幾何
三角形、円、座標幾何、証明問題。
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now, find the exact value of c. if the value of c is an irrational numb…
\(\sqrt{89}\)
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use the given information to prove that △def ≅ △fgd given: \\overline{d…
1. \(FG\) 2. Given 3. \(DF\) 4. SSS Congruence Theorem
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name: period 1,2,6 october 21 - 22, 2025 geometry cwb: 2 - 1 parallel l…
Corresponding Angles: $\angle1$ y $\angle5$, $\angle2$ y $\angle6$, $\angle3$ y $\angle7$, $\angle4$ y $\angle8$ Alternate Interior Angles: $\angle3$ y $\angle6$, $\angle4$ y $\an…
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what does ( c = sqrt{65} ) mean in this problem? ( a = 7 ) ( a^{2}+b^{2…
The hypotenuse.
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you just found that c is \\( \\sqrt{65} \\). is \\( \\sqrt{65} \\) equa…
No, \(\sqrt{65}\) is not equal to a whole number.
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now, add 49 + 16 on the left side of the equation to find the value of …
$$65$$
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jazlyn wants to purchase a triangular trampoline. what is the formula f…
\(A=\frac{1}{2}bh\)
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next, substitute the value of b in the pythagorean theorem equation. th…
\(4\)
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find the value of c. use the pythagorean theorem to help you.start by s…
\(c = 3\sqrt{5}\approx6.71\)
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now, add 36 + 9 on the left side of the equation to find the value of $…
$$45$$
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answer the questions below. write your answers in simplest form. (a) a …
(a) \( 5\,\text{cm} \) (b) \( 8\,\text{m} \)
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answer the questions below. write your answers in simplest form. (a) a …
(a) \( 19 \, \text{cm} \) (b) \( 6 \, \text{m} \)
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what number can you multiply each length in the scale drawing by to fin…
\(72\) \(ft^{2}\)
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now use the equation to solve for the value of c. start by rewriting ea…
\(36\)
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next, substitute the value of b in the pythagorean theorem equation. th…
\(6^{2}+3^{2}=c^{2}\)
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what number can you multiply each length in the scale drawing by to fin…
Actual length \(= 12\) ft, Actual width \(= 6\) ft
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start by substituting the value of a in the pythagorean theorem equatio…
\(6\)
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given: \\( \\overline { w x } \\cong \\overline { z y }, \\overline { w…
A. Given: \( \overline{WX}\cong\overline{ZY}\) and \( \overline{WY}\cong\overline{ZX}\). \( \overline{XY}\cong\overline{XY}\) ; Reflexive Property of Congruence. \( \triangle WXY\…
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jazlyn owns an indoor trampoline park. the scale drawing shows a new tr…
\(3\)
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does ( a^{2}+b^{2}=c^{2} ) hold true for this right triangle? ( a = 7 )…
Yes, \(a^{2}+b^{2}=c^{2}\) is true for this right triangle.
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a relationship between the squares of the side lengths of the right tri…
74
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keep going with side b. b is 5. what is $b^{2}$? in other words, what i…
\(25\)
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look for a relationship between the squares of the side lengths of the …
\(49\)
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7. what is the measure of each interior angle of a regular pentagon? 8.…
7. \(108^{\circ}\) 8. \(x = 55\)
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for the right triangle below, which side is the hypotenuse? side a side…
Side \(c\)
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choya has a map that shows the lengths of some hiking trails. the scale…
The number is \(0.5\) and the actual length of the picnic area trail is \(4.5\ km\)
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chaya has a map that shows the lengths of some hiking trails. the scale…
The number to multiply is \(0.5\). The actual length of the waterfall trail is \(3\ km\).
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chaya has a map that shows the lengths of some hiking trails. the scale…
\(0.5\)
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2. of 350 solitaire games that jay played, he won 154 times. what perce…
$\frac{154}{350}=\frac{n}{100}$, $n = 44$, Jay won $44\%$ of the solitaire games he played.
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graph the compound inequality on the number line. x≥0 or x≤−5
On the number line, there is a closed - circle at \(x = 0\) with an arrow to the right and a closed - circle at \(x=-5\) with an arrow to the left.
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represents an actual distance of 2 miles. oscars tent is at campsite 4a…
\(1.25\)
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type the correct answer in the box. what trigonometric expression can b…
\(\frac{12}{\tan(25^{\circ})}\)
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what number can you multiply each length in the scale drawing by to fin…
For the first question, the number is \(5\). For the second question, the actual length of the east side of the motel is \(10\) yd.
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coach hernández made a scale drawing of the school gym. the scale of th…
\(90\)
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coach hernández made a scale drawing of the school gym. the scale of th…
\(10\)
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solve the compound inequality. 3x + 5 ≥ -1 or 2x + 3 > 13 graph the sol…
The solution of the compound inequality \(3x + 5\geq - 1\) or \(2x + 3>13\) is \(x\geq - 2\). On the number - line, place a closed circle at \(-2\) and shade to the right.
