Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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below is a scale drawing of the town swimming pool. in the drawing, the…
B. 1 inch : 5 yards
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note: triangle may not be drawn to scale. suppose c = 7 and a = 70 degr…
\(a\approx6.6\), \(b\approx2.4\), \(B = 20.0\) degrees
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test prep 6. which figure is a translation of figure a? a figure 1 b fi…
C. Figure 3 (assuming the option for Figure 3 is labeled as such, from the original options: the option with Figure 3 is the correct one, so if the options are A. Figure 1, B. Fig…
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a, b, c and d are points on a circle. pcq is a tangent to the circle. a…
To prove that $\angle CDA = 2x^{\circ}$, we proceed as follows: ### Step 1: Apply the Alternate Segment Theorem The Alternate Segment Theorem states that the angle between a tange…
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the size of a rectangular computer monitor is determined by the length …
30 inches
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are these scalene triangles similar? p t s 14 49 r 28 8 q yes no
no
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a rectangular swimming pool has a length of 48 feet and a width of 36 f…
60 feet
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question 4 note: triangle may not be drawn to scale. suppose a = 2 and …
\(b\approx7.5\), \(c\approx7.7\), \(B = 75.0\) degrees
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write the coordinates of the vertices after a rotation 90° counterclock…
\( S'(-1, -7) \), \( T'(-10, -7) \), \( U'(-10, -2) \), \( V'(-1, -2) \)
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explore translations use the graph to answer problems 1–4. 1. translate…
The translated figure (image of A) has vertices at \((2, -1)\), \((3, 0)\), \((4, -1)\), \((3, -2)\) (draw these points and connect them). ### Problem 2: How was Figure B translat…
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what is the approximate volume of the cylinder? use 3.14 for π. 9 cm 4 …
\( 452.16 \, \text{cm}^3 \) (corresponding to the option "452.16 \( \text{cm}^3 \)")
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the solid below is made from cubes. find its volume. 1 cm cm³
\( 36\) \( cm^{3}\)
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27. if two angles of a triangles measure 90 degrees and 32 degrees, wha…
The measure of the third angle is $58^\circ$.
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willa is making sandcastles with her little brother at the playground. …
\( 30\pi \text{ in.}^3 \) (corresponding to the option "30π in.³")
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write the coordinates of the vertices after a rotation 180° countercloc…
\( J'(5, 8) \), \( K'(5, 1) \), \( L'(0, 10) \)
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26. what is the vertex in the picture below? image of an angle with ver…
\( \text{X} \) (corresponding to the option with 'x')
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the solid below is made from cubes. find its volume. (there is a diagra…
\( 48 \) cubic inches (or \( 48\ \text{in}^3 \))
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which rule explains why these scalene triangles are similar? j 13 f 41 …
none of the above; the triangles cannot be proven similar
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b, c, d and e are points on a circle. ab is the tangent at b to the cir…
The size of angle \( DCE \) is \( \boldsymbol{73^\circ} \).
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write the coordinates of the vertices after a rotation 180° countercloc…
If the original vertices are \( (-5, -1) \), \( (-5, -9) \), \( (-1, -10) \), the new vertices after \( 180^{\circ} \) rotation are \( (5,1) \), \( (5,9) \), \( (1,10) \) (Note: T…
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find the value of x. 3√2 x 45° (right triangle with one leg 3√2, one an…
\(x = 6\)
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25. name the pair of congruent sides, if such a pair exists, in the fig…
\(\boldsymbol{\overline{AB} \cong \overline{AC}}\) (the option with \(\overline{AB} \cong \overline{AC}\))
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explore translations use the graph to answer problems 1–4. 1. translate…
The new vertices are \((-4, 6)\), \((-7, 6)\), \((-6, 7)\), \((-7, 8)\), \((-4, 8)\), and \((-5, 7)\).
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the graph represents a system of linear equations. determine the number…
no solution
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24. which of the following should not be used as justification in a for…
B. Venn diagrams
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the solid below is made from cubes. find its volume.
24
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given the right triangle shown below with one non - right angle of 39° …
The measure of the other non - right angle is \(51^{\circ}\), \(a\approx9.9\), \(c\approx12.7\)
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match each system of linear equations with the graph of its solution, r…
- \( y\geq5x - 1,y\geq - 2x + 3 \): The third graph (bottom - middle right) - \( y\leq5x - 1,y\leq - 2x + 3 \): The second graph (middle - right) - \( y\geq5x - 1,y\leq - 2x + 3 \…
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13. how can you increase the chances that your salary is on the higher …
The correct option is the one with "train as a specialist in a high - demand career field" (the second option from the left, with the orange - filled circle).
