Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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which statements are true about trapezoid abcd and its translated image…
The first option (The rule for the translation can be written as \(T_{-3,1}(x,y)\)) and the fourth option (The rule for the translation can be written as \((x,y)\to(x - 3,y + 1)\)…
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determine the center and radius of the circle. $(x - 4)^{2}+(y - 5)^{2}…
\(r = 9\)
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determine the center and radius of the circle. $(x - 4)^2+(y - 5)^2 = 8…
The center is \((4,5)\)
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5. square defg with vertices ( d(0,0) ), ( e(2,4) ), ( f(6,2) ), and ( …
\(D'=(0,0)\), \(E'=(5,10)\), \(F'=(15,5)\), \(G'=(10,-5)\)
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determine the center and radius of the circle. $(x + 6)^{2}+(y + 1)^{2}…
Part 1 of 2: The center is \((-6,-1)\). Part 2 of 2: The radius is \(r = 10\).
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which statement describes the order of rotational symmetry for an isosc…
An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
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find the area of this sector if ( r=\frac{3}{4} ) and ( \theta=\frac{pi…
\(\frac{3}{32}\)
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determine the center and radius of the circle. write your answers in si…
The radius is \(r = 2\sqrt{5}\)
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question 2 (1 point) can you use the aas postulate to prove the triangl…
a. yes because vertical angles
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determine the center and radius of the circle. write your answers in si…
The center is \((0,0)\)
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find the area of this sector if ( r = 3 ) and ( \theta = \frac{pi}{4} )…
\(\frac{9\pi}{8}\)
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write an equation that represents the graph of the circle in standard f…
\(x^{2}+y^{2}=1\)
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10. find the vertices of the hyperbola $\\frac{(x - 1)^2}{4}-\\frac{(y …
\((3,-3)\), \((-1,-3)\)
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find the area of this sector if ( r = 2 ) and ( \theta = \frac{pi}{9} )…
\(\frac{2\pi}{9}\)
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9. find the center of the hyperbola with equation \\( \\frac { ( x - 1 …
\((1,-3)\)
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triangle efg has vertices e(-3, 4), f(-5, -1), and g(1, 1). the triangl…
\(T_{2,-4}(x,y)\)
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write an equation of a circle centered at the origin with a radius of 8…
\(x^2+y^2=64\)
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find the area of this sector if ( r = \frac{5}{6} ) and ( \theta = \fra…
\(\frac{25\pi}{108}\)
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8. find the asymptotes of the hyperbola $\\frac{(x - 1)^2}{4}-\\frac{(y…
\(y = 2x-5\), \(y=-2x - 1\)
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6. choose the best answer. a number which measures the degree of curvat…
C. eccentricity
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for each set of three measures, determine if they can be angle measures…
(a) Cannot be angle measures of a triangle (b) Cannot be angle measures of a triangle (c) Can be angle measures of a triangle (d) Cannot be angle measures of a triangle
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which composition of transformations maps figure rstuv to figure r\s\t\…
a reflection across line \(n\) followed by a translation down and to the right.
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5. choose the best answer. the _ axis is the line perpendicular to the …
B. conjugate
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write an equation that represents the graph of the circle in standard f…
\((x + 2)^2+(y + 5)^2=25\)
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4. choose the best answer. the _ axis is the line joining the two verti…
B. transverse
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find the area of this sector if ( r = 4 ) and ( \theta = \frac{pi}{12} …
\(\frac{2\pi}{3}\)
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what is the value of j? 139.1° j
\(40.9\)
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6. given the graph below, find wv.
\( 5 \)
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a transformation of \\( \\triangle def \\) results in \\( \\triangle de…
The transformation is a translation.
