Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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find the measures of the following angles in the rectangle.
Angle 1: \(111^\circ\), Angle 2: \(55.5^\circ\), Angle 3: \(34.5^\circ\),
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find missing length when given area of a parallelogram the parallelogra…
3
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nets of 3-d shapes which shape(s) could have this figure as a base? ima…
pyramid, prism
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look at the image below. find the area of the parallelogram. square uni…
135
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vivian’s garage door is shown in the image below. what is the area of v…
62.5
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look at the image below. find the area of the parallelogram. square uni…
15
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a net of a three - dimensional figure is shown below. this is the net o…
prism (specifically triangular prism, but from the options, "prism" is the correct choice among the given dropdown options for the second part after "triangular")
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find the measures of all the angles in the rectangle. 1 2 3 5 18° 4
∠1 = 90°, ∠2 = 18°, ∠3 = 90°, ∠4 = 90°, ∠5 = 72°
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look at the image below. what is the area of the parallelogram? square …
54
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a net of a three - dimensional figure is shown below. this is the net o…
triangular
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look at the image below. 11 8 9 find the area of the parallelogram. □ s…
88
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7. how did the sons of liberty use propaganda to rally colonists after …
d) They portrayed the violence as a deadly encounter between innocent Americans and bloodthirsty redcoats in Paul Revere’s famous engraving. ### Question 8
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what is the value of x? 13 find the measure of angle 5. label optional
\(114^\circ\)
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a net of a three - dimensional figure is shown below. this is the net o…
The net is of a triangular prism. (If the dropdowns are for "type of prism" and "base shape", the first dropdown would be "triangular" and the second "prism" or more precisely, th…
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what is the area of the triangle? units²
28
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what is the value of x?
13
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the triangle shown below has an area of 10 units². find the missing len…
5
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current skill $ find the measure of angle 7.
The measure of angle 7 is \(\boldsymbol{121}\) degrees.
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the parallelogram shown below has an area of 15 units². find the missin…
\( h = 5 \) units
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there are two right triangles. the left triangle xyz has a right angle …
\( \sin B\approx\boldsymbol{0.471} \), \( \tan B\approx\boldsymbol{0.533} \), \( \cos B\approx\boldsymbol{0.882} \) (rounded to three decimal places)
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current skill $ find the measure of angle 8. (image shows intersecting …
The measure of angle 8 is \(80^{\circ}\)
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what is the area of the shape? units²
27
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1 week streak level 9 10 16 8 what is the area of the triangle? units²
40
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find cos y, tan y, and sin y. round your answers to the nearest hundred…
\(\cos Y\approx0.42\), \(\tan Y\approx2.14\), \(\sin Y\approx0.91\)
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find the area of each part of the figure and the whole figure. figure\t…
- Triangle A: 11 square units - Rectangle B: 77 square units - Whole Figure: 88 square units
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a cylinder and a cube are shown. statements are given about the shape o…
| Statement | Cylinder | Cube | |--|--|--| | The cross - section for a slice parallel to the base would be congruent to the base. | $\boxed{True}$ | $\boxed{True}$ | | The cross -…
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an architect designs a building by starting with a solid figure and sli…
The design is based on a rectangular prism.
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the cross section of a solid figure sliced perpendicular to its base is…
- cylinder: Yes - cube: Yes - square pyramid: No - triangular prism: No - rectangular prism: Yes
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look at the image below. 14.5 14 6 find the area of the parallelogram. …
\( 84 \)
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a right triangular prism is sliced perpendicular to its base and parall…
rectangle
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the triangle shown below has an area of 18 units². 6 x find the missing…
6
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the parallelogram shown below has an area of 40 units². find the missin…
\( b = 8 \) units
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the three right triangles below are similar. the acute angles ∠f, ∠j, a…
(a) \( \frac{DE}{EF} = \boldsymbol{1.44} \), \( \frac{HI}{IJ} = \boldsymbol{1.44} \), \( \frac{PQ}{QR} = \boldsymbol{1.44} \) (b) \( \sin55.3^\circ = \boldsymbol{0.82} \), \( \cos…
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a cube is shown. how can the cube be cut so that the cross section is a…
the base and not parallel to a face
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a cube is shown. how can the cube be cut so that the cross section is a…
First dropdown: perpendicular (Assuming the second dropdown is related to the direction of the cut, but based on the first part, the key choice for the first dropdown is perpendic…
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a cube is shown. how can the cube be cut so that the cross section is a…
# Explanation: ## Step1: Recall Cube Properties A cube has all edges equal, and faces are squares. To get a non - square rectangle cross - section, we need to make a cut that is n…
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the three right triangles below are similar. the acute angles ∠j, ∠p, a…
(a) \(\frac{KL}{JK}=\boldsymbol{0.52}\), \(\frac{QR}{PQ}=\boldsymbol{0.52}\), \(\frac{YZ}{XY}=\boldsymbol{0.52}\) (b) \(\sin27.6^{\circ}=\boldsymbol{0.46}\), \(\cos27.6^{\circ}=\b…
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planes intersect 3-d shapes two cross sections of a three dimensional f…
rectangular prism
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an architect designs a building by starting with a solid figure and sli…
The design is based on a triangular prism.
