Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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26) for the circle below, which expression can be used to find the area…
# Explicación: ## Paso1: Usar fórmula de área de sector El área de un sector de un círculo se da por $A=\frac{\theta}{360^{\circ}}\times\pi r^{2}$, donde $\theta$ es el ángulo cen…
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determine the equation of a circle with radius 6 and its center at the …
B. $x^{2}+y^{2}=36$
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what is the area of this figure? square kilometers
48
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in △abc, m∠a = 65, m∠b = 45, and m∠c = 70. which side of the triangle i…
B. $\overline{AB}$
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20) a scientist has two similar cylindrical beakers. beaker a has radiu…
# Explicación: ## Paso 1: Fórmula del volumen de un cilindro El volumen de un cilindro se calcula con la fórmula $V = \pi r^{2}h$. Supongamos que las alturas de los dos cilindros …
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what is the area of the trapezoid? square meters
14
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b is the midpoint of line segment $overline{ac}$. the coordinates of b …
D. (8, 28)
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in circle o, m\\(widehat{ac}\\) = m\\(widehat{bc}\\) = 160. what is m\\…
C. 40
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find the distance between points g and v. -2\\frac{1}{2}\t-1\\frac{1}{2…
2
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what is m\\(\\stackrel{\\frown}{bc}\\)? (not drawn to scale) a 76 b 284…
D. 152
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select the correct choice that completes the sentence below. when repre…
not
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what is the area of this figure? square inches
26
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what is the area of the triangle? 5 mm 5 mm 4 mm 6 mm square millimeters
12
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you are writing a story about lily, who is in study hall. choose the be…
Lily could see that Pedro didn't understand his homework. She went over to him and said, "Here, let me show you a trick."
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20) a scientist has two similar cylindrical beakers. beaker a has radiu…
# Explicación: ## Paso 1: Recordar la fórmula del volumen de un cilindro El volumen de un cilindro se calcula con la fórmula $V = \pi r^{2}h$. Supongamos que las alturas de los ci…
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a classroom board is 36 inches wide and 24 inches tall. cheryl is putti…
B. 120 inches
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the diagonals of this rhombus are 8 kilometers and 10 kilometers. what …
40
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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. $6$ $cm^{2}$
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20) a scientist has two similar cylindrical beakers. beaker a has radiu…
# Explicación: ## Paso 1: Fórmula del volumen de un cilindro El volumen de un cilindro se calcula con la fórmula $V = \pi r^{2}h$. Supongamos que las alturas de los cilindros A y …
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what is the area of the parallelogram? 10 mm 5 mm 10 mm square millimet…
50
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19) the volume of a cone is given by the formula v = 1/3πr²h. what is t…
# Explicación: ## Paso 1: Identificar el radio y la altura El radio $r$ del cono es de 6 pulgadas y la altura $h$ es de 8 pulgadas. ## Paso 2: Aplicar la fórmula del volumen del c…
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18) a plane intersects a right cylinder parallel to one of the cylinder…
C. círculo
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point s is on line segment $overline{rt}$. given $rt = 2x$, $rs = 3x - …
$4$
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find the value of the variables in the diagrams below:
For the first diagram, $x = 12$. For the second diagram, $x = 20$.
