Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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triangle abc has vertices a(4, 5), b(0, 5), and c(3, -1). the triangle …
\((-3, 6)\)
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translating a figure triangle abc has vertices a(4, 5), b(0, 5), and c(…
\((-3, 6)\) (corresponding to the option \((-3, 6)\))
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triangle abc is translated 6 units to the right and 1 units up. what ar…
A. \(C'(4, - 2)\)
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which are true statements about a translation? select all that apply. □…
- The image is congruent to the pre - image. - The image could be moved left or right. - The image could be moved up or down.
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practice identifying translations on a plane. the translation shown in …
The translation shown is a horizontal translation (or a translation of 6 units to the right, but since the question says "what kind of", likely horizontal translation as it moves …
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finding the translation rule triangle def has coordinates d(-3, -2), e(…
\( (x,y) ightarrow(x + 4,y - 2) \) (the fourth option, i.e., the option with \( (x,y) ightarrow(x + 4,y - 2) \))
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question 9 assume the two trapezoids are similar. what is the value of …
x = 5.5? Correction: Correct pair: lower trapezoid's bottom side (unknown, but upper trapezoid's bottom is 20, lower trapezoid's vertical side 24 corresponds to upper's 25, so sca…
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question 8 2 points find the measure of angle m based on the shape belo…
96° (Option C: 96°)
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identify the rule for the transformation shown in the figure that trans…
\( (x, y) \to (x + 4, y + 2) \) (the last option)
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find the number of sides of the regular polygon where the sum of the in…
1. 16-gon 2. A 40-gon 3. 64° and 96°
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for what value of x will make the two triangles similar? image of two t…
x = 10.2 --- ### Second Problem (Quadrilateral Angles)
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solve for x given the following similar triangles. image of two similar…
x = 8
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question 1 are the following triangles similar? image of two triangles …
No, they are not similar
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question 5 1 point gabe said that the interior angles of any pentagon a…
Gabe is incorrect because only regular pentagons would have this property, not any pentagon.
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question 2 1 point which method would not result in the correct answer …
Cross-multiplying $\frac{108.5}{31} = \frac{x}{42}$ would not result in the correct answer. The first ratio has the taller tree's height over its shadow length, but the second rat…
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307 < 11b + 32 < 318 progress: 1/3 part 2 of 3 (b) the solution set for…
The solution to the compound inequality \( 307 < 11b + 32 < 318 \) is \( 25 < b < 26 \). On the number line, this would be represented by an open circle at 25 and an open circle a…
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translations- a transformation in which each point of a figure moves th…
### Part 1: Filling in the Blanks about Translations #### Explanation for Translations Definition: A translation is a transformation where each point of a figure moves the same **…
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which angles are complementary to ∠1? select all that apply. ∠4 ∠5 ∠6 ∠2
$\angle 4$, $\angle 6$
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which angles are adjacent to ∠7? select all that apply. ∠6 ∠8 ∠3 ∠5
A. $\angle 6$ B. $\angle 8$ D. $\angle 5$
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which angles are adjacent to each other? ∠2 and ∠5 ∠1 and ∠3 ∠4 and ∠2 …
$\angle1$ and $\angle2$
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write the coordinates of the vertices after a translation 8 units left …
\( P'(-6, -11) \) \( Q'(-2, -11) \) \( R'(-10, -4) \)
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write the coordinates of the vertices after a translation 3 units right…
\( E'(-2,-8) \), \( F'(-2,-3) \), \( G'(4,-3) \), \( H'(4,-8) \)
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question 10 △ abc ~△ qrs c = 37.8; s = 14.8; q = 9; b = 19 what is r? h…
\(7.44\)
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question 1 2 pts image of a right triangle with legs a, b and hypotenus…
38.08
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lake quiz exit = ge question 9 2 pts △abc ~△qrs c = 21.7; s = 11.3; q =…
\( 11.52 \)
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question 7 (multiple choice worth 5 points) (07.02 mc) which of the fol…
B. Construct two angle bisectors of the triangle
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question 6 (multiple choice worth 5 points) (07.03 mc) the figure below…
125.6 feet (the option with 125.6 feet)
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the triangle ace, is a dilation image of triangle abd. point a is the c…
1. The dilation is an enlargement. 2. The scale factor of the dilation is $\frac{4}{3}$
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question 6 (multiple choice worth 5 points) (07.03 mc) the figure below…
125.6 feet (the option with 125.6 feet)
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question 3(multiple choice worth 5 points) (07.01 mc) zubin drew a circ…
\( 65^\circ \) (the option with \( 65^\circ \))
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two parallel lines are cut by a transversal as shown below. suppose ( m…
\( m\angle6 = \boldsymbol{81^\circ} \), \( m\angle8 = \boldsymbol{81^\circ} \)
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the blue figure is a dilation image of the black figure. the labeled po…
- Dilation type: Reduction - Scale factor: $\frac{1}{3}$
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give one pair of supplementary angles and one pair of vertical angles s…
(a) Supplementary angles: \(\angle1\) and \(\angle2\) (or any linear pair, e.g., \(\angle3\) and \(\angle4\), etc.) (b) Vertical angles: \(\angle2\) and \(\angle6\) (or \(\angle1\…
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question 7 (multiple choice worth 5 points) (07.02 mc) which of the fol…
B. Construct two angle bisectors of the triangle
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error analysis for the dilation with center (0,0) shown on the graph, y…
The correct scale factor is $\frac{3}{10}$. C. Your friend found the scale factor that enlarges $\Delta A'B'C'$ to $\Delta ABC$.
