Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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ii vx = wz = 40 cm and m∠zv x = m∠xwz = 22°, can δvzx and δwxz be prove…
Yes, along with the given information, $\overline{ZX} \cong \overline{ZX}$ by the reflexive property.
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3. find the unknown side of the triangle below.
Approximately 27.7 m (or exactly \(3\sqrt{85}\) m)
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question 2 points 2 find the values of x and y in the triangle abc. opt…
\( x = 70^\circ \) and \( y = 70^\circ \) (the second option: \( x = 70^\circ \) and \( y = 70^\circ \))
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triangles rqs and ntv have the following characteristics: - right angle…
No, it is not possible for the triangles to be congruent.
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18. what is the value of y that makes t || u ? (7x)° t (6y + 9)° (3x + …
\( y = 18 \)
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∠1与∠3 2. proof write a proof. given: \\(\\overline{cd} \\cong \\overlin…
$\overline{CE} \cong \overline{CF}$ is proven via SAS congruence and CPCTC.
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although james oglethorpes vision for georgia called for alcohol and sl…
South Carolina (the option with the blue - circled radio button: South Carolina)
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what is ( mangle abc )? ( circ ) ( mangle abc = 15^circ ) ( circ ) ( ma…
B. m∠ABC = 60°
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given the matrices a and b shown below, find a + b. a = \\begin{bmatrix…
$$\begin{bmatrix}-2 & -8 \\3 & 5 \\2 & -1 \\-7 & -2\end{bmatrix}$$
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in the triangles, \\(\\overline{bc} \\cong \\overline{de}\\) and \\(\\o…
longer than
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triangle pqr has vertices p(-2, 6), q(-8, 4), and r(1, -2). it is trans…
-10
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triangle pqr has vertices p(-2, 6), q(-8, 4), and r(1, -2). it is trans…
-9
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triangle abc is rotated to create the image abc. which rule describes t…
(x,y) → (-x,-y)
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triangle abc is shown on the graph. what are the coordinates of the ima…
(-2, -4)
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square rstu is translated to form rstu, which has vertices r(-8, 1), s(…
C. (-1,-6)
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17. find the value of x. then find the measure of each labeled angle. a…
The value of \(x\) is \(119\). The measure of \(\angle B\) is \(119^\circ\) and the measure of \(\angle C\) is \(61^\circ\).
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which figure correctly demonstrates using a straight line to determine …
The top figure (circle with intersecting vertical line)
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what is the value of x? \ \ \\bigcirc x = 2.25 \ \\bigcirc x = 11.25 \ …
x = 11.25
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find $m\\angle y$ and $wy$. triangle image with vertices w, y, x; sides…
m∠Y = 60°, WY = 7 in.
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a man dries colorful pieces of fabric at a factory in mandalay, myanmar…
- A: b. the history of dyes - B: dye; parts of trees; more; a lot of shellfish
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which equation represents the circle described? the radius is 2 units. …
\((x - 4)^2 + (y - 3)^2 = 2^2\) (the second option)
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a parallelogram is transformed according to the rule (x, y) → (x, y). w…
A. $R_{O,360^\circ}$
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3. find the value of x. (there is a triangle abc with angle c = 60°, si…
10
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which angle is an adjacent interior angle to ∠jkm? options: ∠jkl, ∠mkl,…
∠KLM
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right triangle lmn has vertices l(7, -3), m(7, -8), and n(10, -8). the …
(x,y) → (x-8, y+11)
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the function rule ( t_{-4, 6}(x, y) ) could be used to describe which t…
a rectangle on a coordinate plane that is translated 4 units to the right and 6 units up
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what are the coordinates of the image of vertex f after a reflection ac…
(3,-1)
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if isosceles triangle abc has a 130° angle at vertex b, which statement…
The second option (m∠A + m∠B = 155°)
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the lengths of the sides of triangle xyz are written in terms of the va…
∠Y < ∠Z < ∠X (corresponding to the option "m∠Y < m∠Z < m∠X")
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higher order thinking in the diagram, $r_{(180^{circ}, o)}(\\triangle a…
A possible composition is a 180° rotation about the origin followed by a translation (e.g., \( (x,y) \to (x-2,y-2) \)) (exact translation depends on precise graph coordinates, but…
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there is a geometric figure with a circle and a triangle. the triangle …
8
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14. this question has two parts. first, answer part a. then, answer par…
To solve for \(m\angle XYZ\) when \(\overrightarrow{YW}\) bisects \(\angle XYZ\), \(m\angle XYW=(6x - 18)^\circ\), and \(m\angle WYZ=(3x + 15)^\circ\): ### Step 1: Use the Angle B…
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a company makes wax candles shaped like rectangular prisms. each candle…
\(41\)
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in the diagram, which must be true for point d to be an orthocenter? - …
BE ⊥ AC, AG ⊥ BC, and CF ⊥ AB.
