幾何
三角形、円、座標幾何、証明問題。
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if quadrilateral abcd is an isosceles trapezoid, which statements must …
\(\overline{BC}\parallel\overline{AD}\), \(\overline{BA}\cong\overline{CD}\), \(\angle CBA\cong\angle BCD\)
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what additional information is needed in order to prove triangles cde a…
\(\angle DCE\cong\angle DCQ\)
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sofia cuts a piece of felt in the shape of a kite for an art project. t…
21 cm
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find the area. 10 in a = ? in² a = πr² use π = 3.14
\(78.5\)
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what other information is needed to prove \\( \\triangle a b c \\cong \…
\(\angle A\cong\angle Q\)
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find the area. a = ? ft² a = πr² use π = 3.14
\(153.86\)
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rhombus lmno is shown with its diagonals. angle mno measures 112°. what…
\(68^{\circ}\) (the fourth option)
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what is the perimeter of rectangle efgh? √10 + √29 units 2√10 + 2√29 un…
\(2\sqrt{10}+2\sqrt{29}\) units (the second option)
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if point c is the midpoint of both \\( \\overline { b d } \\) and \\( \…
\(\angle ACB\cong\angle ECD\)
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abcd is a square. what is the measure of angle bac? 30° 45° 60° 90°
\(45^{\circ}\) (the second option)
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what is the area of the triangle on the coordinate grid below?
\( 10.5 \) square units
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what is the approximate volume of a cone with a radius of 7 inches and …
A. 513.1 cubic inches
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to the nearest foot, what is the distance from the base of the building…
24 feet (Option D)
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the radius of a circle is 9 meters. what is the approximate circumferen…
D. 57 meters
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13. m∠def______
\(62^{\circ}\)
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m∠abc______
\(97^{\circ}\)
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it is given that \\( \\angle brm \\cong \\angle thy \\), \\( \\overline…
The triangles \(\triangle MBR\) and \(\triangle YTH\) can be proven congruent by the ASA (Angle - Side - Angle) criterion.
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what is the surface area of this cylinder? round your answer to the nea…
\(75837.05\) square inches
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a segment is translated using the translation $(x,y)\\to(x + 4,y + 8)$.…
\(-\frac{1}{2}\)
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what is the area, in square centimeters, of the rectangle shown? note: …
D. 480
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find the angle of rotation and direction (clockwise or counterclockwise…
125 degrees, counterclockwise
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what is francis scott key known for? (1 point) o promoting the idea of …
Writing "The Star - Spangled Banner"
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circle the letter next to the correct answer. 17. what is an example of…
17. B. Volunteering 18. B. Learning new things 19. C. Being a team player 20. B. False 21. B. Avoiding it 22. C. Talents; passions; values 23. B. False 24. A. True 25. A. True
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name: period foundation skill: 2d shapes complete the chart with inform…
1. Triangle: Name - Triangle, Properties - Sides: 3, Vertices: 3, Real - life objects: Traffic sign 2. Square: Name - Square, Properties - Sides: 4, Vertices: 4, Real - life objec…
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2 mark for review q 146° 17° note: figure not drawn to scale. in the tr…
\(17\) (Option D)
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the vertices of triangle pqr are p(2,4), q(6,0), and r(7,2). find the c…
\(P''(-4,-2)\), \(Q''(0,-6)\), \(R''(-2,-7)\)
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the vertices of triangle pqr are p(2,4), q(6,0), and r(7,2). find the c…
\(P'(-6,-1)\), \(Q'(-2,3)\), \(R'(-4,4)\)
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utilizar el gráfico de la parábola para completar la tabla. (a) ¿la par…
# Explicación breve: - **Parte (a)**: Una parábola que se abre hacia arriba tiene una concavidad hacia arriba (como una "U" abierta hacia arriba). Observando el gráfico, la parábo…
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given the line segment cd with coordinates c(2, -5) and d(4, 0), find t…
\(C''(-3,4)\), \(D''(2,6)\)
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given the line segment cd with coordinates c(2, -5) and d(4, 0), find t…
\(C''(-1,3)\) \(D''(1,-2)\)
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4. a sequence of transformations on point (-8,3) are described. $(x,y)\…
\(-7\)
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a sequence of transformations on point (-8,3) are described. $(x,y)\to(…
\(16\)
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name the figure below in two different ways. symbol:
\(\overleftrightarrow{TC}\), \(\overleftrightarrow{TK}\) (or \(\overleftrightarrow{KC}\))
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8. line de is parallel to line bc. a. what is the measure of angle eac?…
a. \(c^{\circ}\) b. \((180 - b)^{\circ}\)
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7. when triangle abc is reflected across line ab, the image is triangle…
A. Corresponding parts of congruent figures are congruent.
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write the measure in radians. 120°
\(\frac{2\pi}{3}\)
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5. line sd is a line of symmetry for figure asmhzdpx. tyler says that a…
a. Tyler's congruence statement is incorrect because he did not match the vertices in the correct order based on the line of symmetry. Corresponding vertices of congruent polygons…
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3. triangles dwf, dwf and dwf are shown on the coordinate grid. what se…
\(DWF\to D'W'F'\): Rotation of \(180^{\circ}\) about the origin. \(D'W'F'\to D''W''F''\): Translation \(6\) units to the right.
