Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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activity a high - school band director is designing a marching formatio…
# Explanation: ## Step1: Find horizontal distance The horizontal distance is the difference in x - coordinates. Given \(G(-2,-2)\) and \(H(3,- 2)\), the horizontal distance \(d_x=…
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lines a and b are parallel and lines e and f are parallel. what is the …
C. 98
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in the diagram, g // h, m∠1=(4x + 36)°, and m∠2=(3x - 3)°. what is the …
$120^{\circ}$
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what must be the value of x so that lines a and b are parallel lines cu…
C. 22
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4. match one diagram and one notation to each term. 5. looking at the d…
a) TRUE b) FALSE c) FALSE d) TRUE e) TRUE f) FALSE
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parallel lines e and f are cut by transversal b. what is the value of x…
C. 25
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what is the name of this figure?
Ray XY
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given the information in the diagram, which theorem best justifies why …
converse alternate exterior angles theorem
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what is the name of this figure? q p
The figure is a line.
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lines c and d are parallel lines cut by transversal p. which must be tr…
$\angle2\cong\angle6$
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what is the name of this figure? a b
Line - segment
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which lines are parallel? justify your answer. lines a and b are parall…
Lines \(e\) and \(f\) are parallel because their alternate exterior angles are congruent.
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in the poem, what type of people does the speaker admire? a. those who …
c. Those who harness themselves to tasks and move things forward d. Are completely engaged in their labor c. Fulfills a genuine need
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letters a, b, c, and d are angle measures. which should equal 105° to p…
A. \(a\)
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what is the name of this figure?
Line segment
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what is the name of this figure?
Ray
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what is the name of this figure? r q
Ray \(RQ\)
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what is the name of this figure?
Line - segment DE
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what is the name of this figure? f e
Ray EF
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what is the name of this figure?
Line
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what is the name of this figure?
Line - segment IJ
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a rectangular prism is sliced vertically parallel to two of its faces a…
rectangle; 3 in by 8 in
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the radius, r cm, of a circle is given as 9 cm, correct to the nearest …
(a) $8.5\leq r<9.5$ (b) $17\pi$ cm
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24 alto, simpática y jóvenes elige. circle the adjective that agrees in…
1. joven 2. serio 3. tímida 4. estudiosos 5. rubias 6. inteligentes
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letters w, x, y, and z are angle measures. which should equal 92° to pr…
A. \(w\)
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location of berlin as an ordered pair (x, y).
$(6,8)$
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give the location of dallas as an ordered pair (x, y).
$(2,-5)$
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which composition of transformations will create a pair of similar, not…
D. a rotation, then a dilation
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using the pencil, plot the point (5, - 6).
Plot the point at the location obtained after the above two - step process.
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lines a and b are parallel lines cut by transversal t. if m∠1 = 110°, w…
C. $110^{\circ}$
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are these lines perpendicular? yes no
yes
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solve the inequality and graph the solution on the line provided. 7x - …
< $x < 8$ On the number - line, an open circle at 8 and an arrow pointing to the left.
