Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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find uv. triangle image with right angle at w, uw = 5.4, angle at v is …
8.8
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question 5 of 10 what is the scale factor from δuvw to δxyz? image of t…
B. 7
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question 4 of 10 what rule should be used to transform a table of data …
C. Multiply each x-value in the table by -1.
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find eg. triangle image with right angle at g, angle at f is 66°, side …
\( 60.3 \)
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find bc. triangle image with right angle at d, bd=4, angle at b is 66° …
\( 9.8 \)
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graph the line. $y - 3 = \\frac{4}{3}(x + 1)$
To graph the line \( y - 3=\frac{4}{3}(x + 1) \): 1. Plot the point \( (-1,3) \) (from the point - slope form \( y - y_1=m(x - x_1) \) where \( x_1=-1,y_1 = 3 \)). 2. Use the slop…
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question 4 of 10 which descriptions from the list below accurately desc…
B. Same shape, C. Similar
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find gi. triangle image with right angle at h, gh=2, angle at i is 34° …
\( 3.6 \)
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in the diagram, ce=12 units and be=5 units. based on the given informat…
12 units (the option with 12 units)
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which segments are parallel? select each correct answer. □ \\(\\overlin…
$\overline{AB}$ and $\overline{EF}$, $\overline{EF}$ and $\overline{GH}$
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question 4 of 10 which descriptions from the list below accurately desc…
B. Same shape, C. Similar
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lines a and b are parallel lines cut by transversal f. if m∠1 = 110°, w…
\(70^{\circ}\) (the option with \(70^{\circ}\))
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given $\\angle 9 \\cong \\angle 13$ which lines, if any, must be parall…
B. \( \boldsymbol{a \parallel b} \), Converse of the Alternate Interior Angles Theorem
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find eg. triangle image with right angle at g, angle at f is 46°, side …
\( 5.0 \)
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question 3 of 10 what is the scale factor from △rst to △uvw? a. 3 b. 1 …
B. 1
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find the length of the third side. if necessary, write in simplest radi…
The length of the third side is \(2\sqrt{3}\)
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graph the line. $y + 2 = -\\frac{1}{2}(x + 5)$
To graph the line \( y + 2=-\frac{1}{2}(x + 5) \), plot the point \((-5,-2)\) and then use the slope \( -\frac{1}{2} \) to find other points (e.g., \((-3,-3)\) and \((-7,-1)\)) an…
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find the y-intercept and the x-intercept of the line below. click on on…
(a) y - intercept: 4 (b) x - intercept: 3
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find gi. triangle image with right angle at i, side gh = 7, angle at g …
\( 6.3 \)
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question 9 of 10 is △pqr ≅ △stu? if so, name the congruence postulate t…
A. Congruent - ASA
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fill in the blanks below. (a) find the slope of the line passing throug…
(a) undefined (b) \( 0 \)
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if a ∥ b and e ∥ f, what is the value of y? (x + 1)° (x - 3)° 87 88 91 …
\(88\) (corresponding to the option 88)
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given ∠4 ≅ ∠14, which lines, if any, must be parallel based on the give…
not enough information to make a conclusion
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in the diagram, the length of segment qv is 15 units. what is the lengt…
11 units (the option: 11 units)
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find the sine of ∠r. triangle with right angle at q, rq=16, rs=34, vert…
$\frac{15}{17}$
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given $\\angle 4 \\cong \\angle 14$, which lines, if any, must be paral…
not enough information to make a conclusion
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a 45 foot ladder is set against the side of a house so that it reaches …
\(22.5\)
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graph the line $x = -8$.
To graph \( x = -8 \), draw a vertical line passing through the point \((-8, y)\) for all real values of \( y \). On the given grid, this line is parallel to the \( y \)-axis and …
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find the cosine of ∠c. simplify your answer and write it as a proper fr…
$\frac{5}{13}$
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a pipe cleaner lay across a wire shelf. the wires that make up the shel…
