几何
三角形、圆、解析几何与证明题。
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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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16. find the values of x and y. (5x - 17)° (2y + 5)° (3x - 11)°
\(x = 3,y = 43.5\)
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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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3. there is a sequence of rigid transformations that takes a to a, b to…
To actually draw D', first, if it is a translation, measure the displacement vector from A to A', B to B', and C to C' and apply the same displacement to D. If it is a rotation, f…
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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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what is the definition of congruence? a. if two figures have the same s…
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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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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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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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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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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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 of $overline{qr}$ is $m(45, 58.5)$. one endpoint is $r(64,…
$(26,71)$
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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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the midpoint of $overline{jk}$ is $m(-6.5, -7.5)$. one endpoint is $j(-…
$(-5,-3)$
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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 …
$605$
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find the midpoint of the segment with the following endpoints. (5, 7) a…
$(1,8.5)$
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a circle has the equation (x^{2}+y^{2}+2x - 8y-19 = 0). (a) find the ce…
(a) Center \((-1,4)\), radius \(r = 6\) (b) To graph the circle, plot the center \((-1,4)\) and then use the radius of \(6\) units to draw the circle around the center. (c) \(x\) …
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3 from unit 1, lesson 5 this diagram is a straightedge and compass cons…
3. Steps of angle - bisector construction: 1. With compass at \(A\), draw an arc intersecting the sides of \(\angle BAC\) at \(B\) and \(C\). 2. With compass at \(B\), draw an arc…
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∠1 and ∠2 are vertical angles. if m∠1=(17x + 1)° and m∠2=(20x - 14)°, f…
$86^{\circ}$
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kevin wants to buy new carpet for his living - room floor. the floor is…
$1782$
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lesson 6 8 problems practice problems 1 which of the following construc…
1. C 2. B, C, D
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elsa is staining the wooden floor of a court. the court is in the shape…
16
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find the distance between the points (-2, 0) and (1, -10). write your a…
$\sqrt{109}$
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a circle has the equation x² + y²+2x - 8y - 19 = 0. (a) find the center…
(a) Center \((-1,4)\), radius \(r = 6\) (b) For graphing, use the center \((-1,4)\) and radius \(r = 6\) to draw the circle. (c) \(x\) - intercepts: \((-1 + 2\sqrt{5},0),(-1-2\sqr…
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find the distance between the points (3, 9) and (4, 5). write your answ…
$\sqrt{17}$
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find the distance between the points (-4, -3) and (5, -3). distance:
9
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∠1 and ∠2 form a linear - pair. if m∠1=(5x + 9)° and m∠2=(3x + 11)°, fi…
\(m\angle1 = 109^{\circ}\), \(m\angle2 = 71^{\circ}\)
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5. if the measure of an angle is 38°, find the measure of its complemen…
\(52^{\circ}\)
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in the figure below, m∠abd = 82°, m∠cbd = 56°, and (overline{be}) bisec…
$54$
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a circle has the equation x² + y²+2x - 8y - 19 = 0. (a) find the center…
(a) The center of the circle is $(-1,4)$ (b) To graph: Plot the center $(-1,4)$ and draw a circle with radius $r = 6$. (c) x - intercepts: $x=-1 + 2\sqrt{5},x=-1 - 2\sqrt{5}$; y -…
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find the length of each segment. #9: if ab = 8 and bc = 24, then ac = _…
#9: 32 #10: 51
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in the figure below, (mangle nkm = 26^{circ}), (overline{kl}) bisects (…
$52$
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4. if the measure of an angle is 13°, find the measure of its supplemen…
\(167^{\circ}\)
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15 multiple choice 1 point what criteria can be used to prove these two…
C. AAS
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14 multiple choice 1 point what criteria can you use to show these two …
C. AAS
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in the figure below, m∠abd = 96°, m∠ebd = 27°, and be bisects ∠cbd. fin…
$42$
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a circle has the equation x² + y²+4x - 2y - 4 = 0. (a) find the center …
(a) Center: $(-2,1)$, Radius: $3$ (b) Graph the circle with center $(-2,1)$ and radius $3$ (using a graphing tool as instructed in the problem - this step is more visual and not s…
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8. the width of a rectangle garden is 5 feet less than its length. if t…
Equation: $50=2(l+(l - 5))$ Length: $15$ ft Width: $10$ ft
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13 multiple choice 1 point what criteria can be used to prove these two…
D. HL
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(b) let x be the length of the hypotenuse. use the triangle you drew an…
Without given values for the legs of the right - triangle in the problem, we can't provide a definite answer. If the legs are \(6\) and \(8\), then: For part (c): \(x = 10\) For p…
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what is the mid - point of the points (8, - 4) and (2, - 7)?
