Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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1 unit 1 unit use fractions to complete the sentences. each small tile …
Each small tile has side lengths $\frac{1}{7}$ units and $\frac{1}{6}$ units. The area of each small tile is $\frac{1}{42}$ square units. The area of the shaded rectangle is $\fra…
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1 unit 1 unit use fractions to complete the sentences. each small tile …
Each small tile has side lengths $\frac{1}{9}$ units and $\frac{1}{4}$ units. The area of each small tile is $\frac{1}{36}$ square units. The area of the shaded rectangle is $\fra…
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use fractions to complete the sentences. each small tile has side lengt…
- Each small tile has side lengths $\boldsymbol{\frac{1}{6}}$ units and $\boldsymbol{\frac{1}{7}}$ units. - The area of each small tile is $\boldsymbol{\frac{1}{42}}$ square units…
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6. rectangle tuvw with vertices t(-3, -1), u(0, -2), v(-2, -8), and w(-…
### Problem 6: Rotación de 90° en sentido contrario a las agujas del reloj para el rectángulo TUVW #### Explicación: La fórmula para rotar un punto \((x, y)\) 90° en sentido contr…
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angle $\\theta = 70^{\\circ}$, which of the following is the measure of…
(c) \(-290^\circ\)
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rotate \\(\\triangle xyz\\) \\(270^\\circ\\) about the origin, \\((0,0)…
To solve the problem of rotating \(\triangle XYZ\) \(270^\circ\) about the origin \((0,0)\), we use the rotation rule for a \(270^\circ\) counterclockwise (or \(90^\circ\) clockwi…
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what is the angle of rotation about the origin, (0,0), that maps \\(\\t…
D. \(180^\circ\)
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question 1 respond to the following based on your reading. draw a coord…
To draw the coordinate plane: 1. Draw a horizontal x - axis and a vertical y - axis intersecting at the origin (0,0). 2. Mark values from - 5 to 5 on both axes (e.g., - 5, - 4, - …
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using co-function theorem (complementary angle theorem) to answer the q…
75 ### Second Question (tan(42°) = cot(?)°)
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convert the angle $\\theta = -\\frac{3\\pi}{4}$ to degree measurement. …
a. $-135^\circ$ ### Second Question (Converting $\frac{5\pi}{3}$ to degrees)
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convert angle $\\theta = 225^{\\circ}$ to its radian measurement.\ (a) …
c. \( \frac{5\pi}{4} \) ### Question 2:
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problem 1 the volume of a cone is 30π cubic units. what is the volume o…
$108\pi$ cubic units
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factor to find the dimensions. 1 the area of a rectangle is $4x^2 + 4x …
The dimensions of the rectangle are \(2x + 1\) and \(2x + 1\) (or \((2x + 1)\) by \((2x + 1)\)). ### Problem 2
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what is the name of this figure?
Ray \( \overrightarrow{FG} \) (or Ray \( FG \))
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question 2 the drawing below has five points. how many line segments do…
5
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what is the measurement of the angle shown below? the measure of the gi…
70
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the movement of the progress bar may be uneven because questions can be…
120°
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look at this diagram: if \\(\\overleftrightarrow{ce}\\) and \\(\\overle…
$40$
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triangle abc was translated according to the rule ((x, y) \to (x + 1.5,…
The pre-image $\triangle ABC$ has vertices at $A(-1.5, 5.5)$, $B(-1.5, 3.5)$, and $C(-5.5, 3.5)$. When plotted, this is a right triangle positioned 1.5 units left and 3.5 units up…
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figure ii is a translation image of figure i. write a rule to describe …
The translation rule is \((x,y)\to(x + 3,y + 3)\) (the first box is 3 and the second box is 3).
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if the ( mangle srw = 85^circ ), what are the measures of ( angle vru )…
\( m\angle VRU = \boldsymbol{95^\circ} \) \( m\angle URW = \boldsymbol{45^\circ} \)
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the word geometry has eight letters. three letters are chosen at random…
0.536 (corresponding to the first option)
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graph the line that has a slope of \\(\\frac{1}{8}\\) and includes the …
The line is graphed by plotting the points $(0,8)$ and $(8,9)$ (and other points found using the slope $\frac{1}{8}$) and drawing a straight line through them. The equation of the…
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△rst and △uvw are shown below. which statement is true? △rst is similar…
There is not enough information to determine whether the triangles are similar.
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find the distance ( d(p_1, p_2) ) between the points ( p_1 ) and ( p_2 …
$\sqrt{85}$
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the graph shows quadrilaterals defg and nopq. is defg congruent to nopq…
Yes, because a translation right 12 units maps DEFG onto NOPQ.
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drag the image to the correct location. which quadrilateral represents …
B
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if two or more polygons are congruent, which statement must be true abo…
B. A, B, and E
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a flashlight is projecting a triangle onto a wall, as shown below. the …
20
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△jkl and △mno are shown below. which statement is true? △jkl is similar…
$\triangle JKL$ is not similar to $\triangle MNO$.