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consider △rst and △ryx. if the triangles are similar, which must be tru…
\(\frac{RY}{RS}=\frac{RX}{RT}=\frac{XY}{TS}\) (second option)
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consider the two triangles. to prove that the triangles are similar by …
D. \(\frac{AC}{GI}=\frac{BC}{HI}\)
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which number line shows the solution to the inequality? t - 6 ≤ -4
The number - line with a closed - circle at 2 and the line shaded to the left of 2. (The second number - line in the image)
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find the perimeter of the square. include the unit. 24 m
96 m
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find the perimeter of the rectangle. include the unit. 14 yd 29 yd
86 yd
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which value of y would make op || ln? 16 24 32 36
36
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what is the midpoint between points a and b? a. -1.75 b. 1.75 c. -0.875…
0.375
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what is the area of this circle in square centimeters? 3 cm 9π 6π 9π 30π
$9\pi$ square centimeters
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this rectangle. 8 ft 9 ft
72
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select the correct answer. what is the midpoint between points a and b?…
None of the given options are correct. If we assume a calculation error in options and re - calculate with correct method for points with values close to what seems indicated on t…
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which value of x would make tv || qs? 3 8 10 11
C. 10
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select the correct answer. on a map where each unit represents 100 mile…
B. 1,304 miles
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select the correct answer. the endpoints of gh are g(-7,3) and h(1,-2).…
A. $(-3,\frac{1}{2})$
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graph the following piecewise function: $f(x)=\begin{cases}-x - 2&xleq …
The graph consists of three line - segments: a line \(y=-x - 2\) for \(x\leq - 2\) with a closed - circle at \(x=-2\), a line \(y = 2x-2\) for \(-2\lt x\lt1\) with open - circles …
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which transformations could have occurred to map △abc to △abc? a rotati…
D. a dilation and a rotation
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read the proof. given: ab // de prove: △acb ~ △dce we are given ab // d…
A. AA similarity theorem
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graph the points (0,0), (-5,1), (6,2) and state whether they are collin…
noncollinear
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two parallel lines are crossed by a transversal. what is the value of d…
\(d = 125\)
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which number line shows the solution to the inequality? -4x + 8 ≤ 20
The number - line that has a closed - circle at - 3 and the line extending to the right of - 3 (the fourth number - line in the order presented in the image) shows the solution to…
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a postulate states that any three noncollinear points lie in one plane.…
noncoplanar
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name two planes that intersect in vr in the figure to the right. choose…
D. plane VWS and plane QRS
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is rectangle efgh the result of a dilation of rectangle abcd with a cen…
No, because corresponding sides have different slopes.
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use the figure to determine the intersection of planes dcg and efg. cho…
B. GH
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parallelogram fghj was dilated and translated to form similar parallelo…
4
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if a || b and e || f, what is the value of y? 87 88 91 92
88
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consider the diagram. given that r||s and q is a transversal, we know t…
alternate interior angles theorem
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consider △dfe. what are the inputs or outputs of the following trigonom…
$\tan(D)=\frac{3}{4}$, $\cos(F)=\frac{3}{5}$, $\sin(D)=\frac{4}{5}$
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use the number line below, where rs = 7y + 5, st = 3y + 7, and rt = 15y…
$y = 6$
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pam was told to draw a triangle with side lengths 3 centimeters, 5 cent…
Since \(3 < 5 < 9\) and \(3 + 5<9\), Pam cannot draw a triangle with side lengths 3 centimeters, 5 centimeters, and 9 centimeters.
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solve the inequality and graph the solution on the line provided. 6 + 7…
Inequality Notation: $x\leq - 7$ Number Line: Plot a closed - circle at - 7 and draw a line to the left.
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15. if one of the angles of a right triangle is 30 degrees, what are th…
C. 60 degrees, 90 degrees
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if st = 17 and rt = 63, find rs. use the number - line below. rs = □ (t…
46
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the top and bottom of a slide are parallel to the ground. what is the s…
The slope of the main portion of the old slide is approximately 0.54. The new slide would be less steep than the old slide because the new slope (≈0.519) is smaller than the old s…
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solve the inequality and graph the solution on the line provided. 8x - …
Inequality Notation: $x>-6$ Number Line: Plot an open - circle at $-6$ and draw a line to the right.
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the surface area of this cone is 1,431.84 square feet. what is the slan…
$26.00$ feet
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given right triangle jkl, what is the value of cos(l)?
