Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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give the equation of a circle with a diameter that has endpoints (2, 3)…
\((x - 5)^2+(y+\frac{5}{2})^2=\frac{157}{4}\)
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what is the image of $(-12,-12)$ after a dilation by a scale factor of …
\((-3,-3)\)
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the endpoints of a diameter of a circle are $(-2,7)$ and $(5,3)$. give …
The exact radius is \(\frac{\sqrt{65}}{2}\) The approximate radius, rounded to 1 decimal place, is \(4.0\)
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draw a circle with center (-1, 3 ) and radius of 2.
Follow the above steps to draw a circle with center \((-1,3)\) and radius \(2\) on the given coordinate grid.
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determining if figures are similar and related by a sequence of (a) whi…
(a) Dilate Figure A with scale factor \(\frac{1}{2}\) centered at the origin, and then rotate that result clockwise \(90^{\circ}\) about the origin. (b) Yes, Figure A and Figure B…
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draw the circle $(x + 1)^2+(y + 2)^2 = 16$.
Plot the center at \((-1,-2)\) and draw a circle with radius \(4\) units.
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graph the image of square j k l m after a translation 10 units left and…
Plot the points \(J'(-10,-5)\), \(K'(0,-5)\), \(L'(0,5)\), \(M'(-10,5)\) and connect them.
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question 3: determine the perimeter of the triangle.
\(108x\sqrt{2}\)
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question 2: simplify the radical expression shown below by adding and/o…
$12\sqrt[3]{2}$
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find the focus, directrix, focal diameter, vertex and axis of symmetry …
Focus: \((10.6,0)\) Directrix: \(x=-10.6\) Focal diameter: \(42.4\) Vertex: \((0,0)\) Axis of symmetry: \(y = 0\)
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1) what is the ratio of circles to moons?
\(6:5\)
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q: two circles are concentric if: a. they overlap each other a little b…
C. They share the same central point
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find the focus, directrix, focal diameter, vertex and axis of symmetry …
Focus = \((0,6.1)\) Directrix = \(y=-6.1\) Focal diameter = \(24.4\) Vertex = \((0,0)\) Axis of symmetry = \(x = 0\)
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my geometry teacher has us draw concentric or commonly centered circles…
B. The rings inside a tree trunk.
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rounding decimals: all the possibilities if a decimal has already been …
1. - The smallest decimal: \(7.575\) - The largest decimal: \(7.584\) - Circled decimals: \(7.576\), \(7.583\), \(7.577\), \(7.5806\) 2. - The smallest decimal: \(17.5\) - The lar…
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7 a baseball diamond has an area of 3,600 ft². what is the distance bet…
- Distance between each base: \(60\space ft\) - Distance a runner runs: \(240\space ft\) - Two possible base - height pairs for the parallelogram: \((b = 3\space in,h = 4\space in…
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name date practice combining like terms which terms are like terms? (no…
13. \(-2x\) 14. \(7y\) 15. \(4r + 4y-8\) 16. \(3m-2n\) 17. \(7g\) 18. \(17f-5\) 19. \(17x-7y\) 20. \(14x^{2}-4x\) 21. \(4b + 7a-8\) 22. \(11r + 5s\) 23. \(2a + 4b\) 24. \(6y-4y^{2…
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name date practic combining like terms which terms are like terms? (not…
\(17z+7x + 7y+5y^{2}-5\)
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3 a parking space is in the shape of a parallelogram as shown at the ri…
\(24\space m^{2}\)
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using place value to round decimals you can round decimals to many diff…
1. \(14\) 2. \(7\) 3. \(54\) 4. \(28\) 5. \(7\) 6. \(3\) 7. \(5.3\) 8. \(3.6\) 9. \(4.7\) 10. \(44.1\) 11. \(9.0\) 12. \(37.4\) 13. \(3.76\) 14. \(75.49\) 15. \(6.72\) 16. \(6.91\…
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round decimals to a given place value to round to a given place value i…
1. \(4.8\) 2. \(67.82\) 3. \(240\) 4. \(5.35\) 5. \(4\) 6. \(54.7\) 7. \(18.08\) 8. \(1.3\) 9. \(3\) 10. \(10\) 11. \(32.17\) 12. \(8.3\) 13. \(6.9\), \(6.90\) 14. \(24\), \(23.6\…
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draw all the lines of symmetry for this regular polygon.
