Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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12. which of the following formulas does not represent finding the heig…
C. $200 = \frac{(4)(5)}{h}$
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solve the problems below. a. find the surface area of the rectangular p…
$530$ square feet
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8. what is the total surface area of the figure below? a. 273 cm² b. 29…
A. \( 273 \, \text{cm}^2 \)
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$$(x,y) \to (2 - x, y - 5)$$ is an example of a transformation called a…
1. Output for (4,6): $(-2, 1)$ 2. Output for (7,2): $(-5, -3)$ 3. No
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the image shows a circle with center (4,6) and radius 10 units. select …
A. $(-4,12)$, B. $(-6,6)$, E. $(4,16)$
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find the value of x in the parallelogram. the value of x is \\(\\square…
\(107\)
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find the total surface area and volume of the figure.
# Explanation: ## Step1: Analyze the shape components The figure seems to be a combination of a triangular prism and two rectangles (or squares) on top. Wait, maybe it's a net or …
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match each equation to its description. a: circle centered at (1,0) wit…
A: circle centered at (1, 0) with a radius of 5 → 3: $(x-1)^2 + y^2 = 25$ B: circle centered at (1, -6) with a radius of 5 → 1: $(x-1)^2 + (y+6)^2 = 25$ C: circle centered at (1, …
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write an equation of a circle that is centered at (4, -7) with a radius…
B. $(x - 4)^2 + (y + 7)^2 = 36$
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quadrilateral bcde is similar to quadrilateral fghi. find the measure o…
36.6
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find the value of each variable. y = z =
y = 115 z = 69
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find m∠c in the quadrilateral. this figure is not drawn to scale. m∠c =…
\(59\)
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find the volume of this triangular prism. be sure to include the correc…
$360$ cubic meters ($360 \, \text{m}^3$)
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6. in the diagram, ghjk ~ lmnp. find the area of lmnp. area of ghjk = 8…
The area of \( LMNP \) is \( 756 \, m^2 \).
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what is the slope of the line that passes through the points (-4, 2) an…
2
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the pentagons ( abcde ) and ( jklmn ) are similar. find the length ( x …
$2.7$
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the quadrilaterals (abcd) and (pqrs) are similar. find the length (x) o…
$11.2$
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use the figure to complete each part. (a) name the sides of $\\angle nm…
(a) $\overrightarrow{MN}$ and $\overrightarrow{MQ}$ (b) $\angle PMQ$ and $\angle M$ (c) $M$
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find x. x =
$35$
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26. modeling real life a dentist’s office and parking lot are on a rect…
(Part a): $\boldsymbol{x - 5}$ ## Part b ## Step1: Relate office length to $x$ The dentist's office length is $x$ m, set equal to 20. $$x = 20$$ ## Step2: Calculate width value Su…
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a. the shape of the arches b. the triangles on the middle columns c. th…
c. the details of the sculptures and the rose stained glass window
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listening & speaking the time 1a 2.20 listen at the clocks. listen and …
1. It's one o'clock. 2. It's two oh five. 3. It's three ten. 4. It's four fifteen. 5. It's six twenty-five. 6. It's seven thirty. 7. It's nine forty. 8. It's twelve fifty-five. 1.…
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read the sentences below, filling in the blanks with items from this li…
1. A three-dimensional solid with a polygonal base and triangular faces is called a **pyramid** 2. The point where the triangular faces of a pyramid meet is called the **apex** 3.…
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what is the shape of the base of a pyramid? a. sphere b. circle c. elli…
1. d. Polygon 2. d. Square pyramid 3. $V=\frac{1}{3} \times 36 \times 14 = 168\ \text{cm}^3$, so c. $168\text{cm}^3$ 4. c. Apex
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what is the formula used to calculate the volume of a pyramid? a. $v = …
1. d. $V = \frac{1}{3} \times B \times h$ 2. b. Volume is doubled 3. b. Base area 4. a. 12 m 5. d. 6 m 6. c. 90 degrees
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question 4 of 10 which figure shows an example of symmetry? a. b. c. d.
C. [The figure with the symmetric diamond-like shape across the dashed line]
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3. the columbian exchange (which includes the triangle trade) was an ex…
C. New food in the Old World (Europe)
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stefan knows that a lighthouse that is 24 feet tall casts a shadow that…
16
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a monument is 24 meters tall. close by, there is an oak tree that is 16…
30
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a antenna is 32 meters tall and its shadow is 60 meters long. nearby, a…
16
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find v. write your answer as a whole number or a decimal. do not round.…
\( v = 4 \) feet
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find u. write your answer as a whole number or a decimal. do not round.…
\( 1.6 \)
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lesson 9.3 practice for use with pages 464-469 name: deasia mcdonald fi…
1. $c=26$ 2. $c=25$ 3. $c=2\sqrt{10}$ 4. $a=3\sqrt{91}$ 5. $b=6\sqrt{5}$ 6. $a=\sqrt{101}$
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find the unknown length. write your answer in simplest form. 2. 3. 4. 5…
2. $c=26$ 3. $c=25$ 4. $a=3\sqrt{91}$ 5. $b=6\sqrt{5}$ 6. $a=\sqrt{101}$
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rotate △pqr 270° counterclockwise around the origin.
