Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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y ≤ -3x - 1
To graph \( y \leq -3x - 1 \): 1. Draw the solid line \( y = -3x - 1 \) (passing through \( (0, -1) \) and other points like \( (1, -4) \) or \( (-1, 2) \)). 2. Shade the region b…
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if the radius of a circle is 10 cm, what is its circumference?
The circumference of the circle is \( 20\pi\space\text{cm} \) (or approximately \( 62.8\space\text{cm} \)).
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drag the points to create a graph that satisfies the following requirem…
A valid graph will have all its points within the $x$-interval $[-4, 2]$ and $y$-interval $[0, 4]$, with at least one point at $x=-4$, one at $x=2$, one at $y=0$, and one at $y=4$…
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write the coordinates of the vertices after a reflection over the line …
\( U(1, - 5) \) \( V(3, - 5) \) \( W(5, - 2) \)
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solve: |2x + 5| < 9. state the solution set as an interval and graph th…
A. The solution set as an interval is: \((-7, 2)\) For part B (graphing), we would draw an open circle at \(-7\) and an open circle at \(2\) on the number line, then shade the reg…
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which of the following is true for the following transformation. (x,y)-…
The area is the same. The side lengths are congruent. The angle measures are congruent.
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write the coordinates of the vertices after a reflection over the line …
\( R(-6,2) \), \( U(0,3) \), \( V(-8,5) \)
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write the coordinates of the vertices after a reflection over the line …
\( D'(-4, 9) \), \( E'(-4, 6) \), \( F'(0, 6) \), \( G'(0, 9) \)
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drag the points to create a graph that satisfies the following requirem…
Create a graph with points such as $(1, 2)$, $(2, 4.5)$, and $(3, 7)$ (or any continuous curve where $x$ spans from 1 to 3 and $y$ spans from 2 to 7, with the leftmost $x$-value 1…
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east amount of power towards the top and who you think has the mos u th…
- **Top Triangle (Most Power):** Slim, Curley - **Middle Diamond (Moderate Power):** George, Carlson, Curley's Wife - **Bottom Diamond (Least Power):** Lennie, Candy, Crooks
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write the coordinates of the vertices after a reflection over the line …
\( R'(-5, 1) \), \( S'(0, 1) \), \( T'(-6, -4) \)
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7 find the value of x.
$70$
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write the coordinates of the vertices after a reflection over the x - a…
\( P'(-7, 4) \) \( Q'(-7, 1) \) \( R'(-2, 1) \) \( S'(-2, 4) \)
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2. circle more tens. 2 tens 13 ones ______ tens ______ ones ______ total
3 tens 3 ones 33 total
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the point ( p(5, -2) ) is reflected over the line ( y = -x ). what are …
The coordinates of the resulting point \( P' \) are \( (2, - 5) \)
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if the diameter of a circle is 16 in, what is its circumference?
The circumference is \( 16\pi \) inches (or approximately \( 50.24 \) inches).
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module 4 : les prismes et les cylindres 15. l’aire totale de ce prisme …
1. The measure of the height $h$ is 26 cm 2. The volume of the prism is 1404 $\text{cm}^3$
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π is approximately 3.14 if the circumference of a circle is 15.7 cm, wh…
The diameter of the circle is \( 5 \) cm.
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18 use the diagram to answer the question below. if \\( \\overline{rt} …
\( x = 14 \)
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18 use the diagram to answer the question below. if ( overline{rt} = 16…
\( \frac{5}{6} \)
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choose the inequality that the solution shown on the graph. options: ( …
C. \( m > -5\frac{1}{2} \)
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calculate the area of $\\triangle opq$ if $a = 19.9$, $b = 18.7$, and $…
280.5 square units
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determine if triangle uvw and triangle xyz are or are not similar, and,…
The triangles are similar. We know this because the ratios of their corresponding sides are equal ($\frac{14}{56}=\frac{14}{56}=\frac{18}{72}=\frac{1}{4}$), satisfying the SSS sim…
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if the circumference of a circle is 18.84 in, what is its radius?
The radius of the circle is 3 inches.
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use the drop - down menus to identify the values of the parabola. verte…
Vertex = (0, 3) Domain = {x | x is a real number} (or \( \{x | -\infty < x < \infty\} \)) Range = {y | y ≤ 3} Wait, but maybe the vertex is (0, 3). Let's confirm with the graph. T…
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5. klmn ~ pqrs; find x
\( x = 7 \)
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1. if the circumference of a circle is 15.7 cm, what is its diameter?
The diameter of the circle is \( 5\space\text{cm} \).
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step 1: choose the vertices of a pre - image: (1, 2), (1, 4), (2, 3). s…
Kwame's explanation and solution are incorrect. He reflected the pre-image at step 3, rather than the figure from step 2.