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which rule explains why these triangles are similar? j to k: 48, i to k…
none of the above; the triangles cannot be proven similar
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write the coordinates of the vertices after a rotation 90° counterclock…
- \( J'(-8, -9) \) - \( K'(-8, -6) \) - \( L'(-9, -6) \) - \( M'(-9, -9) \)
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3. which equation verifies that the value of x in the diagram is equal …
# Explanation: ## Step 1: Analyze the Diagram The diagram appears to show a trapezoid (or a figure with parallel sides) where the midline (or midsegment) length is related to the …
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the solid below is made from cubes. find its volume. 1 cm
\( 30\space\text{cm}^3 \)
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23. which equation verifies that the value of x in the diagram is equal…
\( 7=\frac{1}{2}(x + 4) \) (the last option in the list)
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given the right triangle shown below with one non - right angle of $59^…
The measure of the other non - right angle is \(31^{\circ}\), \(a\approx8.4\), \(c\approx16.3\)
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the solid below is made from cubes. find its volume. 1 m □ m³
\( 6 \) \( m^3 \)
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given the right triangle shown below with one non-right angle of 44° an…
The measure of the other non - right angle is \(46^{\circ}\), \(b\approx10.6\), \(c\approx15.3\)
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the solid below is made from cubes. find its volume. 1 yd \\boxed{} yd³
12
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write the coordinates of the vertices after a rotation 90° counterclock…
\( B'(-1, -10) \), \( C'(-1, -2) \), \( D'(-10, -2) \), \( E'(-10, -10) \)
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explore translations use the graph to answer problems 1–4. 1. translate…
The new vertices are \((-4, 6)\), \((-7, 6)\), \((-6, 7)\), \((-7, 8)\), \((-4, 8)\), \((-5, 7)\)
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what is the missing side length of this right triangle? type the answer…
12
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vector u has its initial point at (-7, 2) and its terminal point at (11…
C. \( \mathbf{v}=\langle -54, 21 angle \)
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consider the work shown to determine the value of x in the following tr…
\(4\sqrt{30}\)
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given the right triangle shown below with one non - right angle of 42° …
The measure of the other non - right angle is \(48^{\circ}\), \(b\approx13.5\), \(c\approx20.2\)
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write the coordinates of the vertices after a rotation 270° countercloc…
\( D'(7, -5) \), \( E'(10, -5) \), \( F'(10, -8) \), \( G'(7, -8) \) (Note: If the original coordinates were misread, let's recheck. Wait, maybe D is (5,7)? Wait, the x-axis: D is…
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10. discovering that a career isnt a good fit based on your interests a…
True (the option with the orange circle, labeled "True")
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given the right triangle shown below with one non - right angle of $46^…
The measure of the other non - right angle is \(44^{\circ}\), \(b\approx6.2\), \(c\approx8.6\)
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classify this triangle by its sides. equilateral scalene isosceles but …
equilateral (the option "equilateral")
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write the coordinates of the vertices after a rotation 270° countercloc…
\( D'(7, -5) \), \( E'(10, -5) \), \( F'(10, -8) \), \( G'(7, -8) \)
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classify this triangle by its sides. isosceles but not equilateral scal…
A. isosceles but not equilateral
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22. what is x in the diagram below? options: 2√10, 10√14, 20√3, 10√4
\( 2\sqrt{10} \) (corresponding to the first option: \( 2\sqrt{10} \))
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type the correct answer in the box. use numerals instead of words. if n…
First box: 16; Second box: 32
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a triangle has angle measurements of 69°, 69°, and 42°. is this triangl…
no
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21. which of the following statements is false about rectangle defg? fi…
EH = 14
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5 find the slope of the line that passes through the points in the tabl…
\( 3 \)
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a triangle has two sides measuring 18 meters and one side measuring 11 …
no
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the measure of the other non - right angle is and the lengths of the ot…
The measure of the other non - right angle is \(60^{\circ}\). The length of the shorter leg (opposite \(30^{\circ}\)) is 14, the length of the longer leg (opposite \(60^{\circ}\))…
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4 find the slope of the line that passes through the points in the tabl…
\(3\)
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what is the area of this figure? write your answer using decimals, if n…
\(126\)
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read the conclusion to \yearbook.\ \listen, lets find mr. macklenburger…
A. Fatima will enjoy working with other people on the yearbook.
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shavon has a gift box shaped like a rectangular prism. the box is 12 in…
312 in.² (the first option)
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a triangle has side lengths of 9 meters, 10 meters, and 5 meters. is th…
yes
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3 find the slope of the line that passes through the two points below: …
\(-\frac{1}{2}\)
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20. name the triangle with the following characteristics. sides: 2 cm, …
obtuse scalene triangle
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2 find the slope of the line that passes through the two points below: …
\(\frac{3}{2}\)
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f 7.2 g 3.9 3.9 i 7.2 h ghif ~ tqrs 3.9/6 = 3.9/6 = 7.2/12 t 6 q 12 12 …
The given proportion \( \frac{3.9}{6}=\frac{3.9}{6}=\frac{7.2}{12} \) is incorrect because \( \frac{3.9}{6} = 0.65 \) and \( \frac{7.2}{12}=0.6 \), and \( 0.65 eq0.6 \). The corr…
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20. name the triangle with the following characteristics. sides: 2 cm, …
obtuse scalene triangle (matching the option: obtuse scalene triangle)
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the oval track below is formed by a straight section on each side and a…
1,040 feet
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a triangle has angle measurements of 15°, 88°, and 77°. what kind of tr…
acute
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given the right triangle shown below with one non - right angle of 30° …
The measure of the other non - right angle is \(60^{\circ}\), \(b\approx8.1\), \(c\approx16.2\)
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19. fill in the \???\ section in the proof below. given: line ab is per…
Definition of a right angle.
