Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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which angles are adjacent to each other? select all that apply. ∠2 and …
∠2 and ∠5, ∠6 and ∠1
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9. what is the ordered pair for point d? (\\square, \\square)
(2, - 3)
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question what is the image point of $(-6, 1)$ after the transformation …
\((24,-4)\)
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find q. write your answer as a whole number or a decimal. do not round.…
\( q = 16\) yards
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in the diagram below, $\\triangle mnj \\cong \\triangle knl$. find $n$.…
\(40.8\)
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find g. write your answer as a whole number or a decimal. do not round.…
\( 16 \)
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question what is the image of the point $(-7, 5)$ after a rotation of $…
\((7,-5)\)
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kenji is baking a loaf of bread and 6 bagels. he has 21 teaspoons of se…
The graph representing $x \leq 2$ (closed circle at 2, shading left)
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what is the volume of this sphere? round your answer to the nearest hun…
113.10 cubic meters
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which terms describe this shape? choose all that apply. quadrilateral r…
quadrilateral, isosceles trapezoid
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are these triangles similar? i j k g h yes no
yes
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find the approximate area of the shaded region below, consisting of a r…
1,254 square meters
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segment \\(\\overline{bd}\\) bisects \\(\\angle abc\\). solve for \\(x\…
\(x = 12\)
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a cylindrical cardboard tube with a diameter of 8 centimeters and a hei…
\(1,005\mathrm{cm}^{3}\)
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find the measure of each numbered angle. m∠1 =, m∠2 =, m∠3 =, m∠4 =
m∠1=20, m∠2=35, m∠3=35, m∠4=55 (Note: The original image's diagram details might have slight ambiguities, but based on standard angle calculations for such figures, these are the …
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4.1 reflections · spiral review graph the image of each figure under th…
To solve each reflection problem: 1. **\(\triangle ABC\) over \( y = x \)**: - Find vertices: \( A(-3, 2) \), \( B(0, 1) \), \( C(-2, -3) \) (approx from graph). - Reflect: \( A'(…
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use the given information to prove that $\\triangle rst \\cong \\triang…
$\triangle RST \cong \triangle TUR$ is proven using the ASA Congruence Postulate (after showing alternate interior angles congruent and the common side congruent).
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these figures are congruent. what is m∠k?
\( 80 \)
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use the law of sines to find the indicated side length in this triangle…
\(30.59\)
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triangle nop is formed by connecting the midpoints of the side of trian…
\(44\)
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the figures below are similar. the labeled sides are corresponding. 4 i…
\(1:4\)
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solve for x. round to the nearest tenth, if necessary. triangle with ri…
\( 30.4 \)
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which rule explains why these triangles are similar? triangles fhg and …
none of the above; the triangles cannot be proven similar
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use vertices and asymptotes to graph the hyperbola. locate the foci and…
B. [Graph B], Foci: $(0,\sqrt{53}), (0,-\sqrt{53})$, Asymptotes: $y=\frac{2}{7}x, y=-\frac{2}{7}x$
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these figures are congruent. what is m∠m? \\boxed{}°
103
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question: in the coordinate plane, points a, b, and c have coordinates …
1. The shape is a right - triangle. 2. The area is \(\frac{9}{2}\) square units. 3. The coordinates of \(D\) are \((1,-1)\)
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what is the volume of this sphere? round your answer to the nearest hun…
113.10
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consider the diagram. the congruence theorem that can be used prove $\\…
A. SSS.
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find the perimeter. write your answer as a fraction or as a whole or mi…
\( 4\frac{12}{19} \)
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draw a graph that models the connecting relationships in the floor plan…
A.
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the graph models the baseball schedule for a week. the vertices represe…
For the first question: A. No. For the second question: A. No.
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draw and label the image of △abc under a reflection across line ℓ.
The image is △A'B'C' where each vertex is the reflection of A, B, C over line ℓ. (Note: A precise drawing requires geometric tools to ensure perpendicularity and equal distances.)
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what combination of transformations is shown below? reflection, then ro…
reflection, then translation
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what is an angle that is supplementary to ∠dce?
\(\angle DCG\)
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which angle is vertical to ∠ibj?
