Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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use the information contained on the unit circle above to identify whic…
\(\sin(\frac{2\pi}{3})\div\cos(\frac{\pi}{6})\), \(\sin(\frac{\pi}{2})\cdot\tan(\frac{5\pi}{4})\)
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24. can you conclude that these triangles are congruent? yes no
no
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david has 2000 yards of fencing to enclose a rectangular area. find the…
A rectangle that maximizes the enclosed area has a length of \(500\) yards and a width of \(500\) yards. The maximum area is \(250000\) square yards.
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3. which two triangles are congruent by the sss theorem? complete the c…
\(\triangle ABC\cong\triangle DEF\)
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solve the inequality and graph the solution. g - 11 ≥ -19 plot the endp…
The solution of the inequality \( g - 11\geq - 19\) is \( g\geq - 8\). On the number line, there is a closed circle at \( - 8\) and a ray extending to the right.
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solve the inequality and graph the solution. -1 < \\frac{n}{6} plot the…
The solution of the inequality is \(n>-6\). On the number - line, we plot an open circle at \(-6\) (because the inequality is strict, i.e., \(n eq - 6\)) and draw a ray to the ri…
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solve the inequality and graph the solution. -1 < \\frac{n}{6} plot the…
The solution of the inequality is \(n > - 6\). On the number - line, there is an open circle at \(-6\) and a ray extending to the right.
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solve the inequality and graph the solution. f + 3 > -3 plot the endpoi…
The solution of the inequality \(f + 3>-3\) is \(f>-6\). On the number - line, we plot an open circle at \(-6\) (because the inequality is strict, i.e., \(f\) is not equal to \(-6…
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19. what values of x and y make (\triangle pqrcong\triangle jih)?
\(x = 4\), \(y=3\)
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18. which rule explains why these triangles are congruent? sas aas asa …
AAS
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question 39 of 39 which transformations can be used to carry abcd onto …
B. Reflection across the line \(x = 3\), C. Reflection across the line \(y = 2\)
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16. what values of y and z make △hij ≅ △pqr? y = z =
\(y = 4\), \(z = 7\)
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question 37 of 39 what is the equation of a circle with center (-2, 3) …
C. \((x + 2)^2+(y - 3)^2=16\)
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question 36 of 39 which sequence of transformations produces an image t…
C. A translation of 4 units to the left followed by a dilation of a factor of 3
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13. which rule explains why these triangles are congruent? aas sas sss …
SAS
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question 34 of 39 what shape is generated when rectangle abcd is rotate…
C. Cylinder
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question 32 of 39 which triangle results from a reflection across the l…
A.
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question 29 of 39 spaghetti sauce comes in large and small cylindrical …
A. \(952.56\ \text{in}^3\)
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question 28 of 39 what is the area of a rectangle with vertices at (4, …
D. \(42\) units\(^{2}\)
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11. what values of a and b make \\( \\triangle uvw \\cong \\triangle fg…
\(a = 9\), \(b = 10\)
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9. what values of x and y make △rst ≅ △iht? x= y=
\(x = 18\), \(y = 40\)
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choose the correct answer. what is the correct notation for this figure…
\(\overrightarrow{XY}\) (assuming the third option is \(\overrightarrow{XY}\) as per standard ray notation)
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what type of symmetry does each figure have? check all of the boxes tha…
- First figure (oval): line symmetry, rotational symmetry - Second figure (“L” - shape): no symmetry - Third figure (smiley face): line symmetry
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choose the correct answer. what characteristic of two lines ensures tha…
The lines are distinct.
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8. which two triangles are congruent? complete the congruence statement.
\(\triangle PQR\cong\triangle YXZ\)
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solve the inequality and graph the solution. h - 2 < 5 plot the endpoin…
The solution of the inequality \( h - 2<5 \) is \( h<7 \). On the number - line, there is an open circle at \( 7 \) and a ray extending to the left.
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solve the inequality and graph the solution. 2b < 8 plot the endpoints.…
The solution of the inequality \(2b\lt8\) is \(b\lt4\). On the number - line, we have an open circle at \(4\) and a ray extending to the left.
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7. what values of b and c make \\( \\triangle xyz \\cong \\triangle sut…
\(b = 9\), \(c=3\)
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solve the inequality and graph the solution. plot the endpoints. select…
The solution of the inequality \(c + 2\geq5\) is \(c\geq3\). On the number - line, we plot a closed circle at \(3\) and a ray extending to the right.
