Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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determine the length of x and y to the nearest tenth of a centimetre. 4…
D. $x\approx6.4$ cm, $y\approx7.8$ cm
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a location with no size or shape. * choose two segments that have the s…
First question: Point Second question: Congruent segments
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determine the length of c to the nearest tenth of a centimetre. 3 cm 67…
C. 7.7 cm
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5. given $overline{ac}$ with $a(3,4)$ and $c(-9,-2)$, if $b$ partitions…
The coordinates of \(B\) are \((1,3)\)
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a line, ray, or segment that divides an angle or segment into two equal…
Bisector
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find an equation of the circle centered at (x, y) = (-1, 6) with a radi…
$(x + 1)^2+(y - 6)^2=81$
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a measurable part of a line consisting of two endpoints. * choose
Line - segment
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find an equation of the circle centered at (x, y) = (-1, 6) with a radi…
\((x + 1)^2+(y - 6)^2=81\)
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points that lie on the same line. * choose this is a required question
Collinear points
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1. use the figures shown to complete parts (a) through (d). a. describe…
a. Figure 1 is translated 1 unit horizontally to the right and 8 units vertically down to move onto Figure 2. b. Let the coordinates of a point in Figure 1 be $(x,y)$. The coordin…
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1 number the paragraphs. 2 circle key words, names, dates, events, and …
4. Although not directly stated, indigenous groups' survival and adaptation efforts imply they respected and utilized their environment to thrive. 5. Mesa people made adobe houses…
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made up of points with no thickness or width; extends indefinitely in b…
Line
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if t is the midpoint of $overline{su}$, find x. $8x + 11$ $12x - 1$ t u
$x = 3$
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6. if b is the mid - point of $overline{ac}$, and $ac = 8x - 20$, find …
$26$
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8. - / 1 points give an equation of the circle with its center at the o…
\(x^{2}+y^{2}=25\)
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name this formula. * $sqrt{(x - x)^{2}+(y - y)^{2}}$
Distance formula (in a degenerate case where the two points are the same)
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7. - / 2 points find the center and the radius r of the circle given by…
center $(x,y)=(-5,6)$ radius $r = 7$ units
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a flat surface made up of points that extends indefinitely in both dire…
Plane
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find the center and the radius r of the circle with the following equat…
center $(x,y)=(0,0)$ radius $r = 7$ units
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the coordinates on a map for city a are (53, 13) and those for city b a…
88
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4. if df = 9x - 39, find ef. d 47 e 3x + 10 f
58
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find the coordinates of the midpoint of the line segment that joins the…
$(-2.5,-6.5)$
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find the coordinates of the midpoint of the line segment that joins the…
$(-2.5,-2)$
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these figures are congruent. what is rp? feet
73
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2. -/1 points find the distance between the two points. simplify your a…
$\sqrt{194}$
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find the distance between the two points. simplify your answer, and wri…
$9$
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8. if (overline{bd}congoverline{bc}), (bd = 5x - 26), (bc = 2x+1), and …
24
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use the figure below to answer questions #19 - 20. find the value of xy…
#19: 51 #20: 15
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7. if r is the mid - point of $overline{qs}$, $rs = 2x - 4$, $st = 4x -…
68
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$overline{pq}$ has endpoints at $p(8.7, 0.4)$ and $q(-2.2, -8.8)$. find…
$(3.25,-4.2)$
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1-43. a man who is 6 feet tall is walking at a rate of 4 feet/second, d…
a. 30 feet b. $6t$ feet
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cd has endpoints at c(7.8, -5.2) and d(9.8, -9.1). find the midpoint m …
$(8.8,-7.15)$
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kl has endpoints at k(12.5, 15.1) and l(5.7, 4.6). find the midpoint m …
$(9.1,9.85)$
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7. if r is the mid - point of $overline{qs}$, $rs = 2x - 4$, $st = 4x -…
# Explanation: ## Step1: Use mid - point property Since R is the mid - point of QS, then QR = RS. Also, QT=QS + ST and QT = RT+RQ. And RT=RS + ST. Given RS = 2x - 4, ST = 4x - 1, …
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v(-51, -5) and w(97, 7) are the endpoints of a line segment. what is th…
$(23,1)$
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complete the congruence statement. △opq ≅ △
$\triangle UYT$
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the width of a rectangle measures (2.4s - 3.3t) centimeters, and its le…
$15.8s - 15.4t$
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5. if r is the mid - point of qs, find qs. q 5x - 3 r 21 - x s
34
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combine like terms (basic, decimals) score: 3/5 penalty: 1 off question…
$31d + 33f$
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j(16, 21) and k(75, 24) are the endpoints of a line segment. what is th…
$(45.5,22.5)$
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uv has endpoints at u(-80, -82) and v(-22, -41). find the midpoint m of…
$(-51,-61.5)$
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a triangle has side lengths of (3.3u + 6.4) centimeters, (9.9u - 2.9) c…
11 + 13.2u + 4.2v
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2. if qr = 17 and pr = 21, find pq.