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a rectangle is transformed according to the rule ( r_{0, 90^circ} ). th…
(-4, -3) (Option 1)
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brian wants to buy new carpet for his living room floor. the floor is i…
\(1824\)
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which figure represents the image of parallelogram lmnp after a reflect…
C. figure C
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question the diameter of a circle is 163 ft. find the circumference to …
\(512\)
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2. \\(\\overline{cm}\\), \\(\\overline{hi}\\), \\(\\overline{en}\\), an…
| Condition | Is \(\overline{EN}\parallel\overline{AB}\) or \(\overline{CM}\parallel\overline{HI}\)? | Justification | |---|---|---| |\(\angle CDJ\cong\angle KLM\)| No | Not corre…
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if triangle rst is an acute triangle, then m∠s must be ○ less than 90°.…
less than 90°
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question the radius of a circle is 2.5 in. find the circumference to th…
\(15.7\)
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in triangle trs, vz = 6 inches. what is rz? options: 3 inches, 6 inches…
B. 12 inches
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find the area of the shaded region of circle v below. round your answer…
\(14.0\)
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which diagram has arrows that point in the direction of increasing numb…
The Left - most Diagram
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which statements regarding the diagram of δebc are true? select three o…
$\square$ $\angle DEC$ is an exterior angle, $\square$ $\angle ABE$ and $\angle EBC$ are supplementary angles, $\square$ $\angle BEC$ is a remote interior angle to exterior $\angl…
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square ijkl circumscribes circle m. find the area of the shaded region.…
\(36.3\)
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a point is on a circle if the distance from the center of the circle to…
radius.
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11. ∠efh and ∠hfi are complementary angles. if m∠efh = (2x + 2)° and m∠…
\(30^\circ\)
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examples 3 and 4 . find the value of x. (there is a triangle with verte…
12
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there is a triangle and a circle. the length of one side of the triangl…
\(8\) (the option corresponding to \(8\))
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question 1 / 6 the figure above shows quadrilateral wxyz. what is the m…
C. \( 135^{\circ} \)
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8. the ( mangle u = 3x^circ ), and ( mangle v = 2(mangle u)^circ ). fin…
\(x = 20\)
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geometry unit 3 lesson 5 homework name_____________________ date_______…
| Condition | Is \(\overleftrightarrow{AB}\parallel\overleftrightarrow{CD}\)? | Justification | |---|---|---| |\(\angle ELA\cong\angle DMR\)| No | Not corresponding/alternate - in…
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7. \\(\\overrightarrow{ab}\\) bisects \\(\\angle cat\\). if \\(m\\angle…
\( x = 2.5 \)
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use the number line to answer the question. a b c d -4 -3 -2 -1 0 1 2 3…
\(AC,CD\)
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katie wants to collect over 100 seashells. she already has 34 seashells…
Inequality: $34 + 12d > 100$ Graph: Open circle at 5.5 on number line, blue line extending right from 5.5.
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coach luna is designing a rectangular practice field for elementary soc…
\(w^{2}+6w\)
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14. (4 points) determine what type of symmetry, if any, each shape has.…
| Name | Shape | Line Symmetry | Rotational Symmetry | Point Symmetry | No Symmetry | |---|---|---|---|---|---| | Square | | X | X | X | | | Scalene Triangle | | X | | | X | | Reg…
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the width of a yard is four less than a number. the length is five more…
A. \(x = 5\) and \(x=-3.5\) are both solutions
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workers at the botanical gardens are building a new triangular pond as …
2.4 (rounded up to 3 if whole bags are required, but based on calculation it's 2.4)
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6 yd 135° 29.3 16.8 21.2 14.1
14.1
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10. (4 points) graph and label the image of a(7, -6) after a reflection…
1. **Problem 10**: - **Reflection over \(y = x\)**: - The rule for reflection over \(y=x\) is \((x,y)\to(y,x)\). For the point \(A(7, - 6)\), after reflection over \(y = x\), the …
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6 the length of a rectangle is twice the width w. which expressions rep…
A. $2w + w + 2w + w$, B. $2w + 2(2w)$, C. $2(w + 2w)$, E. $6w$
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scale factor: rule: scale rule: which of the following is not a true st…
d. The dilation changed the orientation of the figure.