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17) for the right triangle shown below, what is the tangent of ∠a? o ta…
# Explicación: ## Paso 1: Recordar la definición de tangente En un triángulo rectángulo, $\tan(A)=\frac{\text{cateto opuesto}}{\text{cateto adyacente}}$ respecto al ángulo $A$. ##…
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16) a triangle undergoes an enlargement as shown in the diagram. what i…
# Explicación: ## Paso 1: Identificar triángulos semejantes Los triángulos son semejantes, entonces las razones de los lados correspondientes son iguales. ## Paso 2: Establecer la…
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point k is on line segment $overline{jl}$. given $jl = x + 10$, $kl = 4…
8
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1. find the measures of the interior angles of the triangle. the measur…
30°, 60°, 90°
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21. which diagram(s) show adjacent angles? __________ 22. which diagram…
21. C, F 22. B, D, F 23. A, C 24. E 25. E
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20. ∠3 and ∠4 are supplementary angles. find the measures of the angles…
\(m\angle3 = 149^{\circ}\), \(m\angle4 = 31^{\circ}\)
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point d is on line segment $overline{ce}$. given $cd = x, de = 7$, and …
$7$
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point u is on line segment $overline{tv}$. given $uv = 2$, $tu = 5x$, a…
$12$
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3. find the measures of the interior angles of the triangle. the measur…
\(25^{\circ},45^{\circ},110^{\circ}\)
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solve the inequality and graph the solution on the line provided. 3 + 5…
Inequality Notation: $x\geq4$ Number Line: Plot a closed - circle at 4 (because the inequality is $\geq$) and draw a line to the right of 4.
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solve the inequality and graph the solution on the line provided. -2x +…
Inequality Notation: $x\leq - 2$ Number Line: Plot a closed - circle at - 2 and draw a line to the left.
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solve the inequality and graph the solution on the line provided. -13 +…
Inequality Notation: $x\geq - 1$ Number Line: Plot a closed - circle at $-1$ and draw a line to the right.
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20. ∠3 and ∠4 are supplementary angles. find the measures of the angles…
\(m\angle3 = 149^{\circ}\), \(m\angle4 = 31^{\circ}\)
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solve and write interval - notation for the solution set. then graph th…
The solution set in interval notation is $(-\infty,-\frac{7}{2})$. For the graph, it would be a number - line with an open circle at $-\frac{7}{2}$ and an arrow pointing to the le…
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20. ∠3 and ∠4 are supplementary angles. find the measures of the angles…
$m\angle3 = 149^{\circ}$, $m\angle4 = 31^{\circ}$
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solve the inequality and graph the solution on the line provided. -5x -…
Inequality Notation: $x\geq - 7$ Number Line: Plot a closed - circle at - 7 and draw a line to the right.
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7) the table below shows the sum of the interior angle measures of cert…
# Explicación: ## Paso1: Identificar la fórmula La fórmula para el cálculo de la suma de los ángulos interiores de un polígono es $S=(n - 2)\times180^{\circ}$, donde $n$ es el núm…
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finding scale factor scale factor is a ratio between the side - length …
For #1: New side lengths are 18 ft and 24 ft. For #2: New side lengths are 1 cm and 5 cm. For #3: New side lengths are 4 in and 6 in.
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6) the table below shows the number of diagonals in certain polygons. w…
$\frac{n(n - 3)}{2}$
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19. ∠1 and ∠2 are complementary angles. find the measures of the angles…
$m\angle1 = 48^{\circ}$ $m\angle2 = 42^{\circ}$
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∠3 and ∠4 are supplementary angles. given the measure of ∠3, find m∠4. …
17. \(105^{\circ}\) 18. \(64^{\circ}\)
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x = ________ y = ________ z = ________
# Explicación: ## Paso 1: Usar la proporcionalidad de triángulos semejantes Como los triángulos son semejantes, se tiene $\frac{4z}{4z + 20}=\frac{x}{x + y}=\frac{24 - x}{24}$. To…
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∠1 and ∠2 are complementary angles. given the measure of ∠1, find m∠2. …
15. \(m\angle2 = 54^{\circ}\) 16. \(m\angle2 = 88^{\circ}\)
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right trapezoid wxyz is shown. what is the measure of angle wxy? 73° 90…
$107^{\circ}$
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the diagram shows quadrilateral mnpq. what is the length of line segmen…
10 units
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what is the measure of ∠lmn in kite klmn? 49° 99° 106° 155°
$155^{\circ}$
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what is the measure of ∠adc in quadrilateral abcd? 45° 65° 115° 135°
$65^{\circ}$
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x = ____ y = ____
# Explicación: ## Paso1: Identificar triángulo isósceles El triángulo tiene dos lados iguales (señalados con barras rojas), entonces es isósceles y los ángulos opuestos a esos lad…
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which quadrilateral is a kite?
