Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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statements reasons 1. ∠abc is a right angle 1. given 2. ∠dbc is a strai…
two - column proof
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1 fill in the blank 1 point what is the equation of the line?
$y = - 3$
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find the value of each variable in the figure on the right. x = 82 (sim…
98
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determine whether the statement is a good definition. if not, give a sp…
13. No, counterexample: rhombus 14. Yes
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what is m∠phj? 100° 120° 140° 160°
100°
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which line segment is drawn in the figure? ○ (overline{yz}) ○ (overline…
\(\overline{WZ}\)
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1. consider the given line. a. use a slope triangle to find the slope o…
a. The slope of the line using the slope - triangle method is - 1. b. The slope of the line using the slope formula is - 1.
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in the diagram, which angles form a linear pair? select three options. …
$\angle{RST}$ and $\angle{TSU}$, $\angle{TSU}$ and $\angle{USV}$
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6. determine the volume of the figure below rounded to the nearest hund…
Question 6: Approximately $18.85$ $cm^{3}$ Question 7: Approximately $6333.49$ $cm^{3}$ Question 8: Approximately $16336.32$ pounds Question 9: Approximately $1.42$ grams per $cm^…
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give the coordinates of the image. r(270°,0)(wxyz) for w(4, - 2), x(7,3…
# Explicación: ## Paso 1: Fórmula de rotación de 270 grados en el origen Para rotar un punto $(x,y)$ 270 grados en el origen en el sentido de las agujas del reloj, la fórmula es $…
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as shown in the figure below, the side length of square abcd is 8. on e…
C. 40
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find the value of x that makes m||n. 140° (2x - 4)°
\(x = 72\)
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find the value of x that makes m || n.
\(x = 90\)
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give the coordinates of the image. r(270°,0)(wxyz) for w(4, - 2), x(7,3…
$(-2,-4)$
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modeling real life the locations of several sites in a forest are shown…
7.4 km
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find the value of y.
\(45^{\circ}\)
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find m∠1 and m∠2. justify each answer. 12. 13. 14. algebra find the val…
In problem 12: $m\angle1 = 75^{\circ}$, $m\angle2 = 75^{\circ}$ In problem 13: $m\angle1 = 60^{\circ}$, $m\angle2 = 120^{\circ}$ In problem 14: $m\angle1 = 100^{\circ}$, $m\angle2…
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modeling real life the locations of several sites in a forest are shown…
a. $5.8$ km b. $8.6$ km
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find the value of x that makes m||n. x = explain your reasoning.
\(x = 27\)
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approximate the distance between (-6, 5) and (-4, -6) to the nearest te…
$11.2$
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approximate the distance between (1,2) and (7,6) to the nearest tenth. …
$7.2$
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complete the steps to find the value of x. 128° 2x = x =
\(2x = 128\) \(x = 64\)
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revisión de la unidad de transformación de cp describe la simetría o si…
# Explicación: ## Paso 1: Comprender la simetría rotacional La simetría rotacional es cuando una figura se ve igual después de una rotación de menos de 360°. ## Paso 2: Analizar l…
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revisión de la unidad de transformación de cp ¿cuántas lineas de simetr…
2
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1. find the volume of the right - circular cone given the dimensions r …
1. $4\pi$ ft³, approximately 13 ft³ 2. $\frac{4000\pi}{3}$ ft³, approximately 4189 ft³ 3. $\frac{1792}{3}$ in³, approximately 597 in³ 4. 28 in³ 5. 27 ft²
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1. complete the table by reading the circle graph. it is in percent cir…
1. | Subject | Percent of students who said it was their favourite | |--|--| | Math | 25% | | Phys. Ed. | 20% | | Science | 15% | | English | 10% | 2. a) 90°, east b) 90°, south c…
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1. find the volume of the right circular cone given the diameter (d = 8…
In terms of $\pi$: $\frac{4000}{3}\pi$ cubic feet; To the nearest cubic foot: $4189$ cubic feet