4
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if $overline{lk}congoverline{mk}, lk = 7x - 10, kn=x + 3, mn=9x - 11$, …
46
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1. if pq = 9 and qr = 28, find pr.
37
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a triangle has side lengths of (6.2v + 5.4w) centimeters, (5.2v - 6.7x)…
$-4.6x + 11.4v+0.1w$
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p(7, 78) and q(58, 81) are the endpoints of a line segment. what is the…
$(32.5,79.5)$
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notes circumference is the around a circle. c = 2 x 3.14 x r (r = radiu…
a) $31.4$ cm b) $50.24$ m
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gh has endpoints at g(10, -1) and h(1, -20). find the midpoint m of gh.…
$(5.5,-10.5)$
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t(-6, 6) and u(3, -6) are the endpoints of a line segment. what is the …
$M=(-1.5,0)$
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use the figure below to answer questions #15 - 18. g is the midpoint of…
#15: 5 #16: 50 #17: 50 #18: 100
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kl has endpoints at k(-3, 4) and l(-15, 1). find the midpoint m of kl. …
$M=(-9,2.5)$
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17. if np bisects ∠mnq, m∠mnq=(8x + 12)°, m∠pnq = 78°, and m∠rnm=(3y - …
$x = 18$, $y = 29$
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a line segment has the endpoints j(20, -6) and k(-10, 0). find the coor…
$(5,-3)$
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2. what is the definition of congruence? a. if two figures have the sam…
D. If there is a sequence of rotations, reflections, and translations that take one figure to the other, then they are congruent.
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16. find the values of x and y. (5x - 17)° (2y + 5)° (3x - 11)°
\(x = 3,y = 43.5\)
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1. here are 4 triangles that have each been transformed by a different …
D.
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3. find the missing measures. 107° x° y° z°
$x = 73$, $y = 73$, $z = 107$
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15. find the values of x and y. (x + 10)° (18y + 5)° (10x - 61)°
\(x = 7\), \(y=\frac{79}{9}\)
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date one plucked peacock find the diagram that matches each description…
1. W 2. A 3. A 4. F 5. A 6. S 7. I 8. T 9. E 10. W 11. F 12. U 13. U 14. T 15. B
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q(4, 1) and r(8, 9) are the endpoints of a line segment. what is the mi…
$(6,5)$
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2. find the missing measure. 51° x°
$x = 51$
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13. if bd ⊥ ac, m∠dbe=(2x - 1)°, and m∠cbe=(5x - 42)°, find the value o…
$x = 19$
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for *3, use the figure at the right. a) name two acute vertical angles.…
a) $\angle EKH$ and $\angle GKF$ b) $\angle EKG$ and $\angle HKF$ c) $\angle EKH$ and $\angle EKG$ d) $\angle FKG$ and $\angle GKJ$ e) $\angle GKJ$ f) $\angle EKG$
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1. find the missing measure.