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the measurement of the progress bar may be uneven because questions can…
Rays: $\overrightarrow{EA}$, $\overrightarrow{EB}$, $\overrightarrow{EC}$, $\overrightarrow{ED}$ Lines: $\overleftrightarrow{ED}$, $\overleftrightarrow{BE}$
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△jkl and △mno are shown below. which statement is true? △jkl is similar…
There is not enough information to determine whether the triangles are similar.
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△abc and △dec are shown below. which statement is true? △abc is similar…
$\triangle ABC$ is not similar to $\triangle DEC$.
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solve the compound inequality.\\(3x - 6 < -24\\) or \\(4x + 3 \\geq 23\…
The solution to the compound inequality is $x < -6$ or $x \geq 5$. To graph: 1. Place an open circle at $-6$ on the number line, with an arrow extending left from this point. 2. P…
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what is the perimeter of square tuvw? write your answer as an integer o…
$25.6$ units
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trazar la recta. $y=\\frac{3}{5}x - 1$
To graph \(y = \frac{3}{5}x-1\), plot \((0, - 1)\) (y - intercept) and \((5,2)\) (using slope \(\frac{3}{5}\)), then draw a line through these points.
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write, in factored form, an expression for the shaded portion of the fi…
$(x - 3)(x + 3)$ ### Problem 2 (Rectangle Shaded Region)
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find an equation of the line l. an equation of the line l is \\(\\squar…
$y = x$
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find an equation of the line l. an equation of the line l is (simplify …
$y = 9x - 54$
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what is the name of this figure?
Line segment IJ (or simply a line segment)
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what is the name of this figure?
Ray (specifically ray \( \overrightarrow{CB} \) or ray CB)
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what is the name of this figure?
Line \( WV \) (or \( \overleftrightarrow{WV} \))
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what is the name of this figure?
Ray \( WV \) (or \(\overrightarrow{WV}\))
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what is the name of this figure?
Segment \( EF \) (or \( \overline{EF} \))
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the graph shows a parabola and its focus. write the equation of the par…
$y = -\frac{1}{16}x^2$
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what is the name of this figure?
$\overleftrightarrow{ZY}$ (or "Line ZY")
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what is the name of this figure?
Line \( RQ \) (or Line \( QR \))
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find the midpoint of the line segment joining the points ( p_1 ) and ( …
$(6, 2)$
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find the midpoint of the line segment joining the points ( p_1 ) and ( …
$(6, 1)$
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find the distance ( d(p_1, p_2) ) between the points ( p_1 ) and ( p_2 …
$2\sqrt{10}$
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which of the following statements are true and which are false? if the …
(a) The statement is true. (b) The statement is true. (c) The statement is true. (d) The statement is false. (e) The statement is false.
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which of the following statements are true and which are false? if the …
The statement is true.
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is the triangle with the vertices a(6,3), b(0,7), and c(-8, -5) a right…
Yes, the triangle is a right triangle.
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in each case, determine k so that the line is parallel to the line (2x …
(a) $k = -8$ (b) $k = 1$
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in each case, determine ( k ) so that the line is parallel to the line …
$-8$
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graph the points (1, 3), (-2.5, -4.5), and (-1, -3.5) on the coordinate…
# Explanation: ## Step1: Graph (1, 3) Start at the origin (0,0). Move 1 unit to the right along the x - axis (since the x - coordinate is 1), then move 3 units up along the y - ax…
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graph the compound inequality. x > -670 and x ≤ -630 plot the endpoints…
To graph the compound inequality \( x > -670 \) and \( x \leq -630 \): 1. Plot an **open circle** at \( -670 \) (because \( x > -670 \), not \( x \geq -670 \)). 2. Plot a **closed…
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graph the compound inequality. 2 ≤ x ≤ 10 plot the endpoints. select an…
To graph \(2 \leq x \leq 10\), place a closed (filled) circle at \(2\) and a closed (filled) circle at \(10\) on the number line, then draw a line segment connecting these two cir…
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graph the compound inequality. -86 < x ≤ -84 plot the endpoints. select…
To graph \( -86 < x \leq -84 \): 1. Place an open circle at \( x = -86 \) (since \( -86 \) is not included in the solution set). 2. Place a closed circle at \( x = -84 \) (since \…
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look at this shape: which image shows a reflection? a b c submit
B. Option Text (where Option Text is the description of the image B showing the reflection)
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graph the compound inequality. x < 670 or x > 710 plot the endpoints. s…
The graph has an open circle at 670 with a ray to the left, an open circle at 710 with a ray to the right, and no line between 670 and 710.
