Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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almn is rotated 180° counterclockwise about the origin to produce △lmn.…
\((x,y)\to(-x,-y)\)
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a triangle has vertices at ( r(1,1) ), ( s(-2,-4) ), and ( t(-3,-3) ). …
\((-4,2)\)
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a pentagon is transformed according to the rule ( r_{0,180^{circ}} ). w…
\((x,y)\to(-x,-y)\) (the first option)
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quadrilateral nopq is reflected across the line ( y = x ) to produce qu…
\((y,x)\)
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is \\( \\triangle a b c \\) congruent to \\( \\triangle d e f \\) ? jus…
Yes. A rotation can map \(\triangle ABC\) onto \(\triangle DEF\)
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one vertex of a triangle is located at (0, 5) on a coordinate grid. aft…
\(R_{0,270^{\circ}}\), \(R_{0,-90^{\circ}}\)
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is δklm congruent to δqrs? justify your answer using rigid motions
No. \(\triangle KLM\) is not congruent to \(\triangle QRS\) because their corresponding side lengths are not all equal.
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quadrilateral abcd is transformed according to the rule (x, y) → (y, -x…
\(R_{0,270^{\circ}}\)
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a triangle is rotated 90° about the origin. which rule describes the tr…
\((x,y)\to(-y,x)\) (the second option)
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triangle abc was transformed using the rule $(x,y)\ ightarrow(-y,x)$. t…
The transformation was a \(90^{\circ}\) rotation about the origin.
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one vertex of a polygon is located at (3, -2). after a rotation, the ve…
\(R_{0,90^{\circ}}\), \(R_{0,-270^{\circ}}\)
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graph {x | x > -3 and x < -1}. plot the endpoints. select an endpoint t…
On the number line, place an open circle at \(x=-3\) and an open circle at \(x=-1\), then draw a line segment between them.
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after a rotation of 90° about the origin, the coordinates of the vertic…
\(A(-3,6)\), \(B(-1,-2)\), \(C(-7,1)\)
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graph {x | x ≥ 0 and x ≤ 5}. plot the endpoints. select an endpoint to …
Plot a closed - circle at \(x = 0\), a closed - circle at \(x = 5\), and draw a line segment between them on the number line.
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a rectangle was rotated 270° about the origin the image is shown. which…
\(N(-3,1)\), \(M(-3,2)\)
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graph {x | x < -4 or x ≥ 0}. plot the endpoints. select an endpoint to …
Plot an open circle at \(-4\) and draw an arrow to the left, plot a closed circle at \(0\) and draw an arrow to the right.
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(a) an angle measures 35°. what is the measure of its complement? (b) a…
measure of the complement: \(55^{\circ}\) measure of the supplement: \(154^{\circ}\)
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(a) an angle measures 40°. what is the measure of its supplement? (b) a…
measure of the supplement: \(140^{\circ}\) measure of the complement: \(51^{\circ}\)
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point e is the midpoint of \\( \\overline { a b } \\) and point f is th…
The statement \(CE + EF = FD\) is True.
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point b is the midpoint of ac. which statements about the figure must b…
\(2m\angle DBC = m\angle ABC\), \(BC=\frac{1}{2}AC\)
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raj correctly determined that ray lh is the bisector of ∠gli. which inf…
\(m\angle GLI = 2m\angle GLH\)
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examining a rotation micaela tried to rotate the square 180° about the …
No, the vertices of the image and pre - image do not correspond.
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rotating a negative number of degrees which shows the image of triangle…
The second option (the one with \(Y'\) in the second - quadrant, \(W'\) and \(X'\) in a position corresponding to a \(90^{\circ}\) clockwise rotation) is the correct image of \(\t…
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after a rotation, ( a(-3,4) ) maps to ( a(4,3) ), ( b(4,-5) ) maps to (…
\(R_{0,270^{\circ}}\)
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what is the measure of \\angle dcf? the measure of \\angle dcf is \\squ…
\(129\)
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solve the following inequality and graph the solution: $(x - 2)(x - 4) …
The solution of the inequality \((x - 2)(x - 4)>0\) is \(x<2\) or \(x>4\). On the number line, we draw an open circle at \(x = 2\) and \(x = 4\) (since the inequality is strict, i…
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if jm = 5x - 8 and lm = 2x - 6, which expression represents jl? j k l m…
\(3x - 2\)
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what are the actual base and height of the trampoline? actual base = 10…
60
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if ( pr = 4x - 2 ) and ( rs = 3x - 5 ), which expression represents ( p…
\(7x - 7\)
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what are the actual base and height of the trampoline? actual base = ft…
The actual base is \(12\) ft and the actual height is \(10\) ft.
