幾何
三角形、圓、解析幾何與證明題。
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question quadrilateral xwyi ≅ quadrilateral tfce. if wy = 4, find et. a…
4
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from the diagram, what can you conclude about \\(\\triangle cad\\)? it …
It is an isosceles triangle.
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drag the correct reasons into the boxes to complete the proof. show hin…
1. Given 2. Corresponding angles and linear - pair relationships 3. Definition of linear - pair 4. Congruent supplements theorem
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question quadrilateral olph can be mapped onto quadrilateral bkjd by a …
$4$
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is there enough information to conclude that the two triangles are cong…
Yes, \(\triangle ACB\cong\triangle ACD\)
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4. suppose $overline{ab}congoverline{ae}$. can you use the sss postulat…
A. neither apply
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11. circle the name of the student who correctly wrote the equation mod…
The student who correctly wrote the equation is Gene. The solution to the equation is \(x = - 10\).
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statements reasons 1. line a is parallel to line b. 1. given 2. 2. 3. 3…
2. $\angle2\cong\angle6$, Corresponding Angles Postulate 3. $\angle1$ is supplementary to $\angle2$, Linear Pairs Theorem
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tv = 3x - 24 and vx = 2x + 1. what is the value of vx? 99 25 51 9
51
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quadrilateral utkd ≅ quadrilateral pliz. if m∠t = 49° and m∠u = 11°, fi…
$11^{\circ}$
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2. if △mno≅△pqr, which of the following can you not conclude as being t…
$\overline{MN}=\overline{PR}$
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quadrilateral utkd ≅ quadrilateral pliz. if m∠t = 49° and m∠u = 11°, fi…
$11^{\circ}$
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statements reasons 1. line a is parallel to line b. 1. given 2. 2. 3. 3…
2. $\angle2\cong\angle6$; 2. Given (to match with the Corresponding Angles Postulate in step 3); 4. Substitution Property (because $\angle1$ is supplementary to $\angle2$ and $\an…
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1. identify the angle or side that is common to △sut and △svt. ○ (overl…
B. $\overline{ST}$
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directions: answer each question below. make sure you show all your wor…
$y=-1$ ### 2.
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prove the consecutive exterior angles theorem using the figure shown. d…
2. Statements: $\angle1=\angle5$; Reasons: Corresponding Angles Postulate 3. Statements: $\angle5+\angle6 = 180^{\circ}$; Reasons: Linear - Pair Postulate 4. Statements: $\angle1+…
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10. each student below wrote an algebraic rule to represent a transform…
Roberto, Maxine
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geometry angles 3.0 find the value of x. 1) 3) 5) m∠2 = 9x - 6 7) m∠2 =…
s will vary depending on the specific angle - related problems in the image. Each problem should be solved using the above - described steps to find the value of the unknown angle.
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if i know the area of a square, how do i find the side length? i square…
I take the square root of the area.
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the area of a square is 100 cm². what is the perimeter? 10 cm 50 cm 40 …
40 cm
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figure 1 and figure 2 below are congruent. which angle corresponds to a…
Angle I
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which statement proves that quadrilateral jklm is a kite? ∠m is a right…
LM = JM = 3 and JK = LK = \(\sqrt{17}\).
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9. max wrote the rule (x,y)→(5x,5y) to represent the dilation below. is…
Max's rule is correct. A dilation centered at the origin with a scale - factor \(k = 5\) has the rule \((x,y)\to(5x,5y)\) which multiplies the \(x\) and \(y\) coordinates of each …
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in the diagram, wz = √26. what is the perimeter of parallelogram wxyz? …
$2\sqrt{26}+8$ units
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calculate the distance between the points n = (0, 2) and e = (6, - 6) i…
$10$
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hijk is a parallelogram because the mid - point of both diagonals is _,…
C. $(1,0)$
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a rectangle has length x and width 5. write an expression for the perim…
$2x + 10$
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kevin draws the letter v on a piece of paper that has parallel lines. t…
\(75\)
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two students want to determine the heights of two buildings. they stand…
# Explicación: ## Paso 1: Encontrar la altura adicional del edificio más alto Usamos la tangente en el triángulo rectángulo formado por la distancia horizontal y la diferencia de …
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which statement proves that the diagonals of square pqrs are perpendicu…
The mid - point of both diagonals is $(4\frac{1}{2},5\frac{1}{2})$, the slope of $\overline{RP}$ is 7, and the slope of $\overline{SQ}$ is $-\frac{1}{7}$.
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the vertices of a quadrilateral in the coordinate plane are known. how …
A. Use the distance formula to find the length of each side, and then add the lengths.
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given n || p. find the measure of each angle.
