Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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given that ba→ bisects ∠dbc, which statement must be true? m∠abd = m∠ab…
m∠ABD = m∠ABC
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which is the endpoint of a ray? point r point u point s point t
point S
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which is the line shown in the figure? line wz line xy line xz line wx
C. line XZ
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point g lies between points f and h on fh. if the length of fh is 18 un…
3
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is s the midpoint of $overline{pq}$? pq = 68, ps = 5x+1, sq =3x-13. yes…
No, PS = 51 and SQ = 17
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solve for x and graph the solution. |x - 5|>4 click to select points on…
The solution is \(x<1\) or \(x > 9\). On the number - line, open circles at 1 and 9 with shading to the left of 1 and to the right of 9.
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in which pair of figures can figure a be taken to figure b by a rotatio…
b. Pair 2
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click and drag to draw a ray from the yellow dot. to redraw, click and …
\(m\angle TUW = m\angle VUW\)
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draw an angle bisector of ∠rst by click and drag to draw a ray from the…
$\frac{1}{2}(m\angle RST)=m\angle RSU$
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click and drag to draw a ray from the yellow dot. to redraw, click and …
$2(m\angle GHJ)=m\angle GHI$
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question 2 of 2 is a 10 - foot ladder long enough to safely reach a lan…
Yes
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click and drag to draw a ray from the yellow dot. to redraw, click and …
\(m\angle KLM = 2(m\angle MLN)\)
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lesson practice a1.1.06 1. match each sequence to its explicit expressi…
### 1. Match each sequence to its explicit expression - **Sequence a: 4, 10, 16, 22** - # Explanation: ## Step1: Identify the type of sequence This is an arithmetic - sequence wit…
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click and drag to draw a ray from the yellow dot. to redraw, click and …
$2(m\angle QRT)=m\angle QRS$
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part b using squares 1, 2, and 3, and eight copies of the original tria…
Side - length of square 4 and 5 is \(a + b\). They have the same area.
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click and drag to draw a ray from the yellow dot. to redraw, click and …
\(m\angle PQS = m\angle RQS\)
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part a the pythagorean theorem states that for any given right triangle…
The sum of the areas of the two smaller squares is equal to the area of the largest square.
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5 select the correct answer. what is the approximate distance between p…
D. 8.25 units
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identifying the rule for a composition of transformations. which rule d…
# Ex[SSE Completed, Client Connection Error][LLM SSE On Failure]
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select the correct answer. lmn is an isosceles triangle. what is the ap…
D. The approximate length of side LM is 6.4 units, and the approximate perimeter of triangle LMN is 22 units
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select the correct answer. what is the length of vw? a. 16 units b. $sq…
D. \(\sqrt{20}\) units
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identify the intersection of line l and line m
$(1,3)$
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kyla applied r_m ∘ t_{v,3} to triangle abc. what mistakes did she make?…
She changed the size of the triangle instead of just applying a translation. She applied a rotation instead of a reflection.
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consider a triangle abc like the one below. suppose that a = 54°, b = 9…
$C = 28^{\circ}, a\approx100.1, b\approx122.6$
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14. if $overline{ef}$ bisects $overline{cd}$, $cg = 5x - 1$, $gd = 7x -…
$19$ ### 15.
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question 6 vihaan bought 7.05 worth of 45 cent stamps and 69 cent stamp…
8 ### Question 7 The formula for the perimeter of a rectangle is $P = 2(l + w)$, where $l$ is the length and $w$ is the width. Given $l = 14$.
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abcd ~ fecg w = ?°
80
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the main, or central, idea of the passage is because of the triangle sh…
It identifies the conditions that led to the great loss of life in the fire.
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the triangle shirtwaist fire the early twentieth century was a difficul…
Because of the Triangle Shirtwaist Factory fire, the government began to regulate working conditions in factories.
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richard is building a fence in his backyard. the fence will have 3 side…
39 yards
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find the value of x. 42 6x - 1 10x + 5 78 x = ?
$6$
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the building blocks of geometry are the undefined terms of point, line,…
B. a point
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find the value of x. x = ?
$2$
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one vertex of a triangle is located at (0, 5) on a coordinate grid. aft…
\( R_{0, -90^\circ} \)
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points, lines, and planes quick check precisely define an angle. (1 poi…
An angle is the figure formed by two lines extending from the same point.
