Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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kuta software - infinite geometry sss, sas, asa, and aas congruence sta…
# Explicación: ## Paso 1: Identificar los triángulos y los lados/ángulos dados Observar las marcas en los triángulos que indican lados iguales y ángulos iguales. ## Paso 2: Aplica…
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a figure is rotated 270° counterclockwise. what happens to its x - coor…
B) It becomes negative.
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which transformation involves flipping a figure over a line of reflecti…
C. Reflection
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in the figure, ca and ce are opposite rays, ch bisects ∠gcd, and gc bis…
$81$
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the point (0, -7) is reflected across the x - axis. what are the coordi…
B. (0, 7)
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a figure is translated 2 units to the left and 3 units down. what are t…
A. \((x - 2,y - 3)\)
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which transformation changes the direction of a figure but keeps its si…
D. Rotation and Reflection
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what is the scale factor of an enlargement that makes a figure half as …
B. 0.5
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the point (5, -2) is reflected across the y - axis. what are the coordi…
B) (-5, -2)
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match each compound inequality on the left to the graph that represents…
Match $4x - 3>9$ or $-8x\geq16$ with the graph having an open - circle at 3 and shading to the right and a closed - circle at - 2 and shading to the left. Match $8x\geq - 24$ and …
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which transformation does not preserve the shape and size of a figure? …
D. Dilation
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a figure is rotated 180° clockwise. what happens to its y - coordinate?…
B) It moves over 2 quadrants
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what is the name of the transformation that moves a figure along a stra…
A. Translation
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the point (-3, 4) is reflected across the x - axis. what are the coordi…
C. $(-3,-4)$
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if a figure is enlarged with a scale factor greater than 1, it becomes …
C. Larger
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which transformation involves sliding the figure? a) translation b) ref…
A. Translation
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what is the result of rotating a figure 90° counterclockwise about the …
C. The figure moves over 1 quadrant
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which of the following best explains the value of sin(π/3) on the unit …
$\sin\frac{\pi}{3}=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{\text{opposite}}{1}=\text{opposite}$, and the value of the opposite side (the $y$ - coordinate of the point on t…
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a figure is reflected across the y - axis. what happens to its x - coor…
B. It becomes the opposite sign
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1) which transformation changes the size of a figure without changing i…
D. Dilation
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haruto simplified the value below. csc(19π/4)=√2. which statement expla…
Haruto is correct because the angle is coterminal with \(\frac{3\pi}{4}\) and the reference angle is \(\frac{\pi}{4}\).
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find the error in the calculations below, if there is one: line (1): -5…
There are no errors.
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the point $p(x,y)$ is on the terminal ray of angle $\theta$. if $\theta…
$P(-\sqrt{21},-2)$
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solve the compound inequality and choose the correct answer below. -4x …
The first option (where the blue arrow points left from an open - circle at - 4 and the red arrow points right from a closed - circle at - 1) is correct.
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consider the relationship below, given $\frac{pi}{2}<\theta<pi$. $sin^{…
The values of $\sin\theta$ and $\cos\theta$ represent the legs of a right triangle with a hypotenuse of 1; therefore, solving for $\cos\theta$ finds the unknown leg, and then all …
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what is the approximate length of arc s on the circle below? use 3.14 f…
$14.1$ in.
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match each compound inequality on the left to the graph that represents…
Match $-14\leq6x + 4<16$ with the graph having a closed - circle at - 3 and an open - circle at 2. Match $-4x + 3>-9$ and $-6x\leq12$ with the graph having a closed - circle at - …
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read the description of a proportional relationship. roxanne is measuri…
6
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match the inequalities in the left column below with the appropriate nu…
$x\geq3$ matches the graph with a closed - circle at 3 and an arrow to the right. $x > 3$ matches the graph with an open - circle at 3 and an arrow to the right. $x<3$ matches the…
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find the base of a parallelogram with an area (a) of 72 square inches a…
12 inches
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writing equations for lines use slopes to describe the relationship bet…
1. Match the slopes to the lines: - $\frac{1}{3}$: Matches a line with a gentle upward - slant. - 2: Matches a steep upward - slanting line. - $\frac{11}{6}$: Matches a steep upwa…
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ections: find the distance between (-4, 6) and (3, -7) d=$\\sqrt{(6 - -…
$\sqrt{218}$
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ections: find the distance between (-4, 6) and (3, -7) d = \\sqrt{(6 - …
$\sqrt{218}$
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16. what value of x satisfies the equation -3(4x - 5)=2(1 - 5x)? f. -\\…
K. \(\frac{13}{2}\) ### 17.
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which of the following is true of the location of an angle, $\theta$, w…
A. $\theta$ has a 30 - degree reference angle and is located in Quadrant II or IV
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three trigonometric functions for a given angle are shown below. \\(\\c…
A. $(-5,12)$
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what are the values of m and θ in the diagram below? (0,1) $\frac{pi}{2…
$m = \frac{\sqrt{3}}{2},\theta=\frac{\pi}{3}$
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solve the inequality and graph the solution. 38(g - 6) < 76. plot the e…
The solution of the inequality is $g < 8$. On the number - line, there is an open circle at 8 and a ray extending to the left.