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consider the following proof of the base angles theorem. which statemen…
Then, by the definition of an angle bisector, I know that $\angle ABD\cong\angle CBD$
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cp transformation unit review is it possible for a figure to have refle…
# Explicación breve: Un objeto tiene simetría de reflexión cuando se puede dividir en dos mitades iguales a través de una línea de simetría. Un objeto tiene simetría rotacional cu…
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8. if a || b, m∠2 = 63°, and m∠9 = 105°, find the measure of each angle…
a. \(m\angle1 = 117^{\circ}\) b. \(m\angle3 = 117^{\circ}\) c. \(m\angle4 = 63^{\circ}\) d. \(m\angle5 = 105^{\circ}\) e. \(m\angle6 = 63^{\circ}\) f. \(m\angle7 = 75^{\circ}\) g.…
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8 si a - b = 2, que vaut a² - 2ab + b² + a - b? réponse: 9 on retire un…
### Explanation: ## Étape 1: Simplifier l'expression $a^{2}-2ab + b^{2}+a - b$ On sait que $a^{2}-2ab + b^{2}=(a - b)^{2}$. Donc l'expression devient $(a - b)^{2}+(a - b)$. ## Éta…
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the diagram shows r(90°,0)(abcd). what are the coordinates of abcd? the…
El punto A es (2,1), el punto B es (-1,3), el punto C es (-4,1) y el punto D es (-1,-1)
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identify all the numbered angles that are congruent to the given angle.…
7. Congruent to the 65° angle: ∠1, ∠3, ∠5, ∠7 8. Congruent to the 51° angle: ∠1, ∠3, ∠5, ∠7 9. Congruent to the 120° angle: ∠1, ∠3, ∠5
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8. if a || b, m∠2 = 63°, and m∠9 = 105°, find the measure of each angle…
# Explicación: ## Paso 1: Identificar ángulos opuestos por el vértice Los ángulos opuestos por el vértice son iguales. Entonces, $m\angle1 = m\angle3$ y $m\angle2=m\angle4$, $m\an…
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reflection across the x - axis, translation 5 units down, reflection ac…
# Explicación: ## Paso 1: Analizar la reflexión La reflexión del rectángulo azul sobre el eje - x cambia el signo de las coordenadas y de sus vértices. Luego, la traslación de 5 u…
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two workers paint lines for angled parking spaces. one worker paints a …
Yes, lines $h$ and $k$ are parallel because $\angle3$ and $\angle1$ are alternate exterior angles, and since alternate exterior angles are congruent, the lines $h$ and $k$ are par…
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given: △abc with de || ac prove: m∠a + m∠abc + m∠c = 180° identify mist…
Statement 2 has a mistake. It should say $\angle DBA\cong\angle A;\angle EBC\cong\angle C$
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which lines are parallel? justify your answer. ae and hm are parallel b…
converse corresponding angles postulate
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cp transformation unit review rotate △pwr 270° about the origin, (0,0).…
No se pueden determinar los gráficos completos en el texto, pero el triángulo resultante estará rotado 270° en el sentido de las agujas del reloj alrededor del origen, lo que sign…
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which lines are parallel? justify your answer. are parallel by the ah a…
AE and HM are parallel by the corresponding - angles postulate.
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sylvie has started a proof of the triangle angle sum theorem. which ans…
$m\angle1 + m\angle3 + m\angle2 = 180^{\circ}$ by the definition of a straight angle. Finally, $m\angle5 + m\angle3 + m\angle4 = 180^{\circ}$ by substitution.
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7. if p || q, m∠7 = 131°, and m∠16 = 88°, give the measure of each angl…
a. $m\angle1 = 131^{\circ}$ b. $m\angle2 = 49^{\circ}$ c. $m\angle3 = 131^{\circ}$ d. $m\angle4 = 49^{\circ}$ e. $m\angle5 = 131^{\circ}$ f. $m\angle6 = 49^{\circ}$ g. $m\angle8 =…
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9. $\frac{3}{10}$ cm $\frac{1}{2}$ cm
$\frac{3}{20}\text{ cm}^2$
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6. name each angle pair as corresponding, alternate interior, alternate…
a) Corresponding; $k$ b) Alt. Ext.; $m$ c) Adjacent; $l$ d) Corresponding; $m$ e) Adjacent; $j$ f) Alt. Int.; $l$
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how can you compare the numbers? use >, <, or =. 3. 155 〇 317 4. 690 〇 …
# Explicación: ## Paso1: Comparar 155 y 317 155 es menor que 317, entonces 155 < 317. ## Paso2: Comparar 690 y 609 690 es mayor que 609, entonces 690 > 609. ## Paso3: Comparar 298…
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youve found that 82° + 53° = 135°. now, what equation can you write if …
The third - angle is $45^{\circ}$ and the equation to find it is $82 + 53+x=180$.
