Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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determine the value of x. * 1 point δabc ~ δxyz your answer
\( \boxed{25} \)
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word work circle the misspelled word in the sentence below. rewrite it …
Circle "rath" and rewrite it as "wrath".
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ami is making building blocks. the blocks are shaped like triangular pr…
A. \( 132\space \text{cm}^2 \)
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the area of the shaded sector is 8π. what is the measure of ∠sot, which…
B. \(45^\circ\)
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the volume of the rectangular pyramid is 360 cubic feet. the height, h,…
A. 12 ft
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in \\( \\triangle xyz, \\overline{ab} \\) is a midsegment. find the len…
B. 20
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what is the area of a circular region whose diameter is 12 centimeters?…
A. \( 36\pi \) square cm
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overline{pq} is reflected across the line ( x = - 3 ). the coordinates …
D. \((-8, 4)\)
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question 10 (3 points) given \\( \\triangle \\mathrm{win} \\) is an iso…
\((x,y)=(17,7)\) \(P = 272\)
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question 9 (2 points) solve for indicated values using the given inform…
\(x = 13\); \(y=\frac{26}{3}\); \(r = 50^{\circ}\); \(s = 65^{\circ}\); \(t = 65^{\circ}\)
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question 8 (3 points) find the missing angle, x. 122° x = degrees blank…
\(29\)
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question 7 (2 points) solve for the value of m and n using the given va…
Blank 1: \(114\) Blank 2: \(33\)
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what is the area of a right triangle 9 centimeters high with a base of …
C. 40.5 square cm
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match the angle sets to the correct type of triangle they form. reminde…
1. b 2. a 3. c 4. d 5. a 6. d
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the perimeter of triangle hbc is 42.3 miles. find the missing measureme…
Blank 1: \(42.3\) miles Blank 2: \(14.1\) miles Blank 3: \(60^{\circ}\)
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3. read the excerpt and answer the question that follows. the united st…
He aimed to safeguard the sovereignty of the United States in global affairs.
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question 3 (4 points) t/f the base angles of an isosceles triangle are …
- **Question 3**: True - **Question 4**: False
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given that m\\angle a = 118^{\\circ}. solve for m and n. m = n = blank …
\( m = 62\), \( n = 121\)
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question enter the missing values in the area model to find ( 3 ( 4 z +…
The missing values in the area model are \( 12z \) (for the top rectangle) and \( 21 \) (for the bottom rectangle).
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question 1 (3 points) given that ( mangle bda = 62^{circ} ). solve for …
\(112\)
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lines pq and rs are parallel. what is the measure of angle f in the fig…
D. \(107^\circ\)
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$\\overline{pq}$ is bisected at $r$. if $pq = 8x + 24$ and $rq = 8x - 1…
36
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question enter the missing values in the area model to find 8(10b + 6) …
The missing value in the area model (the lower rectangle) is \(48\), and the expression \(8(10b + 6)\) expands to \(80b + 48\). So the missing value to fill in the lower box is \(…
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the path of a satellite orbiting the earth causes it to pass directly o…
distance from A = 259.53 mi height = 259.01 mi
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find the distance between the points (1, 3) and (-2, 6). a 2 b 2√5 c 6 …
D. \( 3\sqrt{2} \)
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find ( mangle bhf ) if ( mangle abh = 36 ) and ( mangle gfh = 40 ).
B. 76
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the component form of a vector indicates the changes in x and y from th…
D. $\langle 2, -5 angle$
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question enter the missing values in the area model to find 3(7z - 2) a…
The missing value in the top rectangle is \(21z\) and the missing value next to \(-6\) is \(-2\). So the top box should be filled with \(21z\) and the right box (next to \(-6\)) s…
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if ( mangle3 = 111 ), what is ( mangle14 )?
A. 69
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question enter the missing values in the area model to find 9(7a - 5) a…
The missing values are \( 63a \) (for the top rectangle) and \( -45 \) (for the bottom rectangle). When expanding \( 9(7a - 5) \), we get \( 63a - 45 \).
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question 9 the path of a satellite orbiting the earth causes it to pass…
distance from A = 619.57 km height = 619.26 km
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look at this rectangle. find the value of a. a 83 yd perimeter = 356 ya…
\(95\)
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which figure has a greater perimeter? 62 m 62 m 62 m 75 m 45 m 60 m
The first figure (equilateral triangle) has a perimeter of \(186\) m. The second figure (right - angled triangle) has a perimeter of \(180\) m. So, the first figure has a greater …
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question 9 the path of a satellite orbiting the earth causes it to pass…
distance from A = 422.53 mi height = 421.97 mi
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which figure has a greater perimeter? 37 cm 94 cm 94 cm 37 cm 69 cm 66 …
The purple rectangle has a greater perimeter.