The first quadrilateral (the one with vertices \(A\), \(B\), \(C\), and \(D\)) is a kite.
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given: jklm is an isosceles trapezoid, kl || jm. prove: km = jl. what i…
base angles theorem
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if km is drawn on this quadrilateral, what will be its length? 16 units…
40 units
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if quadrilateral pqrs is a kite, which statements must be true? select …
1. \(\overline{QP}=\overline{QR}\) 2. \(\overline{PM}=\overline{MR}\) 3. \(\angle PQR=\angle PSR\)
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it is given that quadrilateral abcd is a kite. we know that $overline{a…
perpendicular
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it is given that quadrilateral abcd is a kite. we know that $overline{a…
HL
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it is given that quadrilateral abcd is a kite. we know that $overline{a…
reflexive
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6. v all work for full credit. x = ________ y = ________
# Explicación: ## Paso1: Identificar triángulo isósceles El triángulo tiene dos lados iguales, entonces los ángulos opuestos a esos lados son iguales. Entonces $x = 54^{\circ}$. #…
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given: quadrilateral abcd is a kite. prove: △aed≅△ced it is given that …
$\triangle AED\cong\triangle CED$ by the Hypotenuse - Leg (HL) congruence criterion.
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6. if z is the centroid of δwxy, wr = 87, sy = 39, and yt = 48, find ea…
a) \(WS = 39\) b) \(WY = 78\) c) \(WZ = 58\) d) \(ZR = 29\) e) \(ZT = 16\) f) \(YZ = 32\)
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5. if m is the centroid of △abc, am = 44, ce = 54, and dm = 23, find ea…
a) FM = 22 b) AF = 66 c) CM = 36 d) ME = 18 e) MB = 46 f) DB = 69
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use the example below to help you find the slope of the images below. *…
1. $\frac{1}{12}$ 2. $\frac{1}{4}$ 3. $\frac{1}{20}$
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charlene puts together two isosceles triangles so that they share a bas…
D. 21 inches
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calculating measures of isosceles trapezoids. use the diagram to find t…
The measure of angle $GHE$ is $62^{\circ}$. The length of $\overline{GE}$ is $15$.
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practice 45,45,90 regular find the missing side lengths. leave your ans…
# Explanation: ## Step1: Recall 45 - 45-90 triangle ratio In a 45 - 45 - 90 triangle, the ratio of the side lengths is $a:b:c = 1:1:\sqrt{2}$, where $a$ and $b$ are the legs and $…
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consider kite wxyz. what are the values of a and b? o a = 4; b = 10 o a…
\(a = 8;b = 40\)
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consider trapezoid lmno. what information would verify that lmno is an …
C. $\overline{LO}=\overline{MN}$ F. $\angle L=\angle M$
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10. in the diagram below, $overrightarrow{bd}$ bisects $angle abc$. fin…
$x = 12$, $m\angle ABC=98^{\circ}$
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7. derek is proving that any point on the perpendicular bisector of a l…
The triangles are congruent because $\triangle ABC$ can be translated to $\triangle DEF$ using the rule $(x,y)\to(x + 1,y + 1)$. ### 8. B.
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what is the length of the sides of kite abcd? ab = 20; cd = 15 ab = 15;…
AB = 15; CD = 20
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7. derek is proving that any point on the perpendicular bisector of a l…
$\triangle ABC$ can be translated one unit to the right and one unit up to coincide with $\triangle DEF$. So, $\triangle ABC\cong\triangle DEF$. #### B.
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practice solving problems involving trapezoids and kites. which stateme…
The diagonals of an isosceles trapezoid are congruent; The bases of a trapezoid are parallel.
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find the slope of the line given. slope =
$1$
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answer attempt 1 out of 2 area = units² submit answer
72
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10 complétez chaque énoncé relatif aux églises protestantes. a) léglise…
a) L'Église a été fondée par un moine allemand. b) L'Église a été fondée à Genève, en Suisse. c) L'Église a été fondée par un roi d'Angleterre.