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we landed in maui and were greeted with the warm, moist, tropical air. …
1. Hot and humid 2. vacuum 3. Neil Armstrong (the first man on the moon) and Buzz Aldrin were part of the first mission to the moon. (There are other possible non - restrictive el…
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2. choose the best answer. the __ of a hyperbola is the midpoint of the…
center
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here is a balanced hanger. what is the weight of one square if a triang…
\(8\) grams
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triangle def was tranformed to create triangle def. complete the statem…
point \(F\)
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1. choose the best answer. a ___ is the locus of points in a plane such…
hyperbola
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5. square defg with vertices d(0, 0), e(2, 4), f(6, 2), and g(4, -2): k…
| | | | | |--|--|--|--| | \(D'\): \((0,0)\) | \(F'\): \((15,5)\) | \(S'\): \((-5,-1)\) | \(U'\): \((0,-3)\) | | \(E'\): \((5,10)\) | \(G'\): \((10,-5)\) | \(T'\): \((-4,-5)\) | |
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write an equation that represents the graph of the circle in standard f…
\((x + 2)^2+(y + 3)^2=9\)
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find the perimeter of the shaded shape. 1 unit 1 unit units
\(10\)
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7.) if bd ≅ ce and ab ⊥ be and ef ⊥ be then ac ≅ fd
\(AC\cong FD\) is True.
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square pqrs is transformed as shown on the graph. which rule describes …
\(R_{0,180^{\circ}}\)
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write an equation that represents the graph of the circle in standard f…
\((x + 1)^{2}+y^{2}=9\)
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the measure of an angle is 43.9°. what is the measure of its complement…
\(46.1\)
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4. triangle wxy with vertices w(-4, 8), x(10, 0), and y(-2, -8): k = 1/4
\(W'(-1,2)\) \(X'(\frac{5}{2},0)\) \(Y'(-\frac{1}{2},-2)\)
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a square on a coordinate plane is translated 9 units down and 1 unit to…
\(T_{1,-9}(x,y)\) (First option)
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rectangle abcd is the image of rectangle abcd after it has been transla…
\((-1,-2)\), \((7,1)\), \((-1,1)\), \((7,-2)\)
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incenter: the angle of each angle of a triangle meet at the incenter. t…
- median, mid - point, medians, \(\frac{2}{3}\)
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in the diagram below of triangle jkl, m is the midpoint of \\overline{j…
\(100\)
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in the diagram below of triangle abc, d is the midpoint of ac and e is …
\( 45 \)
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what is the value of u?
\(73.7\)
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what is the order of rotational symmetry for a rhombus? 1 2 3 4
2
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in the diagram below of triangle bcd, e is the midpoint of bd and f is …
\(49\)
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write an equation that represents the graph of the circle in standard f…
\(x^{2}+(y + 0.5)^{2}=42.25\)
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which letter in the word happy has an order 2 rotational symmetry? o h …
H
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if the diameter of a circle is 14 ft, what is the radius? the radius of…
7
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in the diagram below of triangle bcd, e is the midpoint of \\( \\overli…
\( 32 \)
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what is the angle? key ideas: orthocenter: the three ____________ of a …
- Orthocenter: altitudes - Circumcenter: bisectors; equidistant - Incenter: bisectors; equidistant - Centroid: median; mid - point; medians; two - thirds
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in the diagram below of triangle ( j k l ), ( m ) is the midpoint of ( …
\( 7 \)
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which triangle has 0 reflectional symmetries?
The first triangle (the top - most triangle in the given image) has \(0\) reflectional symmetries.
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the measure of an angle is 59.1°. what is the measure of its complement…
\(30.9\)
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in the diagram below of triangle jkl, m is the midpoint of jl and n is …
\(20\)
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which statements are true about the lines of symmetry of a regular pent…
C. Every line bisects a vertex angle. D. Every line bisects a side. E. Every line is perpendicular to a side.
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triangle tuv is formed by connecting the midpoints of the side of trian…
\( 22 \)
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for each figure, identify any angles of rotation that create symmetry.
