Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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△cdb ≅ △klm. what is cd? meters
50 m
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these figures are congruent. what is m∠v?
70°
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which figures have a triangle cross - section? choose all that apply.
A. Pyramid, B. Triangular prism, C. Cube, D. Cone
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question state what additional information is required in order to know…
A. $\angle Y\cong\angle T$ or $\angle Z\cong\angle U$
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these figures are congruent. what is m∠b?
$34^{\circ}$
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state what additional information is required in order to know that the…
A. $\overline{WX}\cong\overline{ST}$
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△fgh≅△opq. what is fg? meters
50 m
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these figures are congruent. what is mn?
24 inches
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consider the following equation of a circle. (x - 1)^2+(y + 2)^2 = 25 s…
$5$
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lesson 6 | session 4 2 a middle school has an oval track with the dimen…
400.92 m
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consider the following equation of a circle. (x - 1)^2+(y + 2)^2 = 25 s…
$(1,-2)$
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5. a rectangle in the coordinate plane has vertices a(-1, 0) and d(11, …
39
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a middle school has an oval track with the dimensions shown. what is th…
C. $1,187$ To answer how Jacob might have gotten D as the answer: He might have used the diameter instead of the radius in the area formula. If he used $A=\pi d^{2}$ with $d = 12$…
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for problems 11 - 13, state whether the angles are supplementary or com…
11. Supplementary, missing angle is $130^{\circ}$. 12. Complementary, missing angle is $32^{\circ}$. 13. Complementary, missing angle is $25^{\circ}$.
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point c is what fraction of the distance from a to d?
\(\frac{1}{3}\)
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determine if the two triangles are congruent. if they are, state how yo…
The two triangles are congruent by the SSS (Side - Side - Side) congruence criterion.
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for the triangle shown, triangle abc is dilated by a scale factor of 3 …
c. 60
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find the standard form of the equation for the circle with the followin…
$(x - 7)^2+(y + 3)^2=11$
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these figures are congruent. what is uv?
50 mm
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identify the two - dimensional figure(s) that can be created by differe…
| Slice Description | Parallel to the base | Diagonal to the base | Perpendicular to the base | | --- | --- | --- | --- | | Possible Two - Dimensional Figure(s) Created | Rectangl…
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find the standard form of the equation for the circle with the followin…
$(x - 2)^2+(y+\frac{3}{2})^2 = 4$
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these figures are congruent. what is qr? miles
14 miles
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complete the proof by selecting the correct reason to match the stateme…
Step 1 Reason = Given Step 2 Reason = Definition of segment - bisector Step 3 Reason = Definition of segment - bisector Step 4 Reason = Vertical - angles theorem Step 5 Reason = S…
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select all the points which lie on the parabola with focus at (0,2) and…
A. $(-4,2)$ B. $(0,0)$ E. $(8,8)$
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find the standard form of the equation for the circle with the followin…
$(x - 6)^2+(y + 7)^2=36$
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prove: $adcong cd$. step statement reason 1 $bd$ bisects $angle abc$ $b…
Step 1 Reason: Given Step 2 Reason: Definition of angle - bisector Step 3 Reason: Definition of angle - bisector Step 4 Reason: Reflexive property Step 5 Reason: ASA congruence cr…
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for problems 7 - 9, find the missing angle. 7) m∠abd = 60° m∠abc = ___ …
7. \(28^{\circ}\) 8. \(33^{\circ}\) 9. \(87^{\circ}\)
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these figures are congruent. what is rs? inches
50 inches
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the figure shows right triangle abc with altitude cd, where △acd ~ △cbd…
The first blank is $\frac{x}{a}$, the second blank is $\frac{y}{b}$, the reason for $a^{2}=cx,b^{2}=cy$ is multiplication property, the reason for $a^{2}+b^{2}=cx + cy$ is additio…
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angle addition postulate find x find m∠gfh m∠kfh = 139°
\(x=-11\) \(m\angle GFH = 89^{\circ}\)
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9 in. 12 in. perimeter (terms of pi) ____________ perimeter (number) __…
Perimeter (terms of Pi): \(21+\frac{15\pi}{2}\) in Perimeter (number): \(44.55\) in
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6. the surface area of the cylinder shown is : a. 147 cm² b. 175 cm² c.…
D. $294$ $cm^{2}$ ### 7.
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angle addition postulate find x m∠mfg=(10x + 5)° (7x + 11)° 30°
\(x = 12\)
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a circle with radius 3 centimeters is cut from a square piece of felt. …
$35.74$ $cm^2$
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find x m<qmp = 129° (x + 64)° (x + 85)°
$x=-10$
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find the standard form of the equation for the following circle.