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6. what values of w and x make △ijk ≅ △tsr? w = x =
\(w = 16\), \(x = 40\)
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question 27 of 39 what is the approximate volume of a tree trunk if the…
A. \(33.92\mathrm{ft}^3\)
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solve the inequality and graph the solution. 3f ≤ 6 plot the endpoints.…
The solution of the inequality \(3f\leq6\) is \(f\leq2\). On the number - line, we have a closed - circle at \(2\) and a ray extending to the left.
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what is the perimeter of a triangle with vertices located at (-1, 4), (…
C. 9.24 units
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6. write an equation then solve for x. (2.c) (aa)
\(x = 23\)
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1. given $\\triangle abc\\cong\\triangle def$, name three pairs of cong…
1. \(AB\cong DE\), \(BC\cong EF\), \(AC\cong DF\). 2. \( \angle M\cong\angle P\), \( \angle N\cong\angle Q\), \( \angle O\cong\angle R\). 3. Sides: \(RU\cong TN\), \(UV\cong NF\),…
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solve the inequality and graph the solution. m - 8 > 1 plot the endpoin…
The solution of the inequality is \(m>9\). On the number - line, we have an open circle at \(9\) and a ray extending to the right.
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question 24 of 39 which transformation can not be used to prove that \\…
C. dilation
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question 22 of 39 what is the shape of the cross - section formed when …
D. circle
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question 21 of 39 the proof that point (1, √3) lies on the circle that …
Distance formula
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triangle abc is shown. explain why ( a + b = d )
So, \(a + b=d\)
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4. can you conclude that these triangles are congruent? yes no
no
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3. what values of y and z make (\triangle abccong\triangle fde)?
\(y = 15\), \(z=45\)
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question 35 (1 point) a reference angle can rotate from either the posi…
False
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2. what values of y and z make \\( \\triangle vwx \\cong \\triangle gfh…
\(y = 8.4\), \(z = 9\)
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test sss, sas, asa, aas, and hl 1. what values of y and z make \\( \\tr…
\(y = 14\), \(z = 12\)
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question 17 of 39 what is the missing justification in the proof of the…
Corresponding parts of congruent triangles are congruent (CPCTC)
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additional details were added for this assignment. in this diagram, ( m…
\(134\)
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question 33 (1 point) an angle in standard position must have its verte…
B. at the origin
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what is the measure of angle b in this triangle? enter your answer in t…
\(70\)
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question 32 (1 point) an angle drawn in standard position a) must be le…
b) must be less than \(180^{\circ}\)
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question 15 of 39 which geometric solid is the best model for the head …
A. Sphere
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guided practice slopes of lines type your answer and then click done. s…
\(-2\)
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question 13 of 39 which two solid figures have the same volume? a. a co…
C. An oblique solid with a base of \(6\mathrm{cm}^2\) and a height of \(12\mathrm{cm}\), D. A rectangular solid with a base of \(6\mathrm{cm}^2\) and a height of \(12\mathrm{cm}\)
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question 35 (1 point) an angle in standard position is 135°. the acute …
C. \(45^{\circ}\)
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question 31 (1 point) for the angle θ = 210° moving counter - clockwise…
C. tangent
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lines x and y are parallel. write an equation that represents the relat…
\(b + c = 180\)
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question 11 of 39 the diameter of a volleyball is 8.15 inches. what is …
B. \(283.45\ \text{in}^3\)
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note: figure not drawn to scale. in the figure, two lines intersect at …
C. \( 112^\circ \)
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question 33 (1 point) an angle in standard position must have its verte…
b) at the origin
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regular hexagon abcdef is inscribed in a circle with center h. a. what …
a. \(ED\) b. \(CD\)
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question 34 (1 point) the first positive angle between the initial and …
A. principal angle
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question 10 of 39 which transformations would result in a geometric fig…
B. Rotate \( \triangle DEF\) \(90^{\circ}\) clockwise about the point \((1,2)\). C. Translate \( \triangle DEF\) two units to the left. D. Reflect \( \triangle DEF\) across the li…
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question 9 of 39 what are the center and radius of the circle defined b…
A. Center (3, -4); radius 2
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abcd is a rectangle. trapezoid aefb is congruent to trapezoid cfed. poi…
B. Rotate \(AEFB\) 180 degrees counterclockwise around point \(G\), C. Rotate \(AEFB\) 180 degrees clockwise around point \(G\)
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question 8 of 39 martin wants to use coordinate geometry to prove that …
A. $\sqrt{(0 - 0)^2+(b - 0)^2}=\sqrt{b^2}=b$
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question 7 of 39 what is the minimum number of degrees that an equilate…
B. \(120^{\circ}\)
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question 6 of 39 what is the midpoint of a line segment with the endpoi…
C. (1.5, -4)
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select the construction that guarantees ( a ) is a reflection of point …
B. Construction B \(AA'\perp BC\) and \(AD = A'D\)
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question 5 of 39 a pyramid and a cone are both 10 centimeters tall and …