Draw 7 lines of symmetry. Each line passes through a vertex and the mid - point of the opposite side.
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in the diagram below, \\( \\overline { a b } \\cong \\overline { b c } …
\(48^{\circ}\)
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△pqr is rotated 180° around the origin to form △pqr. which coordinate i…
Opposite of \(y\) - coordinate of point \(P\)
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write the coordinates of the vertices after a dilation with a scale fac…
\(S'(-5,0)\), \(T'(10,0)\), \(U'(10,-15)\), \(V'(-5,-15)\)
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find the volume of the rectangular prism.
\(64\) cubic meters
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find the coordinates of point ( p ) along the directed line segment ( a…
\(P(7,-0.4)\)
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are these shapes similar? yes no
yes
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question solve for x. round to the nearest tenth, if necessary. answer …
\(8.0\)
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using trig to find a side question solve for x. round to the nearest te…
\(x = 17.4\)
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using trig to find angles question solve for x. round to the nearest te…
\(38.6\)
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answer attempt 9 out of 99 angle 1 & angle 7, and angle 2 & angle 8 are…
Angle 1 & Angle 7, and Angle 2 & Angle 8 are pairs of alternate exterior angles. These angles are always congruent. These angles are not supplementary.
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which pairs of figures are congruent? which pairs are similar? congruen…
First pair: Congruent? No, Similar? No Second pair: Congruent? No, Similar? Yes Third pair: Congruent? No, Similar? No Fourth pair: Congruent? No, Similar? No
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which coordinate is the same as the x - coordinate of point g? opposite…
Opposite of \(y\) - coordinate of point \(G\)
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solve for $x$. round to the nearest tenth, if necessary. answer attempt…
\(x = 9.0\)
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find the value of sin j rounded to the nearest hundredth, if necessary.…
\(0.61\)
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express sin q as a fraction in simplest terms. answer attempt 1 out of …
$\frac{12}{13}$
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find the value of \\( \\cos d \\) rounded to the nearest hundredth, if …
$0.92$
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is the dotted line a line of symmetry?
no
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in the figure below, ( l parallel m ). find ( x ).
\(x = 40\)
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rotating \\( \\triangle j k l \\) by \\( 180^{circ} \\) counterclockwis…
(a) \(180^{\circ}\) (b) \(CJ = CJ'=\sqrt{58}\) units, \(CK = CK'=\sqrt{34}\) units, \(CL = CL'=2\sqrt{17}\) units
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one of the most important transformations is a 180° rotation about a po…
\(\overline{AB}\) and \(\overline{A'B'}\) have the same length. Because a \(180^{\circ}\) rotation (point reflection) is a rigid transformation, and rigid transformations preserve…
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point reflections n-gen math* geometry point reflections one of the mos…
The lengths of \(\overline{AB}\) and \(\overline{A'B'}\) are equal. Because a point reflection (a \(180^{\circ}\) rotation about a point) is a rigid transformation, and rigid tran…
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9. circle the verb. underline the direct object. during our trip to was…
Circle "visited". Underline "the Lincoln Memorial".
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fluency point reflections n-gen math geometry homework date 1. a point …
1. (2) 2. (4) 3. (3) 4. (1) 5. (1)
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find the perimeter and area. 1 2 p = a = p = a =
1. \(P = 18\space cm\), \(A=12\space cm^{2}\) 2. \(P = 32\space cm\), \(A = 102\space cm^{2}\)
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p = p = a = with lengths you each square
\(P = 28\mathrm{cm}\), \(A=28\mathrm{cm}^2\)
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7. cornell is designing a character for a computer game. he decides to …
(a) Because point \(A\) is at the origin \((0,0)\), and rotating \((0,0)\) \(90^{\circ}\) clockwise about the origin using the formula \((x,y)\to(y,-x)\) gives \((0,0)\) (since \(…
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name: adding and subtracting radical expressions question 1: simplify t…
$$8\sqrt{5}$$
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reflect the figure over the line $x = 1$. plot all of the points of the…
The reflected points are \((-1,-1)\), \((-4,-2)\), \((-2,-8)\)
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reflect the figure over the line $y = 3$. plot all of the points of the…
The reflected points are \((1,0)\), \((2,2)\), \((8,2)\), \((9,-3)\)
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graph the image of \\( \\triangle stu \\) after a translation 2 units r…
Plot the points \(S'(1,2)\), \(T'(2,2)\) and \(U'(3,-6)\) and connect them.