$(x + 2)^2+(y - 1)^2=9$
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complete the example below. then solve problems 1 - 11. example the dia…
$35.74$ $cm^2$
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△cde ≅ △vwx. what is ec? miles
27 miles
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angle addition postulate m<qnp = 78° (5x - 3)° (3x - 7)° find x find m∠…
$x = 11$ $m\angle QNM=52^{\circ}$
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for problems 4-6, write the name of the angle. 4) 5) 6)
4. $\angle QRS$ or $\angle SRQ$ 5. No angle formed 6. $\angle ARY$ or $\angle YRA$
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find m∠fgk
$44$
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these figures are congruent. what is rs?
59
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find the standard form of the equation for the circle with the followin…
$(x - \frac{1}{6})^2+(y + 1)^2=10$
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angle addition postulate find m∠fgk 46°
$136^{\circ}$
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which graph represents the compound inequality? n < -2 or n ≥ 4
The first option (the number - line with an open - circle at \(-2\) and arrow pointing left and a closed - circle at \(4\) and arrow pointing right) represents the compound inequa…
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these figures are congruent. what is m∠g?
$61^{\circ}$
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angle addition postulate boom cards find m∠bal
$121$
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identify which conditions make a unique triangle, more than one triangl…
| Triangle Conditions | Unique, More Than One, or No Triangle | |--|--| | Side lengths of 5 in., 12 in., and 20 in. | No Triangle | | Angle measures of 42°, 53°, and 85° | More Th…
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use the figure to answer the question. *not drawn to scale select all o…
B. \(JM = ML\), D. \(m\angle MJK=m\angle MLK\)
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which graph represents the compound inequality? h >= -5 and h < 2
The second graph (the one with a closed - circle at \(-5\), an open - circle at \(2\), and the line segment between them) represents the compound inequality \(h\geq - 5\) and \(h …
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consider the following equation of a circle. step 2 of 3: find the radi…
$\frac{7}{6}$
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7) reflection across y = -x
Plot the points obtained by applying the rule $(x,y)\to(-y,-x)$ to each vertex of the original polygon.
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the weight of a box of cereal can vary by $\frac{1}{4}$ of an ounce and…
The second graph (with open - circles at 17.75 and 18.25 and arrows pointing left of 17.75 and right of 18.25)
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1. is the branch of mathematics that uses variables, numbers and operat…
Algebra
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find the standard form of the equation for the circle with the followin…
$(x + 3)^2+(y + 1)^2=104$
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7) reflection across y = -x
The new points are \(F'=(2,4)\), \(G'=(1,4)\), \(H'=(1,2)\), \(I'=(3,2)\)
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a circle has radius 12 millimeters. what is its area? use 3.14 for π. s…
$452.16$ square millimeters
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consider the following equation of a circle. x^{2}+y^{2}-6x + 6y+9 = 0 …
Graph a circle with center $(3,-3)$ and radius 3 on the given grid.
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what is the exact area of the circle below? show your work.
$400\pi$ $cm^{2}$
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consider the following equation of a circle. x^{2}+y^{2}-6x + 6y+9 = 0 …
3
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consider the following equation of a circle. $x^{2}+y^{2}-6x + 6y+9 = 0…
\((3,-3)\)
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9. find the area of the figure shown; area = ____________ square yards.…
70 square yards
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find the standard form of the equation for the circle with the followin…
$(x + 8)^2+(y - 9)^2=130$
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classify each set of conditions by the possible number of triangles, if…
- More than one triangle can be formed: \(m\angle A = 90^{\circ},m\angle B = 30^{\circ},m\angle C = 60^{\circ}\); \(m\angle C = 70^{\circ},CA = 5,AB = 7\) - Exactly one triangle c…
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which graph represents the compound inequality? -3 < n < 1
The graph with open circles at $-3$ and $1$ and a line segment between them. (The fourth graph in the given options, assuming the order as presented in the image)
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the diameter of a canadian penny is 19 millimeters. the diameter of a c…
$62.8$ $mm^{2}$
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find the perimeter of the triangle whose vertices are (1, - 3), (-5,0),…
$3\sqrt{5}+2\sqrt{17}+\sqrt{41}$
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12. the number of square units needed to cover the surface of a figure …
A. area
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identify the quadrant or axis that the following point lies on. if the …
B. Quadrant II
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12. the number of square units needed to cover the surface of a figure …
A. area
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in which type of model are the measurements of the model proportional t…
Scale model
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consider the following pair of points. (8, -7) and (9, 8) step 2 of 2: …
$(8.5,0.5)$
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1. a round tablecloth has a diameter of 30 inches. a. what is the radiu…
a. 15 inches b. $225\pi$ square - inches 2. $9\pi$ square - meters
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9. perimeter (terms of pi) ____ perimeter (number) ____
Perimeter (terms of Pi): $27 + 2\pi$ cm Perimeter (number): $33.28$ cm
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which are correct representations of the inequality 6x ≥ 3 + 4(2x - 1)?…
1. $1\geq2x$ 2. $6x\geq3 + 8x - 4$ 3. The number - line with arrow pointing left and closed - circle at $0.5$
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what additional information is required for the 2 triangles to be congr…
D. $RS\cong ES$
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step 2 of 2: determine the midpoint of the line segment joining the pai…
$(8.5,0.5)$
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consider the following pair of points. (8, -7) and (9, 8) step 1 of 2: …
$\sqrt{226}$
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which are correct representations of the inequality -3(2x - 5) < 5(2 - …
