Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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8.3 puzzle time what speaks every language? circle the letter of each c…
## Completed Sentences: 1. proportional 2. similar 3. parallel 4. nonvertical ## Non-Similar Triangles: 5. $\triangle JKL$ 6. $\triangle ABF$ ## Riddle Answer: **ANCHOR**
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what inequality does this number line show? write your answer starting …
\( x > 4 \)
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write a quadratic function for the area of the figure. then, find the a…
For the quadratic function: \( A(x)=\frac{1}{2}x^{2} \) For \( x = 4.2 \), the area is \( 8.82 \)
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the illustration below shows the graph of ( y ) as a function of ( x ).…
- This is the graph of a **quadratic** function. - The y-intercept of the graph is the function value $y = 1$. - The x-intercepts of the graph (in order from least to greatest) ar…
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statement about rotated figures if two sides are parallel in the origin…
To determine the correctness of each statement about rotated figures, we analyze the properties of rotation (a type of rigid transformation): 1. **"If two sides are parallel in th…
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give the coordinates after the rotation. original coordinates → final c…
s: (a) \( X(-6, 2) \to X'(2, 6) \) \( Y(-4, -2) \to Y'(-2, 4) \) \( Z(-1, 6) \to Z'(6, 1) \) (b) The general rule is \(\boldsymbol{(x, y) \to (y, -x)}\).
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practice a) $(x_1,y_1)=(0,1)$ $(x_2,y_2)=(2,5)$ $y - y_1 = m(x - x_1)$ …
El valor en el cuadro es \( 1 \), y la ecuación de la recta es \( y = 2x + 1 \).
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find the slope of the line that passes through (3, 9) and (6, 5). simpl…
$\frac{-4}{3}$
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find the slope of the line that passes through (1, 3) and (6, 9). simpl…
$\frac{6}{5}$
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m=2 point (-1,2) y - y₁ = m (x - x₁)
La ecuación de la recta es \( y = 2x + 4 \) (usando la forma punto - pendiente y simplificando)
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find the slope of the line that passes through (10, 1) and (1, 9). simp…
$-\frac{8}{9}$
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section 6.1 for questions 1 through 6, find the indicated m 1. find \\(…
\( AB = 10 \)
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find the surface area of the triangular prism. 8 cm 12 cm 10 cm 15 cm e…
$546$
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find the volume of the composite solid. 8 m 22 m 10 m 10 m 20 m enter t…
2960 $\text{m}^3$
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find the volume of the rectangular prism. 8.5 in. 6 in. 6.5 in. enter t…
331.5
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find the slope of the line that passes through (7, 2) and (10, 6). simp…
$\frac{4}{3}$
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find the volume of the cube. 8 cm 8 cm 8 cm enter the correct answer in…
512
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find the area of the regular pentagon. 12.4 ft 18 ft enter the correct …
558 $\text{ft}^2$
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find the area of the regular hexagon. 12 in. 10.4 in. enter the correct…
374.4
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find the area of the trapezoid. 12.3 cm 6.5 cm 6 cm 5 cm 4.8 cm enter t…
$42.75$
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t exc ik te t - a relation is a ser of ordered pairs ______. - the doma…
1. A Relation is a ser of ordered pairs $\boldsymbol{TEXT}$. 2. The DOMAIN is the set of all possible $\boldsymbol{X}$ for the relation. 3. The RANGE is the set of all possible $\…