$\angle1 = 40^{\circ}$, $\angle2 = 140^{\circ}$, $\angle3 = 40^{\circ}$, $\angle4 = 140^{\circ}$, $\angle5 = 40^{\circ}$, $\angle6 = 140^{\circ}$, $\angle7 = 40^{\circ}$
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2.1 unit rates find each unit rate. round to the nearest hundredth, if …
$\$7.78$ per square - foot ### 2.
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given m||n, find the value of x. answer attempt 1 out of 2 submit answer
\(x=\frac{13}{7}\)
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the length of a rectangle is 11 m less than three times the width, and …
Length: 10 m Width: 7 m
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which statement proves that parallelogram klmn is a rhombus? the mid - …
The slope of \(\overline{KM}\) is 1 and the slope of \(\overline{NL}\) is - 1.
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given m||n, find the value of x. answer attempt 2 out of 2 (9x - 10)° (…
\(x=-4\)
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what is the area of this figure?
116 square feet
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given n || p. find the measure of each angle. enter the correct values …
$\angle1 = 40^{\circ}$, $\angle2 = 140^{\circ}$, $\angle3 = 40^{\circ}$, $\angle4 = 140^{\circ}$, $\angle5 = 140^{\circ}$, $\angle6 = 140^{\circ}$, $\angle7 = 140^{\circ}$
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for the triangles to be congruent by hl, what must be the value of x? 2…
4
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find the values of x and y. 16. 17. 18. 19. 20. 21.
\(x=\frac{4}{3}\) 17.
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given m||n, find the value of x.
\(x = 36\)
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the triangles are congruent by the sss congruence theorem. which rigid …
rotation, then translation
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directions: calculate the distance between each set of points below. ro…
- The distance between \((-9,4)\) and \((-5,2)\) is approximately \(4.47\). - The distance between \((-11,7)\) and \((-8,6)\) is approximately \(3.16\). - The distance between \((…
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x ∈ (-∞, ∞) x ∈ (-∞, 5 y ∈ (-∞, 5 y ∈ (-∞, ∞)
y ∈ (-∞, 5]
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the triangles are congruent by the sss congruence theorem. which rigid …
rotation, then translation
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find the values of x and y. 16. 20y°, 16.5x°, 1.5x° 17. 6x°, 3y°, (15x …
\(x = 40,y = 33\) 17.
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apply your knowledge of dilations on the coordinate plane to answer 8 -…
a. Larger b. $(15,20)$
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triangle abc is congruent to △abc by the hl theorem. what single rigid …
B. reflection
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given (mparallel n), find the value of (x).
\(45\)
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the triangles are congruent by sss and hl. which transformation(s) can …
rotation, then translation
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examine this figure. which two pieces of information, if true, would he…
Line MK is the perpendicular bisector of \(\overline{LN}\), \(\overline{ML}\cong\overline{MN}\)
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the volume v of a pyramid is given by the formula v = 1/3bh where b is …
$18\ cm$
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given m||n, find the value of x. answer attempt 2 out of 2
\(x = 14\)
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which value of x would make △suv ≅ △tuw by hl? 2 3 4 5 2x + 9 4x - 1
$x = 5$
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which two triangles are congruent by the asa theorem? complete the cong…
\(\triangle DEC\cong\triangle TUV\)
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the triangles are congruent by sss or hl. which transformation(s) can m…
D. reflection, then translation
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what is the volume of this cone? round your answer to the nearest hundr…
1992.57
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statements reasons 1. p || q 1. given 2. ∠1 ≅ ∠2 2. 3. m∠1 = m∠2 3. 4. …
2. Alternate Interior Angles Theorem 3. Definition of congruent angles 5. $\angle2$ and $\angle3$ are supplementary 6. Definition of supplementary angles 7. $m\angle1 + m\angle3 =…
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given m||n, find the value of x. answer attempt 1 out of 2 x =
$x = 10$
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given m||n, find the value of x. answer attempt 1 out of 2 x =
\(x = 55\)
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solve the inequality. (a) (p - 4<2) (b) graph the inequality.
(a) $p < 6$ (b) On a number - line, draw an open circle at 6 and shade the line to the left of 6.
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find the value of $x$.
$x = \frac{83}{3}$
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the distance formula is often used in to design efficient layouts and e…
The first blank: Urban Planning; The second blank: Coordinates
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the form of a quadratic equation is used in geometry to derive the dist…
1. False 2. Algebraic
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find the measure of the missing angles. answer attempt 1 out of 2 x = °…
\(x = 61^{\circ}\), \(y = 29^{\circ}\)
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which two triangles are congruent by the aas theorem? complete the cong…
\(\triangle ECD\cong\triangle QRP\)
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what is the area of this figure? square kilometers
104
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one application of the distance formula in biology is tracking the patt…
1. movement 2. concepts 3. square
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what is the area of this figure?