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11 use the diagram to answer the question below. jm = 3x + 15 and mk = …
60
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if rm = 12, lr = 9, and mq = 16, find tq. image not set to scale. none …
6.86
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10 use the diagram to answer the question below. suppose ( xm = 23x + -…
\( 168 \)
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let $ab = 8$, $bd = 4$, and $ac = 10$. calculate $dc$. image not set to…
5
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in a right triangle, one angle is 61°, the hypotenuse is 27, find the l…
\(x\approx13.1\) (If we consider the given value \(13.3\) around it, maybe due to different precision in \(\cos\) value, if we use \(\cos(61^{\circ})\approx0.4924\) (some calculat…
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9 use the diagram to answer the question below. suppose ( jm = 48x + 25…
\( 121 \)
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according to the lengths given in the diagram, which of the following s…
$\triangle HIG \sim \triangle KIJ$ by SAS
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in the right triangle, one angle is 39°, the length of the vertical sid…
\(x\approx13.77\) (rounded to two decimal places)
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1. $\\triangle qrs \\sim \\triangle tuv$; find $x$
$x = 11$
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10.3, 13.2, 14.2, 13.5, 12.4, 17, 12.9 (crossed out), x, 54°, 13.7, 4; …
If we are solving the triangle with \( \theta = 54^{\circ} \) and hypotenuse \( 17 \), \( x\approx10.0 \) (If there are other triangles, more information about the given sides and…
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16 10.5 14.2 12.9 x 10 51° version 1: pythagorean tripl
\(x\approx12.9\) (or more precisely, approximately \(12.87\))
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3. paul, jane, jamar, sarah, and opal were finished with lunch and bega…
\(x = 36^\circ\), \(y = 36^\circ\); angle measurements: \(2x = 72^\circ\), \(2y = 72^\circ\), \(x = 36^\circ\), \(y = 36^\circ\)
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15 start 18.7 57° x 16 13.4 10.5 14.2
\(x\approx13.4\)
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question 3 1 pts if the ratio of two supplementary angles is 4 to 19, c…
148.7
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considering what you just found for x in the previous problem, now find…
$28^\circ$
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determine the minimum rotation (in degrees) which will carry the follow…
\( 72^{\circ} \) (corresponding to the option \( 72^{\circ} \))
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3. $\\triangle mnp \\sim \\triangle qrp$; find $pr$ 4.
\(21\)
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solve for x
$x=9$
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start at the \start\ box and w x 38° 15 start 19.0 x 18.7 13.9
\( \boxed{19.0} \)
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if $\\triangle abc$ is translated up eight unit(s) and to the right nin…
The new coordinates of point \( A \) are \( (9, 12) \).
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bookwork code: 1e calculator not allowed mark the points a and b in you…
The region is the intersection of the interior of the circle (center \( B \), radius \( 3 \, \text{cm} \)) and the half - plane on the \( B \) - side of the perpendicular bisector…
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7 use the diagram to answer the question below. xm = 10x + 6 and my = 6…
\( \boxed{92} \)
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find: \\tan v
\(\frac{9}{40}\)
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which statements are true about x? select three options. \\(\\square x …
- \( x \in B \cup C \) - \( x \in B \cap C \) - \( x \in A \cup C \)
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solve for b
$52^\circ$
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find: \\(\\cos z\\) find: \\(\\sin n\\)
s: - \(\cos Z=\frac{3}{5}\) - \(\sin N=\frac{12}{13}\)
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this question has two parts. use the graph to answer part a and part b.…
Part A: $\frac{5}{4}$ Part B: $12$
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solve for a
$103^\circ$
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find: \\(\\cos f\\) (and there is a right triangle (efg) with right ang…
\( \frac{12}{37} \)
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solve for p
$154^\circ$
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the triangles shown are similar. move options to the lines to describe …
First, rotate $\triangle LMN$ $\boldsymbol{90^\circ}$ clockwise about point $\boldsymbol{L}$. Then, dilate the image with the center of dilation at point $\boldsymbol{L}$ and a sc…
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solve for n
$148^\circ$
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find. \\(\\cos n\\) \\(\\triangle lmn\\) is a right triangle with right…
\(\frac{12}{13}\)
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solve for m
$119^\circ$
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proof of pythagoras’ theorem area of the small square = area of the lar…
The proof shows that for a right - triangle with legs of length \(a\) and \(b\) and hypotenuse of length \(c\), \(c^{2}=a^{2}+b^{2}\) (Pythagorean theorem is proved).