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find the area of the parallelogram. 20.5 cm 30 cm 32 cm enter the corre…
$615$
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find the area of the trapezoid. enter the correct answer in the box. in²
165 $\text{in}^2$
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find the area of the parallelogram. 8.5 in. 7 in. 6 in. enter the corre…
$51$ in²
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if qt = 45 and pu = 56, what is rs? rs = \\square
\( 34 \)
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find the area of the shaded triangle. 8 m 5 m enter the correct answer …
10
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if $st = p - 1$, $ux = -6p + 58$, and $vw = -5p + 53$, what is the valu…
\(8\)
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vy is the midsegment of the trapezoid tuwx. if wx = 44 and tu = 94, wha…
\(69\)
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ux is the midsegment of the trapezoid vwyz. if yz = 11s, ux = s + 35, a…
\( 2 \)
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u and x are the midpoints of the legs, \\(\\overline{tv}\\) and \\(\\ov…
\( 54 \)
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find the area of the shaded triangle. enter the correct answer in the b…
$12$
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completing measure proofs given the diagram below and the following sta…
To complete the proof: 1. Given $\angle HOD \cong \angle ZUR$ and $\angle DOC \cong \angle RUW$, so $m\angle HOD = m\angle ZUR$ and $m\angle DOC = m\angle RUW$ (Definition of Cong…
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1. complete the venn diagram to describe the similarities (middle) and …
### Middle (Similarities): - Quadrilateral - Opposite sides parallel and equal - Opposite angles equal - Sum of interior angles \( 360^\circ \) ### Parallelogram (Left, Difference…
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find the area of the shaded triangle. enter the correct answer in the b…
14
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quadrilateral abcd is an isosceles trapezoid and ( mangle b = u + 79^ci…
\( u = \boxed{47} \)
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x and u are the midpoints of the legs, \\(\\overline{wy}\\) and \\(\\ov…
\( p = 82 \)
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true or false? every quadrilateral is a square. \t\t\t○ true \t\t\t\t\t…
False ### 2. For "Every square is a rectangle."
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given the diagram below and the following statements: - $\\angle hod \\…
To complete the proof: 1. The first blank (for $m\angle ZUR + m\angle RUJ = m\angle ZUJ$) is filled by the **Angle Addition Postulate**. 2. The second blank (for $m\angle DOC + m\…
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4. find the measure of the indicated angle in each rhombus. for the fir…
### Part 1: Rhombus \( LMJK \) (Top - Right) In a rhombus, opposite angles are equal, and adjacent angles are supplementary (\( \text{sum} = 180^\circ \)). Also, opposite angles a…
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true or false? every rhombus is a square. \t\t● true \t\t\t\t\t\t\t\t\t…
False ### 2. Every rectangle with four congruent sides is a square.
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quadrilateral wxyz is an isosceles trapezoid and ( mangle w = 5w - 66^c…
\(w = \boxed{42}\)
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if $uv = p - 21$, $wz = p$, and $xy = 2p - 31$, what is the value of $p…
\( \boxed{52} \)
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ru is the midsegment of the trapezoid pqst. if st = -x + 51, ru = 2x - …
\(29\)
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quadrilateral stuv is an isosceles trapezoid, su = 2y - 52, and tv = y …
\( 76 \)
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this image was created by using basic math concepts that include all of…
applying appropriate formulas to determine the volume of each shape.