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δacb ~ δefd z = ?°
$60$
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find the surface area of a cylinder with a base radius of 6 yd and a he…
$180\pi$ square yards
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triangle xyz has vertices x(1, 3), y(0, 0), and z(-1, 2). the image of …
R₀,90°
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9 choose the options that best fit the blank boxes. (1 point) 1 definit…
1. definition of a rectangle 2. opposite sides of rectangle are congruent 3. reflexive property of congruence 4. SAS congruence postulate
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a triangle has vertices at r(1,1), s(-2,-4), and t(-3,-3). the triangle…
(-4, 2)
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8 choose the options that best fit the blank boxes. (1 point) 1 mn = qp…
1. \(MN = QP\) and \(MQ = NP\) (The opposite sides of a parallelogram are congruent) 2. \(MP = MP\) (Reflexive Property of Congruence) 3. \(\triangle MQP\cong\triangle PNM\), SSS …
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5. what is the side length of the square? 64 mm²
$8$ mm
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one vertex of a polygon is located at (3, - 2). after a rotation, the v…
R₀,90°, R₀,-270°
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8 choose the options that best fit the blank boxes. (1 point) 1 angle n…
1. \(MN = QP\) and \(MQ = NP\) 2. \(MP = MP\) 3. SSS Congruence Postulate 4. \(\angle N\cong\angle Q\) (by CPCTC)
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abcd ~ fecg y = ?
$\frac{10}{3}$
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quadrilateral abcd is transformed according to the rule (x, y)→(y, -x).…
R₀, 270°
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7 choose the options that best fit the blank boxes. (1 point) 1 qm=rm 2…
1. QM = RM 2. Definition of median 3. PM = PM 4. SSS Congruence Postulate 5. CPCTC
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find the value of x. x = ?
$3$
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11 you can use a calculator. triangle hks is congruent to triangle dly.…
32.0
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triangle mnp is rotated - 270° about the origin. if m(7, - 2), n(4, - 3…
M': (2, 7), N': (3, 4), P': (1, 2)
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find the value of x. x = ?
$5$
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3. for each set of angles, determine whether there exists a triangle wh…
a. Yes b. No c. Yes
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find the value of x. 6x + 6 9x - 9 32 24 x = ?
$3$
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a triangle has vertices at l(2, 3), m(4, 4) and n(1, 6). the triangle i…
The rule for the transformation is (x,y)→(-x,-y). The coordinates of L' are (-2,-2). The coordinates of N' are (-1,-6).
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the area (in square inches) of a rectangle is given by the polynomial f…
$q + 3$
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find the value of x. 5 17 2x + 3 10x - 9 x = ?
$6$
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which of the following describes the graph of the equation (x + 7)^2 + …
Un círculo con radio 2 y centro (-7, 2)
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a pre - image is transformed according to the rule (t_{(x,y)\to(-y,-x)}…
\( (x, y) ightarrow (-x, -y) \)
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10 choose the options that best fit the blank boxes. (1 point) given m …
1. angle addition postulate 2. alternate exterior 3. substitution property of equality 4. definition of a bisector
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micaela tried to rotate the square 180° about the origin. is her rotati…
No, she reflected the figure instead of rotating it.
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9 choose the options that best fit the blank boxes. (1 point) given rec…
1. definition of a rectangle 2. opposite sides of rectangle are congruent 3. reflexive property of congruence 4. SAS congruence postulate
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rotating a negative number of degrees. which shows the image of triangl…
[The image corresponding to vertices transformed by \((x,y) \to (y,-x)\)]
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3. find the area of the shaded region. use 3 for π. 10 m 5 m
$31.25$ m²
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(c) problem 19: (first taught in lesson 17) one angle of a linear pair …
128, 52
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8 choose the options that best fit the blank boxes. (1 point) angle n=a…
1. \(\angle N=\angle Q\) (Opposite angles of a parallelogram are equal) 2. \(MP = MP\) (Reflexive Property of Congruence) 3. \(MN = QP\) and \(MQ = NP\) (Opposite sides of a paral…
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a complement of an angle is 5 times as large as the angle. find the ang…
$15^{\circ}$
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2. find the missing angle. 37° 62° x°
$81^{\circ}$
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problem 16: (first taught in lesson 12) if line (l) bisects (overline{k…
46
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problem 14: (first taught in lesson 23) given ℓ || m, find m∠qpr. after…
$90^{\circ}$
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7 choose the options that best fit the blank boxes. (1 point) cpctc qm=…
1. Definition of median: $QM = RM$ 2. SSS Congruence Postulate: $\triangle PQM\cong\triangle PRM$ (using $PQ = PR$, $QM = RM$, $PM = PM$) 3. CPCTC: $\angle Q=\angle R$
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(b) problem 13: given \\(\\overrightarrow{ft}\\parallel\\overrightarrow…
$x = 21$
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does the point (10, 3) lie on the circle defined by the equation (x - 7…
El distancia entre el punto $(10,3)$ y el centro del círculo es $5$ unidades. Dado que esa distancia es igual al radio del círculo, el punto $(10,3)$ está en el círculo.