\(\angle EBH\)
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use the figure for exercises 1–4. \\(\\overline{ab}\\) is a midsegment …
Slope of \( \overline{AB} \) is \(-1\), slope of \( \overline{ST} \) is \(-1\). ### Question 2
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the composition $d_{o,0.75}(x, y) \\circ d_{o,2}(x, y)$ is applied to $…
The three correct statements are: - The coordinates of vertex \( L'' \) are \( (-3, 1.5) \). - \( \triangle LMN \sim \triangle L''M''N'' \). - \( \angle M \cong \angle M'' \). (To…
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the blue dot is at what value on the number line? ? -8 -10
-5
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find the standard form of the equation of the hyperbola shown. the stan…
\(\frac{y^2}{25} - \frac{x^2}{36} = 1\)
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the reflector of a flashlight is in the shape of a parabolic surface. t…
\(1.5\)
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the blue dot is at what value on the number line? 9 13 ?
17
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the blue dot is at what value on the number line? (number line with 9, …
19
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fill in the blanks to complete the equation that describes the diagram.…
-6, -7 (so the equation is \(-1 + (-6) = -7\))
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find the standard form of the equation of the ellipse satisfying the gi…
\(\frac{x^2}{16}+\frac{y^2}{9}=1\)
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an architect designs two houses that are shaped and positioned like a p…
50
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find the standard form of the equation of the ellipse and give the loca…
\((-4\sqrt{2},0),(4\sqrt{2},0)\)
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prove the following using a two - column, statement/reason format. give…
\( \angle A = \angle B \)
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find the standard form of the equation of the ellipse and give the loca…
\(\frac{x^{2}}{36}+\frac{y^{2}}{4}=1\)
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what is the area of the triangle? image of a right triangle with legs 1…
\(60.5\)
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will a truck that is 14 feet wide carrying a load that reaches 10 feet …
will; \(10.43\)
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solve for x. 8 x° 9 55° x = ?° law of sines: \\(\\frac{\\sin a}{a} = \\…
\( 67.22 \)
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19. use the pattern to answer the questions. figure 1 figure 2 figure 3…
(for part a, x=0): 2
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solve for x. 27, x°, 44, 28° law of sines: \\(\frac{\\sin a}{a} = \\fra…
\( 49.93 \)
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find v. triangle with 30°, 60°, right angle, side 9√6 km, side v write …
\(18\sqrt{2}\)
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14. find the height of the tree. (image shows a right triangle situatio…
The height of the tree is \( \frac{1000}{11} \) ft (or approximately \( 90.91 \) ft).
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find z. triangle with 7 mm side, two 45° angles, right angle write your…
\(7\sqrt{2}\)
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18. use the pattern to answer the questions. step 1 step 2 step 3 (thre…
The number of pentagons increases by 1 for each subsequent step. Step 1 has 3, Step 2 has 4, Step 3 has 5. ### Part b: Pentagons in Step 0
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the elliptical ceiling of a building is 68 ft long and 11 ft tall. use …
(for part a): \(\frac{x^{2}}{1156}+\frac{y^{2}}{121}\) (For the distance part: The man stood at \(c=\sqrt{34^{2}-11^{2}}=\sqrt{1156 - 121}=\sqrt{1035}\approx32.2\) feet from the c…
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graph the ellipse and locate the foci. 3x² = 15 - 5y² choose the correc…
The foci of the ellipse are \((\sqrt{2},0),(-\sqrt{2},0)\)
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81x² + 16y² = 1296 choose the correct graph below. a. graph of an ellip…
The correct graph is A. The foci are \((0,\sqrt{65}),(0,-\sqrt{65})\)
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solve for x. 14 83° 13 law of sines: \\(\frac{\\sin a}{a} = \\frac{\\si…
\( 67.28 \)
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find k. triangle with 30°, 60°, right angle, side 3√3 m, side k write y…
\(\frac{3\sqrt{3}}{2}\) meters
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a rectangular flag and a triangular flag are being made. the same amoun…
The triangle has vertices at (0,1), (8,1), (0,5) (and back to (0,1)). (Note: The actual plotting would be done on the grid, but the key is determining the base length based on are…
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find j. triangle with 45°, 45°, right angle, one leg 10 mm, hypotenuse …
\(10\sqrt{2}\)
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graph the ellipse and locate the foci. \\(\\frac{x^2}{\\frac{9}{4}} + \…
\((0, 2)\), \((0, -2)\)
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find qr. write your answer as an integer or as a decimal rounded to the…