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the solid below is made from cubes. find its volume.
$45$
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find the value of x. then find the measure of each labeled angle. x = 1…
\(x = 10\), the measure of the \(14x^{\circ}\) angle is \(140^{\circ}\), and the measure of the \(4x^{\circ}\) angle is \(40^{\circ}\)
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not quite. if the exterior angle is 98°, and the exterior and interior …
$82^{\circ}$
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7. it is given that the ratio of the lengths of the upper and lower bas…
7. \(\frac{5}{7}\) 8. A. \(AB = AD\) and \(AC = BD\)
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example 1 identify the angle pair as congruent or supplementary. give y…
# Explicación: ## Paso 1: Ángulos adyacentes suplementarios Los ángulos adyacentes en una recta recta suman 180°. Dado que \(m\angle1 = 65^{\circ}\), y \(\angle1\) y \(\angle2\) s…
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given that the top and bottom sides are parallel, find the value of x. …
\(x = 105\), \((x - 30)^{\circ}=75^{\circ}\)
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4 which of the following statements is true? a. a quadrilateral with eq…
D. A quadrilateral obtained by cutting two legs of an isosceles triangle with a line parallel to the base is an isosceles trapezoid. ### 5.
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solve for x in the triangle. round your answer to the nearest tenth.
$11.1$
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find m∠1 and m∠2 given that lines n and m are parallel. justify your an…
m∠1 = 65°, m∠2 = 65°
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find the value of y.
$y = 45$
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find the value of x in each figure. (1) (2) (3)
(1) \(x = 19\) (2) \(x = 9\) (3) \(x = 5\)
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4 traza líneas en las figuras a y b para separarlas en dos prismas rect…
# Explicación: ## Paso 1: Dividir la figura A en dos prismas rectangulares Podemos dividir la figura A en dos prismas rectangulares. Un primer prisma puede tener dimensiones 2 pul…
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the shape wxyz below is an isosceles trapezoid. what is the length of s…
7
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the shape mnop below is a rhombus. what is the length of side no? show …
$8$
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the circle below has center m. suppose that m kl = 122°. find the follo…
(a) $m\angle KML = 122^{\circ}$ (b) $m\angle KJL = 61^{\circ}$
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1. as shown in the figure, in a square abcd whose side length is 2, m i…
1. D. \(\sqrt{5}-1\) 2. D. A parallelogram with one angle being right angle is a square.
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part b: by degree the other type of circle graph is divided into 360 eq…
1. a) $45$, $45$ b) $90$, $90$, right - angle c) $180$, $180$ 2. a) North (N), East (E), South (S), West (W) b) $45$ c) Labeled as per compass - rose convention d) $90^{\circ}$ e)…
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triangle abc is located on three lines such that the vertices occur at …
Graph the lines as described above. The lines with slopes \(5\), \(\frac{3}{2}\) and \(-\frac{2}{3}\) will intersect pairwise to form \(\triangle A'B'C'\) because non - parallel l…
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the shape abcd below is a parallelogram. what is the length of side cd?…
$11$
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the triangles below are congruent and their corresponding parts are mar…
(a) $\angle A\cong\angle Y$, $\angle B\cong\angle Z$, $\angle C\cong\angle X$ (b) $\overline{AB}\cong\overline{YZ}$, $\overline{AC}\cong\overline{YX}$, $\overline{BC}\cong\overlin…
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the shape mnop below is a rectangle. what is the length of side no? (no…
8
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6. given that the length of the median of a trapezoid is 8cm and the le…
6. 5 7. C. 12
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the shape mnop below is a square. what is the length of side op?
5
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the shape abcd below is an isosceles trapezoid. what is the measure of …
$99^{\circ}$
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classify each figure as a line, ray, or line segment. then, show how to…
(a) Type: ray, How to write it: \(\overrightarrow{GH}\) (b) Type: line, How to write it: \(\overleftrightarrow{KJ}\) (c) Type: line segment, How to write it: \(\overline{ML}\)
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the shape mnop below is a rhombus. what is the measure of ∠o? (note tha…
$41^{\circ}$
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the shape w x y z below is a parallelogram. what is the measure of ∠w? …
\(137^{\circ}\)
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find the value of x.
