Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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b. a rectangular prism that is 8 cm by 10 cm by 30 cm we know
$2400$ $cm^{3}$
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what is the value of c? c = □°
23
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2. calculate the volume of the following prisms and cylinders. round to…
$60$ in³
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question identify two segments that are marked congruent to each other …
$\overline{GK}$ is congruent to $\overline{KI}$
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lesson 4: drilling for understanding 1. most food products are sold in …
1. A bag of popcorn. The packaging has a lot of empty space to prevent the popcorn from getting crushed and also to make the package look more voluminous. 2. A can of Pringles. Th…
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question identify a pair of segments that are marked perpendicular to e…
$\overline{QO}$ is perpendicular to $\overline{PT}$
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identify a pair of segments that are marked perpendicular to each other…
$QO$ is perpendicular to $PT$
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geometry vocabulary assessment part a - visual recognition (images) dir…
1. Intersecting lines 2. Parallel lines cut by a transversal 3. Perpendicular lines 4. Supplementary angles 5. Distance formula 6. Angle 7. Remote interior angles
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point g is located at (5, -2). determine the coordinates of the image a…
Coordinates after 180 - degree rotation: $(-5,2)$ Coordinates after translation: $(-7,3)$
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identify two segments that are marked congruent to each other on the di…
$\overline{OQ}$ is congruent to $\overline{NQ}$
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2. in the space provided, give an example of a referent you might use t…
a. A cubic - yard dumpster b. A 50 - gallon plastic tote c. A 2 - liter soda bottle d. A large suitcase
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identify a pair of segments that are marked perpendicular to each other…
$\overline{TW}$ is perpendicular to $\overline{UX}$
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question determine if triangle d e f and triangle g h i are or are not …
The triangles \(\triangle DEF\) and \(\triangle GHI\) are not similar.
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determine if triangle stu and triangle vwx are or are not similar, and,…
The triangles $STU$ and $VWX$ are similar by the SAS (Side - Angle - Side) similarity criterion.
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what is the value of x?
# Explicación: ## Paso 1: Identificar el ángulo complementario Los ángulos adyacentes en una recta recta suman 180°. Aquí, $x + 73^{\circ}=180^{\circ}$. ## Paso 2: Resolver para $…
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determine if triangle nop and triangle qrs are or are not similar, and,…
The triangles $NOP$ and $QRS$ are similar by the Side - Angle - Side (SAS) similarity criterion.
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the midpoint of $overline{ab}$ is $m(6,2)$. if the coordinates of $a$ a…
$(5,8)$
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determine if triangle ijk and triangle lmn are or are not similar, and,…
not similar
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what is m∠cbd?
# Explicación: ## Paso 1: Identificar ángulos relacionados Sabemos que ∠CBE es un ángulo recto de 90°. ## Paso 2: Usar la relación de ángulos Como ∠CBE = ∠CBD+∠DBE y ∠DBE = 59°, e…
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what is the complement to a 26° angle?
$64°$
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find the midpoint of the segment with the following endpoints. (2,1) an…
$(6,3.5)$
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what is the value of x? (8x - 10)° 110°
# Explicación: ## Paso 1: Aplicar propiedad de ángulos opuestos por el vértice Los ángulos opuestos por el vértice son iguales. Entonces, \(8x - 10=110\). ## Paso 2: Resolver la e…
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what is the value of x?
$x = 50$
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items 11 - 15. lines a, b, c and d intersect as shown. 11. which pair o…
B. \(a\) and \(c\) ### 12. What is \(x\)?
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what is the value of x?