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find g(x), where g(x) is the translation 9 units right of f(x) = |x|. w…
\( \vert x - 9\vert \) (or in the form \( 1\vert x - 9\vert+0 \))
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here is a number line, 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 …
\( 35 - 8 = 27 \) ### Part (b)
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18. use the image below to answer the question. using the segment addit…
2
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find the length of side a in the picture, below. a = enter your answer …
\(\frac{\sqrt{2}}{2}\)
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a triangle has angle measurements of 38°, 137°, and 5°. what kind of tr…
obtuse (since one angle, \(137^\circ\), is greater than \(90^\circ\), so the triangle is obtuse)
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1st semester practice test multiple choice identify the choice that bes…
a. The graph in option a (the vertical line - like graph) ### Question 2:
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17. which of the following coordinates are not correctly named based on…
A. \((6,-2)\)
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drag the tiles to the boxes to form correct pairs. let (mathbf{u} = lan…
- \(3\mathbf{v}-3\mathbf{w}\) pairs with \(\langle - 12,3 angle\) - \(\mathbf{u}-\mathbf{v}+2\mathbf{w}\) pairs with \(\langle2,-3 angle\) - \(2\mathbf{u}-4\mathbf{w}\) pairs with…
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find the length of side z in the picture, below. (there is a right tria…
\(\frac{\sqrt{3}}{2}\)
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show that $a^2 + b^2 = c^2$, so $\\angle a \\cong \\angle r$. this mean…
Show that \( c = x \), so \( \triangle ABC\cong\triangle RTS \) and so \( \angle C\cong\angle S \). This means \( \angle C \) is a right angle, and so \( \triangle ABC \) is a rig…
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you must show work here for full credit! to find the distance across a …
\( 1.52 \)
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find the length of side d in the picture, below. image of a right trian…
\(\frac{1}{2}\)
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andrea is given $\\triangle abc$ and told that $a^2 + b^2 = c^2$, she d…
Andrea should show \( x = c \) (using \( a^2 + b^2 = x^2 \) and \( a^2 + b^2 = c^2 \)) and use SSS congruence to prove \( \triangle ABC\cong\triangle RTS \), hence \( \triangle AB…
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16. classify the following angle.
Reflex Angle
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find the length of side w in the picture, below. triangle image with 45…
\(1\)
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find the value of x. (there is a diagram with lines and angles: at poin…
\( x = 9 \)
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part f consider the vectors \\( \\mathbf{u} = \\langle -1, 0 \ angle \\…
For \(2\mathbf{u}-2\mathbf{v}+\mathbf{w}\), the resultant vector is \(\langle2,-2 angle\); for \(-\mathbf{u}+3\mathbf{v}+2\mathbf{w}\), the resultant vector is \(\langle9,17 angle…
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classify this triangle by its sides. scalene isosceles but not equilate…
scalene
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classify this triangle by its sides. isosceles but not equilateral equi…
B. equilateral (assuming the options are labeled as A: isosceles but not equilateral, B: equilateral, C: scalene. If the original options had different labels, adjust accordingly,…
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classify this triangle by its sides. equilateral isosceles but not equi…
isosceles but not equilateral
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find the length of side z in the picture, below. triangle image with 45…
\(\frac{\sqrt{2}}{2}\)
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c) graph of a parabola opening downward with vertex at (-3, -1) d) grap…
# Ex[SSE Completed, Client Connection Error][LLM SSE On Failure]
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part e below is the graph of vector w. write the components of -2w.
The components of \( -2\mathbf{w} \) are \( \langle -4, -2 angle \)
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classify this triangle by its sides. equilateral scalene isosceles but …
isosceles but not equilateral
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classify this triangle by its sides. equilateral isosceles but not equi…
equilateral
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part d below is a graph of vector v. write the components of \\( \\frac…
The components of \( \frac{1}{2}\mathbf{v} \) are \( \langle 3, 2 angle \)
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classify this triangle by its sides. equilateral isosceles but not equi…
B. isosceles but not equilateral (assuming the options are labeled as A: equilateral, B: isosceles but not equilateral, C: scalene; if the original options have no labels, adjust …
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classify this triangle by its sides. equilateral scalene isosceles but …
isosceles but not equilateral
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classify this triangle by its sides. isosceles but not equilateral equi…
scalene