Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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is $overline{st}congoverline{tu}$? s 61 62 t 63 64 u 65 66 67 yes no
yes
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is $overline{rs}congoverline{tu}$?
no
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is (overline{fg}) congruent to (overline{ef})?
no
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are jk and qr congruent?
yes
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14) if m∠4=(2x + 10)° and m∠6=(3x - 20)°, find the value of x. 15) if m…
14. \(x = 30\) 15. \(x = 10\) 16. \(x = 20\)
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are $overline{kn}$ and $overline{st}$ congruent? work it out
yes
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are $overline{uv}$ and $overline{yz}$ congruent?
yes
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13) in the accompanying diagram, $overline{ab}$ is parallel to $overlin…
$140^{\circ}$
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what is the length of $overline{st}$?
2
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in trapezoid wxyz, $overline{wx}$ is parallel to $overline{zy}$. trapez…
The measure of \(\angle W'Z'Y'\) is \(90\) degrees, The length of \(\overline{W'X'}\) is \(2\) units, \(\overline{W'X'}\) is parallel to \(\overline{Z'Y'}\)
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graph the solution of this inequality: $\frac{4}{9}x - 10 > \frac{x}{3}…
The solution is all values of x greater than - 18. On the number - line, you would drag the open - circle (since the inequality is >, not $\geq$) to the point at - 18 and shade to…
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are $overline{pr}$ and $overline{st}$ congruent?
yes
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unit 4 test review ∠xps≅∠dnf, solve for x. x =
$x = 3$
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at the airport, faisal uses the moving sidewalk. because it just moves …
B. translations
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unit 4 test review t (4x - 3)° g 45° b (11y + 6)° m 41° w k △mtw ≅ △bgk…
$y = 4$
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are $overline{tu}$ and $overline{st}$ congruent? r s i u v 75 m 78 m 78…
yes
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what other information do you need in order to prove the triangles cong…
$\angle M\cong\angle N$
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problem 7: spiral review which of these sets of angle measures could be…
\(50^{\circ},60^{\circ},70^{\circ}\)
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what is the value of x that makes $ell_1parallelell_2$? 9914 - 1 - page…
1. \(x = 10\) 2. \(x=\frac{34}{3}\) 3. \(x = 29\) 4. \(x = 25\)
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are $overline{kn}$ and $overline{np}$ congruent?
yes
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questions 5 through 8 refer to the following: in the diagram below, $ov…
5) $60^{\circ}$ 6) $120^{\circ}$ 7) $120^{\circ}$ 8) $110^{\circ}$
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problem 6 determine whether the pair of figures represents an original …
No
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which theorem shows that △abc≅△def? o sas triangle congruence theorem o…
C. SSS Triangle Congruence Theorem
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4) ∠4 and ∠6 can be classified as 1) alternate interior angles 2) corre…
1) alternate interior angles
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which theorem is not a valid theorem to show that 2 triangles are congr…
C. SSA
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name the angle included by the sides $overline{pn}$ and $overline{nm}$.…
Angle N
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3) ∠6 and ∠7 can be classified as 1) alternate interior angles 2) corre…
3) interior angles on the same side of the transversal
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the segment qp can be mapped to segment <br>by any composition of rigid…
TS
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2) ∠3 and ∠6 can be classified as 1) alternate interior angles 2) corre…
1) alternate interior angles
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problem 4 select all the figures that could be a scaled copy of triangl…
The two right - angled triangles among the options that have the same shape as triangle \(F\) (same angles and proportional side lengths).
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in the figure shown, which composition of rigid motions will map one tr…
rotation followed by a translation
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questions 1 through 4 refer to the following: 1) ∠1 and ∠5 can be class…
2) corresponding angles
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unit 4 test review which theorem shows that the following triangles are…
D. SSS Triangle Congruence Theorem
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what is the volume of this figure? 1 cm 3 cm 4 cm 5 cm 3 cm 1 cm 3 cm 4…
27
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question determine the relationship between the two triangles and wheth…
The two triangles are related by Side - Side - Angle (SSA), so the triangles cannot be proven congruent.