The rotated triangle $\triangle P'Q'R'$ has vertices at $P'(1, - 3)$, $Q'(3, - 1)$, $R'(1, - 1)$ (assuming the original coordinates of $P=(3,1)$, $Q=(1,3)$, $R=(1,1)$). If the ori…
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determine whether the triangle with the given side lengths is a right t…
7. Yes, it is a right triangle. 8. No, it is not a right triangle. 9. Yes, it is a right triangle. 10. No, it is not a right triangle. 11. No, it is not a right triangle. 12. No, …
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14. $a = 40, c = 58$\ 15. $b = 56, c = 65$\ 17. $a = 13, b = 84$\ 18. $…
14. $b=42$ 15. $a=33$ 17. $c=85$ 18. $c=65$
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bonus page - build-a-triangle aquarium draw your own triangles, then cl…
1. Triangle #1 Angle type (outline): Acute Side type (shade): Scalene 2. Triangle #2 Angle type (outline): Right Side type (shade): Isosceles 3. Triangle #3 Angle type (outline): …
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find d. (there is a right - angled triangle in the image, with one angl…
$10\sqrt{2}$ millimeters
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find a. write your answer in simplest radical form. inches
$\sqrt{3}$ inches
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6 practice 7 (from unit 4, lesson 6) right triangle ( abc ) is shown. s…
B, F, G
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5 practice 5 (from unit 4, lesson 12) technology required. here is figu…
\(118\)
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4 practice 4 (from unit 4, lesson 12) here is a diagram. find the area …
21.2
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practice 3 match the two - dimensional figure and axis of rotation with…
A: a cylinder $\longleftrightarrow$ 2: (Rectangle) B: a sphere $\longleftrightarrow$ 3: (Semicircle) C: a cone $\longleftrightarrow$ 1: (Right Triangle)
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prove: $\\triangle gkj \\cong \\triangle jhg$ 3. bridges in the diagram…
The two - column proof as shown above proves that \(\triangle AXB\cong\triangle CXB\) using the HL Congruence Theorem.
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example 1 1. camping in the diagram of the pup tent, the support pole i…
### For Problem 1: The two - column proof as shown above proves that $\triangle WXZ\cong\triangle YXZ$ by the SAS congruence criterion. ### For Problem 2: The two - column proof a…
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submit answers on google forms https://forms.gle/vjycyfa1tbvj1qte9 geom…
1) No 2) No 3) Yes 4) Yes 5) No 6) Yes 7) $5 < x < 19$ 8) $0 < x < 16$ 9) $3 < x < 21$ 10) $1 < x < 17$ 11) $2 < x < 18$ 12) $4 < x < 20$
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lines are drawn on a coordinate plane to form quadrilateral wxyz. which…
- Line WZ has the same slope as line XY. - Line ZW has the same y - intercept as line YZ. - Line XY has a lesser y - intercept than line XW.
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the graphs below show measurements from cubes with different side lengt…
- side length and perimeter of 1 face - area of 1 face and surface area
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shonda was curious if segments ( overline{wx} ) and ( overline{yz} ) we…
A. One more transformation — a rotation — would map $\overline{WX}$ onto $\overline{YZ}$. So the segments are congruent.
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amad was curious if triangles $\\triangle abc$ and $\\triangle edf$ wer…
C. There is no error. This is a correct conclusion.
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write the standard form of the equation of the circle with the given ch…
\((x + 2)^2 + (y + 9)^2 = 25\)
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12. -/1 points write the standard form of the equation of the circle wi…
\(x^2 + y^2 = 49\)
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write and solve a system of equations to solve each problem. explain wh…
The width of the rectangle is \( 5.5 \) cm and the length is \( 16.5 \) cm. The method used is substitution because we had one variable (length) expressed explicitly in terms of t…
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look at this diagram; if \\(\\overleftrightarrow{df}\\) and \\(\\overle…
\( 124 \)
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assume that the following graph has the given type of symmetry. x - axi…
To complete the graph with x - axis symmetry, for every point \((x,y)\) on the given upper part of the graph (where \(x\geq5\) and \(y\geq0\)), plot the point \((x, - y)\) below t…
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solve for x: (59 - 2x)° (64 - 3x)° x = submit work it out not feeling r…
\( x = 5 \)
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jl and mo are parallel lines. which angles are corresponding angles? ∠m…
\(\boldsymbol{\angle MNK}\) and \(\boldsymbol{\angle JKN}\)
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ce and fh are parallel lines. which angles are corresponding angles? ∠e…
\(\angle EDB\) and \(\angle HGD\)
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solve for x, x = submit work it out not feeling ready yet? these can h …
\( 20 \)
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find the measure of $\\angle bhe$. $m\\angle bhe = \\square^\\circ$
\( 49 \)
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which sentences feature a first - person point of view? select three an…
- My friend likes cars with a lot of horsepower, but I prefer good gas mileage - I spent last night studying for the geometry test we're taking in fifth period - Although his orga…
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solve for x. x = \\square
\( x = 4 \)
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solve for x. (124 - x)° (8x + 43)° x = submit work it out not feeling r…
\(x = 9\)
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find g. write your answer as an integer or as a decimal rounded to the n