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7. an airplane takes off 200 yards in front of a 60 foot building. at w…
The angle of elevation is approximately \(5.71^{\circ}\)
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7. an airplane takes off 200 yards in front of a 60 foot building. at w…
The angle of elevation is approximately \(5.71^{\circ}\)
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1. point $(2,5)$ is a vertex of an object on a coordinate plane. the ob…
1. Reflection: \((5,2)\) Rotation: \((2,-5)\) 2. (Assuming \(K=(x,y)\) from the grid) After rotation \(K=(-x,-y)\) (you need to substitute the actual \(x\) and \(y\) values of poi…
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3. the triangles are congruent. which sequence of rigid motions will ta…
A. Translate \( XYZ \) using directed line segment \( YC \). Rotate \( X'Y'Z' \) using \( C \) as the center so that \( X' \) coincides with \( B \). Reflect \( X''Y''Z'' \) acros…
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7. an airplane takes off 200 yards in front of a 60 foot building. at w…
The angle of elevation is approximately \(5.71^{\circ}\)
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question 12 (mandatory) (1 point) which trigonometric tools must be use…
A. the cosine law and the tangent ratio
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determine the length of x, to the nearest tenth of a metre. a) 115.6 m …
c) \(202.2m\)
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team names: anissa reid, amase martin, alphea soco finding angle measur…
\(m\angle1 = 70^{\circ}\), \(m\angle2=65^{\circ}\), \(m\angle3 = 65^{\circ}\), \(m\angle4=115^{\circ}\), \(m\angle5 = 135^{\circ}\), \(m\angle6=135^{\circ}\)
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question 10 (mandatory) (1 point) in △abc, a = 6.9 m, b = 15.7 m, and ∠…
d) \(11.2\) m (Note: There might be a slight difference in rounding during intermediate steps. If we use more precise values for \(\cos(39^{\circ})\approx0.7771459615\) \[ \begin{…
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angle of elevation & depression worksheet (cont.) find all values to th…
The kite is \(78.8\) feet off the ground.
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question 9 (mandatory) (1 point) determine \\( \\angle b \\) to the nea…
a) \(\angle B = 72^{\circ}\)
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question 8 (mandatory) (1 point) frank wants to know the height of a si…
d) \(9.5m\)
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question 7 (mandatory) (1 point) determine the measure of the angle θ t…
C. \(\theta = 36^{\circ}\)
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question 6 (mandatory) (1 point) a woman has a triangular garden with s…
B. \(18^{\circ}\)
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1 (7x - 44)。 (8y - 43)。 39。 (4x + 4)。 9 = 23
\(x = 29\), \(y=20.375\)
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2. a rotation by angle ace using point c as the center takes triangle c…
a. Rotation is a rigid transformation. It maps \(CA\) to \(CE\) as the rotation about \(C\) by \(\angle ACE\) changes the orientation of \(CA\) to \(CE\) while keeping the length …
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question 5 (mandatory) (1 point) determine x to the nearest tenth of a …
B. \(6.9\ m\)
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the formula ( r=\frac{d}{2} ) can be used to find the radius of a circl…
D. \(d = 2r\)
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a circle with center j is shown in the figure below. (a) name a radius:…
(a) $\overline{JI}$ (or $\overline{JK}$ or $\overline{JN}$) (b) $\overline{KN}$ (c) $\overline{LM}$ (or $\overline{KN}$) (d) 14 units
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question 4 (mandatory) (1 point) determine the value of x to the neares…
# Explanation: ## Step1: Analyze triangles First, consider \(\triangle BCD\). Using the Law of Sines: \(\frac{BD}{\sin C}=\frac{CD}{\sin\angle CBD}\). Since \(\angle CBD = 180^{\c…
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find the x - intercept and the y - intercept of the line below. click o…
(a) \(x\) - intercept: \(3\) (b) \(y\) - intercept: \(1\)
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find the x - intercept and the y - intercept of the line below. click o…
(a) \(x\) - intercept: \(3\) (b) \(y\) - intercept: \(1\)
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question 16 (mandatory) (1 point) saved determine the value of x to the…
\(x = 500\)
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cle with center o is shown in the figure below. (a) name a radius: (b) …
(a) $\overline{ON}$ (or $\overline{OP}$, $\overline{OQ}$) (b) $\overline{PQ}$ (c) $\overline{MR}$ (or $\overline{PQ}$) (d) $12$ units
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question 3 (mandatory) (1 point) determine \\( \\angle a \\) to the nea…
d) \(\angle A = 32^{\circ}\)
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question 6 (mandatory) (1 point) saved in \\( \\triangle a b c, a = 6.9…
A. \(11.2\ m\)
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question 5 (mandatory) (1 point) saved which trigonometric tool must be…
d) two of the above are required
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each exterior angle in a regular polygon has a measure of 30. how many …
A. 12