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based on the venn diagram, which of the following statements is correct…
C. Set D is a subset of set A.
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matching sets to a venn diagram which of the following sets could be re…
C. \( S = \{\text{reptiles}\} \), \( T = \{\text{mammals}\} \)
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7 use the diagram to answer the question below. xm = 10x + 6 and my = 6…
\( 92 \)
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identifying subsets consider the following sets: p = {x | x is a parall…
R (where \( R = \{x \mid x \text{ is a rectangle}\} \))
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find: \\sin v
$\frac{12}{13}$
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1 7 2 8 3 9 4 10 5 11 6 12 alternate exterior corresponding alternate i…
To solve the problem of identifying the angle relationships for \(\angle10\) and \(\angle3\), and \(\angle10\) and \(\angle6\), we analyze the positions of the angles formed by th…
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find: sin v (right triangle with hypotenuse 26, leg 10, right angle at …
s: - \(\sin V=\boldsymbol{\frac{12}{13}}\) (Wait, no, wait, earlier mistake: Wait, in triangle \(TUV\), right - angled at \(U\), \(\angle V\): opposite side is \(TU = 24\), hypote…
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9. que représente la valeur de 96 cm² pour le cube ci - dessus? a) le v…
9. C) la superficie 10. a. C) 3,014 10. b. D) 50,24 et 15 11. C) 6 cm
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find: tan a
$\frac{3}{4}$
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function 1 (graph) \\ function 2 \\begin{tabular}{|c|c|} \\hline x & y …
(a) Function 1 (b) Function 1 (c) Function 3
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what is the area, in square centimeters, of the shape below? 3.5 cm 6.2…
The area of the triangle is \( 10.85 \) square centimeters.
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what is the area, in square inches, of the shape below? 5.8 in 6.7 in
The area of the triangle is \( 19.43 \) square inches.
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this net can be folded to make a square pyramid. what is the surface ar…
85 square inches
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∠2 and ∠13 ∠3 and ∠5 ∠3 and ∠15 ∠2 and ∠7 ∠7 and ∠15 alternate exterior…
Corresponding (check the "Corresponding" box) ### ∠2 and ∠7
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saul and felipe are standing at the corner of a rectangular park. they …
5.8 feet per second
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directions: could the set of numbers be the three sides of a right tria…
No ### Problem 8 (14, 48, 50)
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drag each label to the correct location on the image. apply your knowle…
- Tragedy (yellow circle): somber tone - Comedy (blue circle): cheerful tone - Overlap (green region): ironic tone
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5. find the coordinates of the image of f(-3, 5) after the composition …
C \(F''(-6, -6)\)
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solve for m
$119^\circ$
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5-2 practice quiz use the diagram shown for items 1 and 2. 1. select al…
B. \( \overline{PL} \cong \overline{PM} \cong \overline{PN} \) E. \( \overline{KP}, \overline{HP}, \) and \( \overline{JP} \) are angle bisectors of the triangle --- ### Item 2
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9. in the rhombus, ( mangle1 = 170 ). what are ( mangle2 ) and ( mangle…
9. B. $m\angle2=10,\ m\angle3 = 5$ 10. C. $m\angle1 = 90,\ m\angle2=19,\ \text{and}\ m\angle3 = 71$ 11. D. $x = 12, DF = 20, EG = 20$ 12. B. $a = 115, b = 80$
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7. photography elizabeth has a camera in which the distance from the le…
a. 1.12 centimeters b. 224 centimeters (or 2.24 meters)
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a carpenter is making a triangular frame for a garden trellis with thre…
A. 15.4 feet
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rectangle p 3.9 cm 4 cm rectangle q 7.8 cm for a, enter the scale facto…
A. 2 B. $62.4\ \text{cm}^2$
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below is a scale drawing of a parking lot. the dimensions of the outer …
For A: 24 feet For B: 864 square feet
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triangle a and triangle b are similar triangles. triangle a has sides 3…
2
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12. triangle abc is similar to triangle def. the length of side ab is 8…
B. 70
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question 1 u and v refer to the axes used in two - dimensional space. t…
False
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the two triangles below are similar. also, ( mangle j = 45^circ ) and (…
$m\angle E = 110^\circ$ $m\angle F = 45^\circ$ $m\angle G = 25^\circ$
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triangle rst and its image, triangle rst, are graphed on the coordinate…
a 90° clockwise rotation
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the scale factor of triangle a to triangle b is 1:$4\\frac{1}{2}$. what…
$x = 22.5$ (or $x = 22\frac{1}{2}$)
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which rotation may have occurred? a 45° rotation clockwise a 45° rotati…
a 90° rotation counterclockwise
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the scale factor is 1 centimeter to 35 meters. for a, enter the area of…
A. 36 square centimeters B. 44100 square meters
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15. find ( mangle 1 ) and ( mangle 3 ) in the kite. the diagram is not …
C. $m\angle 1 = 74, m\angle 3 = 16$ --- ### Question 16
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△abc and △def are similar. find the missing side length. (the triangles…
3
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use the segment addition postulate to find the length of \\(\\overline{…
27
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13. ∠j and ∠m are base angles of isosceles trapezoid jklm. if ( mangle …
C. 156