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which figure has a greater perimeter? 37 cm 94 cm 94 cm 37 cm 69 cm 66 …
The purple rectangle has a greater perimeter.
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what is the area of the rectangle? 2 cm 3 cm a 6 cm² b 23 cm² c 17 cm² …
A. \( 6 \, \text{cm}^2 \)
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question 14 (multiple choice worth 5 points) (scale factor and dilation…
\(17.64\space in^{2}\) (the fourth option)
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the legs of a right triangle measure 7 cm and 9 cm. what is the length …
11.4 cm
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a regular hexagonal prism with a height of 25 cm has side lengths of 5 …
\(880\ cm^{2}\)
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question 11 (multiple choice worth 5 points) (congruence and similarity…
\(\overline{TU}\)
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question 10 (multiple choice worth 5 points) (transformations lc) which…
The third figure (the scalene - looking triangle) does not have reflectional symmetry.
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question 9 (multiple choice worth 5 points) (volume lc) the radius of t…
\(100\pi\) \(ft^{3}\) (corresponding to the first option)
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what is the order of rotational symmetry and the angle of rotation for …
Order \( = 6\), angle of rotation \(=60^{\circ}\) (the first option)
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question 2 (multiple choice worth 5 points) (volume mc) a cereal box is…
28.16 ounces
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the volume of this cylinder is 6,330.24 cubic feet. what is the radius?…
9.17
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the volume of this cone is 65.94 cubic feet. what is the height of this…
7.00 feet
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triangle rst is shown below. which term best describes point g? centroi…
C. incenter
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the incenter of a triangle is shown below. which of the following state…
Point C is equidistant from the sides of triangle WXY.
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a__________is a line or segment that passes through the midpoint of a s…
D. perpendicular bisectors
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read the question and choose the correct answer. * 1 point triangle lmn…
A. centroid
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8. 6. plot the points c(-3,1), o(2,4), l(5,-2) on a coordinate axis. st…
(2, -1)
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what is the order of rotational symmetry and the angle of rotation for …
Order = 3, angle of rotation = 120° (the second option)
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which term represents the point of intersection of the three medians of…
A. centroid
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8. 6. plot the points ( c(-3,1), o(2,4), l(5,-2) ) on a coordinate axis…
(10,1)
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the centroid of triangle abc is at point d, as shown below. * if cd = 1…
8 cm
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the volume of this cone is 715.92 cubic centimeters. what is the height…
19.00
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in which figure does point x represent the centroid of the triangle? * …
B. The figure where point X is the intersection of the medians (segments from vertices to midpoints of opposite sides)
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what is the volume of this sphere? round your answer to the nearest hun…
58904.86
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8. 6. plot the points g( - 3,1),o(2,4),l(5, - 2) on a coordinate axis. …
(8, -3)
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what is the volume of this cylinder? round your answer to the nearest h…
6597.34
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a cylinder has a radius of 4.5 feet and a height of 12 feet. if the cyl…
\(1,049.7\space ft^{2}\)
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what is the volume of this cylinder? round your answer to the nearest h…
6597.34
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triangle fgh is shown below. which term best describes point k? * centr…
D. orthocenter
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what is the volume of this sphere? round your answer to the nearest hun…
248474.98
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8. 6. plot the points ( c(-3,1), o(2,4), l(5,-2) ) on a coordinate axis…
(2, -1)
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refer to the image below. point w in triangle qrs indicates the triangl…
Segment QT is congruent to segment TR.
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the volume of this cylinder is 785 cubic yards. what is the radius? rou…
5.00 yards
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question 15 (multiple choice worth 1 points) (congruence and similarity…
5.8 foot
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which of the following triangles indicates the incenter at point z? *
J. The triangle with the incircle centered at \( Z \) (option J) indicates the incenter at point \( Z \) because the incenter is the center of the incircle (tangent to all three s…
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the volume of this cone is 678.24 cubic yards. what is the radius of th…
6.00
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which of the following figures indicates the incenter of point i?