\(25\)
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11. find the value of x. (6x + 7)° (8x - 17)°
\(x = 12\)
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use the figure below to answer questions #11 - 14. #11: x = ____ * 7 #1…
#11: \(x = 7\) #12: \(AB = 39\) #13: \(BC = 13\) #14: \(AC = 52\)
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9. if $overline{lk}congoverline{mk}$, $lk = 7x - 10$, $kn=x + 3$, $mn=9…
$46$
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the midpoint m of $overline{fg}$ has coordinates (-15.4, 2.8). point f …
$G=(-17.3,-3.3)$
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2) stair railing: a stair railing is designed as shown in the figure. u…
a) $\angle1$ & $\angle2$, $\angle3$ & $\angle4$ b) $\angle1$ & $\angle5$, $\angle4$ & $\angle5$ c) $\angle5$ & $\angle7$, $\angle6$ & $\angle8$ d) $\angle1$ & $\angle5$, $\angle4$…
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the midpoint of $overline{fg}$ is $m(8.8, 12.7)$. one endpoint is $g(5.…
$(12.5,12.2)$
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which rule explains why these triangles are congruent? sas sss aas asa …
These triangles cannot be proven congruent
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10. if ∠b is two more than three times the measure of ∠c, and ∠b and ∠c…
$m\angle B = 68^{\circ}$, $m\angle C=22^{\circ}$
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the midpoint of $overline{rs}$ is $m(11.35, 6.75)$. one endpoint is $s(…
$(15.3,2.6)$
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rs has a midpoint at m(20.5, 18.5). point r is at (38, -26). find the c…
$(3,63)$
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9. if m∠p is three less than twice the measure of ∠q, and ∠p and ∠q are…
$m\angle P = 119^{\circ}$, $m\angle Q = 61^{\circ}$
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4) m is the mid - point of. draw a figure to represent this situation, …
13
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read a second text about drinking straws. in the past, drinking straws …
- Straws are now a regularly dispensed item at many restaurants. - Staff at some restaurants avoid automatically providing straws to customers. - Discarded straws present hazards …
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the midpoint of $overline{pq}$ is $m(84.5, 54)$. one endpoint is $p(75,…
$(94,91)$
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given m || n, find the value of x and y.
\(x = 6\), \(y = 132\)
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the midpoint of $overline{pq}$ is $m(84.5, 54)$. one endpoint is $p(75,…
$(94,91)$
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a circle has the equation x² + y² + 4x - 2y - 20 = 0. (a) find the cent…
(a) Center: \((-2,1)\), Radius: \(5\) (b) To graph the circle, plot the center \((-2,1)\) and then use the radius of \(5\) to draw the circle. (c) \(x\) - intercepts: \((-2 + 2\sq…
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given (mparallel n), find the value of (x).
\(x = 36\)
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the midpoint m of $overline{uv}$ has coordinates (64.5, -46.5). point v…
\((63,-64)\)
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qr has a midpoint at m(12, 3.5). point q is at (20, 0). find the coordi…
$(4,7)$
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8. \\(\\angle k\\) and \\(\\angle l\\) are complementary angles. if (m\…
\(m\angle K = 24^{\circ}\), \(m\angle L=66^{\circ}\)
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gh has a midpoint at m(-9.5, -4.5). point h is at (-15, -11). find the …
$G=(-4,2)$
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this diagram is a straightedge and compass construction. c is the cente…
Length of Segment \(AB\): No information to determine. Length of Segment \(AD\): No information to determine. Segment \(AC\) is equal to \(CD\) because \(AC\) and \(CD\) are radii…
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part b: close read questions answer in complete sentences, citing text …
7. Their daily routines suggest they may be introverted and have a secluded lifestyle as they don't go out much. 8. The house has a dominant and potentially restrictive role in th…
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a circle has the equation x² + y²+4x - 2y - 20 = 0. (a) find the center…
(a) The center $(h,k)$ is $(-2,1)$. (b) To graph the circle, plot the center $(-2,1)$ and then draw a circle with radius $r = 5$. (c) **x - intercepts**: Set $y = 0$ in the equati…
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the midpoint m of $overline{vw}$ has coordinates (-4, -2.5). point w ha…
$(-4,7)$
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find the midpoint of the segment with the following endpoints. (-10, -4…
$(-6,0)$
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kl has a midpoint at m(15.5, 7.5). point l is at (16, 11). find the coo…
$(15,4)$
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the midpoint m of $overline{bc}$ has coordinates (13.5, 5). point c has…
$(13,-5)$
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find the midpoint of the segment with the following endpoints. (7,6) an…
$(5,4)$
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find the standard form of the equation of the circle with endpoints of …
$(x - 1)^2+(y - 7)^2=65$
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pq has a midpoint at m(11.5, 11). point p is at (3, 6). find the coordi…
$(20,16)$
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uv has a midpoint at m(6, 3). point u is at (3, 9). find the coordinate…
$(9,-3)$
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find the midpoint of the segment with the following endpoints. (-1, -1)…
$(2,-3)$
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david wants to replace a glass window in his restaurant. the window is …
$605$