C. -6x + 15 < 10 - 5x D. The number - line with an open - circle at 5 and arrow pointing to the right.
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select all the sets of values that could be the side lengths of triangl…
# Explicación: ## Paso 1: Aplicar la desigualdad triangular La desigualdad triangular establece que para cualquier triángulo, la suma de las longitudes de cualquier par de lados d…
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7. perimeter (terms of pi) perimeter (number) 10 ft. 6 ft.
Perimeter (terms of $\pi$): $6\pi + 16$ ft Perimeter (number): $34.84$ ft
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lance painted an 18 - inch - square board with an inscribed circle, as …
$0.215$
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5. 10 m. perimeter (terms of pi) perimeter (number)
Perimeter (terms of Pi): \(15\pi + 20\) Perimeter (number): \(67.1\)
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triangle z is a scaled copy of triangle m. m 4 7 10 select the sets of …
# Explicación: ## Paso 1: Encontrar la proporción de escala Para dos triángulos semejantes, las razones de los lados correspondientes son iguales. Sea la proporción de escala $k$.…
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which number line represents the solution set for the inequality $-\fra…
The second number - line (the one with a closed circle at - 8 and the arrow pointing to the left)
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2. perimeter (terms of pi) 6π + 12 perimeter (number) 30.8
Perimeter (terms of Pi): $6\pi+12$ cm Perimeter (number): $30.8$ cm
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2. what is the angle relationship? 3. solve for x: (10x + 1)° (12x - 5)°
$x = 3$
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2. your answer both in terms of pi and also as a number perimeter (term…
Perimeter (terms of Pi): $12\pi + 24$ cm Perimeter (number): $61.68$ cm
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state if the two triangles are congruent. if they are, state how you kn…
C. SAS
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1. 15 cm. perimeter (terms of pi) perimeter (number)
Perimeter (terms of Pi): $30\pi$ cm Perimeter (number): $94.2$ cm
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find the perimeter of the triangle whose vertices are (-5, - 1), (7, 15…
42
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(2, 5), (9, -7) and (9, 5) step 2 of 2: what is the area of the triangl…
42
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use the following information to answer the next question. the window s…
4. A. $1.8$ m² 5. C. $72$ units²
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1. create a scaled copy of abcd using a scale factor of 4. use your cur…
# Explicación: ## Paso 1: Multiplicar coordenadas de los vértices Si consideramos que los vértices de \(ABCD\) tienen coordenadas \((x,y)\) en la cuadrícula, para crear una copia …
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step 1 of 2: determine whether or not the given points (2,5),(9, - 7) a…
Right Triangle
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which number line represents the solution set for the inequality 3(8 - …
The number - line with an open - circle at 3 and the arrow pointing to the right. (The second option from the top in the given image)
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find the perimeter of the triangle whose vertices are (-4, - 3), (8, - …
$30$
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4. perimeter (terms of pi) ________ perimeter (number) ________ 20 ft. …
Perimeter (terms of $\pi$): $10\pi + 36$ ft Perimeter (number): $67.4$ ft
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what was the primary significance of the triangle shirtwaist factory fi…
A. It drew public attention to the poor working conditions of many unskilled laborers.
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finding the area of a circle continued > find the missing measurements.…
For radius 6 mm, area is 113.04 mm$^{2}$. For radius 8 ft, area is 200.96 ft$^{2}$. For radius 12 cm, area is 452.16 cm$^{2}$. For radius 1 km, area is 3.14 km$^{2}$.