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for each pair of figures below, choose how they are related. translatio…
1. Top pair: Translation 2. Second pair: Translation 3. Third pair: Reflection 4. Bottom pair: Translation
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a line passes through the points (-9, -5) and (1, -5). write its equati…
$y=-5$
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19. express the pattern in terms of the x given on the triangle. 20. de…
s: 19. In a 30-60-90 triangle, if \( x \) is the shorter leg (opposite \( 30^\circ \)): - Hypotenuse \( = 2x \), - Longer leg \( = x\sqrt{3} \). (Pattern: Sides are \( x \), \( x\…
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a line passes through the points (1, -4) and (9, -4). write its equatio…
$y=-4$
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21. use the given x on each triangle to express the pattern. 22. practi…
To solve for the unknown sides in these 45 - 45 - 90 triangles, we use the properties of 45 - 45 - 90 triangles: in a 45 - 45 - 90 triangle, the legs are equal, and the hypotenuse…
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the figure consists of 12 congruent equilateral triangles. the area of …
A. \( 12a \, \text{cm}^2 \) B. \( 2b \, \text{cm}^2 \) E. \( (6a + b) \, \text{cm}^2 \)
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what is the area of the composite figure? (6π + 4) cm² (6π + 16) cm² (1…
\(\boxed{(6\pi + 16) \text{ cm}^2}\) (Option B: \((6\pi + 16) \text{ cm}^2\))
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a circle is inscribed in a regular hexagon with side length 10 feet. wh…
\( (150\sqrt{3}-75\pi) \text{ ft}^2 \) (corresponding to the first option)
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9. a 35 foot wire is secured from the top of a flagpole to a stake in t…
The flagpole is approximately \( \boldsymbol{32.08} \) feet tall. ### Problem 10
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how can you determine the values of h and k from the graph shown? then …
D. The coordinates of the vertex are \((h,k)\), and the axis of symmetry is \( x = h \). From the graph, \( h = 3 \) and \( k = 1 \) (values depend on graph, but assuming standard…
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how can you determine the values of h and k from the graph shown? then …
To solve this, we use the vertex form of a parabola, \( f(x) = a(x - h)^2 + k \), where \((h, k)\) is the vertex. ### Step 1: Identify \( h \) and \( k \) from the vertex The vert…
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trazer la siguiente desigualdad en la recta numérica. x < -1
Para trazar \( x < -1 \) en la recta numérica: 1. Coloca un punto abierto en \(-1\) (indicando que \(-1\) no es parte de la solución). 2. Dibuja una línea que se extiende hacia la…
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a square is inscribed in an equilateral triangle that is inscribed in a…
area of the circle − area of the square − area of the triangle
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how can you determine the values of h and k from the graph shown? then …
A. The coordinates of the vertex are \((h,k)\). From the graph, \( h = 3 \) and \( k = -2 \). (Values may vary based on actual graph, but the correct option is A with vertex \((h,…
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what is the area of the shaded portion of the circle? (16π−32) in² (16π…
\((16\pi - 32)\text{ in}^2\)
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the figure shows two rectangles. which expression represents the area o…
\(34x^{2}\) (corresponding to the option with \(34x^{2}\))
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what is the area of the composite figure?\\(\\boldsymbol{(6\\pi + 10)}\…
\( (6\pi + 10) \, \text{m}^2 \) (the first option)
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how can you decompose the composite figure to determine its area? as a …
C. as a square and four semicircles
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what is the area of the composite figure? 70 cm² 100 cm² 105 cm² 130 cm²
\(100\space\text{cm}^2\) (corresponding to the option \(100\space\text{cm}^2\))
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the graph shows quadrilaterals ghij and uvwx. is ghij congruent to uvwx…
No, because \(\overline{IJ}\) and \(\overline{WX}\) do not have the same length.
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what is the area of the shaded region? 6 mm 4 mm 3 mm 2 mm 5 mm 21 mm² …
24 mm²
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finding composite area the window shown is the shape of a semicircle wi…
11
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an equilateral triangle with side lengths equal to $12\\sqrt{3}$ units …
The apothem is \(\boldsymbol{6}\) units long and the radius of the circle is \(\boldsymbol{12}\) units long. Each segment of the circle has an area equal to \((\boldsymbol{48}\pi-…
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solve the compound inequality. $5<2x + 5<11$ graph the solution on the …
The solution to the inequality is $0 < x < 3$. For the graph: mark open circles at 0 and 3 on the provided number line, and shade the segment connecting these two points.
