Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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you can transform \\( \\triangle t u v \\) to \\( \\triangle t ^ { prim…
Translation: \((x,y)\to(x - 14,y - 2)\) Scale factor: \(3\)
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find the measure of $overline{hj}$. ft
\(9.1\)
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reasoning for \\( \\overline { a c } \\), select an equation you can us…
C. \(1.5 + AB=3.7\)
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find the measure of \\( \\overline { d e } \\).
\(26\)
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name the quadrant in which the angle θ lies. sinθ>0,cosθ<0 choose the c…
Quadrant II
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21) 23) find the measure of the angle indicated in bold. 25) 27)
For problem 25: \(90^{\circ}\) For problem 27: \(60^{\circ}\)
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find the exact values of the six trigonometric functions of the given a…
- For $\csc30^{\circ}$: A. $\csc30^{\circ}=2$ - For $\sec30^{\circ}$: A. $\sec30^{\circ}=\frac{2\sqrt{3}}{3}$ - For $\cot30^{\circ}$: A. $\cot30^{\circ}=\sqrt{3}$
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find the exact values of the six trigonometric functions of the given a…
- For \(\sin30^{\circ}\): A. \(\sin30^{\circ}=\frac{1}{2}\) - For \(\cos30^{\circ}\): A. \(\cos30^{\circ}=\frac{\sqrt{3}}{2}\) - For \(\tan30^{\circ}\): A. \(\tan30^{\circ}=\frac{…
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convert the angle in degrees to radians. -180° -180° = □ radian(s) (sim…
\(-\pi\)
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verify that the following equation is an identity. \\( \\sin 64 \\alpha…
The left - hand side \(4\sin16\alpha\cos16\alpha\cos32\alpha\) is transformed to \(\sin64\alpha\) using the double - angle identity (\(\sin(2\theta) = 2\sin\theta\cos\theta\)) twi…
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are the following two figures similar or congruent?
congruent
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1 which expression represents the area of a circle with a radius of 7 u…
B. \(7\cdot7\cdot\pi\)
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which statement describes how to use the circumference of a circle to f…
C. divide the circumference by \(\pi\) and then divide by 2
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a circle has a diameter of 12 units. what is the circumference, in unit…
B. \(12\pi\)
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use identities to find values of the sine and cosine functions of the f…
\(\sin2x =-\frac{4}{5}\)
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8. given: \\( \\overline { p q } \\cong \\overline { s r } \\), \\( \\a…
| Statements | Reasons | | --- | --- | | 1. $\overline{PQ}\cong\overline{SR}$ | 1. Given | | 2. $\angle PQR\cong\angle SRQ$ | 2. Given | | 3. $\overline{QR}\cong\overline{RQ}$ | 3…
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7. given: ( overline{am} cong overline{cp}, overline{cm} cong overline{…
| Statements | Reasons | | --- | --- | | 1. \(C\) is the midpoint of \(\overline{AG}\) | 1. Given | | 2. \(AC = CG\) | 2. Definition of midpoint | | 3. \(AM = CP\) | 3. Given (\(\…
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40 multiple choice 2 points what effect would doubling the length of th…
The area of the square would be quadrupled (multiplied by 4).
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39 multiple choice 2 points does the ratio of the lengths of the sides …
No, the ratio of the sides of the rectangle ($0.75$) does not match the Golden Ratio (approximately $1.618$ or $0.618$)
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38 multiple choice 2 points which type of symmetry, horizontal and/or v…
The number 8 demonstrates both horizontal and vertical reflection symmetry.
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36 multiple choice 2 points if the area of a circle, a, is given as a f…
If we use the exact value: \(9\pi\) square inches. If we use \(\pi\approx3.14\): \(28.26\) square inches.
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28 multiple choice 2 points a cement walk 3 ft wide is placed around th…
\(\$341\)
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27 multiple choice 2 points a spherical container of radius 3 ft is fil…
\(24.7\) inches
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26 multiple choice 2 points if a golden rectangle has a width of 15 fee…
$24.3$ feet
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20 multiple choice 2 points a ramp 24.3 feet long reaches up to a platf…
\(3.5\) feet
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19 multiple choice 2 points for the triangle shown below, find a if \\(…
\(18.6\)
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18 multiple choice 2 points for the triangle shown below, find b if ∠b …
\(14.5\)
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17 multiple choice 2 points an isosceles triangle has a base with lengt…
\(12.4\) inches
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16 multiple choice 2 points find the length of a rectangle whose width …
\(14.4\) inches
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15 multiple choice 2 points at noon on a certain day, train a is 19 mil…
\(41.7\) miles
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14 multiple choice 2 points a golden rectangle is to be constructed suc…
\(9.9\) inches
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3d shapes and nets name the 3d shape formed by each net. 1) rectangular…
1. Rectangular Prism 2. Cylinder 3. Triangular Pyramid (Tetrahedron) 4. Triangular Prism 5. Cone 6. Square - based Pyramid
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solving real - world problems (volume of cones) once you have multiplie…
1. \(3\) 2. cubic 3. traffic cones (other valid answers could be ice - cream cones, etc.) 4. architecture (other valid answers could be engineering, etc.)