94 square miles
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the length of a rectangle is 6 yd longer than its width. if the perimet…
55 square yards
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in a right triangle, the side opposite the right angle is known as the.…
1. Hypotenuse 2. Precision
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which angles are adjacent to each other? ∠3 and ∠2 ∠1 and ∠3 ∠2 and ∠10…
$\angle3$ and $\angle2$
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what additional information would make it immediately possible to prove…
AX and CX are congruent.
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∠a and ∠b are supplementary angles. find m∠a and m∠b. 29. m∠a=(x + 50)°…
**Problem 29**: \(m\angle A = 65^{\circ}\), \(m\angle B = 115^{\circ}\) **Problem 30**: \(m\angle A = 150^{\circ}\), \(m\angle B = 30^{\circ}\) **Problem 31**: \(m\angle A = 163^{…
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solve the inequality. (a) (p - 4 < 2) (b) graph the inequality.
(a) $p < 6$ (b) On the number - line, draw an open circle at 6 and shade the line to the left of 6.
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what additional information would make it immediately possible to prove…
AX and CX are congruent.
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which angle is supplementary to ∠2? ∠4 ∠1 ∠5 ∠3
∠5
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to find the distance between two points, you must calculate the square …
1. $x$; $y$ 2. Cartesian (or rectangular)
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which angles are complementary to each other? ∠4 and ∠5 ∠5 and ∠3 ∠6 an…
∠2 and ∠5
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recognizing sss situations ab ≅ bc and ad ≅ cd what additional informat…
1. \(\angle AXB=\angle CXB = 90^{\circ}\) 2. \(AX = CX\)
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which angles are congruent to each other? ∠11 and ∠8 ∠1 and ∠3 ∠4 and ∠…
\(\angle1\) and \(\angle3\)
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19 solve the inequality. (a) (s + 1geq - 5) (b) graph the inequality.
(a) $s\geq - 6$ (b) On the number - line, there is a closed circle at - 6 and the line is shaded to the right of - 6.
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which angle is vertical to ∠5? ∠1 ∠6 ∠2 ∠4
∠2
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what is this? a ray a line segment a line
a line segment
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question 19 arrange the following words so that they make a complete se…
true
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18 solve the inequality. (a) $n + 3>2$ (b) graph the inequality.
(a) $n > - 1$ (b) On the number - line, draw an open circle at $-1$ and shade the line to the right of $-1$.
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∠a and ∠b are complementary angles. find m∠a and m∠b. 25. m∠a = x°, m∠b…
25. \(m\angle A = 55^{\circ}\), \(m\angle B = 35^{\circ}\) 26. \(m\angle A = 50^{\circ}\), \(m\angle B = 40^{\circ}\) 27. \(m\angle A = 32.4^{\circ}\), \(m\angle B = 57.6^{\circ}\…
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22. two complementary angles form a linear pair. 23. the supplement of …
22. Never true 23. Always true 24. Sometimes true
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isosceles triangle abc is folded along bm with m chosen in such a way t…
1. AM and MC 2. BM and BM 3. AB and BC
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6. pre - image image p(-8, -4) p(-6, -3) q(-8, 4) q(-6, 3) r(8, 4) r(6,…
Scale factor: $0.75$ Rule: $(x,y)\to(\frac{3}{4}x,\frac{3}{4}y)$
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solve the inequality. 1. (x + 8>12) 2. graph the inequality.
1. $x>4$ 2. On the number - line, draw an open circle at $x = 4$ and shade the line to the right of $4$.
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build understanding construct parallel lines you can use the parallel p…
A. \(P\) must not lie on \(\overline{XY}\) to construct a parallel line through \(P\) as per the parallel postulate. B. \(\overline{XY}\) is parallel to \(\overline{PZ}\) because …
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in exercises 5 - 8, expand the binomial using pascals triangle to find …
$x^{3}+3x^{2}y + 3xy^{2}+y^{3}$
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m is the midpoint of ad. what single transformation is required to map …
Reflection
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17 solve the inequality. (a) (x + 8geq18) (b) graph the inequality.
(a) $x\geq10$ (b) On the number - line, place a closed circle at $10$ (because the inequality is $\geq$) and draw an arrow to the right.
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m is the midpoint of ad. what value of x will make triangles abm and dc…
C. 7
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in the diagram, bc ≅ ef and ∠a and ∠d are right angles. for the triangl…
8
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state the coordinates of the point.
(6, 2)
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triangle def and triangle dgf are shown in the diagram. to prove that δ…
C. \(\overline{DE}\cong\overline{DG}\)