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a plane slices through a square pyramid perpendicular to its base and p…
isosceles triangle
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a right triangular prism is sliced perpendicular to its base and parall…
right triangle
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the three right triangles below are similar. the acute angles ∠f, ∠j, a…
(a) \(\frac{EF}{DF}=\boldsymbol{0.56}\), \(\frac{IJ}{HJ}=\boldsymbol{0.56}\), \(\frac{QR}{PR}=\boldsymbol{0.56}\) (b) \(\sin(55.8^\circ)=\boldsymbol{0.83}\), \(\cos(55.8^\circ)=\b…
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a rectangular prism and rectangular pyramid are shown. statements are g…
- "The cross - section for a slice parallel to the base would be the same shape as the base." - Matches both (Rectangular Prism and Rectangular Pyramid) as both have rectangular b…
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a rectangular prism and rectangular pyramid are shown. statements are g…
### For the statement "The cross - section for a slice parallel to the base would be the same shape as the base": - Rectangular Prism: Checked - Rectangular Pyramid: Checked ### F…
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what is the common ratio for the geometric sequence? 32, 8, 2, \\(\\fra…
\(\frac{1}{4}\)
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the cross section of a solid figure sliced perpendicular to its base is…
The selections made (triangular prism: Yes, cylinder: No, square pyramid: Yes, rectangular prism: Yes, cone: No) are correct based on the cross - sectional properties of each soli…
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the cross section of a solid figure sliced perpendicular to its base is…
- triangular prism: Yes - cylinder: No - square pyramid: Yes - rectangular prism: Yes - cone: No
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planes intersect 3-d shapes two cross sections of a three dimensional f…
square pyramid
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a rectangular prism is sliced perpendicular to its base. what is the sh…
rectangle (the option: rectangle)
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a plane slices through a square pyramid parallel to its base. what is t…
square (from the options, the correct option is the one labeled "square")
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complete the square and write the given equation in standard form. then…
The equation in standard form is \((x - 1)^{2}+(y - 2)^{2}=36\). The center of the circle is \((1,2)\). The radius of the circle is \(r = 6\).
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a cylinder is shown. how can the cylinder be cut so that the cross sect…
and through
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a cylinder is shown. how can the cylinder be cut so that the cross sect…
First blank: perpendicular; Second blank: through
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do these triangles satisfy any of the triangle postulates/theorems? obv…
clearly they do
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complete the square and write the given equation in standard form. then…
The equation in standard form is \((x + 3)^{2}+(y + 2)^{2}=1\). The center of the circle is \((-3,-2)\). The radius of the circle is \(r = 1\).
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an architect designs a building by starting with a solid figure and sli…
The design is based on a triangular prism (the option is "triangular prism" from the dropdown menu).
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the cross section of a solid figure sliced perpendicular to its base is…
- Cylinder: No - Cone: Yes - Rectangular Prism: No - Square Pyramid: Yes - Triangular Prism: Yes
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a right triangular prism is sliced parallel to its base. what is the sh…
right triangle
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solve for x. 18 9 x = ?° x° 83° law of sines: \\(\frac{\\sin a}{a} = \\…
\( 29.77 \)
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do these triangles satisfy hl theorem? options: clearly they do; obviou…
obviously not
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a right triangular prism is sliced parallel to its base. what is the sh…
triangle
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a rectangular prism is sliced parallel to its base. what is the shape o…
rectangle
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do these triangles satisfy hl theorem? obviously not clearly they do
A. obviously not
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do these triangles satisfy hl theorem? obviously not clearly they do
clearly they do
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solve for x. 8 9 x° 55° x = ?° law of sines: \\(\frac{\\sin a}{a} = \\f…
$67.22$
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do these triangles satisfy hl theorem? o obviously not o clearly they do
obviously not
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draw triangles by sides & angles two sides of a triangle are 5 cm long.…
For \( 36^{\circ}\): 2 For \( 90^{\circ}\): 1 For \( 144^{\circ}\): 1
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draw triangles by sides & angles two angle measures in a triangle are 4…
More than 2
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two angle measures in a triangle are 37° and 37° and one side is 6 cm l…
Two (The option "Two" is correct, so the number of triangles that can be made is two.)