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which are not changed after a rotation? check all that apply. angle mea…
angle measures, size, shape, position of center of rotation.
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what is the midpoint of \\( \\overline{ad} \\)?
point \(L\)
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what number can you multiply each length in the scale drawing by to fin…
\(2\)
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5. the figure below is a scale drawing of a garden. if the scale used i…
\(54\) feet
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the circle graph shows how the annual budget for a company is divided b…
\(50000000\)
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what number can you multiply each length in the scale drawing by to fin…
The number is \(3\). The actual length is \(12\) ft and the actual width is \(6\) ft.
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what number can you multiply each distance in the scale drawing by to f…
\(4.5\ km\)
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graph the solution to the inequality on the number line. |u| < 7
Graph an open circle at \(-7\), an open circle at \(7\), and shade the region between \(-7\) and \(7\) on the number - line.
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what number can you multiply each distance in the scale drawing by to f…
The number to multiply each distance in the scale drawing is \(0.5\) km per cm. The actual length of the waterfall trail is \(3\) km.
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describe the general properties of rotations. include a discussion of t…
Rotations are rigid transformations. They preserve distances (lengths of line - segments) and angles. Line segments connecting a point and its image after rotation are congruent. …
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writing a rule for a rotation triangle abc was rotated about the origin…
\(R_{0,90^{\circ}}\)
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rotating a figure which shows the image of rectangle abcd after the rot…
The third option (the one where the rotated rectangle \(A'B'C'D'\) is horizontal below the \(x\) - axis)
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practice with rotations. examine the rotation. which best describes poi…
center of rotation
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if a 20 foot ladder is leaned against a wall at a 71° angle with the gr…
$18.91$
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2. determine the missing side lengths. show your calculations and round…
a) \(x\approx14.3\) in b) \(x = 6\) ft
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x (-2,3) y (-2,-1) z (3,-1) lina dilates △xyz with scale factor 3 with …
X' (-6, 9), Y' (-6, -3), Z' (9, -3)
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if a 12 foot ladder is leaned against a wall at a 65° angle with the gr…
$10.88$
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a surveyor 50 feet away from a building measures the angle from the gro…
\(102.52\)
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question 3 select the true statement. dilation creates similar figures …
Dilation creates similar figures with congruent angles.
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owens teacher asked him to dilate polygon a to create polygon c. what s…
3
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give the location of madrid as an ordered pair $(x,y)$. $(x,y)=(\\squar…
\((x,y)=(-8,-8)\)
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a fire truck extends a 90 foot ladder toward a building at a 61° angle,…
\(43.63\)
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give the location of madrid as an ordered pair $(x,y)$.
\((-8,-9)\)
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give the location of atlanta as an ordered pair $(x,y)$.
\((4,-7)\)
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give the location of bern as an ordered pair $(x,y)$. $(x,y)=(\\square,…
\((x,y)=(1,-5)\)
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give the location of denver as an ordered pair $(x,y).$
\((-5,5)\)
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solve for x and graph the solution. (x + 5)(x + 6) < 0 plot the endpoin…
The solution of the inequality \((x + 5)(x + 6)<0\) is \(-6<x<-5\). On the number - line, we plot open circles at \(x=-6\) and \(x=-5\) and shade the region between them.
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a fire truck extends a 120 foot ladder toward a building at a 79° angle…
$117.79$ feet
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solve for x and graph the solution. (x + 2)(x + 5) < 0 plot the endpoin…
The solution of the inequality \((x + 2)(x + 5)<0\) is \(-5<x<-2\). On the number - line, we plot open circles at \(x=-5\) and \(x=-2\) and shade the region between them.
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find the measure of x. round to the nearest hundredth.
\(18.84\)
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find the measure of x. 11 x 28° x = ? round to the nearest hundredth.
\(5.16\)
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find the measure of x. round to the nearest hundredth.
\(18.88\)
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find the measure of x. 18 65° x x = ? round to the nearest hundredth.