$\frac{5}{13}$
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write the measurement shown on the inch ruler below. be sure to simplif…
$4\frac{5}{8}$
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quadrilateral jklm was dilated according to the rule d_{\\frac{1}{2}}(x…
$(0, - 4)$
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using the side lengths of △pqr and △stu, which angle has a sine ratio o…
B. $\angle T$
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how does the slope change if the bottom is lowered to 15 inches off the…
Less steep, $\frac{27}{52}$
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given right triangle jkm, which correctly describes the locations of th…
a is the hypotenuse, b is adjacent, c is opposite
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match each drawing on the left with its geometric notation on the right…
First drawing: $\overrightarrow{XY}$, Second drawing: $\overleftrightarrow{XY}$, Third drawing: $\overline{XY}$, Fourth drawing: $\overrightarrow{YX}$
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what is the surface area of this triangular pyramid? 20 cm 13 cm 20 cm …
563
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julian describes an angle in the triangle using these statements. gh is…
B. $\angle K$
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question. solve the inequality and graph the solution on the line provi…
Inequality Notation: $a\leq8$ To graph on the number - line: Draw a closed circle at 8 (because the inequality includes equality, i.e., $\leq$) and shade to the left of 8.
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△hij and △jkl are shown below. which statement is true? △hij is similar…
$\triangle HIJ$ is similar to $\triangle JKL$.
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what is the y - intercept of this line?
-8
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solve the inequality and graph the solution on the line provided. 13 + …
$\leq$, $x\leq8$ To graph on the number - line: Draw a closed circle at 8 (because the inequality is $\leq$) and shade to the left of 8.
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question 18 (4 points) the square and equilateral triangle below have t…
\(x = 1.5\)
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which trigonometric ratios are correct for triangle abc? select three o…
$\sin(B)=\frac{1}{2}$, $\tan(C)=\sqrt{3}$, $\sin(C)=\frac{\sqrt{3}}{2}$
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what is the length of the side opposite ∠b? 3 units 4 units 5 units 6 u…
4 units
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in the diagram, dg = 12, gf = 4, eh = 9, and hf = 3. to prove that △dfe…
$\angle DFE$ is congruent to $\angle GFH$.
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given △def, which is not equal to cos(f)? sin(f). sin(d). tan(f). cos(d…
$\tan(F)$
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which best explains why all equilateral triangles are similar? all equi…
All equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations.
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which trigonometric ratios are correct for triangle def? select three o…
$\tan(D)=\frac{24}{7}$, $\sin(E)=\frac{7}{25}$, $\cos(E)=\frac{24}{25}$
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what is the length of ac? 3 ft 4 ft 18 ft 12 ft
12 ft
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given right triangle xyz, which correctly describes the locations of th…
a is adjacent, b is opposite, c is the hypotenuse
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what is the length of ac? 3 ft 4 ft 18 ft 12 ft
18 ft
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which diagram shows lines that must be parallel lines cut by a transver…
The first diagram shows lines that must be parallel lines cut by a transversal.
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a 20 - foot - long footbridge has two diagonal supports that meet in th…
11.0
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5. the standard equation of a circle is $(x - h)^2+(y - k)^2=r^2$. rear…
$h = x-\sqrt{r^{2}-(y - k)^{2}}$ or $h=x+\sqrt{r^{2}-(y - k)^{2}}$ (None of the given options are correct)
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triangle tvw is dilated according to the rule (d_{0,\frac{3}{4}}(x,y)\t…
A. T(-3,6) and V(0,2)
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match the definition on the left to its corresponding geometric figure …
A zero - dimensional object that defines a specific location on a plane: Point (e.g., Q, R, S, T) A one - dimensional figure, which extends without end in two directions: Line (th…
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the movement of the progress bar may be uneven because questions can be…
58 square centimeters
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what are the exact values of a and b? o a = 7/2, b = 7√3/2 o a = 7√3/2,…
A. a = 7/2, b = 7√3/2
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why is the information in the diagram enough to determine that △lmn - △…
because ∠MNL and ∠ONP are congruent angles
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the movement of the progress bar may be uneven because questions can be…
Line BD
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question 14 (4 points) write and simplify an expression to represent th…
\(15x - 6\)