\(4.5\)
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what is the area of the triangle? 1 unit square units
12
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find the area of the triangle. 5.5 cm 6 cm □ cm²
$16.5$
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find fg. write your answer as an integer or as a decimal rounded to the…
\(3.1\)
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calculator the shape shown below has a base of 9 cm and a height of 4 c…
\( 18 \)
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find vw. v 5.6 x 51° w write your answer as an integer or as a decimal …
\(8.9\)
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find gh. triangle image with right angle at h, hypotenuse gi = 7.3, ang…
$6.1$
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august is buying a new triangular sail for his boat with the dimensions…
152
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find uv. triangle with right angle at v, angle at u is 34 degrees, side…
\(6.5\)
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find xy. x w 68° 7.5 y write your answer as an integer or as a decimal …
\(8.1\)
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7. aa~ sss~ sas~ not similar
AA~
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find vw. u v 2 27° w write your answer as an integer or as a decimal ro…
\(2.2\)
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find de. write your answer as an integer or as a decimal rounded to the…
\(5.5\)
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find the measure of angle c. 62° 34° 62° 34° c = ?°
84
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a triangle has a base of 5 meters and a height of 4 meters. the area of…
Triangle 1 Height: \( 0.2 \) meters Triangle 2 Base: \( 200 \) meters (In the table, Triangle 1 height box: \( 0.2 \), Triangle 2 base box: \( 200 \))
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find uv. v u 61° 2.2 w write your answer as an integer or as a decimal …
\(4.5\)
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find the measure of angle a. use alternate interior angles. a = ?°
62
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find st. write your answer as an integer or as a decimal rounded to the…
\(5.1\)
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find jk. triangle image with right angle at i, side ik = 5, angle at k …
\(9.4\)
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find rs. write your answer as an integer or as a decimal rounded to the…
\(6.1\)
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find ij. write your answer as an integer or as a decimal rounded to the…
\(3.9\)
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a rectangle has the dimensions shown below. select the triangle(s) whos…
The triangles with base 6 and height 4 (the third and fourth triangles in the list, or the ones with base 6 and height 4) have an area half of the rectangle's area. Specifically, …
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find ef write your answer as an integer or as a decimal rounded to the …
\(5.0\)
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find the solution set for the following system by graphing both of the …
The solution set is \(\{(0, 1),(0, - 1)\}\) (and the correct graph should show a circle of radius 1 and an ellipse with semi - major axis 4 intersecting at \((0,1)\) and \((0, - 1…
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find the solution set for the system by graphing both of the systems eq…
A. The solution set is \((-2, 0)\)
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use the graph to find f(1). f(1)=\\square question 20, 1.2.77 hw score:…
\( 0 \)
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a triangle has a base of 5 meters and a height of 4 meters. the area of…
Triangle 1 Height: \( 0.2 \) meters Triangle 2 Base: \( 200 \) meters
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the roof of a building has the dimensions shown in the diagram. 90 ft. …
7200
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graph the ellipse and locate the foci. \\(\\frac{x^2}{36} + \\frac{y^2}…
The foci are \((0, \sqrt{13})\), \((0, -\sqrt{13})\) and the correct graph is the one with vertical major axis (e.g., the appropriate option among A - D with vertical stretch, lik…
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calculator find the area of the shaded region. diagram of a right - ang…
22.5
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click on the 2 measurements you would use to find the area of the trian…
The two measurements are 4 cm (height) and 8 cm (base).
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in the diagram below, $\\triangle nop \\sim \\triangle qrp$. find $f$. …
\( f = 12 \) feet
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find q. write your answer as a whole number or a decimal. do not round.…
\( q = 4 \) meters
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graph the ellipse and locate the foci. \\(\\frac{x^2}{49} + \\frac{y^2}…
\((\sqrt{33},0),(-\sqrt{33},0)\)
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find w. diagram of two right triangles, triangle jim with right angle a…
\( w = 30 \)