\(10.9\)
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find s. write your answer as an integer or as a decimal rounded to the …
\(13.1\)
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7. graph g r a m; the image of gram after a translation 11 units right …
To graph \( G'R'A'M' \), first find the coordinates of the original vertices \( G, R, A, M \) from the graph: \( G(-8,1) \), \( R(-7,6) \), \( A(-4,6) \), \( M(-4,1) \). Apply the…
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find p. write your answer as an integer or as a decimal rounded to the …
\(12.5\) (or \(13\) if rounded to nearest integer)
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find h. write your answer as an integer or as a decimal rounded to the …
\( \boxed{6.0} \) (or \( 6 \) if integer is preferred)
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the width of a plastic storage box is 3 ft longer than the height. the …
1. $V = lwh$ 2. Height: $h$, Width: $h+3$, Length: $h+7$ 3. $V = h(h+3)(h+7)$ 4. 7 ft (width), 11 ft (length), 4 ft (height)
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find r. write your answer as an integer or as a decimal rounded to
\( \approx 12.9 \) (or 13 if rounded to integer, but more accurately 12.9)
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find s. write your answer as an integer or as a decimal rounded to the …
\( s\approx10.7 \)
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which triangles are similar to $\\triangle abc$? choose 1 answer: a $\\…
C. Both
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1 ) 128° ? angle = ____ 2 ) 95° ? angle = ____ 3 ) ? 97° angle = ____ 4…
1) $52^\circ$ 2) $85^\circ$ 3) $83^\circ$ 4) $145^\circ$ 5) $108^\circ$ 6) $70^\circ$ 7) $33^\circ$ 8) $120^\circ$ 9) $123^\circ$ 10) $115^\circ$
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solve for x. (3x + 24)° (5x - 12)° x = submit
\( 18 \)
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3. (a parallelogram with base 7 ft and height 3 ft, likely asking for a…
The area of the parallelogram is \( 21 \) square feet.
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solve for x.
\( 21 \)
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（the image shows a trapezoid with a base of 10 yd and a height of 9 yd.…
The area of the figure is 90 square yards.
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what is the equation for the axis of symmetry? options: x=3, x=5, y=3, …
A. x=3
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what is the significance of the point (-3, 18)? select all correct opti…
vertex
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what is the green dot on the parabola called? zeros minumum maximum roo…
C. maximum
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solve the problems below. estimate your final answer to the nearest ten…
3) 8.5 cm 4) 10 blocks 5) 11.6 feet 6) 15 inches
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identify the y - intercept. options: (-4, 0), (-1, 9), (0, -8), (0, 0)
C. (0,-8)
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what is the equation for the axis of symmetry? options: x=5, x=1, y=3, …
B. x=1
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identify the vertex (0,0) (-4,0) (-1,-9) (0,-8)
C. (-1,-9)
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what is the green dashed line called? parabola roots or x - intercepts …
D. axis of symmetry
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define x - intercept where the parabola touches or intersects the y - a…
Where the parabola touches or intersects the x-axis
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question 6 of 10 jake and erica were solving a system of equations. the…
C. Erica is correct. Two lines with equal slopes could be the same line, but only if they have the same y - intercept.
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the graph of $y = f(x)$ is shown below. which point could be used to fi…
Point B (the point with $x$-coordinate $-1$)
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the hypotenuse of the right triangle is 5y inches long. the lengths of …
A) 35
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graph the line that passes through the points (-9, 8) and (-3, 6) and d…
The equation of the line is $\boldsymbol{y=-\frac{1}{3}x + 5}$ (The graph is already correctly plotted with the line passing through $(-9,8)$ and $(-3,6)$, extending in both direc…
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consider the line ( x - 9y = 9 ). what is the slope of a line parallel …
Slope of a parallel line: $\frac{1}{9}$ Slope of a perpendicular line: $- 9$
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andrew constructed a triangle so that $\\angle 1$ and $\\angle 2$ were …
$50^\circ$
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find the equation and slope of a line that is parallel to the line ( x …
Equation: \( x = -7 \) Slope: Undefined
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0 multiple choice 2 points two triangles are similar. the measure of th…
6.25
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supplementary angles are two angles that have measures with a sum of 18…
The measure of angle 1 (x) is 50 degrees and the measure of angle 2 (y) is 130 degrees.
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in the diagram, which two angles are adjacent? options: $\\angle deq$ a…
$\angle MKT$ and $\angle NJT$
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9 a flagpole casts a shadow 10 ft long. if a man 6 ft tall casts a shad…
The flagpole is 15 feet tall. ### Problem 10
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12 multiple choice 2 points if the length of one of the legs of a right…
12. D. 26 13. D. (3, -4) 14. A. 29° 15. B. IV
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8 multiple choice 2 points triangle fgh and two of its angle measures a…
1. 8. B. $91^\circ$ 2. 9. C. 29 3. 10. B. 16 4. 11. C. Vertical angles are always congruent.