$x = \frac{40}{7}$
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what is the ratio of circles to total shapes in each row below:
Row U: $\frac{1}{2}$ Row V: $\frac{3}{7}$ Row C: $\frac{1}{5}$ Row L: $\frac{4}{5}$ Row G: $\frac{1}{6}$
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2. using the picture of a ruler below, determine the measurements of ea…
a. 11.2 cm b. 12.7 cm c. 14.8 cm d. 15.8 cm
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132° (3x + 36)° 54° what is the value of x? ©2016 megan wallen (\math w…
# Explicación: ## Paso 1: Aplicar la propiedad de ángulos opuestos por el vértice Los ángulos $(3x + 36)^{\circ}$ y $54^{\circ}$ son ángulos opuestos por el vértice, entonces son …
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which of the following options is a pair of alternate exterior angles? …
$\angle1$ and $\angle9$
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what is the value of x? 73° x°
# Explicación: ## Paso1: Saber que la suma de ángulos es 90°. $73^{\circ}+x^{\circ}=90^{\circ}$ ## Paso2: Despejar x. $x = 90 - 73$ # Respuesta: $x = 17$
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what is the value of x?
$x = 103.5$
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find the measure of the missing angles. answer attempt 1 out of 2 d = e…
# Explicación: ## Paso 1: Encontrar el ángulo \(d\) Los ángulos verticales son iguales. El ángulo opuesto a \(d\) se forma con los ángulos de \(69^{\circ}\) y \(32^{\circ}\). Ento…
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fill in the blank with the correct term. (1 point) the of a conditional…
converse
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part 1 - matching corresponding parts of congruent triangles. use 3 col…
Congruent Sides: $\overline{CB}\cong\overline{FE}$, $\overline{BA}\cong\overline{ED}$, $\overline{AC}\cong\overline{DF}$ Congruent Angles: $\angle C\cong\angle F$, $\angle B\cong\…
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17. if m∠2 = 125°, m∠12 = 37° and m∠18 = 102°, find the measure of each…
a. $m\angle1 = 55^{\circ}$ b. $m\angle3 = 125^{\circ}$ c. $m\angle4 = 55^{\circ}$ d. $m\angle5 = 55^{\circ}$ e. $m\angle6 = 125^{\circ}$ f. $m\angle7 = 55^{\circ}$ g. $m\angle8 = …
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question find the midpoint of the segment with the following endpoints.…
$(3.5,5.5)$
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the coordinate plane and equations of lines reading a point in the coor…
$(6,7)$
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question find the midpoint of the segment with the following endpoints.…
$(-7,-2.5)$
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how far is a 100 - meter tall object if it makes an angle of 2 degrees …
# Explicación: ## Paso1: Aplicar la tangente trigonométrica Sabemos que $\tan(\theta)=\frac{altura}{distancia}$. Aquí, $\theta = 2^{\circ}$ y la altura es 100 metros. Entonces, $\…
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from unit 1, lesson 2 in the construction, a is the center of one circl…
B. CB
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four quadrant graphing puzzle sequence of points with a line. (-6,-2), …
The graph is created by plotting each point in the given sequences on the four - quadrant graph and connecting the points within each sequence with a line.
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give the location of madrid as an ordered pair (x, y).
$(-8,-6)$
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find the midpoint of the segment with the following endpoints. (9,8) an…
$(7,4.5)$
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29° 112° what is the value of x?
$x = 83$
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read the passage. making towers bird - friendly the lights on tall comm…
To save birds, communication towers have begun using blinking lights.
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what is the value of x? (7x)° 40°
# Explicación: ## Paso1: Aplicar la propiedad de ángulos opuestos por el vértice Los ángulos $(7x)^{\circ}$ y $40^{\circ}$ son ángulos opuestos por el vértice, entonces son iguale…
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an angle measures 00° more than the measure of its complementary angle.…
15°, 75°
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find the volume of each solid. a. a cylinder with radius 4 inches and h…
# Explicación: ## Paso 1: Fórmula del volumen del cilindro El volumen $V$ de un cilindro se calcula con la fórmula $V=\pi r^{2}h$, donde $r$ es el radio y $h$ es la altura. ## Pas…
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height = tan(angle) * distance what is the height of the building? 45 m…
10 m
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the importance of japans cherry blossoms in the northeastern united sta…
Americans appreciate the colorful leaves of fall, but the Japanese view the cherry blossoms of spring as part of their culture.