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solve the inequality and graph the solution. $\frac{y - 1}{3}>1$ plot t…
The solution of the inequality is $y>4$. On the number - line, place an open - circle at 4 and draw a ray to the right.
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solve the inequality and graph the solution. 12 > 4(r + 15) - 64. plot …
The solution of the inequality is $r < 4$. On the number - line, there is an open circle at 4 and a ray extending to the left.
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find the length indicated. 15) find ce b 3x + 47 c d 10 e 27 + x x + 26…
\(\frac{62}{3}\)
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solve the inequality and graph the solution. \\(\\frac{h + 12}{8}\\geq1…
The solution of the inequality is $h\geq - 4$. On the number - line, there is a closed circle at $-4$ and a ray extending to the right.
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two angles are complementary. the measure of the larger angle is 14° le…
The measure of the smaller angle is 26 degrees and the measure of the larger angle is 64 degrees.
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solve the inequality and graph the solution. 22 > 11(w + 3) plot the en…
The solution of the inequality is $w < - 1$. On the number - line, we have an open circle at $-1$ and a ray extending to the left.
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solve the inequality and graph the solution. 3(z + 29) - 12 < 69. plot …
The solution of the inequality is $z\lt - 2$. On the number - line, we use an open circle at $z=-2$ (since $z$ is strictly less than - 2) and draw a ray to the left of $z = - 2$.
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solve the inequality and graph the solution. 36 ≤ (m + 100)/3. plot the…
The solution of the inequality is $m\geq8$. On the number - line, there is a closed circle at 8 and the line is shaded to the right of 8.
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step 1 find the quadrant in which p(a, b) lies: p(a, b) is in quadrant …
The student made an error in step 3 because \(a\) is positive in Quadrant IV; therefore, \(\cos\theta=\frac{a}{\sqrt{a^{2}+b^{2}}}=\frac{a\sqrt{a^{2}+b^{2}}}{a^{2}+b^{2}}\)
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solve the inequality and graph the solution. 2(n + 14) ≤ 20. plot the e…
The solution of the inequality \(2(n + 14)\leq20\) is \(n\leq - 4\). On the number - line, plot a closed circle at \(-4\) and draw a ray to the left.
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solve the inequality and graph the solution. 16 > 3(b - 1) + 7. plot th…
The solution of the inequality is $b < 4$. On the number - line, there is an open circle at 4 and a ray extending to the left.
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solve the inequality and graph the solution. -65 < 65(x + 1) plot the e…
The solution of the inequality is $x > - 2$. On the number line, there is an open - circle at $x = - 2$ and the line extends to the right.
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an angle in standard position measures $\frac{pi}{2}$ radians, and $p(0…
B. 0
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24. given that m || n, solve for x and y. 25. given that m || n, solve …
Problem 24: \(x = 18\), \(y=\frac{86}{3}\) Problem 25: \(x = 6\), \(y = 140\)
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which values for θ have the same reference angles? ○ $\frac{pi}{6}$, $\…
D. $\frac{\pi}{4},\frac{3\pi}{4},\frac{7\pi}{4}$
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henry is asked to find the exact value of cos(10π/3). his steps are sho…
Henry made errors in calculating the reference - angle (step 2), using the wrong cosine value for the reference - angle (step 3), and misidentifying the sign of the cosine functio…
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an angle that shares the same sine value of an angle that measures $\fr…
C. Quadrant IV
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on a unit circle, the vertical distance from the x - axis to a point on…
\(\pm\frac{2\sqrt{5}}{5}\)
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a student uses the equation tanθ = s²/49 to represent the speed, s, in …
5.3
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transformations > rotations imagine a counterclockwise rotation of 270°…
$(1,2)$
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what is the missing length in the scaled copy? units 18 8 original? 4 s…
9
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identify a pair of vertical angles. o ∠vea and ∠ber o ∠ber and ∠veb o ∠…
$\angle VEA$ and $\angle BER$
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imagine a 90° (counterclockwise) rotation about the origin of the figur…
$(8,4)$
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6. find the slope of the line. a. $\frac{1}{6}$ b. $-\frac{1}{3}$ c. -3…
d. 6
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a segment has endpoints (x(-10,0)) and (y(-2,6)). consider its image af…
$Y'(2,-6)$
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stephon has a square brick patio. he wants to reduce the width by 2 fee…
The expressions for the length and width of the new patio are $x + 2$ and $x - 2$ respectively, and the area of the new patio when the original patio is 10 feet by 10 feet is 96 s…
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transformations rotations describe the transformation in the diagram. (…
90° clockwise rotation about the origin
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when describing a rotation, which of the following directions is applic…
counterclockwise
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solve for x. (6x + 32)° (72 - 2x)° x =
5