$7.61$
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find the area of the triangle abc. a = 47.2° b = 38.7° c = 20.2 m the a…
\( 93.6 \)
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identifying properties of rotations which are properties of rotations? …
Rotations preserve size, Rotations of \(360^{\circ}\) map a figure to itself, Lines connecting the center of rotation to the pre - image and the corresponding point on the image h…
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find the measure of x. round to the nearest hundredth.
\(18.81\)
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a triangular swimming pool measures 46 ft on one side and 32.6 ft on an…
\(30.2\)
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for the vectors u and w with angle θ between them sketch the resultant …
A.
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find the measure of the three missing angles in the rhombus below. answ…
\(x = 95\), \(y = 85\), \(z = 85\)
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find the measure of the three missing angles in the parallelogram below…
\(x = 95\), \(y = 85\), \(z = 85\)
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what is sin a? 25 4√6 23 sin a = ?
\(\frac{23}{25}\)
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find the length of the two missing sides in the parallelogram below. 54…
\(x = 54\), \(y = 130\)
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find the length of the three missing sides in the rhombus below. answer…
\(x = 90\), \(y = 90\), \(z = 90\)
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x is the midpoint of \\( \\overline{uv} \\), y is the midpoint of \\( \…
\(75\)
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find the area of the triangle abc. a = 342 cm b = 236 cm c = 424 cm wha…
\(40317.9\)
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what is cos a? cos a = √17 8 9
$\frac{8}{9}$
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use the figure at the right. if ( be = 4x + 7 ) and ( df = 9x + 12 ), f…
\(30\)
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in the figure at the right, df = 28, bc = 7, and db = 9. find the perim…
\(60\)
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ij is a midsegment of \\( \\triangle fgh \\). \\( ij = 11 \\), \\( fh =…
\(30.5\)
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plot the point $(8, -2)$ and identify the quadrant. click on the graph …
4th Quadrant
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which are characteristics of the graph of the parent absolute value fun…
- The graph is symmetric with respect to the \(y\) - axis. - The graph is a "V" with vertex at the point \((0,0)\). - The two halves of the graph make \(45^{\circ}\) angles with t…
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determine the remaining sides and angles of the triangle abc. the measu…
The measure of angle \(B\) is \(50.7^{\circ}\). The length of side \(a\) is \(18.5\) ft. The length of side \(b\) is \(49.9\) ft.
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which one of the following sets of data determines a unique triangle? c…
A. \(a = 7\), \(b = 24\), \(c = 25\)
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consider the diagram given that r||s and q is a transversal, we know th…
alternate interior angles theorem
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hexagon defghi is translated 8 units down and 3 units to the right. if …
B. \((-6,-6)\)
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find the value of x. 3x + 6 6 x = (simplify your answer.)
\(x = 2\)
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find the value of x. x =
\(x = 20\)
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find the value of x. x =
\(x = 6\)
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a water meter is a dial that monitors and records water usage. the pete…
\(120\)
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for ( u = langle 5, - 2 angle ) and ( v = langle - 1,5 angle ), find ( …
\(-15\)
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triangle abc was translated according to the rule ( t_{4.5,-6.2}(x,y) )…
\((-5.5,3.2)\) (the third option)
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triangle knm is shown. what is true about the sides of knm? kn = nm kn …
\(KN = NM\)
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braden has a new adjustable outdoor basketball hoop. at its lowest sett…
\(x = 75^{\circ}\)
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estelle works at a small market that sells cheese. one of estelles jobs…
\(x = 105^{\circ}\)
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laura and her family were first in line for the ferris wheel, which has…
\(135^{\circ}\)
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find the value of x. x = (simplify your answer.)
\(x = 48\)
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points e, d, and h are the midpoints of the sides of \\( \\delta tuv \\…
176
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points e, d, and h are the midpoints of the sides of \\( \\triangle tuv…
\(52\)
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triangle xyz is isosceles. angle y measures a°. what expression represe…
\(180 - 2a\) (the option \(180 - 2a\))
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solve the triangle with the given parts. a = 99.6°, b = 7, c = 11 what …
The length of side \(a\) is approximately \(14.0218\). The measure of angle \(B\) is approximately \(29.5^{\circ}\). The measure of angle \(C\) is approximately \(50.9^{\circ}\).