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1. (3 points) when g(3, -5) is reflected in the line y = -2, what is th…
\(G'(3,1)\) ### Problem 2
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1) reflection across l rotation of 40° clockwise rotation of 30° counte…
The correct options are: - reflection across \( l \) - rotation of \( 45^\circ \) counterclockwise
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use your knowledge of dilations to answer each question below. justina …
\((x,y)\to(1.5x,1.5y)\)
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find the length of the leg x. enter the exact value, not a decimal appr…
\(5\sqrt{5}\)
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4. (3 points) the image of point f reflected in the line y = x is locat…
\(F(1,-7)\) ### Question 5
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4i) which of the following transformations carry this regular polygon o…
rotation of \( 40^\circ \) counterclockwise
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which of the following transformations carry this regular polygon onto …
- reflection across \( l \) - rotation of \( 120^\circ \) counterclockwise - rotation of \( 120^\circ \) clockwise
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find m∠a. write your answer as an integer or as a decimal rounded to th…
\( 41.1 \)
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find m∠f. write your answer as an integer or as a decimal rounded to th…
\( 43.0 \)
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find m∠e. e f 4.6 8 d write your answer as an integer or as a decimal r…
\( 60.1 \)
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which pairs of figures are congruent? which pairs are similar? (first f…
Top-left pair: Congruent? Yes, Similar? Yes Top-right pair: Congruent? No, Similar? Yes Bottom-left pair: Congruent? No, Similar? Yes Bottom-right pair: Congruent? No, Similar? No
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in the figure below, h || l and j || k. find the values of y and z. y =…
\( y = 112 \), \( z = 112 \)
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find m∠h. triangle hig with right angle at i, ig = 2.5, hg = 7.5 write …
\( 19.5 \)
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find m∠g. write your answer as an integer or as a decimal rounded to th…
\( 46.7 \)
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in the figure below, n is parallel to o. find the values of x and z. (3…
\(x = 63\), \(z = 11\)
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in the figure below, n is parallel to o. find the values of x and z. (3…
\(x = 117\), \(z = 11\)
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in the figure, line m is parallel to line n, and line q is perpendicula…
\(55\)
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find m∠g. f 3.5 5.9 g h write your answer as an integer or as a decimal…
\( 59.4 \)
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find ( mangle x ). (diagram of right triangle ( xvw ) with right angle …
\( 36.9 \)
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one angle measures 170°, and another angle measures (6k + 44)°. if the …
\(k = 21\)
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determine the distance between the points (-5, -3) and (-10, -8). ○ √7 …
\(\sqrt{50}\) units
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determine the degree measure of one angle of a 45 - sided regular polyg…
172°
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in triangle abc, ( mangle b = (11x - 28)^circ ) and the measure of the …
\(137^{\circ}\)
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a tree that is 10 feet tall casts a shadow that is 8 feet long. what is…
12.8 feet
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which pairs of figures are congruent? which pairs (partially obscured) …
Top-left: Congruent? Yes, Similar? Yes Top-right: Congruent? No, Similar? Yes Bottom-left: Congruent? No, Similar? Yes Bottom-right: Congruent? No, Similar? No
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19) 20) -2-
19) \(b = 140^{\circ}\) 20) \(b = 72^{\circ}\)
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which pairs of figures are congruent? which pairs are similar? (first f…
Top-left: Congruent? No; Similar? Yes Top-right: Congruent? Yes; Similar? Yes Bottom-left: Congruent? No; Similar? No Bottom-right: Congruent? Yes; Similar? Yes
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which pairs of figures are congruent? which pairs are similar? (first f…
Top-left (squares): Congruent? No, Similar? Yes Top-right (triangles): Congruent? Yes, Similar? Yes Bottom-left (circle & oval): Congruent? No, Similar? No Bottom-right (L-shapes)…
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sss ~ determine if the triangles are similar by side-side-side similari…
None of the triangles are similar by SSS similarity.
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for each figure, circle composite figure or not a composite figure. the…
4. composite figure; cone, cylinder 5. not a composite figure; cylinder 6. composite figure; cone, hemisphere
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use the list to write the dimensions that can be used to find the volum…
1. Sphere: radius 2. Cone: radius, height, slant height 3. Cylinder: radius, height
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angle relationships & measurements (basic) name the relationship: suppl…
1. Vertical 2. Vertical 3. Vertical 4. Vertical 5. Adjacent 6. Corresponding 7. Adjacent 8. Corresponding 9. \(104^{\circ}\) 10. \(31^{\circ}\)
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in circle d, ∠edh ≅ ∠edg what is the measure of widehat{eh}? 57° 4 f j …
\(246^\circ\) (the option with \(246^\circ\))
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use the diagram to help you match each expression in column a to the co…
4. \(2\pi x\) - circumference of base; 5. \(y\) - height; 6. \(z\) - slant height; 7. \(\pi x^{2}\) - area of base; 8. \(\frac{1}{3}\pi x^{2}y\) - volume of cone.
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circle d is shown with the measures of the minor arcs. which angles are…
\(\angle GDH\) and \(\angle EDH\) (i.e., the option " \(\angle GDH\) and \(\angle EDH\)")
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use terms from the list below to complete the sentences. slant height \…
1. cylinder 2. slant height; Pythagorean Theorem 3. circumference