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which postulate or theorem proves triangle abc is congruent to triangle…
SAS Congruence Postulate
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1. the area of a circle is 111.6 square centimeters. what is the diamet…
1. 12 cm 2. $99^{\circ}$ 3. $31.25$ m² 4. $90^{\circ},45^{\circ},45^{\circ}$
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problem 12: (first taught in lesson 23) given that (overline{ed}paralle…
They are alternate - interior angles; congruent
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a rectangle was rotated 270° about the origin. the image is shown. whic…
M(3,2), N(-3,1)
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select the expression that can be used to determine the amount of decor…
The amount of decorative border wallpaper needed is the perimeter of the rectangle. The formula for the perimeter $P$ of a rectangle with length $l$ and width $w$ is $P = 2(l + w)…
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(a) problem 11: (first taught in lesson 23) given that $overline{ed}par…
∠D and ∠A are alternate - interior angles; congruent
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in the diagram, $overline{ah}$ is a perpendicular bisector of $overline…
5. Razon: Criterio de congruencia SAS (Lado - Ángulo - Lado). 6. Razon: Ángulos correspondientes de triángulos congruentes son congruentes (CPCTC).
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triangles efg and xyz are shown below. which of these statements follow…
\(\triangle EFG\) is not necessarily congruent to \(\triangle XYZ\).
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select all the correct answers. based on the side lengths given (a, b, …
$a = 6,b = 8,c = 10$; $a = 5,b = 6,c=\sqrt{61}$
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4 type the correct answer in the box. the length of the shadow on flat …
10
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given: $overline{ab}paralleloverline{fe}$; $overline{bc}$ bisects $angl…
1. **Statement**: $\overline{AB}\parallel\overline{FE}$; **Reason**: Given 2. **Statement**: $\angle ABE=\angle BEF$ (alternate - interior angles are equal); **Reason**: If two pa…
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select all the correct answers. the area of a baseball field bounded by…
C. \(\sqrt{16,200}\) feet
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2 select the correct answer from the drop - down menu. the smiths want …
12.4
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select all the correct answers. what is the length of side pq in this f…
C. $\sqrt{52}$
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given: $overline{ab}paralleloverline{fe}$; $overline{bc}$ bisects $angl…
1. Given: The reasons for the first - step statements are given in the problem itself. 2. Definition of angle - bisector: By the definition of an angle - bisector, if a ray bisect…
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3 multiple choice 1 point the melody of the star - spangled banner is c…
C. disjunct
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in the diagram, the cone is inscribed within the cube. if a point withi…
$\frac{\pi}{12}$
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the diagram shows △rtv and △stu. in the diagram, rv⊥su, rs = 9, tu = 8,…
6
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read this excerpt from the yellow wallpaper: then i peeled off all the …
B. Anxious
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problem 22 given: $overline{mn}paralleloverline{pq}paralleloverline{sr}…
1. $\overline{MN}\parallel\overline{PQ}\parallel\overline{SR}$, $\overline{MR}\parallel\overline{ST}$ 2. Corresponding - angles postulate (Since $\overline{MN}\parallel\overline{S…
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3 multiple choice 1 point the melody of the star - spangled banner is d…
C. conjunct
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problem 10: (first taught in lesson 18) given that $overline{ed}paralle…
A. Vertical angles; congruent
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geometry: concepts & connections unit 3 georgias k - 12 mathematics sta…
8. Reflection over the y - axis followed by a translation of (x,y - 7) 9. Since a rigid motion maps △DGL to △CNB, the corresponding sides and angles are congruent. - Corresponding…
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problem 9: from this given statement, select the definition, property, …
A. Addition Property
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from this given statement, select the definition, property, postulate, …
The property that justifies the prove statement is the Transitive Property of Congruence. So, assuming one of the options is "Transitive Property of Congruence", that would be the…
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complete this sentence with the best of the choices given. if parallel …
B. supplementary
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complete this sentence with the best of the choices given. a ______ is …
perpendicular bisector
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complete this sentence with the best of the choices given. if the exter…
A. complementary