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solving two - step equations color - by - number name: glenda solve the…
1. A. 2 2. B. 6 3. C. 6 4. D. 3 5. C. 2 6. A. 4 7. E. 15 8. B. 2 9. C. 2 10. A. $\frac{5}{2}$ 11. B. 6 12. D. 16 13. A. 2 14. D. $\frac{4}{5}$ 15. D. 4
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use what youve learned about similar triangles to find the height of th…
C. h = 20 ft
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from unit 1, lesson 2 here is a diagram. starting with two marked point…
1. Set compass width as AB. 2. Draw circles centered at A and B. 3. Connect intersection points C, D with A and B using straight - edge.
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these two triangles are similar and proportional. what is the measure o…
# Explicación: ## Paso 1: Establecer la proporción Dado que los triángulos son similares, $\frac{BC}{AC}=\frac{RS}{QS}$. Sustituyendo valores, $\frac{7}{2}=\frac{m}{6}$. ## Paso 2…
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1. each small square represents 1 square centimeter. a. sketch and labe…
# Explicación: ## Paso 1: Fórmula del volumen del cilindro El volumen de un cilindro se calcula con la fórmula $V=\pi r^{2}h$, donde $r$ es el radio y $h$ es la altura. ### a. Cil…
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what is the value of x? x° 112°
# Explicación: ## Paso1: Aplicar el hecho de ángulos opuestos por el vértice Los ángulos opuestos por el vértice son iguales. Aquí, el ángulo $x$ y el ángulo de $112^{\circ}$ son …
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question find the midpoint of the segment with the following endpoints.…
$(3,-\frac{7}{2})$
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unit 3 lesson 2 practice problems 1. each small square represents 1 squ…
1. **Respuesta para la pregunta de la rotación de la figura bidimensional (parte 1 del problema):** - **a. Sketch (dibujo):** - Al rotar una figura bidimensional rectangular alred…
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multiple - choice question congruence means same measure different meas…
A. same measure
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warm up: do these triangles appear to be congruent? why or why not? wha…
We can measure the side lengths and angles of the two triangles and apply congruence criteria like SSS, SAS, ASA, AAS or HL to determine if they are congruent.
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part 1 (1 point) the graph below illustrates the demand and supply for …
Part 1: The equilibrium price (where the two curves intersect) Part 2: Calculate consumer surplus using triangle - area formula for the area above price and below demand curve at …
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what is the value of x?
# Explicación: ## Paso1: Identificar la relación angular Sabemos que el ángulo recto mide 90°. Entonces, 2x + 32 = 90. ## Paso2: Resolver para x Restamos 32 de ambos lados: 2x=90 …
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open - ended question using the diagram, copy down the notes. what can …
Vertical angles are congruent, that is, they have equal angle measures.
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point n lies on $overline{lm}$ such that $ln:mn$ is $4:5$. graph n.
Locate the point \(N\) approximately at \((9.56,11)\) on the given coordinate - plane.
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point n lies on lm such that ln:mn is 4:5. graph n.
The coordinates of point \(N\) are approximately \((9.56,11.44)\). To graph \(N\), locate the point on the coordinate - plane with these \(x\) and \(y\) values.
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1. practice. is there enough information to determine if the triangles …
The triangles \(\triangle ATC\) and \(\triangle FHE\) are congruent by the ASA (Angle - Side - Angle) congruence criterion.
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which of the following options is a pair of alternate interior angles? …
$\angle3$ and $\angle12$
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identify the transversal for the angle pair below and classify the angl…
transversal: c; alternate interior angles
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the rule $r_{y - axis} \\circ r_{0,90\\circ}(x,y)$ is applied to $\\tri…
4
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plot the point on this function with an x - value of - 1.