The angle of rotation that creates symmetry for the yin - yang symbol is \(180^{\circ}\)
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attempts 0.5 keep the highest 0.5/2 3. the investment demand curve the …
1. Right 2. Right
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which figure has the same order of rotational symmetry as a rectangle? …
rhombus
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3. the investment demand curve the following table shows the expected r…
1. Left 2. Left
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the measure of an angle is 11.4°. what is the measure of its supplement…
\(168.6\)
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a regular polygon has 15 sides. which is a possible angle of rotational…
$12^{\circ}$
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question 20 1 pts what is the radius of a circle whose circumference is…
\(8'8''\)
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question 19 1 pts express 5.62 radians as degrees rounded to 2 decimal …
322.00 degrees
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what is the smallest angle of rotational symmetry for a square? 45° 90°…
$90^{\circ}$ (the second option)
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question 7 (1 point) could you use sas to prove ( \triangle cba cong \t…
D. no, we only know one side so vertical angles is no help for SAS
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problem 8: spiral review figure qrst is graphed on a coordinate plane. …
| Pre - image Coordinates | Image Coordinates | |----|----| | \(Q(3,-15)\) | \(Q'(-3,-15)\) | | \(R(-6,12)\) | \(R'(6,12)\) | | \(S(0,9)\) | \(S'(0,9)\) | | \(T(-4,-3)\) | \(T'(4,…
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the measure of an angle is 70°. what is the measure of its complementar…
\(20\)
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rstu is a parallelogram. if ( mangle srv = 48^{circ} ) and ( mangle svr…
\(m\angle TUV = 78^{\circ}\)
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in triangles abc and lmn, ∠a = ∠l, ∠b = ∠m, and ∠c = ∠n. is this inform…
No, because the ASA (Angle - Side - Angle) congruence rule requires two angles and the included side to be equal. Here, only angles are given, and no information about the sides (…
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which set of side lengths represents a triangle with 3 lines of reflect…
\(5,5,5\)
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question 18 1 pts what is the circumference of a circle whose diameter …
\(38.5\) in (the fourth option)
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which angle of rotation is an angle of rotational symmetry for all figu…
\(360^{\circ}\)
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question 5 (1 point) can you use the sas theorem to prove the triangles…
C. yes, vertical angles
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how can a regular hexagon be folded to show that it has reflectional sy…
Fold the hexagon along a line that bisects two vertex angles.
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analyzing rotational symmetry if this regular decagon is rotated counte…
\(E\)
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question 17 1 pts determine the length of the median of a trapezoid wit…
36.09 cm
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solve for ( x ) and graph the solution on the number line below. ( -10x…
Inequality Notation: \(x < 9\) For the number line: Draw an open circle at \(9\) (since \(x\) is not equal to \(9\)) and shade the line to the left of \(9\) (because \(x\) is less…
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determining sides from angles of rotational symmetry the smallest angle…
12
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question 16 1 pts a trapezoid is a quadrilateral that has only two side…
True
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13. z(3,8) is the image of z after a dilation centered at the origin wi…
13. The coordinates of \(Z\) are \((2,\frac{16}{3})\). 14. The coordinates of \(H\) are \((3,-8)\).
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determining a figure based on reflectional and rotational symmetry whic…
square
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question 15 1 pts similar polygons have the same number of sides, equal…
False
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the regular nonagon has rotational symmetry of which angle measures? ch…
\(40^{\circ}\), \(120^{\circ}\), \(240^{\circ}\), \(320^{\circ}\)
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complete the proof that ( \triangle efgcong\triangle ehg ).
1. Given (marked on the figure) 2. Given (marked on the figure) 3. Reflexive property of congruence 4. SSS (Side - Side - Side) congruence criterion
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calculate the area of the circle. formula: a = πr² use 3.14 for pi. a =…
\(379.9\)
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rotational symmetry of parallelograms what is the order of rotational s…
\(2\)
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question 14 1 pts in a right triangle, a and b represent legs and c rep…
\(31.0\) cm (the second option)
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question 13 in a right triangle, the side opposite the right angle is c…
True
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t is the midpoint of pr and qs. complete the proof that △pst ≅ △rqt. 1 …
\(\triangle PST\cong\triangle RQT\) (by SAS congruence criterion)
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12. p(-2,5) is the image of p after a dilation centered at the origin w…
The coordinates of \(P\) are \((-6,15)\)
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recognizing reflectional symmetry which diagram has all of the correct …
The second diagram (the one with 5 lines of symmetry passing through each vertex and the mid - point of the opposite side) is the correct one.
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enter the correct answer. calculate the area of the circle. formula: ( …
\(615.4\)
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question 12 1 pts a scalene triangle has two equal sides. true false
False
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calculating the smallest angle of rotational symmetry what is the small…
\(45\)