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guided notes: solving real - world problems (volume of cones) in the vo…
1. radius of the base 2. height 3. height 4. cylinder 5. radius
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40 multiple choice 2 points what effect would doubling the length of th…
The area would quadruple.
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39 multiple choice 2 points does the ratio of the lengths of the sides …
C. No, because the ratio of the sides is not the same as the ratio of their sum to the larger side.
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38 multiple choice 2 points which type of symmetry, horizontal and/or v…
Both horizontal and vertical reflection symmetry
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if the area of a circle, a, is given as a function of its radius: ( a=p…
28.3 in.
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find an angle \\( \\theta \\) that makes the statement true. \\( \\sec …
G. \(35^{\circ}\)
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in the volume formula $\frac{1}{3}pi r^{2}h$, what does $h$ represent? …
1. b. height 2. d. Filling a conical fountain
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multiple choice 2 points a ramp 24.3 feet long reaches up to a platform…
# Ex[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][SSE Completed,…
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18 multiple choice 2 points for the triangle shown below, find b if ∠b …
14.5
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16 multiple choice 2 points find the length of a rectangle whose width …
# Ex[SSE Completed, Client Connection Error][SSE onError error]
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15 multiple choice 2 points at noon on a certain day, train a is 19 mil…
41.7 mi
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14 multiple choice 2 points a golden rectangle is to be constructed suc…
9.9 in
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26. find the perimeter of this figure. cor - ners that look square are …
\(45.12\) cm ### 27.
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find the values of x and y. x = (simplify your answer.)
\(x = 51\)
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identify each pair of angles as corresponding, alternate interior, alte…
1. \(x = 3.47\), \(\angle1 = 90.75^{\circ}\), \(\angle2=89.22^{\circ}\) 2. \(x = 7\), \(\angle1 = 50^{\circ}\), \(\angle2=130^{\circ}\) 3. \(x = 6.69\), \(\angle1 = 92.28^{\circ}\…
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find the missing length indicated. 13) find ln 14) find rq 15) find sr …
13) \(LN = 16\) 14) \(RQ = 5\) 15) \(SR = 6\) 16) \(VW = 6\)
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solve for x. 9) 10) 11) 12)
\(x = 5\) ### Problem 10
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choose 1 answer: a vertical angles b complementary angles c supplementa…
C. Supplementary angles
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identifying supplementary, complementary, and vertical angles google cl…
\(\angle m\) and \(\angle n\) are supplementary angles.
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m∠1 = 1 + 4x and m∠2 = 3x + 5. find m∠ywx.
\(m\angle YWX = 34^{\circ}\)
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identifying supplementary, complementary, and vertical angles google cl…
\( \angle m \) and \( \angle n \) are vertical angles.
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13. ( mangle2 = 10 + 2x ) and ( mangle1 = 4x - 10 ). find ( mangle1 ). …
\(m\angle1 = 30\)
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identifying supplementary, complementary, and vertical angles google cl…
\(\angle m\) and \(\angle n\) are vertical angles.
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identifying supplementary, complementary, and vertical angles google cl…
\(\angle x\) and \(\angle y\) are complementary angles.
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in \\( \\triangle abc, \\overline{bm} \\) is a median, \\( \\overline{b…
\(72\)
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what is the relationship between \\( \\angle m \\) and \\( \\angle n? \…
\(\angle m\) and \(\angle n\) are supplementary angles.
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what is the relationship between \\( \\angle m \\) and \\( \\angle n \\…
\(\angle m\) and \(\angle n\) are supplementary angles.
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12. ( mangle1 = 2x + 6 ) and ( mangle2 = 3x - 2 ). find ( mangle1 ). 15…
For problem 12: \(m\angle1 = 22\) For problem 15: \(m\angle UST = 70\)
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in \\( \\triangle abc, \\overline{bm} \\) is a median, \\( \\overline{b…
\(36\)
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in \\( \\triangle a b c, \\overline { b m } \\) is a median, \\( \\over…
\(AB = 12\), \(BC=6\), \(AC = 12\)
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consider the original squares side lengths. do the side lengths remain …
- Any horizontal or vertical reflection: Yes - Any horizontal or vertical translation: Yes - Any rotation: Yes
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consider the original squares side lengths. do the side lengths remain …
# Brief Explanations: - **Reflection**: A reflection (horizontal or vertical) is a rigid[SSE Completed, Client Connection Error][SSE onError error]
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consider the original squares interior angle measures. all the interior…
For "Any horizontal or vertical reflection": Yes. For "Any horizontal or vertical translation": Yes. For "Any rotation": Yes.