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look at this shape: which image shows a translation? a b c submit lesso…
B. Option B
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what is the perimeter of quadrilateral stuv? write your answer as an in…
$5.7+14.2+5+15=39.9$ units
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in a tournament, a professional golfer knows that she is 200 yards from…
41.1°
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find x and y in each triangle. show your work. 1) right triangle with 3…
1.) $x = 3\sqrt{3}$, $y = 6$ 2.) $x = 5$, $y = 10$ 3.) $x = 11$, $y = 11\sqrt{3}$ 4.) $x = 6\sqrt{3}$, $y = 12\sqrt{3}$
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use translations to graph the given function. $n(x)=|x|-3$
The graph of $n(x)=|x|-3$ is the parent absolute value graph $y=|x|$ shifted vertically downward by 3 units, with vertex at $(0,-3)$, passing through points like $(-3,0)$, $(3,0)$…
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this graph shows the solutions to the inequalities $y > \\frac{3}{2}x -…
D. There is no solution.
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identify the graph and describe the solution set of this system of ineq…
D. There's no solution
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2. figure abcde is similar to figure lmnop. what is the value of p in i…
\( p = 6 \) inches. ### Problem 3
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the two lines graphed below are parallel. how many solutions are there …
A. Zero
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1. triangle abc is similar to triangle jkl. what is the value of x in c…
14
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level 76 what colour shape has the largest perimeter? a purple b green …
A. purple
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1) graph the line that has a slope of \\(\\frac{1}{6}\\) and includes t…
To graph the line with slope $\frac{1}{6}$ passing through $(0,0)$: 1. Plot the point $(0,0)$ (the origin) on the coordinate plane. 2. Use the slope $\frac{1}{6}$: from $(0,0)$, m…
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1) graph the line that has a slope of \\(\\frac{1}{2}\\) and includes t…
To graph the line, plot the points \((0,0)\), \((2,1)\), \((4,2)\) (and other points found using the slope \(\frac{1}{2}\)) and draw a straight line passing through them. The equa…
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7. determine the side length of each square. a) area = 484 mm² b) area …
a) The side length of the square is \( \boldsymbol{22 \, \text{mm}} \). b) The side length of the square is \( \boldsymbol{42 \, \text{yd}} \).
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lines jk and ef are parallel. if the measure of $\\angle 4$ is $80^\\ci…
A. $100^\circ$
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3. $mangle1 = mangle5$ definition of congruent angles 4. $angle1$ and $…
Lily (the student with the correct solution is Lily, as her reasoning follows the substitution property of equality using the known equal angles and supplementary angle definition…
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look at this diagram: if \\(\\overleftrightarrow{oq}\\) and \\(\\overle…
$122^\circ$ Wait, correction:
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20. write the equation of the line in fully simplified slope-intercept …
\(y = 8x - 7\)
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if segment \\(\\overline{ac}\\) is a diameter, what is the measure of \…
90
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if the measure of $\\angle aob = 155^{\\circ}$, what is the measure of …
155
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if the length of $overline{bf}$ is 32 inches, what is the length of $ov…
16 inches
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if the length of \\(\\overline{ab}\\) is 24 centimeters, what is the le…
24 centimeters
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if the length of \\(\\overline{ab}\\) is 13 millimeters, what is the le…
13 millimeters
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united states flags come in different sizes. standard dimensions for a …
The length of Flag 2 is \(5.13\) feet.
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21. find the measure of each lettered angle in the diagram below.
$a=75^\circ$ $b=15^\circ$ $c=15^\circ$ $d=75^\circ$ $e=37.5^\circ$ $f=42^\circ$ $g=48^\circ$ $h=42^\circ$
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a 20-foot flagpole casts a 6-foot shadow. how tall is a nearby building…
The height of the building is 100 feet.
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in parallelogram rstu, sw = 4 cm, wt = 6 cm, rs = 5 cm, and st = 7 cm. …
\( 4 \, \text{cm} \) (corresponding to the option "4 cm")
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the angle measures of quadrilateral rstu are shown. ( mangle r=(2x)^cir…
No, if \(x = 35\), the three given angle measures make it impossible for the figure to be a parallelogram. (The last option: "No, if \(x = 35\), the three given angle measures mak…
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figure wxyz is a parallelogram. which angle measures are correct? selec…
The correct options are: - \(m\angle X = 55^\circ\) - \(m\angle W = 125^\circ\) - \(m\angle Z = 55^\circ\)
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juanita is cutting a piece of construction paper in the shape of a para…
4 cm and 7 cm (Option B)
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square abcd and isosceles triangle buc are drawn to create trapezoid au…
\(135^\circ\)
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which concept can be used to prove that the diagonals of a parallelogra…
A. congruent triangles
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a carpenter cuts the corners of a rectangle to make the trapezoid shown…
11
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jacob is cutting a tile in the shape of a parallelogram. two opposite a…
50° and 130° (corresponding to the option "50° and 130°")
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what is the measure of angle l in parallelogram lmno? 20° 30° 40° 50°
\(40^\circ\) (corresponding to the option with 40°)
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figure abcd is a parallelogram. what is the value of p? (4p + 12)° 36° …
\(p = 6\)
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a corner of a rectangle is cut, creating a trapezoid. what is the value…
\(135^\circ\) (corresponding to the option 135°)
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given: lines p and q are parallel and r is a transversal. prove: ∠2 ≅ ∠…
A: $\boldsymbol{\angle 2 \cong \angle 4}$ B: $\boldsymbol{\angle 4 \cong \angle 7}$
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1) trouver la largeur dun versant sachant que la course est de 23-9\ et…
25'-4'' (or 304 inches)