The point is $(-1,2)$
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the rule $r_{y - axis}circ r_{0, 90}(x,y)$ is applied to $\triangle abc…
(Without seeing the actual transformation results of the options, we can't give a specific option number. But the above steps show how to solve the problem. If you provide more de…
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hawa is flying a kite, holding her hands a distance of 3.75 feet above …
$62.9$ feet
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which composition of transformations maps figure efgh to figure efgh? a…
a reflection across line k followed by a translation down
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find the measure of angle 7.
$78$
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find the measure of the interior angle at i using the diagram below.
\(74^{\circ}\)
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figure wxyz is transformed using the rule $r_{y - axis}circ t_{- 4,2}(x…
(3, 8)
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trapezoid. there are two paths of equal length on the east and west sid…
60°
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solve for x. round to the nearest tenth of a degree, if necessary.
\(43.6^{\circ}\)
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a composition of transformations maps △xyz to △xyz. the first transform…
a reflection across line \(m\)
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multiple choice circle the best answer, and write the letter in the bla…
1. D. all of the above 2. C. party he or she supports 3. D. all of the above 4. A. Congress 5. D. all of the above
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if the point (x, y) is in quadrant i, which of the following must be tr…
$x>0$ and $y > 0$
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if x < 0 and y > 0, where is the point (x, y) located? quadrant i quadr…
B. Quadrant II
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which rule describes the composition of transformations that maps △jkl …
$R_{0,90^{\circ}}\circ T_{0,-2}(x,y)$
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if x < 0 and y = 0, where is the point (x, y) located? on the x - axis …
on the x - axis
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point p lies on (overline{no}) such that (np:op) is (1:3). graph p.
The coordinates of point \(P\) are \((-3,-6)\). To graph \(P\), start at the origin \((0,0)\), move 3 units to the left along the \(x\) - axis and 6 units down along the \(y\) - a…
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question 6 1 pts find the number of distinguishable permutations of the…
40320
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the president and vice president use pages 29 and 30 of the student tex…
1. chief of state 2. four 3. Senate 4. executive 5. President 6. diplomacy 7. Commander in Chief 8. bills 9. Vice President 10. tied
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given the following conditional statement, select the answer choices fr…
Biconditional statement: Two angles are supplementary if and only if the sum of their measures is 180°. Symbolic representation: p ↔ q
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if $\triangle qrscong\triangle mnp$, $qr = 11$, $qs = 15$, $mp = 2x + 1…
$x = 7$, $y = 4$
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if the vertex of a parabola is (2, -3), what is the axis of symmetry? y…
# Explicación: ## Paso1: Recordar la propiedad de la parábola La eje de simetría de una parábola con vértice $(h,k)$ es $x = h$. ## Paso2: Identificar los valores de h y k El vért…
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decide whether the following conjecture is true or false. \if two angle…
False
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if △def≅△jkl, de = 18, ef = 23, df = 9x - 23, jl = 7x - 11, and jk = 3y…
$x = 6,y = 13$
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2. find the length of bc to the nearest tenth of a centimetre.
$13.3$ cm
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analyze the diagrams. which quadrilateral is a trapezoid?
The third quadrilateral (labelled \(ABCD\)) is a trapezoid.
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two mathematicians walk into a bar. the coach says, if two angles are c…
A pair of vertical angles, A pair of alternate - interior angles, A pair of alternate - exterior angles
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solve for x. x = save answer
25
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geometry - unit 1b summative - logic & venn diagrams (sy 2025 - 2026) d…
1) Therefore, if two angles form a linear pair, then they are supplementary; Justification: Law of Detachment 2) Therefore, if two angles are supplementary, then the sum of their …
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the consecutive exterior angles theorem states, if two lines intersecte…
If two lines intersected by a transversal are parallel, then the consecutive exterior angles are supplementary. The converse of this is: If consecutive exterior angles are supplem…
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solve for x. (3x - 11)° (2x + 16)° x = save answer
$x = 27$
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a diagram is shown. related to ∠ega and ∠fhd. if two parallel lines are…
1. Corresponding angles are congruent. 2. $\angle EGA$ and $\angle FHD$ are corresponding angles. 3. $\angle EGA\cong\angle FHD$