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graph the image of parallelogram efgh after a translation 10 units up.
Plot the points \((2,0)\), \((2,4)\), \((8,10)\), \((8,6)\) and connect them to get the translated parallelogram.
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graph the image of rectangle defg after a translation 3 units right and…
Plot the points \(D'(-2,-5)\), \(E'(6,-5)\), \(F'(6,5)\), \(G'(-2,5)\) and connect them.
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graph the image of rectangle abcd after a translation 7 units down.
The new rectangle has vertices \(A'(-3,-4)\), \(B'(6,-4)\), \(C'(6,-1)\), \(D'(-3,-1)\)
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an athlete whose event is the shot put releases the shot. when the shot…
graph (a)
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an athlete whose event is the shot put releases the shot. when the shot…
\(78.0\)
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an athlete whose event is the shot put releases the shot. when the shot…
\(77.6\)
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graph the image of \\( \\triangle bcd \\) after a translation 6 units u…
The new coordinates of the vertices of the translated triangle are \(B'(-1,0)\), \(C'(5,0)\), and \(D'(-1,9)\). Plot these points and connect them to graph the translated triangle.
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1. match the following. a) opposite leg to \\( \\angle a \\) b) sine ra…
a) $\overline{BC}$ b) $\frac{AB}{AC}$ c) $\angle C$ d) $\overline{AC}$ e) $\overline{AB}$ f) $\frac{AB}{BC}$ g) $\angle C$ h) $\overline{BC}$ i) $\frac{AB}{AC}$ j) $\angle A$
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find the value of x. if necessary, you may learn what the markings on a…
\(25\)
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6. in the diagram shown, \\( \\triangle lmn \\) is the image of \\( \\t…
(a) Point \(L\) (b) Point \(J\) (c) \(\angle LNM\) (d) \(\angle ICL\) (or \(\angle JCM\) or \(\angle KCN\)) with measure \(70^{\circ}\)
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1. if ( overline{er} ) is rotated about point ( m ) by ( 30^{circ} ), t…
(3) ### Question 2
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vw is a translation of vw. write the translation rule. (x, v) → (x + □,…
\((x,y)\to(x + 5,y+12)\)
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rotate figure efgh 180° around the origin.
The new coordinates of the rotated figure are \(E'(-10,-20)\), \(F'(-20,-20)\), \(H'(-10,-10)\), \(G'(-20,-10)\)
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rotate △stu 90° clockwise around the origin.
The new coordinates of the triangle vertices after \(90^{\circ}\) clockwise rotation around the origin are \(S'(5,5)\), \(T'(-10,5)\), \(U'(-10,15)\)
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the shorter leg of a right triangle is 14 feet less than the other leg.…
The length of the shorter leg of the right triangle is \(10\) feet and the length of the other leg of the right triangle is \(24\) feet.
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exercise #3: triangle efg is shown below with vertices at e(1,2), f(-3,…
\(E'(2,-1)\), \(F'(6,3)\), \(G'(3,-4)\) ### (b)
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what is the volume of this object? cubic units
\(10\)
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what is the volume of this object? cubic units
12
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exercise #3: triangle efg is shown below with vertices at e(1,2), f(-3,…
(a) c.w. (b) \(A(0,6)\to(6,0)\), \(B(0, - 6)\to(-6,0)\), \(C(3,7)\to(7,-3)\), \(D(3, - 8)\to(-8,-3)\), \(E(8,2)\to(2,-8)\)
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find m∠boc. a 64° b 39° c 26° d 51°
B. \(39^{\circ}\)
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finding angle measures find the measure of the numbered angles. 33.
$\angle1 = 79^{\circ}$, $\angle2 = 51^{\circ}$, $\angle3 = 39^{\circ}$
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6. given: sr || tu and ∠s ≅ ∠u prove: △srt ≅ △utr statement 1. given 2.…
1. Given; 2. \(\angle SRT=\angle UTR\), \(SR\parallel TU\) (alternate - interior angles); 3. \(RT = TR\), reflexive property; 4. \(\angle S=\angle U\), given; 5. \(\triangle SRT\c…
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finding angle measures find the measure of the numbered angles. 32.