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draw triangles by sides & angles two angle measures in a triangle are 3…
# Explanation: ## Step1: Find the third angle The sum of angles in a triangle is \(180^\circ\). Given two angles are \(37^\circ\) and \(37^\circ\), so the third angle is \(180 - 3…
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three side lengths are shown: 4 cm 3 cm 8 cm how many triangles can be …
\(0\)
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the diagram shows that <dac = <bca and ad = cb. what additional informa…
$\angle DCA=\angle BAC$ (the option with $\angle DCA = \angle BAC$)
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angles measuring $57^circ$, $110^circ$ and $43^circ$ are shown below. t…
0
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classify quadrilaterals a rhombus is shown below. image of a rhombus wi…
\(53\)
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a boat is heading towards a lighthouse, where charlotte is watching fro…
\( 577 \)
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question a boat is heading towards a lighthouse, where charlotte is wat…
\( 535 \)
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for each figure, decide which category or categories describe it. choos…
- First figure (orange): Quadrilateral (checked), Parallelogram (checked), Rectangle (checked) - Second figure (blue): Quadrilateral (checked), Parallelogram (checked), Rectangle …
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the diagram shows that <dac = <bca and ad = cb. what additional informa…
$\angle DCA=\angle BAC$ (the option with $\angle DCA = \angle BAC$)
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put each figure in the category that best describes it. put only one fi…
- Quadrilateral: The first figure (left - most 4 - sided irregular figure). - Square: The second figure (with right angles and equal - side markings). - Rhombus: The fourth figure…
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quadrilateral abcd is a parallelogram. select one pair of equal angles.
\(\angle B=\angle D\) (or \(\angle A=\angle C\))
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question solve for x and graph the solution on the number line below. -…
Inequality Notation: \(x \geq -1\) For the number line: Plot a closed circle at \(-1\) (since the inequality is "greater than or equal to") and draw an arrow to the right to repre…
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a boat is heading towards a lighthouse, where yaritza is watching from …
245
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the diagram shows that <dac = <bca and ad = cb. what additional informa…
$\boldsymbol{\angle DCA=\angle BAC}$ (the option with $\angle DCA=\angle BAC$)
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the diagram shows that <dac = <bca and ad = cb. what additional informa…
AC = CA (the option with "AC = CA")
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solve for x and graph the solution on the number line below. x + 4 ≥ 8.…
The inequality notation is \( x\geq4 \). For the number line, we would draw a closed circle at 4 (since the inequality is "greater than or equal to") and shade the line to the rig…
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what is the scale factor? * (graph with black triangle def and blue tri…
\( \frac{11}{4} \) (or 2.75)
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quadrilateral abcd is a parallelogram. select one pair of equal angles.
\(\angle B = \angle D\) (or \(\angle A=\angle C\))
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enlargement or reduction? options: ○ enlargement ○ reduction what is th…
Enlargement The scale factor is 2.
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question solve for x and graph the solution on the number line below. 7…
Inequality Notation: \(x < 9\) (For the number line: Open circle at 9, shade left.)
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a rhombus is shown below image of a rhombus with angles 127°, 53°, and …
\(53\)
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enlargement or reduction? options: enlargment, reduction what is the sc…
Reduction (the option with "Reduction" text) ### Second Sub - Question (Scale Factor)
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given that the area of the preimage is 4, and the area of the image 1, …
4:1 (or \( \frac{4}{1} \), or 4)
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given that the area of the preimage is 4, and the area of the image 1, …
The ratio of the areas (preimage area to image area) is $\boldsymbol{4:1}$ (or $\boldsymbol{\frac{4}{1}}$ or $\boldsymbol{4}$). If considering image to preimage, it's $1:4$ or $\f…
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what is the scale factor? * image of two triangles on a grid with a poi…
\(\frac{1}{2}\)
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are the triangles below acute, obtuse, or right? triangle a: angles 60°…
- Triángulo A: Acute - Triángulo B: Right - Triángulo C: Obtuse - Triángulo D: Obtuse
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enlargement or reduction * image of two triangles and a point p, with o…
Reduction
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ax + by = 1 in the given pair of equations, a and b are constants. the …
# Explanation: ## Step1: Recall[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On Failure]
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are the triangles below acute, obtuse, or right? triangle a (angle 38°,…
Triángulo A: Right Triángulo B: Obtuse Triángulo C: Acute Triángulo D: Obtuse
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etermine if $9x^2 + 16y^2 + 36x + 128y + 148 = 0$ is an ellipse. \\bigc…
Ellipse, we can write the equation of the ellipse in standard form \(\frac{(x - h)^{2}}{a^{2}}+\frac{(y - k)^{2}}{b^{2}}=1\). Where: \(h=-2\) \(k=-4\) \(a = 4\) \(b = 3\)
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determine if $-2x^2 + y = 1$ is an ellipse. \\bigcirc not an ellipse \\…
Not an Ellipse