feet, 24 feet, 30 feet
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match figures 1,2,3, 4 above with the correct translation rule using th…
FIGURE 1: $(x,y)\to(x + 6,y-4)$ FIGURE 2: $(x,y)\to(x + 4,y-3)$ FIGURE 3: $(x,y)\to(x + 4,y-3)$ FIGURE 4: $(x,y)\to(x - 5,y+3)$
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points f(2, 4), g(4, - 4), et h(2, - 4) sont tracés sur le graphique. q…
B. 8.2
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triangle def is rotated 180° clockwise about the origin, translated 4 u…
B. \((-2,4)\)
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7. the diameter of a circle is 20 m. find circumference in terms of π. …
$20\pi$ m
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hallar el área de un círculo cuyo diámetro mide 12 cm. usar 3.14 como v…
$113.04$ $cm^{2}$
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triangle ghj is graphed on a coordinate plane. the transformations list…
B. triangle B
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7. the diameter of a circle is 20 m. find its circumference in terms of…
$20\pi$ m
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emmanuel is finding the angles of the triangle in the diagram below. he…
Emmanuel is incorrect. The value of \(x\) can be found by solving the equation \(180=(x + 23)+(x - 23)+96\). The value of \(x\) is 42. The angle measures of the triangle are \(96^…
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triangle def, line h, and line k are graphed on the coordinate plane be…
A. \((-4,1),(-7,1),(-4, - 2)\)
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5. the radius of a circle is 7 m. find its c terms of π. c = 2πr c = 2π…
6. 20 cm 7. $20\pi$ m
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determine whether each figure shows parallel lines. select yes or no fo…
1. No 2. Yes 3. Yes 4. Yes
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30. the figure below shows 2 tangent circles such that the 10 - centime…
K. $75\pi$