A. They are same - side interior angles, so angle 3 measures \(50^{\circ}\).
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find the length of the third side. if necessary, write in simplest radi…
\(2\sqrt{21}\)
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find the cosine of ∠r. simplify your answer and write it as a proper fr…
$\frac{8}{17}$
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find the length of the third side. if necessary, write in simplest radi…
\(\sqrt{113}\)
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graph the line. -2x + y = 2
To graph the line $y = 2x + 2$: 1. Plot the y - intercept at $(0,2)$. 2. Use the slope (rise = 2, run = 1) to find another point, e.g., from $(0,2)$, move 1 unit right and 2 units…
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complete the conversion. 1 yard = 3 feet 5 yards 1 foot = feet
16
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two parallel lines are crossed by a transversal. what is the value of y…
\( y = 100 \) (corresponding to the option \( y = 100 \))
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given $\\angle 8 \\cong \\angle 12$, which lines, if any, must be paral…
A. \( a \parallel b \), Converse of the Corresponding Angles Theorem
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graph the image of the figure after a dilation with a scale factor of \…
To graph the dilated triangle, plot the vertices \( (4, -2) \), \( (6, -3) \), and \( (5, -4) \) (calculated via dilation formula) and connect them using the polygon tool. (Note: …
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find the length of the third side. if necessary, write in simplest radi…
\(2\)
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solve for x and graph the solution. (x + 2)(x + 3) ≥ 0 plot the endpoin…
The solution to the inequality \((x + 2)(x + 3)\geq0\) is \(x\leq - 3\) or \(x\geq - 2\). To graph this: plot closed circles at \(x=-3\) and \(x = -2\), draw a ray to the left of …
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legislative branch - includes the house and senate - responsible for ma…
1. Statement: "I wrote and voted to pass a new environmental law to protect my state's rivers from pollution." - Legislative branch (select the circle under Legislative branch) 2.…
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given m || n, find the value of x. (6x+14)° (8x-8)° answer attempt 1 ou…
\( x = 11 \)
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given: ∠t ≅ ∠v; st || uv prove: tu || vw complete the two - column proo…
For step 2 (reason): alternate interior angles theorem For step 4 (reason): transitive property (but since options are limited, assume it's substitution or transitive, but given t…
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the length of \\(\\overline{ab}\\) is 5 units. what is the length of th…
\(\frac{25}{2}\)
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given ( m parallel n ), find the value of ( x ). (there is a diagram sh…
\( x = 42 \)
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given m∥n, find the value of x. (2x-4)° (3x-12)° answer attempt 1 out o…
\( x = 8 \)
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question 10 of 10 what else would need to be congruent to show that $\\…
D. $\angle A\cong\angle D$
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find the cosine of ∠g. simplify your answer and write it as a proper fr…
$\frac{12}{37}$
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given $m \\parallel n$, find the value of $x$. answer attempt 1 out of …
\( x = 82 \)
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given m || n, find the value of x. answer attempt 1 out of 2 x =
\(78\)
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the president leads the military, but congress can refuse to declare wa…
The arrow from the Legislative circle to the Executive circle (the arrow pointing from "Legislative" to "Executive" among the arrows between them)
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given $m \\parallel n$, find the value of $x$. answer attempt 1 out of …
\(77\)
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given ( m parallel n ), find the value of ( x ).
\( x = 75 \)
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find d. triangle with 45°, 45°, right angle, hypotenuse 13, side d writ…
\( 13\sqrt{2} \)
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question 8 of 10 if any two sides and any angle are congruent in two tr…
B. False
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given ( m parallel n ), find the value of ( x ). answer ( x = )
\( x = 59 \)
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find k. 4 ft 45° 45° k write your answer in simplest radical form. feet…
\(2\sqrt{2}\)
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9. developing proof whats wrong with this picture? explain.
The central angles subtended by the congruent chords (marked with tick marks) should be equal, but here they are \(44^\circ\) and \(42^\circ\) (unequal), which is wrong.
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find u. 17√3 yd u 45° 45° write your answer in simplest radical form. y…
\(17\sqrt{6}\)
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question 7 of 10 what else would need to be congruent to show that $\\t…
A. $\angle L\cong\angle O$
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the supreme court can strike down, or cancel, laws that go against the …
The arrow from the "Judicial" circle to the "Legislative" circle (the right - pointing arrow in the pair of arrows between "Judicial" and "Legislative").
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9. developing proof whats wrong with this picture? explain.
The error is that the two triangles with congruent chords (marked by the same tick marks) have different central angles (\(44^\circ\) and \(42^\circ\)). By the theorem, congruent …
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find n. image of a right triangle with two 45° angles, hypotenuse label…
20
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question 6 of 10 aaa (angle - angle - angle) does not guarantee congrue…
A. True
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find k. 8√3 yd 45° k 45° write your answer in simplest radical form. ya…
\(8\sqrt{6}\)
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2. the figure below is a rectangular shipping box. name two different p…
b. plane \(ABF\), plane \(ADH\)
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congress can change the size of the supreme court. which arrow stands f…
The arrow from the Legislative (right circle) to the Judicial (left circle) (the lower horizontal arrow, the one with the hand cursor indicating it).
