Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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select all the pairs of vertical angles. ∠hge and ∠fgj ∠ij g and ∠kjl ∠…
$\angle HGE$ and $\angle FGJ$, $\angle IJG$ and $\angle KJL$, $\angle HGJ$ and $\angle FGE$
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select all the pairs of adjacent angles. ∠ghj and ∠ihj ∠fec and ∠dec ∠i…
∠GHJ and ∠IHJ, ∠FEC and ∠DEC, ∠IHE and ∠IHJ, ∠IHE and ∠GHE
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which angles are supplementary angles? ∠wxz and ∠tux ∠wxu and ∠wxz ∠yxz…
∠WXU and ∠WXZ
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which angles are alternate interior angles? ∠tsp and ∠tsu ∠tsp and ∠ops…
$\angle TSP$ and $\angle OPS$
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which angles are corresponding angles? ∠vwt and ∠vwy ∠utr and ∠utw ∠vwt…
$\angle VWT$ and $\angle STR$
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which angles are alternate exterior angles? ∠qps and ∠tsp ∠tsu and ∠tsp…
$\angle QPN$ and $\angle RSU$
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find the reference angle for $\frac{20pi}{9}$.
$\frac{2\pi}{9}$
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which angles are consecutive interior angles? ∠bcf and ∠efc ∠efc and ∠e…
$\angle BCF$ and $\angle EFC$
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find the reference angle for $-\frac{19pi}{6}$.
\(\frac{\pi}{6}\)
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which angles are adjacent angles? ∠srt and ∠pom ∠srt and ∠nor ∠srt and …
$\angle SRT$ and $\angle SRO$
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10) solve and graph the inequality n - 5 > 4(4 - 6)
The solution of the inequality is $n>-3$. The graph has an open circle at - 3 and shading to the right.
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which angles are adjacent angles? ∠onk and ∠lki ∠onk and ∠jkn ∠mnk and …
$\angle MNK$ and $\angle ONK$
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10. graph x = -0.5.
Draw a vertical line passing through the point \((-0.5,0)\) on the \(x\) - axis, which extends infinitely in the positive and negative \(y\) - directions.
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which angles are alternate interior angles? ∠stw and ∠vwt ∠stw and ∠vwy…
$\angle STW$ and $\angle VWT$
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which angles are alternate interior angles? ∠stw and ∠vwt ∠stw and ∠vwy…
$\angle STW$ and $\angle VWT$
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write a rule to describe each transformation. 7) 8) 9) 10) 11) 12)
Without specific details about the figures (such as coordinates of vertices), we cannot provide exact transformation rules. General rules for translations, reflections, rotations …
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the lengths of two adjacent sides of a rectangle are 2x + 3 and x - 7, …
$40=2((2x + 3)+(x - 7))$
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directions: find the value of 6. converse:
\(x = 7.75\)
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the length of a rectangle is 1 yd more than double the width, and the a…
The width of the rectangle is $4.5$ yards and the length is $10$ yards.
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find the reference angle for 228°.
$48$
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find the reference angle for - 105°.
\(75\)
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find the reference angle for $\frac{6pi}{5}$. radians
$\frac{\pi}{5}$
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compositions of reflections review find a composition of two reflection…
The first blank: vertical; the second blank: 7; the third blank: 1.5
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find the reference angle for $-\frac{2pi}{3}$. radians
\(\frac{\pi}{3}\)
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click on the area of the square. 64 square centimeters 88 square centim…
64 square centimeters
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what is the volume of this cube? 1 ft 1 ft 1 ft 3 cubic feet 1 cubic fo…
1 cubic foot
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what is the volume of the container? 10 inches 12 inches 5 inches 120 c…
600 cubic inches
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the chinese zodiac is also called the a ring of planets. b circle of an…
# Breve explicación: El zodíaco chino consiste en doce animales representativos. Por lo tanto, también se le conoce como el Círculo de Animales. # Respuesta: B. Circle of Animals.
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a box is shaped like a cube. the box has a length of 1 foot, a width of…
B. 1 cubic foot
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review what types of symmetry does the flag have? step 1 look for lines…
The flag has 4 lines of symmetry, the smallest angle of rotational symmetry is 90°, and it has point symmetry.
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for the following right triangle, find the side length x.
26
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example 1 identify transformations for symmetry try it! 1. b. what tran…
A reflection across a vertical line through the center of the sign and a 180 - degree rotation about the center of the sign.
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for the following right triangle, find the side length x.
25
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for the following right triangle, find the side length x.
29
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these solids are similar. find the volume of the larger solid. h = 4 m …
\(875m^{3}\)
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these solids are similar. find the surface area of the smaller solid. h…
\(40\)
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example 1 identify transformations for symmetry try it! 1. b. what tran…
Reflection across the vertical line of symmetry and rotation of 180 degrees about the center of the figure.