(Assuming the second triangle (with the circle) is the correct one, let's say the option is, for example, the second labeled one, but based on the diagram, the triangle with the i…
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question 12 (multiple choice worth 1 points) (volume mc) an underground…
47,462.8 pounds
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what caused the triangle shirtwaist factory fire of 1911 to end in so m…
A. negligence by the factory's owners and city officials
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what is the volume of this sphere? round your answer to the nearest hun…
24429.02 cubic yards
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question 10 (multiple choice worth 1 points) (triangle trigonometry lc)…
17.3 m
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question 7 (types of area mc) (multiple choice worth 1 points) a regula…
\(1332.23\space\text{in}^2\)
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a pentagon with an area of 30 yd² is dilated with a scale factor of k =…
\(97.2\space yd^{2}\) (the second option)
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congruent triangles abc and def are given. which side is congruent to (…
\(\overline{DE}\)
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(volume lc) the radius of a sphere is 6 feet. what is the volume of the…
\(288\pi\space ft^{3}\) (the second option)
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graph the image of \\( \\triangle r s t \\) after a reflection over the…
The image of $\Delta RST$ after reflection over $y=x$ has vertices at $(-8,9)$, $(1,9)$, and $(-9,7)$ (plot these points and connect them).
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question 1 (multiple choice worth 1 points) (transformations lc) which …
The first figure (triangle) and the fourth figure (pentagon) have reflectional symmetry. But if we assume the first is an isosceles triangle (common in such problems without more …
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∠sut and ∠wxz are supplementary. complete the proof that (overleftright…
The proof is completed with reasons: 1. Given; 2. Definition of supplementary angles; 3. Linear Pair Postulate; 4. Transitive Property of Equality; 5. Subtraction Property of Equa…
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complete the proof that ( overleftrightarrow{tv} parallel overleftright…
1. Vertical Angles Theorem 2. Vertical Angles Theorem 3. Transitive Property of Congruence 4. Converse of Corresponding Angles Theorem
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overleftrightarrow { u w } parallel overleftrightarrow { r t }. complet…
- Step 2 reason: Corresponding Angles Theorem - Step 3 reason: Vertical Angles Congruence Theorem - Step 4 reason: Transitive Property of Congruence Final conclusion: $\angle QSR …
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complete the proof that \\( \\angle sru \\cong \\angle rut \\). 1 \\( \…
Transitive Property of Congruence (for Statement 4's reason) Corresponding Angles Theorem (corrected reason for Statement 2)
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complete the proof that \\( \\angle sru \\cong \\angle rut \\). 1 ( \\o…
The reason for step 4 is Substitution.
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tv || qs. complete the proof that ( mangle prs + mangle vuw = 180^circ …
Statement 3 Reason: Angles forming a linear pair sum to 180° Statement 4 Reason: Substitution Property of Equality (using ∠VUW ≅ ∠SRU)
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tv || qs. complete the proof that ( mangle prs + mangle vuw = 180^{circ…
For Statement 2, the reason is Corresponding Angles Theorem. For Statement 4, the reason is Substitution Property of Equality (using \( \angle VUW \cong \angle SRU \)). The comple…
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complete the proof that ( mangle twx + mangle utw = 180^{circ} ).
Substitution
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each column of the matrix ( t=\begin{bmatrix}0&0&3\\0&3&0end{bmatrix} )…
\((0,0),(0,9),(9,0)\) (corresponding to the fourth option)
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each column of the matrix ( t=left\begin{array}{lll}0 & 0 & 3 \\ 0 & 3 …
C. \((3,0),(0,9),(9,0)\)
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the vertices of a rectangle are given in the columns of the matrix ( r=…
\((0,0),(0,3),(-3,3),(-3,0)\)
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ariane est paysagiste. elle doit aménager un parterre de fleurs dans un…
\( 6.53 \)
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laire dun polygone régulier est de 27,5 m², la mesure dun de ses côtés …
C'est un pentagone régulier (car un polygone à 5 côtés est un pentagone).
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laire dun polygone régulier est de 123,2 cm². ses côtés mesurent chacun…
10
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which angle is adjacent to ∠tvs? ∠nvt what is m∠nvs? m∠nvs =
∠NVT ### For the second sub - question (What is \(m\angle NVS\)?):
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un triangle a une aire de 14,7 dm² et une base de 8,4 dm. un trapèze a …
a) La plus longue base du trapèze mesure 11 dm. c) La hauteur du triangle est inférieure à la mesure de la petite base du trapèze.
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sachant que laire du parallélogramme suivant est de 48 cm², trouve la m…
4
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the longest side of a triangle similar to \\( \\triangle xyz \\) is 39 …
The other side lengths are \(30\) units and \(36\) units.