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what is the length of the hypotenuse? if necessary, round to the neares…
82
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which figures are translations of figure a? choose all that apply. figu…
D. Figure D, F. Figure F
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which figure is a translation of figure p? figure q how can you map fig…
- ¿Cuál figura es una traducción de la figura P? Figure Q - ¿Cómo se puede mapear la figura P sobre la figura Q? Translate figure P 6 units to the right.
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point d shows the location of a drummer in a marching band formation. t…
El nuevo punto D tiene la misma coordenada x que el punto original y una coordenada y que es 2 unidades menor que la coordenada y del punto original.
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what is the length of the hypotenuse? if necessary, round to the neares…
$7.3$
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find the slope of the line graphed below.
$2$
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7. in each diagram, line m is parallel to line n, and line t intersects…
The value of \(x\) is \(47^{\circ}\), because the two angles shown in each diagram are congruent.
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what is the length of the missing leg? if necessary, round to the neare…
\(4.9\)
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what is the length of the hypotenuse? if necessary, round to the neares…
\(5.7\)
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find the slope of the line graphed below.
$-3$
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find ef in the trapezoid. ef =
32
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1. john runs at different speeds as part of his training program. the g…
C ### 2.
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in a right triangle, a and b are the lengths of the legs and c is the l…
$4.6$
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find the slope of the line graphed below.
$-\frac{3}{4}$
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solve the compound inequality. graph the solution set and write it in i…
A. The solution set is \((-4,3)\) A. (The graph with an open - circle at \(-4\), an open - circle at \(3\), and a line segment between them)
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find the measures of the numbered angles in the kite. the figure is not…
71
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what is the length of the hypotenuse? if necessary, round to the neares…
$6.2$
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express sin n as a fraction in simplest terms.
$\frac{7}{25}$
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express tan b as a fraction in simplest terms.
$\frac{3}{4}$
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what is the distance between the following points? choose 1 answer.
# Explicación: ## Paso 1: Identificar coordenadas de los puntos Supongamos que el primer punto tiene coordenadas \((x_1,y_1)=(- 3,5)\) y el segundo punto tiene coordenadas \((x_2,…
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are these lines parallel?
yes
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write the ordered pair that represents the midpoint of the two given po…
$(0,-3)$
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what is the distance between the points shown on the coordinate plane b…
$5.4$
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solve the compound inequality. graph the solution set and write it in i…
A. The solution set is \((-4,3)\) The correct graph of the solution set is a number line with an open - circle at \(x=-4\), an open - circle at \(x = 3\), and the region between t…
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talia is packing a moving box. she has a square - framed poster with an…
The dimensions of the square poster are 4 ft×4 ft. If the poster were the side of a cube, that cube would have a volume of 64 $ft^{3}$. The box has a volume of 69 $ft^{3}$, so the…
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what is the length of the hypotenuse? if necessary, round to the neares…
$8.7$
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the diagram below is an oblique, or slanted, rectangular prism. not all…
Plane $OPQR$ and plane $PQML$ (answers may vary, other correct pairs like plane $OPQR$ and plane $ONKL$ etc. are also possible)
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what is m∠1? m∠1 = °
41
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two points are given from each of two lines (l_1) and (l_2). without gr…
The lines $L_1$ and $L_2$ are parallel.
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solve the compound - inequality. graph the two inequalities on the firs…
We need to see the actual options clearly. But the solution set of \(x>12\) on a number - line has an open circle at 12 and the line extending to the right. If among the options, …
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talia is packing a moving box. she has a square - framed poster with an…
The dimensions of the square poster are 4 ft $\times$ 4 ft. The volume of the cube with side - length equal to the side of the poster is 64 ft³. The box has a volume of 70 ft³, so…
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what is the area of this figure? write your answer using decimals, if n…
107
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what is the length of the hypotenuse? if necessary, round to the neares…
$7.8$
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question find the measure of the missing angle. answer attempt 1 out of…
70°
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the midpoint of $overline{tu}$ is $m(8.5, - 1)$. one endpoint is $t(17,…
$(0,-1)$
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talia is packing a moving box. she has a square - framed poster with an…
Yes, the poster will lie flat in the box because the side - length of the box (implied by its volume) is larger than the side - length of the poster.