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if $\\angle 1\\cong\\angle 2\\cong\\angle 3$, $\\angle 4\\cong\\angle 5…
\(63^{\circ}\)
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determine the value of x to the nearest tenth of a cm. a) 39.6 cm b) 40…
A. \(39.6\) cm
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6.1 polygons hw what is ( mangle b )? ( angle b=)
\(79\)
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6.1 polygons hw find the measure of 1 exterior angle in the regular pol…
\(30^{\circ}\)
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6.1 polygons hw find the interior angle sum. sum of interior angles:
\(900^{\circ}\)
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what is the value of x? a 101 b 74 c 90 d 94
D. 94
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question 3 (mandatory) (1 point) saved determine \\( \\angle a \\) to t…
A. \(\angle A = 32^{\circ}\)
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question 17 (mandatory) (1 point) determine the measure of the angle \\…
B. \(\theta = 68^{\circ}\)
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question 2 (mandatory) (1 point) saved determine x to the nearest tenth…
C. \(6.9\ m\)
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question 16 (mandatory) (1 point) which trigonometric tool must be used…
d) two of the above are required
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which trigonometric tool must be used to determine the length of x in t…
d) two of the above are required
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question 1 (mandatory) (1 point) saved frank wants to know the height o…
B. 9.5 m
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do you know how? use the diagram for exercises 5 - 10. classify each pa…
7. \(m\angle5 = 71^{\circ}\) 8. \(m\angle7 = 71^{\circ}\)
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question 15 (mandatory) (1 point) which trigonometric tools must be use…
A. the sine law and the tangent ratio
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question 14 (mandatory) (1 point) in △abc, a = 6.9 m, b = 15.7 m, and ∠…
a) \(11.2\ m\)
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question 13 (mandatory) (1 point) in △abc, a = 5.4 m, b = 7.2 m, and c …
C. \(104^{\circ}\)
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question 12 (mandatory) (1 point) determine the measure of the angle θ …
A. \(\theta = 36^{\circ}\)
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question 11 (mandatory) (1 point) a woman has a triangular garden with …
d) \(18^{\circ}\)
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fill in the blank question to decide whether government aid to schools …
Lemon
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question 10 (mandatory) (1 point) determine \\( \\angle a \\) to the ne…
B. \(\angle A = 32^{\circ}\)
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question 8 (mandatory) (1 point) determine x to the nearest tenth of a …
d) \(6.9\ m\)
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question 2(multiple choice worth 1 points) (01.06 mc) the equation for …
\(h = 3\)
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the corresponding faces of the 2 triangular prisms shown are similar. t…
A. 1.2
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question 16 (mandatory) (1 point) determine the value of x to the neare…
# Explanation: ## Step1: Use the Law of Sines in \(\triangle BCD\) In \(\triangle BCD\), \(\angle CBD=180^{\circ}-115^{\circ}-55^{\circ} = 10^{\circ}\). By the Law of Sines \(\fra…
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question 9 (mandatory) (1 point) determine the length of x, to the near…
d) \(103.0\) m
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answer attempt 1 out of 2 figure hijk is congruent to figure mnop becau…
\(4\)
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answer attempt 1 out of 2 figure hijk is congruent to figure mnop becau…
Figure \(HIJK\) is congruent to Figure \(MNOP\) because rigid motions can be used to map Figure \(HIJK\) onto Figure \(MNOP\). Figure \(HIJK\) is similar to Figure \(MNOP\) becaus…
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question 17 (mandatory) (1 point) determine the measure of the angle θ …
d) \(\theta = 36^{\circ}\)
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answer attempt 1 out of 2 figure hijk congruent to figure mnop because …
Figure \(HIJK\) is congruent to Figure \(MNOP\) because rigid motions can be used to map Figure \(HIJK\) onto Figure \(MNOP\).
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determine the value of x to the nearest cm. a) 98 cm b) 74 cm c) 68 cm …
A. 98 cm
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part 3 directions: solve for x. show all work! then find the measures o…
- **Problem 10**: \(x = 42\), angles are \(24^{\circ}\) and \(156^{\circ}\). - **Problem 11**: \(x = 7\), angles are \(67^{\circ}\) and \(67^{\circ}\). - **Proof Reasons**: - 12. …
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1. calculate the distance of xy given points x and y below. x(-7, 10) a…
The distance of \(XY\) is \(2\sqrt{34}\approx11.66\)
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question 17 (mandatory) (1 point) determine x to the nearest tenth of a…
A. \(6.9\ m\)
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question 16 (mandatory) (1 point) in △abc, a = 5.4 m, b = 7.2 m, and c …
C. \(104^{\circ}\)