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in the figure below, $m\\angle 1 = 71^{\\circ}$. find $m\\angle 2$, $m\…
\( m\angle2 = \boldsymbol{109}^\circ \) \( m\angle3 = \boldsymbol{71}^\circ \) \( m\angle4 = \boldsymbol{109}^\circ \)
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in the figure below, m ∠ 2 = 129°. find m ∠ 1, m ∠ 3, and m ∠ 4. m ∠ 1 …
\( m\angle1 = \boldsymbol{51}^\circ \) \( m\angle3 = \boldsymbol{51}^\circ \) \( m\angle4 = \boldsymbol{129}^\circ \)
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find the value of x. (there is a triangle and a straight line forming a…
\(x = 52\)
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find the value of x. triangle with 35° angle at top, x° angle at bottom…
\(x = 85\)
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find the value of x.
\(131^\circ\)
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find the value of x. triangle with angles 38°, 76°, and x°
$66$
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2 tries left. please try again. select the angle(s) with measures that …
C) $\angle 4$, D) $\angle 7$, F) $\angle 1$
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what is the measure of angle qpr in the given figure? (figure with a ci…
A. 32°
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select the correct answer. points a, b, and c are located on a circle, …
C. 176°
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select the correct answer from each drop - down menu. three students ar…
The student with the correct approach is Jordan; The diameter of the circle is 75 units.
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select the correct answer from each drop-down menu. three students are …
Jordan; 63
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select the correct answer (overleftrightarrow{dg}) and (overleftrightar…
B. 140°
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write the coordinates of the vertices after a translation 8 units left …
\( P'(-6, -11) \) \( Q'(-2, -11) \) \( R'(-10, -4) \)
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find k. right triangle with angles 30°, 60°, right angle; side adjacent…
\(6\)
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the net of a rectangular prism is shown below. what is the lateral surf…
C. \( 38\space in^{2} \)
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a composite figure consists of two rectangles and a triangle. what is t…
# Explanation: ## Step1: Analyze the composite figure The composite figure can be divided into three parts: two rectangles and one triangle. Let's identify the dimensions of each …
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m n 24 127 29 p claim i: mp > mn claim ii: np < mn whose claim is true?…
c) Both claims are true.
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the composite figure shown consists of two identical triangles enclosed…
B. 150 square units
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find w. triangle with angles 60°, 30°, right angle, side 11 ft, side w …
22 feet
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find u. right triangle with right angle, one leg 16 m, angles 60° and 3…
$16\sqrt{3}$ meters
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find d. right triangle with right angle, 30° angle, 60° angle, hypotenu…
$20\sqrt{6}$ inches
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find t. right triangle with right angle, one leg 17√3 m, angles 30° and…
34 meters
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find y. image of a right triangle with a right angle, one angle 60°, on…
$6\sqrt{6}$ kilometers
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find c. triangle with 30°, 60°, right angle, side 19√6 ft, side c write…
$38\sqrt{2}$ feet
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find g. right triangle with right angle, one leg labeled (2sqrt{2}) yd,…
$4\sqrt{2}$ yards
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find t. triangle image with 30°, 60°, right angle, side 12√2 km, and t …
$4\sqrt{6}$ kilometers
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find w. triangle with 30°, 60°, right angle, 39 mi side write your answ…
$39\sqrt{3}$ miles
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find z. triangle with angles 45°, 45°, 90°, hypotenuse 2 yd, leg z writ…
$\sqrt{2}$ yards
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find t. right triangle with right angle, 60° angle, 30° angle, hypotenu…
3 feet
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find y. triangle with 45°, 45°, right angle, one leg 7√3 mm, hypotenuse…
$7\sqrt{6}$ millimeters
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find g. right triangle with right angle at bottom left, 60° at top, 30°…
$2\sqrt{3}$ meters
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find c. right triangle with angles 30°, 60°, 90°, one leg 2 mi, hypoten…
$2\sqrt{3}$
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find t. right triangle with right angle, one leg 7√6 in, angle 30° at t…
$14\sqrt{2}$ inches
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find j. right triangle with a 60° angle, a 30° angle, right angle, hypo…
$2\sqrt{6}$ miles
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find d. triangle with right angle, 60° angle, 30° angle, one leg 4 mi, …
$8$ miles
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find z. image of a right triangle with a 30° angle, a 60° angle, one le…
3 miles
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find k. triangle with a right angle, two 45° angles, one leg 3 mm, the …
$3\sqrt{2}$ millimeters
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unit 2.0 examples: 1. 2. 3. 4. 5. (handwritten 3×3) 6. 7. 8. 9. 10. cir…
To solve these problems, we analyze the examples to find the pattern: ### Example 1 (Left): - Inner circle: \( 6 \) (top), \( 4 \) (bottom) - Outer circle: \( 36 = 6^2 \) (top), \…
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handwritten step-by-step work legibly and circle your answer. need to s…
$\det = -24$ Since the determinant is not equal to 0, the system of linear equations associated with this matrix has a unique solution.