$(5,-5.5)$
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use the figure to complete each part. (a) name the vertex of ∠sqr. (b) …
(a) $Q$ (b) $\overrightarrow{QR}$, $\overrightarrow{QS}$ (c) $\angle TQR$, $\angle RQT$
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proportion word problems answer each question and round your answer to …
1. 5 2. 2 3. 3 4. 3 5. 4 6. 18 7. 8 8. 16 9. 10 10. 33
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15. if r is the mid - point of $overline{qs}$, $rs = 2x - 4$, $st = 4x …
80
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find the perimeter of the rectangle. include the unit. 21 cm 28 cm
98 cm
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a circle has the equation x² + y² + 4x - 2y - 4 = 0. (a) find the cente…
(a) Center: $(-2,1)$; Radius: $3$ (b) To graph the circle, plot the center $(-2,1)$ and then use the radius of $3$ to draw the circle. (c) $x$ - intercepts: $x=-2 + 2\sqrt{2}\appr…
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12 true or false 1 point when an object is rotated around a point, the …
True
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use the figure to complete each part. (a) write two other names for ∠ef…
(a) $\angle HFE$, $\angle 2$ (b) $F$ (c) $\overrightarrow{FG}$, $\overrightarrow{FE}$
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the midpoint of $overline{ab}$ is $m=(6,4)$. one endpoint is $a=(8,6)$.…
\((4,2)\)
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4 true or false 1 point under the translation (x + 3, y - 1) the point …
False
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find the perimeter of the square. include the unit. 11 m
44 m
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find the perimeter of the square. include the unit. 22 yd explanation t…
88 yd
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11 true or false 1 point if point (x, y) is rotated 270 degrees about t…
True
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calculate the distance between the points k=(8, 0) and j=(5, - 4) in th…
$5$
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10 multiple choice 1 point △ abc has been rotated ______ counter - cloc…
90 degrees
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find the area of the rectangle 7 ft 40 ft square feet
280
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find the slope m of the line through the following pair of points and d…
$-\frac{1}{2}$
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a circle has the equation x² + y²+4x - 2y - 4 = 0. (a) find the center …
(a) Center: \((-2,1)\) Radius: \(3\) (c) \(x\) - intercepts: \(x=-2 + 2\sqrt{2}\approx0.83\) and \(x=-2-2\sqrt{2}\approx - 4.83\) \(y\) - intercepts: \(y=1+\sqrt{5}\approx3.24\) a…
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calculate the distance between the points g = (-8, 9) and c = (-1, 1) i…
$\sqrt{113}$
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9 multiple choice 1 point △abc has been rotated ______ counter - clockw…
180 degrees
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find the area of the rectangle. 23 in 9 in
207 in²
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multiple choice 1 point if the pentagon below is to be reflected over t…
Point G
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find the area of the rectangle. 8 m 17 m square meters
136
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multiple choice 1 point if the pentagon below is to be reflected over t…
None of the points would not move.
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13. if b is the mid - point of ac, and ac = 8x - 20, find bc.
26
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multiple choice 1 point if the pentagon below is to be reflected over t…
$G'(0,-4),H'(2,-3),J'(2,2),K'(-2,2),L'(-2,-3)$
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12. if r is the mid - point of qs, find qs. q 5x - 3 r 21 - x s
34
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6 multiple choice 1 point which point is a reflection of point h over t…
Point G
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two checkpoints, a and b, in an orienteering course are 5 km apart. ano…
$2.61$ km
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4 true or false 1 point under the translation (x + 3, y - 1) the point …
False
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word bank revive survivor vivid vivacious mortal immortal mortified mor…
Across - 4: morbid Across - 6: vivid Across - 7: immortal Across - 8: survivor Down - 1: revive Down - 3: vivacious Down - 5: mortal
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triangle def is right angled at f. angle def = 36\\circ and df = 15\\te…
D. $\frac{15}{\cos54^{\circ}}$