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in the figure, ( mangle1=(4x + 8)^{circ},mangle2=(2x + 18)^{circ} ), an…
\(152\)
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in the figure, ( mangle1=(5x + 11)^{circ}, mangle2=(2x + 16)^{circ} ), …
\(146\)
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solve the compound inequality. 4x - 4 ≥ -8 and 2x - 3 < 3 graph the sol…
The solution of the compound inequality is \(-1\leq x\lt3\). On the number - line, we draw a closed circle at \(x = - 1\) (because \(x=-1\) is included in the solution set, due to…
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what are the two remote interior angles for ∠4? choose the correct answ…
∠1 and ∠3
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what are the two remote interior angles for \\( \\angle d \\)? choose t…
∠B and ∠C (the option “∠B and ∠C” is the correct one)
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if the coefficient ( a ) in the general quadratic equation is equal to …
\(\frac{1}{48}\) (the option \(\frac{1}{48}\))
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circle whether the statement is true or false 8) true/false a \teaser r…
8. True 9. True 10. True 11. True 12. True
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estimation a ramp is being built to a building to help with deliveries.…
C. \(60^{\circ}\) (estimate), \(55.5^{\circ}\) (exact)
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find the length of the third side. if necessary, round to the nearest t…
\(10.8\)
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select the correct answer. what is the value of x? a. 10.6 b. 7.5 c. 21…
A. 10.6
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what line was the pre - image reflected over? the y - axis. the x - axi…
The y - axis.
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find the length of the third side. if necessary, round to the nearest t…
\(2.8\)
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reflection point c over the y - axis
\((-3,2)\)
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writing for the figure shown, find m∠1. use pencil and paper. explain t…
\(117\)
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when reflecting over the x - axis... keep the y - value the same, and m…
Blue option: Change the sign of the \(y\) - values.
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writing for the figure shown, find m∠1. use pencil and paper. explain t…
\(123\)
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select the correct answer. rounded to the nearest tenth, what is the ar…
C. 35.1 square feet
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in the figure, ( mangle1=(7x + 8)^{circ}), ( mangle2=(4x + 12)^{circ}),…
\(119\)
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select the correct answer. what is the height, x, of the equilateral tr…
A. \(7\sqrt{3}\) inches
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find the length of the third side. if necessary, round to the nearest t…
\(7.5\)
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when reflecting over the y - axis... change the sign of the x - values.…
Change the sign of the \(x\) - values. Keep the \(y\) - value the same, and maintain the same number of units away from the line for the \(x\) - value.
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in the figure, ( mangle1=(7x + 8)^{circ} ), ( mangle2=(5x + 11)^{circ} …
\(127\) The friend's mistake might be that they set up an incorrect equation (not using the exterior angle theorem correctly, for example, maybe they thought \(m\angle4\) was equa…
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the point a(-2,-4) reflected across the x-axis.
\(A'(-2,4)\) (the green - colored option)
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select the correct answer. what is the value of x in the triangle? a. 1…
B. \(7.5\)
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what axis is the triangle being reflected over?
y - axis
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riley leans a 16 - foot ladder against a wall so that it forms an angle…
\(4.41\) feet
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what would be the coordinates of point k if it was reflected over the y…
\((5,2)\)
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given a fixed point and a fixed line, a parabola consists of all points…
True
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the point ( a(-2,0) ) reflected across the ( y )-axis.
The reflected point \(A'\) is \((2,0)\). But since \((2,0)\) is not among the given options, there might be a mistake in the problem setup (if we assume the options are from a mis…
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consider triangle efg. what is the approximate measure of angle g? a. 4…
B. \(55.8^{\circ}\)
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for each pair of figures below, choose how they are related.
First pair: None of these; Second pair: Reflection; Third pair: Translation; Fourth pair: Translation
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(a) name the sides of \\( \\angle g f e \\). and (b) write two other na…
(a) \(\overrightarrow{FG}\) and \(\overrightarrow{FE}\) (b) \(\angle EFH\) and \(\angle HFE\) (c) \(F\)
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think about the process in △abc, m∠b is 4 times m∠a and m∠c is 2° less …
D. \(m\angle A + m\angle B + m\angle C = 180^{\circ}\)
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think about the process in \\( \\triangle a b c, m \\angle b \\) is 4 t…
D. \(m\angle A + m\angle B + m\angle C = 180^{\circ}\)
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for the figure shown, find ( mangle1 ) and ( mangle2 ). ( mangle1=squar…
\(47\)
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monday nights homework problems 1 - 4: a copy machine can make 500 copi…
1. 125 2. 0.008 3. 1250 4. 5.6 5. 12.5 6. 0.08 7. No 8. 15 9. 45
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for the figure shown, find ( mangle 1 ) and ( mangle 2 ). ( mangle 1=sq…
\( m\angle1 = 53^{\circ} \), \( m\angle2 = 111^{\circ} \)
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medians and altitudes 1. match the indicated part of each triangle to t…
1. - Point \(P\): orthocenter - \(\overline{AB}\) (second triangle): median - Point \(D\): centroid - \(\overline{AB}\) (fourth triangle): altitude 2. Jacy likely confused the ort…
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medians and altitudes 1. select all the statements that are true for △a…