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read 7.1 bisectors of triangles (textbook pgs. 406-410) perpendicular b…
\( 7.5 \) ### Problem 2: Find \( BF \)
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lp 6 day 9 task 18 reason quantitatively a wall panel needs to be cut t…
\( m\angle AFD = 120^\circ \), \( m\angle FDC = 60^\circ \)
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angles of a triangle (textbook pgs. 335 - 338) 6.1 the acute angles of …
\( 53^\circ \) ### Problem 2:
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find the measure of each numbered angle. 1. 2. find each measure. 3. ( …
The measure of the numbered angle (let's assume it's the top angle) is \(70^\circ\) ### Problem 3: \(m\angle1\)
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read 6.1 angles of a triangle (textbook pgs. 335-338) exterior angle th…
\( m\angle 1 = 115^\circ \) ### Exercise 2: Find \( m\angle 1 \) and \( m\angle 2 \) #### For \( m\angle 1 \):
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parallelograms in the diagram above two parallel lines intersected two …
### Part 1: Pairs of Parallel Lines From the diagram (a parallelogram formed by intersecting parallel lines), we identify the parallel line pairs: - Line \( AB \) is parallel to l…
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part 1: 1. find the sum of the measures of the interior angles of a con…
\( 12240^{\circ} \) #### 2.
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find each measure. 1. ( mangle d ) 2. ( mangle l ) for trapezoid ( hjkl…
\( 55^\circ \) ### Problem 2: \( m\angle L \) (Kite \(JKLM\))
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quadrilateral abcd is a rhombus. find each value or measure. 1. if ( ma…
\(60^\circ\) ### Problem 2
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algebra quadrilateral rstu is a rectangle. 1. if uz = x + 21 and zs = 3…
\(US = 78\) ### Problem 2
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example find x and y so that fghj is a parallelogram. fghj is a paralle…
\( x = 7 \), \( y = 4 \) ### Problem 2
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exercises find the value of each variable. 1. since diagonals bisect ea…
\( x = 4 \), \( y = 2 \) ### Problem 2
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what will be the width of the rectangle? length — 7 meter. width $x^2 -…
The width of the rectangle is \( x - 8 \) meters.
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the area of the rectangle below is $x^2 + 13x + 36$ square meters and l…
The width of the rectangle is \( x + 4 \) meters.
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the area of the rectangle below is $x^2 + 8x + 15$ square meters. one s…
The length of the rectangle can be determined from the expression \( \frac{x^{2}+8x + 15}{x + 3} \) (which simplifies to \( x + 5 \) meters).
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the area of the rectangle below is $x^2 - 11x + 30$ square length $x - …
The width of the rectangle is \( x - 6 \) meters.
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5. (a) (b) the perimeter of a sector of another circle is 14.8 cm. the …
The area of the sector is \( 13.6 \) square centimeters.
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find xy. triangle with right angle at x, angle at w is 58 degrees, side…
\( 7.7 \)
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find uv. triangle with right angle at w, angle at u is 50 degrees, side…
\( 6.1 \)
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find ef. triangle with right angle at f, angle at e is 25 degrees, hypo…
\( 7.1 \)
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find qr. write your answer as an integer or as a decimal rounded to the…
\( 7.0 \)
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find gi. triangle image with right angle at i, angle at h is 64 degrees…
\( 9.0 \)
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find de. write your answer as an integer or as a decimal rounded to the…
\( 4.3 \)
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find pr. right triangle pqr with right angle at r, angle at p is 22 deg…
\( 7.4 \)
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find ij. triangle with right angle at h, ih = 4.8, angle at j is 50 deg…
\( IJ \approx \boxed{6.3} \)
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find uv. triangle image with right angle at u, side wu labeled √51, ang…
\( 3.2 \)