C. The horizontal cross - sections of the pyramid and cone at the same height must have the same area.
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question 4 of 39 what is the shape of the cross - section formed when a…
B. circle
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question 28 (1 point) the hypotenuse, c, of right △abc is 5.0 cm long. …
a) \(6.2\mathrm{cm}\)
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select all the figures with 180° rotation symmetry.
B. Rectangle, C. Square, E. Regular hexagon
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question 2 of 39 joaquin is constructing the perpendicular bisector of …
D. Open his compass so that the distance from the two points of the compass is wider than half the length of \( \overline{AB} \).
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if the radius of a sphere increases from 4 cm to 8 cm, by what factor d…
C. 8
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question 25 (1 point) determine the length of the hypotenuse of the tri…
d) \(2.4\) m
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what is the approximate volume of a sphere with a radius of 7 inches? a…
B. 1436.8 cubic inches
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question 22 (1 point) for the given triangle, cos a is equal to which e…
C. \(\frac{3}{5}\)
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find the measure of the missing angles. answer attempt 1 out of 2 b = □…
\(b = 72\), \(c = 108\)
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question 27 (1 point) an angle drawn in standard position a) must be le…
d) can be any number of degrees
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why are euclids postulates important in geometry? euclids postulates ar…
Euclid’s postulates are the foundation of geometry.
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choose the correct answer. what is the correct notation for this figure…
A
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find the measure of the missing angle.
\(26^{\circ}\)
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question 35 (1 point) which set of primary trigonometric ratios is corr…
A. \(\sin225^{\circ}=-\frac{1}{\sqrt{2}},\cos225^{\circ}=-\frac{1}{\sqrt{2}},\tan225^{\circ}=1\)
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find the measure of the missing angle.
\(26^{\circ}\)
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this figure is the net of which geometric solid? a cube a cylinder a tr…
A triangle - based pyramid
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circle all that apply. if two sets of data are proportional to one anot…
b. the graph that represents the data will be a straight line passing through the origin. c. the graph will contain the points \((0,0)\) and \((1,r)\) where \(r\) is the unit rate…
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question 34 (1 point) the point (3,4) is on the terminal arm of ∠a. whi…
C. \( \sin A=\frac{4}{5},\cos A=\frac{3}{5},\tan A=\frac{4}{3} \)
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find the measure of the missing angles.
\( b = 150^{\circ}, c = 30^{\circ} \)
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for items 10 - 14, lines a, b, c, and d intersect as shown. 10. which p…
10. B. \(a\) and \(c\) 11. \(x = 56\) 12. B. \(85\) 13. B. \(92\) 14. A. The angles should be congruent. 15. A. 2nd Ave 16. \(0\) (assuming \(D\) Street is vertical) 17. D. \(y = …
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this figure is the net of which geometric solid? a sphere a cone a tria…
B. A cone
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choose the correct answer. given this orthographic drawing, which persp…
The first perspective drawing (the rectangular prism - like shape)
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find the measure of the missing angles.
\(b = 116^{\circ}\), \(c = 64^{\circ}\)
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applying theorems about isosceles triangles triangle wxy is isosceles. …
\(150^{\circ}\)
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find the measure of the missing angles. answer attempt 1 out of 2 b = \…
\(b = 64^{\circ}\), \(c = 116^{\circ}\)
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geometry with data analysis ic qtr b young continuous learning center -…
\( 40\)
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question 33 (1 point) a reference angle can rotate from either the posi…
False
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find the measure of the missing angle. 25° a
\(155^{\circ}\)
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the rectangle below has an area of $x^{2}-6x - 7$ square meters and a w…
\(x + 1\)
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the shorter leg of a right triangle is 1 centimeter less than the other…
\(3,4\)
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question 18 (1 point) how many sections is the xy plane divided into by…
4 (Option d)