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trapezoid defg has vertices d(1, 3), e(5, 3), f(7, - 1), and g(1, - 1).…
$(-3,5)$
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for questions 13 - 18, draw a graph for each inequality. 13. (bleq - 2)…
13. Graph: Closed - circle at $-2$, arrow to the left. 14. Graph: Closed - circle at $0$, arrow to the right. 15. Graph: Open - circle at $-1$, arrow to the right. 16. Graph: Open…
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remember last week we reviewed the radius of a circle, which is defined…
# Explicación: ## Paso1: Recordar la relación radio - diámetro El diámetro $d$ de un círculo es el doble del radio $r$, es decir $d = 2r$ y $r=\frac{d}{2}$. ## Paso2: Calcular par…
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sylvia is staining a circular table. it has a circumference of 38 inche…
Approximately 114.6 square - inches
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20. what is the measure of angle hjl in the picture below? 50° 140° 45°…
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geometry parallel lines: solve for x rsv solve for x. r v (15x + 8)° s …
3
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19. given the angles in the diagram below, what is m∠2? 180° 82° 98° 46°
B. \(82^{\circ}\)
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use the image of the uppercase letter to describe the rotation that wou…
3. 180° counterclockwise rotation
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17. why is $overline{cp}$ in the picture below not a perpendicular bise…
\(\overline{AP}\) is not congruent to \(\overline{PB}\).
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16. what do degrees measure? the orientation of an angle the type of an…
the incline of an angle
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15. joanne does a daily walk from building p to building q. given point…
13 feet
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what is the approximate area of the circle? you can use the calculator …
200.96
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13. which coordinates represent $p_1$ and $p_2$, respectively, in the c…
P1(4,2) and P2(-2,1)
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12. what is the highest number of degrees that an angle can have? 90 27…
360
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10. given that line n is perpendicular to line m, what are the measures…
$90^{\circ},90^{\circ},90^{\circ},90^{\circ}$
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identify the degree of rotation in both directions for the pictured rec…
The quadrilateral is rotated 90 degrees counterclockwise or - 270 degrees clockwise.
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9. what are angles 3 and 4 called in the diagram below? alternate exter…
D. alternate interior angles
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8. which segments in the picture are parallel? o be and gh o ad and ab …
$\overline{BC}$ and $\overline{HF}$
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math 104 exam 1 in order to receive credit you will have to provide ade…
i. \(A\cap C = \{5,a,c\}\) ii. \(B\cup C=\{2,3,4,b,e,f,w,5,a,c\}\) iii. \(A'\cap B=\{4,b,e,w\}\) iv. \(A'\cup C'=\{1,2,3,4,6,7,b,d,e,f,w,x\}\)
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7. why is angle 1 congruent with angle c in the diagram? they interior …
They are vertical angles.
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6. what are angle 2 and 3 in the picture below referred to as? interior…
alternate exterior angles
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find the length of the third side. if necessary, round to the nearest t…
7
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5. which postulate explains why angle pqr would be 140 degrees in the p…
angle addition postulate
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3. why are the lines in this picture parallel? they both travel on fore…
They are equal width apart, travel in the same direction, and never meet.
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find the length of the third side. if necessary, round to the nearest t…
$9.4$
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2. what kind of angles are 1 and 2 in the flag of puerto rico? alternat…
complementary
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2. what kind of angles are 1 and 2 in the flag of puerto rico? alternat…
B. complementary
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solve each inequality. graph your solution on a number line. 1. x + 7 <…
1. Solution of \(x + 7<12\) is \(x < 5\). Graph: Open circle at 5, shade to the left. 2. Solution of \(-3y\geq9\) is \(y\leq - 3\). Graph: Closed circle at - 3, shade to the left.
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select all of the statements that are true for the given parabola. a. t…
A. The minimum is $(1, - 2)$ C. The x - intercepts are $(3,0)$ and $(-1,0)$
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name: abigailatencia weekly math review - q1:7 date: sep22 monday 22 si…
- Monday: - \(y + z-2y\) simplified with \(y = 4,z = 2\) is \(-2\). - Number of friends (including Bill) is \(4\). - \(y\) in \(25 = 2y-5\) is \(15\). - \(x\) in \(4(x - 5)=5x + 1…
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one of the legs of a right triangle measures 18 cm and the other leg me…
$18.7$ cm
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10. q(-10, -2), r(1, -1), s(1, -7), t(-11, -8) (distance formula) direc…
El cuadrilátero QRST no es un paralelogramo.
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volume of prisms and cylinders lesson. explain in just a sentence or tw…
# Explicación: ## Paso 1: Contar capas y cubos Contamos que hay 2 capas, y en cada capa hay 4×3 = 12 cubos. ## Paso 2: Calcular volumen Asumimos que cada cubo tiene un volumen de …