$x = 48$
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value of x.
59
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the shape wxyz below is a parallelogram. what is the measure of ∠x? (th…
$140^{\circ}$
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classify each figure as a line, ray, or line segment. then, show how to…
(a) Type: line; How to write it: $\overleftrightarrow{DC}$ (b) Type: line segment; How to write it: $\overline{FE}$ (c) Type: ray; How to write it: $\overrightarrow{AB}$
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complete the activities below: a. concept squares. read the terms in th…
1. In the first square: - Word that doesn't belong: referendum - Relationship of other words: They are about electoral district management. 2. In the second square: - Word that do…
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the shape w x y z below is a parallelogram. what is the measure of ∠y? …
$138^{\circ}$
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3) 2 cm 2 cm 10 cm l v = 40 cm cu
# Explicación: ## Paso 1: Identificar la fórmula del volumen El volumen $V$ de un prisma rectangular se calcula como $V = L\times W\times H$, donde $L$ es la longitud, $W$ es el a…
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classify each figure as a line, ray, or line segment. then, show how to…
(a) line segment; $\overline{UT}$ (b) line; $\overleftrightarrow{QP}$ (c) ray; $\overrightarrow{RS}$
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volume of rectangular prism name: leryne date: october find the volume …
# Explicación: ## Paso1: Aplicar la fórmula del volumen La fórmula para el volumen $V$ de un prisma rectangular es $V = l\times w\times h$, donde $l$ es la longitud, $w$ es el anc…
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the shape mnop below is a parallelogram. what is the measure of ∠m? (no…
$32^{\circ}$
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3 if the perimeter of an isosceles trapezoid is 50cm and one of its leg…
3. \(13\) 4. \(11\) 5. D. \(26\mathrm{cm}\)
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the shape wxyz below is a parallelogram. what is the measure of ∠x? (no…
$133^{\circ}$
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ejemplo un granjero quiere saber cuánto grano llenará el recipiente par…
# Explanation: ## Paso1: Hallar el volumen del prisma D Multiplicar las dimensiones del prisma D. Las dimensiones son 8 pies × 5 pies × 3 pies. El volumen del prisma D se calcula …
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1. as shown in the figure, in square abcd, ae = ab. line segment de int…
1. A. \(45^{\circ}\) 2. D. \(AC = BD\) and \(AC\perp BD\)
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volume of rectangular prism find the volume of a rectangular prism? l×w…
# Explicación: ## Paso 1: Identificar la fórmula La fórmula para el volumen de un prisma rectangular es $V = L\times W\times H$, donde $L$ es la longitud, $W$ es el ancho y $H$ es…
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the shape wxyz below is a parallelogram. what is the measure of ∠x? (no…
133°
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name: lenyfer find the volume of a rectangular prism? 1) v = 4×3×9 v = …
# Explicación: ## Paso 1: Identificar la fórmula La fórmula para el volumen de un prisma rectangular es $V = L\times W\times H$, donde $L$ es la longitud, $W$ es el ancho y $H$ es…
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6 name each triangle based on its sides (equilateral, isosceles, or sca…
- Question 6: - First triangle: Isosceles, Acute - angled - Second triangle: Equilateral, Acute - angled - Third triangle: Scalene, Obtuse - angled - Question 7: d. 4 thousands, 8…
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10 which statement about the figure shown below is true? a) it has both…
d) It has both acute and obtuse angles
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su and vx are parallel lines. which angles are vertical angles? ∠str an…
$\angle STR$ and $\angle UTW$
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rt and uw are parallel lines. which angles are vertical angles? ∠uvx an…
∠UVX and ∠WVS
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the length of a rectangle is 11 m less than three times the width, and …
Width: 7 m, Length: 10 m
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the area of a rectangle is 28 m², and the length of the rectangle is 1 …
Width: $3.5$ m, Length: $8$ m
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the length of a rectangle is 5 yd less than twice the width, and the ar…
Width: \(5.5\) yd, Length: \(6\) yd
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find the y - intercept and the x - intercept of the line below. click o…
(a) y - intercept: 1 (b) x - intercept: 2
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km and np are parallel lines. which angles are supplementary angles? ∠n…
∠NOQ and ∠NOL
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find the value of c.
$143$