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which equation can be used to solve for x in the following diagram? cho…
A. $x+(6x - 15)=90$
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which equation can be used to solve for x in the following diagram? cho…
# Explicación: ## Paso 1: Identificar la suma de ángulos Los ángulos $6x^{\circ}$, $12x^{\circ}$ y el ángulo recto de $90^{\circ}$ forman un ángulo llano de $180^{\circ}$. ## Paso…
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what is the relationship between ∠a and ∠b? choose 1 answer: a vertical…
A. Vertical angles
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this parallelogram is a scaled copy. it was scaled by a factor of 2. su…
Base: $4$ cm, Height: $1$ cm
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the triangles are congruent by sss. which transformation(s) can be used…
reflection only rotation, then translation
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r is the mid - point of $overline{qs}$. if $qr=x + 6$ and $rs = 3x$, wh…
9
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in the diagram, what is m∠vsr? m∠vsr =
$100^{\circ}$
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what is the distance between points a and b? -6 units -1 units 5 units …
C. 5 units
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two lines intersecting at a right angle form a line. are parallel. are …
C. are perpendicular
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performance task for each part a through c, answer the question and inc…
Part A: Yes, it is possible. When reflected across the y - axis, Building 2 will move to the negative x - region where there are no other buildings. Part B: No, it is not possible…
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6. what is the slope of $overline{ec}$? $a(a, b)$ $c(c, d)$ $e(e, 0)$ $…
$\frac{d}{c - e}$
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plot the point. then plot the point that is symmetric to it with respec…
Symmetric to $(5, - 7)$ about: (a) x - axis: $(5,7)$ (b) y - axis: $(-5,-7)$ (c) origin: $(-5,7)$
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determine the relationship between the two triangles and whether or not…
The two triangles are related by Side - Side - Angle (SSA), so the triangles cannot be proven congruent.
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you start at (1, 5). you move down 8 units. where do you end?
(1, - 3)
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what is the measure of ∠x? angles are not necessarily drawn to scale. x…
33
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answer attempt 1 out of 2 area = units² submit answer
# Explicación: ## Paso 1: Encontrar dimensiones del primer rectángulo Observando el gráfico, el primer rectángulo (con vértices A, B, C, F) tiene un lado horizontal que va de $x =…
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question 6 (multiple choice worth 1 points) (06 04 mc) a rectangle and …
A cylinder
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solve the inequality and graph the solution. 4(g - 6) < 8 plot the endp…
The solution of the inequality is $g < 8$. On the number - line, we plot an open circle at 8 (since the inequality is strict, $g$ cannot equal 8) and draw a ray to the left of 8.
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solve the inequality and graph the solution. 2(f + 8) - 5 > 7 plot the …
The solution of the inequality is $f>-2$. On the number line, there is an open - circle at $-2$ and a ray extending to the right.
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9. triangle abc has vertices at a(3, 5), b(5, 7) and c(7, 5). lisa beli…
A. Because $AB = 2\sqrt{2}$ units, $BC = 2\sqrt{2}$ units and $AC = 4$ units.
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determine the equation of the line. (type an equation. simplify your an…
$y = 6x-8$
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topic: figures in 1 and 2 dimensions progress: the movement of the prog…
Rays: $\overrightarrow{XW}$, $\overrightarrow{ZY}$; Lines: $\overleftrightarrow{XZ}$
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12. in △mno and △pqr, ∠mno≅∠pqr and no≅qr. what additional congruence i…
B. $MN\cong PQ$
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the triangles are congruent by the sss congruence theorem. which transf…
reflection then translation
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the triangles are necessarily congruent. for each of the first three bo…
Yes
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answer attempt 1 out of 3 perimeter = units submit answer
$32$
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find the distance between the points (3, 8) and (9, 1). round decimals …
$9.2$
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complete the square and write the given equation in standard form. then…
$6$
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complete the square and write the given equation in standard form. then…
$(-2,1)$