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explain how to plot the point (6, - 3) in a coordinate plane. graph eac…
To plot the point $(6,-3)$: start at the origin, move 6 units to the right along the $x$ - axis and then 3 units down along the $y$ - axis. The point lies in the fourth quadrant.
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17) explain how to plot the point (6, - 3) in a coordinate plane. first…
18) A(5,6): Plot by moving 5 units right and 6 units up, Quadrant I 19) B(0,4): Plot on y - axis (0 units right, 4 units up), y - axis 20) C(2, - 4): Plot by moving 2 units right …
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example 1 identify transformations for symmetry try it! 1. a. what tran…
Rotations by multiples of $60^{\circ}$ about its center and reflections across its 6 lines of symmetry.
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each region below is being rotated about the line l. for each region, i…
(a) A combination of a frustum of a cone and a cylinder (b) A cone (c) A cone
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for each set of three lengths, determine if they can be the side length…
7, 7, 25: Cannot be side lengths of a triangle 11, 6, 15: Can be side lengths of a triangle 13.0, 3.6, 10.3: Can be side lengths of a triangle 9, 20, 15: Can be side lengths of a …
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for each set of three lengths, determine if they can be the side length…
13, 5, 21: Cannot be side lengths of a triangle 25, 14, 6: Cannot be side lengths of a triangle 7, 5, 21: Cannot be side lengths of a triangle 7.8, 9.6, 16.6: Can be side lengths …
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24. ∠1 and ∠2 are supplementary angles. ∠1 and ∠3 are vertical angles. …
\(157^{\circ}\)
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find net of this solid.
The net consists of two congruent circles and a rectangle where the length of the rectangle is equal to the circumference of the circle and the width is the height of the cylinder…
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use the graph to the right to complete the following. for the graph, ti…
a. A. The x - intercept(s) is/are -2,1 b. The y - intercept is -3
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19. solve for x: 2x + 26° 5x + 14°
$x = 4$
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geometry with statistics honors - ferraro - 2 - a topic 4: readiness as…
B. No; the triangles have the same angle measures, but there is no information about the sides.
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solve for v and graph the solution. v - 1 - 12v ≥ 10 or 7v + 19 < 9v + …
The solution of the compound inequality is $v\leq - 1$ or $v>6$. On the number - line, there is a closed circle at $v=-1$ (for $v\leq - 1$) and an open circle at $v = 6$ (for $v>6…
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solve for j and graph the solution. 19 > j + 3 ≥ 3 plot the endpoints. …
$0\leq j<16$ To graph: Place a closed circle at 0 (because $j$ can equal 0) and an open circle at 16 (because $j$ cannot equal 16), and draw a line segment between them on the num…
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18. solve for x: 3x + 134° 5x + 6°
$x = 64$
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solve for q and graph the solution. -2q - 3 > -3 or $\frac{q + 11}{4}>4…
The solution of the compound inequality is $q < 0$ or $q>5$. On the number - line, there is an open - circle at $q = 0$ with a line extending to the left and an open - circle at $…
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use the protractor below to find the requested angle measure. assume al…
8. $130^{\circ}$ 9. $50^{\circ}$ 10. $80^{\circ}$ 11. $100^{\circ}$ 12. $140^{\circ}$ 26. 2 27. $M$, $N$, $R$, $X$ (answers may vary) 28. $W$, $S$, $M$ (answers may vary) 29. $M$,…
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14. the measurement of angle d is 31°. classify angle d as an acute, ri…
Acute angle
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solve for d and graph the solution. -13 < 3d - 7 < -10 plot the endpoin…
The solution of the inequality is $-2 < d<-1$. On the number - line, we use open circles at $d=-2$ and $d = - 1$ (since the inequality is strict, i.e., $<$ and not $\leq$) and dra…
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solve for z and graph the solution. (\frac{z + 14}{3}<5) or (\frac{3z -…
The solution of the compound - inequality is $z<1$ or $z > 4$. On the number - line, we have an open circle at $z = 1$ and shade to the left of 1, and an open circle at $z = 4$ an…
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chapter 1 review 12. if m∠goi = 44° and m∠hoi = 24°, then what is the m…
\(20^{\circ}\)
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find the perimeter. include the unit. 12 yd 8 yd 8 yd
28 yd
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geometry with statistics honors - ferraro - 2 - a topic 4: readiness as…
D. No; the angles have no relationship.
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2. definition of complementary angles: if (mangle1 + mangle2 = 90^{circ…
$\angle1$ and $\angle2$ are complementary angles.
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solve for r and graph the solution. 3 < (r + 8)/3 < 4 plot the endpoint…
The solution for $r$ is $1<r<4$. On the number - line, the endpoints at $r = 1$ and $r = 4$ are open circles (since the inequality is strict, i.e., $<$ and not $\leq$), and the li…
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9. find the midpoint between the points (5, 5) and (9, 2).