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sorting properties of trapezoids and kites sort the property that chara…
Trapezoid: can have congruent diagonals, has one pair of opposite, parallel sides Kite: has congruent adjacent sides, has perpendicular diagonals
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lab geometry congruence practice questions 1. describe the transformati…
1. Rotation of $180^{\circ}$ about the origin 2. Horizontal stretch by a factor of 3 and vertical translation 4 units down 3. Dilation with scale factor 2 and rotation of $180^{\c…
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kara is building a sandbox shaped like a kite for her nephew. the top t…
36
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answer attempt 1 out of 2 area = units²
48
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name: calista weekly language review - unit 2a week 3 date: sep 29 - oc…
Monday: - Conjunction: so - Reflexive pronoun: himself - Past - tense verb: gave - Compound subject: Tony and Mark - Adjective/adverb: adjective (green) - Collective noun: colony …
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in the rectangular prism shown below, which lines are parallel? select …
$\overline{JM}$ and $\overline{KO}$, $\overline{PQ}$ and $\overline{LM}$
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in the cube shown below, which lines are intersecting? eh and gh cd and…
$\overline{EH}$ and $\overline{GH}$
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in the triangular prism shown below, which lines are intersecting? sele…
$\overrightarrow{PQ}$ and $\overrightarrow{PS}$
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plot the points on the coordinate plane. x y (x, y) 0 $\frac{1}{3}$ (0,…
Points $(0,\frac{1}{3})$, $(\frac{2}{3},1)$ and $(1,1\frac{1}{3})$ are plotted on the coordinate - plane as described above.
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in the triangular prism shown below, which lines are skew? select all t…
$\overrightarrow{ST}$ and $\overrightarrow{VW}$, $\overrightarrow{SU}$ and $\overrightarrow{WX}$, $\overrightarrow{SU}$ and $\overrightarrow{VW}$
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analyze the diagram. which quadrilateral is a kite?
The quadrilateral \(ABCD\) is a kite.
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in the cube shown below, which lines are parallel? select all that appl…
$\overline{MN}$ and $\overline{GH}$, $\overline{GK}$ and $\overline{LM}$
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in the cube shown below, which lines are parallel? select all that appl…
We need to analyze each pair of lines based on the above - mentioned properties of parallel lines in a cube. Without seeing the specific labels of the cube's vertices clearly in t…
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in the cube shown below, which lines are skew? select all that apply. l…
$\overleftrightarrow{EI}$ and $\overleftrightarrow{GH}$, $\overleftrightarrow{IJ}$ and $\overleftrightarrow{CF}$
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which transformation or set of transformations will map a point (x, y) …
A. a dilation of scale factor 2 through the origin followed by a translation of right 1 unit
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10 complétez chaque énoncé relatif aux églises protestantes. a) léglise…
10. a) L'Église a été fondée par un moine allemand. 11. Elles croient à la prédestination., Elles contestent l'autorité du pape., Elles critiquent certaines pratiques de l'Église …
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answer attempt 2 out of 2 area = units² submit answer
96
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in the triangular prism shown below, which lines are parallel? select a…
QR and TU, PS and QT
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7. robyn made a solid figure with unit - cubes, as shown below. she add…
D. 180
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line segment $overline{cd}$ is the perpendicular bisector of line segme…
A. $m\angle EFA = m\angle EFB = 90^{\circ}$ by definition of perpendicular so $\angle EFA\cong\angle EFB$, $\overline{AF}\cong\overline{BF}$ by the definition of mid - point, $\tr…
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radius: 6 mm diameter: 12 mm area: radius: diameter: 24 cm
Area: $113.04$ $mm^{2}$ (approx), Radius: $12$ cm
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a new sidewalk will be 5 feet wide, 140 feet long, and filled to a dept…
$6.5$
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in the rectangular prism shown below, which lines are skew? nr and op n…
$\overleftrightarrow{RS}$ and $\overleftrightarrow{NO}$