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find d. write your answer in simplest radical form. units
\(\sqrt{3}\)
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Question was provided via image upload.
\(2\sqrt{3}\)
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find the length of the third side. if necessary, write in simplest radi…
\(8\sqrt{2}\)
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9. write a rule for the translation shown below: rule:
The translation rule is \((x, y) \to (x + 4, y - 1)\) (or similar based on precise grid counting, but likely 4 units right and 1 unit down).
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find the measure of the missing angles. answer attempt 1 out of 2 $b = …
\( b = 154^\circ \), \( c = 26^\circ \)
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these figures are congruent. what is m∠o? □°
74
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find d. right triangle with angles 45°, 45°, 90°, hypotenuse √6, side d…
\( \sqrt{3} \)
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given ( m parallel n ), find the value of ( x ). there is a diagram wit…
\( x = 14 \)
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find k. image of a right triangle with two 45° angles, one leg is $5\\s…
10
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identifying missing components of a paragraph proof given: ( l parallel…
For the first blank (the reason we know \( l\parallel m \) and \( \angle 1\cong\angle 3 \)): it is given.
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question 1 of 10 what else would need to be congruent to show that △abc…
D. \(\overline{AC}\cong\overline{DF}\)
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given $m\\parallel n$, find the value of x. (4x - 8)° (7x - 20)° answer…
\( x = 4 \)
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find u. triangle with 45°, 45°, right angle, hypotenuse 20, side u writ…
\(10\sqrt{2}\)
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complete the conversion. 1 foot = 12 inches 2 feet 7 inches = inches
31
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given $m\\parallel n$, find the value of x. (6x+29)° (8x-7)° answer att…
\( x = 18 \)
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point r is located at (3, 2) and point s is located at (8, 15) what are…
\((4, 4.6)\)
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graph the line. $y = -\\frac{2}{5}x - 3$
To graph \(y =-\frac{2}{5}x-3\), plot \((0, - 3)\) (y - intercept), then use the slope \(-\frac{2}{5}\) to find another point (e.g., \((5,-5)\) or \((-5,-1)\)) and draw a line thr…
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find the measure of the missing angles. answer attempt 1 out of 2 g = \…
\( g = 127^\circ \), \( h = 53^\circ \), \( k = 82^\circ \), \( m = 98^\circ \)
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find c. write your answer in simplest radical form. centimeters
\( 6\sqrt{3} \)
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solving algebraically for unknown values find the values of x and y tha…
\( x=\boxed{80} \), \( y=\boxed{130} \)
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question 5 of 10 what else would need to be congruent to show that △abc…
D. $\overline{BC}\cong\overline{EF}$
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find the length of the third side. if necessary, write in simplest radi…
\( 8\sqrt{2} \)
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calculator which pairs of rectangles are similar polygons? select simil…
- A and B: Not Similar - B and C: Not Similar - A and C: Similar (In the table, for A and B: select Not Similar; for B and C: select Not Similar; for A and C: select Similar)
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answer attempt 1 out of 2 $x=\\square^\\circ$ $y=\\square^\\circ$
\( x = 58^\circ \), \( y = 32^\circ \)
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question 4 of 10 the triangles shown below must be congruent. 12 12 a. …
A. True
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look at this graph: graph of a parabola opening downward with vertex at…
\(0\)
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find the distance between the two points in simplest radical form.
\( 4\sqrt{10} \)
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look at this graph: graph of a parabola what are the coordinates of the…
\((-2,-5)\)
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question 3 of 10 the triangles shown below must be congruent. two trian…
A. True
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look at this graph: graph of a parabola with vertex at (0,0) on a coord…
\(0\)
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if angle 1 is 110°, what would the other angle measures have to be in o…
Angle 2 = \( 70^\circ \) Angle 3 = \( 70^\circ \) Angle 4 = \( 110^\circ \)
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the following diagram shows a right triangle. which of the following re…
Reflective symmetry over the line \( y = -x \): Yes Reflective symmetry over the \( x \)-axis: No
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8. write an ordered pair for the point in quadrant iv that is 4 units a…
\((2.5, -2.5)\)