$(7,3.5)$
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solve for m and graph the solution. m - 18 ≥ -12 or 3m - 4 < -7 plot th…
The solution is $m\lt - 1$ or $m\geq6$. On the number - line, there is an open circle at $m=-1$ (since $m\lt - 1$) and a closed circle at $m = 6$ (since $m\geq6$). The graph has a…
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answer attempt 1 out of 2 qr is a segment bisector. qr is a perpendicul…
QR is a segment bisector.
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geometry with statistics honors - ferraro - 2 - a topic 4: readiness as…
B. 67.38
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find the midpoint of points a(-6, -10) and b(-2, 0) graphically. plot t…
$(-4,-5)$
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geometry with statistics honors - ferraro - 2 - a topic 4: readiness as…
C. 13
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the length of a rectangle is six times its width. if the area of the re…
70 m
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geometry with statistics honors - ferraro - 2 - a topic 4: readiness as…
C. 13
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18. if $overrightarrow{uw}$ bisects $angle tuv$, $mangle tuw=(13x - 5)^…
18. $x = 6$ 19. $x = 15$ 20. $x = 8$, $m\angle DEB = 77^{\circ}$
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geometry with statistics honors - ferraro - 2 - a topic 4: readiness as…
A. 22.62
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the statue of liberty is approximately 305 feet tall. if the angle of e…
763 feet
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geometry with statistics honors - ferraro - 2 - a topic 4: readiness as…
A. Yes; $\triangle ABC$ maps onto $\triangle XYZ$ with a translation and a rotation.
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solve for b and graph the solution. 5b + 12 ≥ 12 or b + 20 < 12. plot t…
The solution is $b\geq0$ or $b < - 8$. On the number - line, we have an open circle at $b=-8$ (since $b < - 8$) and a closed circle at $b = 0$ (since $b\geq0$). The graph has a ra…
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deriving the law of cosines follow these steps to derive the law of cos…
re - arranging the terms
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deriving the law of cosines follow these steps to derive the law of cos…
$c\cos(A)$
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the statue of liberty is approximately 305 feet tall. if the angle of e…
534 feet
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the statue of liberty is approximately 305 feet tall. if the angle of e…
534 feet
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the radius, r, of a sphere is 9.4 mm. calculate the spheres volume, v. …
$3459.1$
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solve for d and graph the solution. 7d + 4 < 4 or d - 7 > 3 plot the en…
The solution is $d < 0$ or $d>10$. On the number - line, for $d < 0$, the endpoint at 0 is open (a hollow circle) and the line extends to the left. For $d>10$, the endpoint at 10 …
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5. if rs = 34.1 and qs = 68, find qr. a 33.9 b 23.9 c 102.1 d 34.1
A. 33.9
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solve for x and graph the solution. -3 ≤ x - 18 < -2 plot the endpoints…
The solution of the inequality is $15\leq x\lt16$. On the number line, a closed circle is placed at $x = 15$ (because $x$ can equal 15) and an open circle is placed at $x = 16$ (b…
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deriving the law of cosines follow these steps to derive the law of cos…
Pythagorean theorem
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point d is shown in the coordinate plane. plot the image point for each…
a. The coordinates of image \(A\) are \((-3,2)\). b. The coordinates of image \(B\) are \((4,-2)\). c. The coordinates of image \(C\) are \((2,-3)\).
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solve for u and graph the solution. -12 < u - 17 < -7 plot the endpoint…
The solution of the inequality is $5 < u < 10$. On the number line, place open circles at $u = 5$ and $u = 10$ and shade the region between them.
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one of the legs of a right triangle measures 2 cm and its hypotenuse me…
$19.9$ cm
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one of the legs of a right triangle measures 10 cm and the other leg me…
\(17.2\) cm
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find the length of the third side. if necessary, write in simplest radi…
$10$
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the radius r of a sphere is 6.1 mm. calculate the spheres surface area …
$467.4$
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darius transformed figure tuvw to form its image tuvw two times. he use…
In the first graph, the transformation is a reflection over the x - axis. In the second graph, the transformation is a reflection over the y - axis.
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what are the coordinates of the point on the directed line segment from…
\((-4.5,-8)\)
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find the volume of a cone with a base diameter of 6 m and a height of 8…
$75.36$ $m^{3}$
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what are the coordinates of the point on the directed line segment from…
\((-9,8)\)
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13. if (mangle deg=(5x - 4)^{circ}), (mangle gef=(7x - 8)^{circ}), (man…
\(x = 16,y=\frac{175}{9}\) ### 14.
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find the area of the figure. (sides meet at right angles.)
51
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what are the coordinates of the point on the directed line segment from…
\((-4,2)\)
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find the area of the figure. (sides meet at right angles.)
$57$
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find the area of the figure. (sides meet at right angles.)
39
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find an equation for the perpendicular bisector of the line segment who…
$y=x + 10$
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∠1 and ∠2 are supplementary angles. if (mangle1=(2x + 16)^{circ}) and (…
\(62^{\circ}\)