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in trapezoid abcd with legs \\( \\overline{ab} \\) and \\( \\overline{c…
$A_{ADM}=32$ in.$^{2}$, $A_{CMD}=128$ in.$^{2}$, $A_{ACD}=160$ in.$^{2}$
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consider the original skiers skis, which represent parallel lines. do t…
Yes (for dilation with a scale factor greater than \(0\)), Yes (for any horizontal or vertical reflection), Yes (for any horizontal or vertical translation), Yes (for any rotation)
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the area of a rectangle is 105 square inches. the length of the longest…
A. 7
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reset the explore tool. press on any shape and create a reduction by en…
\(\frac{3}{2}\)
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reset the explore tool. press on any shape and create an enlargement by…
For the first blank: \(\frac{1}{2}\) For the second blank: \(5\)
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reset the explore tool. press on any shape and create an enlargement by…
For the first blank: \(\frac{1}{2}\) For the second blank: \(5\)
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when the scale factor of a dilation is greater than 1, the new figure i…
larger than the original figure
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dilations are transformations that produce figures that are the same sh…
reduction
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reflection. a horizontal reflection flips a figure across a vertical li…
A. moon B. letter B
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a rotation transformation of 125° rotates the shape 125° counterclockwi…
\(-125\)
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press on any shape in the explore tool and perform a rotation by enteri…
\(235\)
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a rotation is a rigid motion transformation that turns a figure on a pl…
\(125\)
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a translation is a rigid motion transformation that slides each point o…
A vertical translation of \(75\) translates the shape upward. A vertical translation of \(- 75\) translates the shape downward.
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in trapezoid abcd with legs \\( \\overline{ab} \\) and \\( \\overline{c…
\(6\)
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answer the questions below. (a) the perimeter of a rectangular parking …
(a) \(67\) m (b) \(88\) m
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answer the questions below. (a) the area of a rectangular field is 6674…
(a) \(94\space m\) (b) \(51\space cm\)
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use the cofunction identities to find an angle θ between (0^{circ}) and…
\(9\)
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graph the image of parallelogram bcde after a dilation with a scale fac…
The coordinates of the image of parallelogram \(BCDE\) after dilation are \(B'(0,-2)\), \(C'(0,1)\), \(D'(2,2)\), \(E'(2,-1)\)
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you work as an assistant to a carpenter who designed the tabletop below…
A. 200 square inches
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graph the image of square j k l m after a dilation with a scale factor …
The coordinates of the dilated square are \(J'(5,0)\), \(K'(10,0)\), \(L'(10,5)\), \(M'(5,5)\). Plot these points and connect them to get the image of square \(JKLM\) after dilati…
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15 in \\( \\triangle a b c \\), point \\( p \\in \\overline{a b} \\) su…
$S_{\triangle ABC}=14 + 42=56\ m^{2}$
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plot the point given by the following polar coordinates on the graph be…
Plot a point \(8\) grid - line intervals (since \(r = 4\) and each grid line is \(0.5\) units) from the origin along the ray that is at an angle of \(-\frac{\pi}{4}\) (clockwise f…
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point e lies on \\( \\overline { c d } \\) such that \\( c e : d e \\) …
The coordinates of point \(E\) are \((-4,1)\)
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convert the point from cartesian to polar coordinates. write your answe…
The polar coordinates are \((11.18,5.17)\)
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plot the point given by the following polar coordinates on the graph be…
Plot the point \(1\) unit from the origin along the ray \(\theta=\frac{7\pi}{4}\) (equivalent to the polar coordinates \((-1,\frac{3\pi}{4})\)).
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look at this diagram: if \\( \\overleftrightarrow { r t } \\) and \\( \…
\(110\)
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in the triangular pyramid shown below, which lines are intersecting? se…
\(\overleftrightarrow{TV}\) and \(\overleftrightarrow{TW}\), \(\overleftrightarrow{UV}\) and \(\overleftrightarrow{VW}\), \(\overleftrightarrow{TU}\) and \(\overleftrightarrow{TW}…
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in the cube shown below, which planes are parallel? select all that app…
RST and NOP, NOR and PQT, NQR and OPS
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in the square pyramid shown below, which lines are intersecting? video
\(\overleftrightarrow{HL}\) and \(\overleftrightarrow{IL}\)
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in the square pyramid shown below, which lines are parallel? select all…
\(\overleftrightarrow{LM}\) and \(\overleftrightarrow{NO}\), \(\overleftrightarrow{LO}\) and \(\overleftrightarrow{MN}\)
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in the rectangular prism shown below, which lines are skew? lo and no m…
\(\overleftrightarrow{HI}\) and \(\overleftrightarrow{JK}\)
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in the cube shown below, which lines are intersecting? \\( \\overleftri…
\(\overleftrightarrow{AB}\) and \(\overleftrightarrow{BC}\)
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the measure of angle stw is 105°. the measure of angle wtv is 45°. the …
\(x = 150\)
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area of triangle = \\frac{1}{2}bh what are the actual base and height o…
\(40\)