A. \(\overline{AH}\) is an altitude; C. \(\overline{JC}\) is a median ### 2.
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consider the figure below determine if the statements in the table belo…
1. False 2. True 3. False
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in the graph below, triangle abc is similar to triangle dec which state…
A. slope of \(\overline{EC}=\) slope of \(\overline{CB}\); D. \(\frac{CD}{DE}=\frac{CA}{AB}\)
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what does a slope of $\frac{1}{12}$ indicate about a ramp? a. nearly ve…
C. Gentle incline
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find the surface area of the square pyramid. finally, combine the areas…
\(380\)
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lesson 6 | session 2 name practice describing congruent angle relations…
\(x = 10\)
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given: hijk is a rect - angle; hikl is a parallelogram. prove: \\( \\tr…
Statement 5: \(\overline{HJ}\cong\overline{HL}\); Statement 6: \(\triangle HJL\) is isosceles; Reason 6: Definition of isosceles triangle (a triangle with two congruent sides is i…
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select all the inequalities that relate the sides of the figure shown. …
A. \(b > a\), C. \(b < c\), D. \(a < b < c\)
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find the surface area of the square pyramid. next, find the area of the…
\( 100\space cm^2 \)
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consider the lines shown below. which statements are correct? select al…
A. If both lines are translated 6 units down, they will be parallel to each other; B. If both lines are reflected across the y - axis, they will be parallel to each other; D. If b…
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find the surface area of the square pyramid. now, find the area of the …
\(280\)
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given: hijk is a rectangle; hikl is a parallelogram. prove: \\( \\trian…
2. Diagonals of a rectangle are congruent; 4. \(\overline{IK}\cong\overline{HL}\) (opposite sides of a parallelogram are congruent)
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find the surface area of the square pyramid. start by finding the area …
\(70\)
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on the coordinate plane below, square abcd is dilated by a factor of 2,…
C. \((4,-6)\)
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medians and altitudes 1. match the indicated part of each triangle to t…
1. \(CF=\frac{2}{3}CJ\): Concurrency of Medians Theorem 2. \(30=\frac{2}{3}\times CJ\): Substitute 3. \(\frac{3}{2}\times30 = CJ\): Solve for \(CJ\) 4. \(45 = CJ\): Simplify
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problem 23 given: hijk is a rectangle; hikl is a parallelogram. prove: …
The reason for statement 2 is "Diagonals of a rectangle are congruent". The statement 4 is "\(\overline{IK}\cong\overline{HL}\)" and the reason for statement 4 is "Opposite sides …
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find the surface area of the triangular pyramid. now find the total are…
\(72\mathrm{cm}^2\)
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find the surface area of the triangular pyramid. first, find the area o…
\(18\)
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determine whether ( \triangle abc cong \triangle klm ). ( a(-3,3), b(-1…
A. \(AB = 2\), \(KL = 2\), \(BC = 2\sqrt{2}\), \(LM = 2\sqrt{2}\), \(AC = 2\), \(KM = 2\)
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find the surface area of the cube. now, find the total area. area of on…
\(864\space cm^{2}\)
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find the surface area of the cube. first, find the area of one square s…
\(144\)
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4. which point is the center of a circle that contains r, s, and t? a l…
4. C. \(N\) 5. D. The intersections of angle bisectors are equidistant from the sides of the triangle.
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problem 24 given: rectangle qprs, \\( \\overline { q u } \\cong \\overl…
9. \( \angle P=\angle R = 90^{\circ}, PQ = RS,\angle PQV=\angle RST\) (using rectangle properties and angle - subtraction from right angles due to \( \overline{QU}\cong\overline{S…
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name 5 - 2 lesson quiz envision geometry savvasrealize.com bisectors in…
1. B. \(\overline{PL}\cong\overline{PM}\cong\overline{PN}\), E. \(\overline{KP}\), \(\overline{HP}\), and \(\overline{JP}\) are angle bisectors of the triangle 2. D. 22 5. D. The …
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problem 24 given: rectangle qprs, \\( \\overline { q u } \\cong \\overl…
6. \(\triangle PVQ\cong\triangle RTS\) 7. \(\overline{PV}\cong\overline{RT}\) 8. All angles of a rectangle are right angles (so \(\angle P\) and \(\angle R\) are right angles and …
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find the surface area of the rectangular prism. next, find the area of …
\(72\)