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calculating the area of an office a new business requires an office spa…
The radius of the semicircle is \(\boldsymbol{100}\) meters. The area of the office is \(\boldsymbol{115700}\) square meters (or \(100000 + 5000\pi\) square meters), which is more…
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graph each quadrilateral with the given vertices. determine whether the…
The quadrilateral PQRS is not a rectangle. Opposite sides are parallel (equal slopes), but adjacent sides are not perpendicular (their slopes do not multiply to -1). --- ### For P…
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an equilateral triangle is shown inside a square inside a regular penta…
Shaded area = area of the regular hexagon − area of the regular pentagon + area of the square − area of the equilateral triangle
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justify your answer using the indicated formula. 23. p(-3, -2), q(-4, 2…
### Problem 23: Since $m_{PQ}=m_{RS}$ and $m_{QR}=m_{SP}$, opposite sides are parallel, so $PQRS$ is a parallelogram. ### Problem 24: Since $d_{JK}=d_{LM}$ and $d_{KL}=d_{MJ}$, op…
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what is the area of the composite figure? □ units²
34
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comparing the areas of two composite figures isla says the areas of the…
A. Isla is correct because each figure subtracts an equal area from the area of the square.
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10 in. 6 in. for a class project, a teacher cuts out 15 congruent circl…
\( (60 - 15\pi) \) square inches
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the area of one of the small right triangles outlined in blue is a cm²,…
The correct options are: - \( 4A + B \) - \( 1.5B \) - \( 12A \)
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how can you decompose the composite figure to determine its area? as tw…
A. as two semicircles and a rectangle
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which two triangles are congruent by the asa theorem? complete the cong…
\( \triangle VUW \cong \triangle SQR \)
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a 15-foot ladder leans against a wall so that the ladder’s angle of ele…
x = 10.94 ft
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exit ticket if you place a 32 - foot ladder against the top of a 23 - f…
22.2 feet
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find the sine, cosine, and tangent of $\\angle t$. simplify your answer…
\( \sin(T) = \frac{15}{17} \) \( \cos(T) = \frac{8}{17} \) \( \tan(T) = \frac{15}{8} \)
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find the sine, cosine, and tangent of ∠g. simplify your answers and wri…
\( \sin(G) = \frac{4}{5} \) \( \cos(G) = \frac{3}{5} \) \( \tan(G) = \frac{4}{3} \)
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find the sine of $\\angle v$. simplify your answer and write it as a pr…
\(\frac{80}{89}\)
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simplify your answer and write it as a proper fraction, improper fracti…
\(\frac{33}{65}\)
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find the sine of ∠k. simplify your answer and write it as a proper frac…
$\frac{72}{97}$
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find the sine of ∠k. simplify your answer and write it as a proper frac…
# Explanation: ## Step1: Recall sine definition In a right triangle, $\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$. First, find the hypotenuse $JK$ using Pythagorean …
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points (2, -1), (-2,7), (1, -2), (0, -1), and (4,7) lie on the graph of…
\((0, -1)\)
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using similar polygons the polygons in each pair are similar. find the …
\( y = 30 \)
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find the slope of the line through the two points: (9, -4) and (2, -1)
\(-\frac{3}{7}\)
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find the value of the variable that results in congruent triangles. 15.…
For problem 15: $x = -8$ For problem 16: $x = 18$
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11. julio claims that you can find the area of a rectangle using the fo…
Julio is correct. By using the formula for the area of a rectangle (product of length and width) and the difference of squares polynomial identity \((a + b)(a - b)=a^2 - b^2\) (wi…
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instructions use the graph below to answer the questions to the right. …
(2,4)
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a terrarium is built in the shape of a triangular prism. the prism is 1…
45 square inches
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charles begins finding the volume of a trapezoidal prism using the form…
$2x^3 + 6x^2$
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the volume of a right octagonal prism is 30 cubic feet. the area of the…
3.75
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figure jklm is dilated by a scale factor of \\(\\frac{1}{2}\\) to form …
the dilated image
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△rst is dilated by a scale factor of 2 to form its image, △rst. (i) whe…
the dilated image
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what is the slope of the line given by the following equation: $x = 3$ …
1. undefined 2. $y - 5 = 4(x + 3)$
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enter the coordinates for the points that are reflected across the line…
| x | y | |----|----| | -1 | -4 | | -1 | -2 | | 2 | -4 |