\(\angle1 = 45^{\circ}\), \(\angle2 = 40^{\circ}\), \(\angle3 = 45^{\circ}\)
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which angle number represents an angle vertical to ∠mrj?
\(\angle 4\)
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5. given: ∠p ≅ ∠n and m is the midpoint of pn. prove: △pmk ≅ △nqm 1. ∠p…
1. \(\angle P=\angle N\) (Given) 2. \(PM = NM\) (Definition of mid - point) 3. \(\angle PMK=\angle NMQ\) (Vertical angles theorem) 4. \(\triangle PMK\cong\triangle NQM\) (ASA) 5. …
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logical reasoning complete the statement using always, sometimes, or ne…
22. sometimes 23. sometimes 24. always 25. always 26. never
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which angle number represents an angle vertical to \\( \\angle mrj \\)?
\(4\)
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5. given: ∠p ≅ ∠n and m is the midpoint of pn. prove: △pmk ≅ △nqm 1. ∠p…
1. \(\angle P=\angle N\) - Given 2. \(PM = NM\) - Definition of mid - point 3. \(\angle PMK=\angle NMQ\) - Vertical angles theorem 4. \(\triangle PMK\cong\triangle NQM\) - ASA (An…
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which angle number represents an angle vertical to ∠mrj?
\(\angle 4\)
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which angle number represents ∠mrj?
\(3\)
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which segment is the hypotenuse? answer submit answer
\(\overline{XL}\)
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find the length of the third side. if necessary, round to the nearest t…
\(4\)
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plot the image of figure abcd after a dilation with scale factor 3. one…
Plot \(C'\) and \(D'\) such that \(B'C'\) and \(A'D'\) are vertical (assuming original \(BC\) and \(AD\) are vertical) with length three times the length of \(BC\) and \(AD\) resp…
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find the length of the third side. if necessary, round to the nearest t…
\(16.1\)
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find the length of the third side. if necessary, round to the nearest t…
\(8.2\)
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find the length of the third side. if necessary, round to the nearest t…
\(7\)
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find the length of the third side. if necessary, round to the nearest t…
\(24\)
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use the drop - down menus to explain if the two figures below are congr…
Figure \( CDEF \) is similar to Figure \( QRST \) because rigid motions and dilations can be used to map Figure \( CDEF \) onto Figure \( QRST \).
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use the drop - down menus to explain if the two figures below are congr…
Figure \(CDEF\) is similar to Figure \(QRST\) because rigid motions and/or dilations can be used to map Figure \(CDEF\) onto Figure \(QRST\). The scale factor (assuming a common c…
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use the drop - down menus to explain if the two figures below are congr…
Figure \(CDEF\) is similar to Figure \(QRST\) because rigid motions and/or dilations can be used to map Figure \(CDEF\) onto Figure \(QRST\). The scale factor is \(\frac{1}{2}\)
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simplify each expression. 1. $5(k - 3)-7$ 2. $3(a + 2)-5a + 3$ 3. $12-3…
1. \(5k - 22\) 2. \(-2a + 9\) 3. \(33-6t\)
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determine if triangle qrs and triangle tuv are or are not similar, and,…
Triangles \(QRS\) and \(TUV\) are similar by the SAS (Side - Angle - Side) similarity criterion.
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determine if triangle qrs and triangle tuv are or are not similar, and,…
The triangles are similar.
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a staircase was being built which had an incline of 45° to the horizont…
The length of the staircase is approximately $18.4$ m.
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determine if triangle cde and triangle fgh are or are not similar, and,…
The triangles \(CDE\) and \(FGH\) are similar. We know this because \(\frac{CD}{FG}=\frac{CE}{GH}=\frac{DE}{FH}=\frac{1}{4}\), so by the SSS (Side - Side - Side) similarity criter…
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a car is travelling up a slope. the car travels 11km and the road forms…
\(10.96\mathrm{km}\)
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a car is travelling up a slope. the car travels 20km and the road forms…
\(11.47\mathrm{km}\)
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determine if triangle fgh and triangle ijk are or are not similar, and,…
The triangles are not similar.