Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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construct arguments determine a valid conclusion from the given stateme…
Figure ABCD has all sides congruent, determined using the Law of Detachment
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find the value of b.
37
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if ∠1 is 70°, then ∠4 is how many degrees?
$70$
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6. for two right triangles to be congruent, which of the following must…
Their corresponding sides and angles must be equal in measure
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parallel lines and transversals i find the 1. understand the question 2…
False
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using the diagram, name the correct angle pair for: ∠1 and ∠7 alternate…
alternate exterior
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angle - angle - side corresponding vs. non - corresponding sides (aas -…
The non - included side must be corresponding.
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corresponding angles are _, supplementary complementary not related at …
D. congruent
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5. how is the area of a rectangle related to the area of a triangle? th…
A triangle with the same base and height as a rectangle has an area that is half of the rectangle's area.
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plot the point (-8, -5). click on the graph to plot a point. click a po…
The point $(-8,-5)$ is plotted on the coordinate plane by moving 8 units left from the origin along the x - axis and 5 units down along the y - axis.
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plot the point (-8, -9). click on the graph to plot a point. click a po…
Plot the point 8 units to the left and 9 units down from the origin.
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vertical angles are _. supplementary not related at all complementary c…
congruent
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parallel lines cut by a transversal angle relationships vertical which …
Angles C and D
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4. garry is making a temporary ramp from the ground to the top of his p…
a) 10 feet b) Approximately 10.68 feet c) Approximately $20.56^{\circ}$
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if ∠1 is 70°, then ∠8 is how many degrees?
C. 70
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angle - angle - side corresponding vs. non - corresponding sides (aas -…
Sí, los triángulos son necesariamente congruentes debido al criterio AAS de congruencia de triángulos.
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solve the triangle using the law of sines. (assume b = 8, ∠a = 50°, and…
$a\approx34.95$ $c\approx39.78$ $\angle B = 10^{\circ}$
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use the model to find 5 × 579. first, find the area of each rectangle. …
$2895$
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the graph shows the relationship between the volume of a rectangular pr…
3
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same side exterior angles are _________. supplementary complementary no…
supplementary
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solve for the value of m.
$m = 19$
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2 why is the straightedge of a ruler not the same as a line? the straig…
A line is an abstract, infinite, and thickness - less concept, while the straightedge of a ruler is a physical, finite - length object with thickness.
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angle-angle-side corresponding vs. non-corresponding sides (aas-c vs. a…
If the sides are corresponding, the triangles are congruent by the AAS congruence postulate. If the sides are non - corresponding, the triangles are not necessarily congruent.
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using the diagram, name the correct angle pair for: ∠1 and ∠3 linear pa…
Vertical Angles
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given m || n, find the value of x. (8x + 9)° 81°
\(x = 9\)
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parallel lines cut by a transversal angle relationships vertical which …
Angles A and B
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use the model to find 3 × 957. first, find the area of each rectangle. …
$2871$
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identify the hypothesis and conclusion of the conditional statement. (a…
H: Two angles are adjacent C: They have a common side
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pregunta las medidas de los ángulos exteriores de un octágono son 2x°, …
# Explicación: ## Paso 1: Recordar la suma de los ángulos exteriores de un polígono La suma de los ángulos exteriores de cualquier polígono es siempre 360°. Para un octágono, tamb…
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using the diagram, name the correct angle pair for: ∠1 and ∠4 same side…
linear pair
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graph x > 2
The correct graph is the one with a dashed vertical line at \(x = 2\) and the region to the right of this line shaded.
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which skier won the norway cross - country ski race? each ordered pair …
FREDDY NO REINS
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ee - lesson 3 - 2 ma.912.lt.4.3 write the biconditional statement, an a…
Conditional Statement: If an angle is a right angle, then its measure is 90°. Converse: If the measure of an angle is 90°, then it is a right angle.
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puntuación: 6/15 penalización: 1 turra pregunta las medidas de los ángu…
12
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complete the proof that ∠eif ≅ ∠gih. 1. m∠eif + m∠fig = 180° 2. m∠fig +…
$\angle EIF\cong\angle GIH$ because they have equal measures as shown by the linear - pair and equality properties.
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using the diagram, name the correct angle pair for: ∠13 and ∠9 correspo…
Corresponding
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ee - lesson 3 - 2 ma.912.lt.4.3 if two angles are a linear pair, then t…
Converse: If two angles are adjacent, then they are a linear pair. Inverse: If two angles are not a linear pair, then they are not adjacent. Contrapositive: If two angles are not …
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use the model to find 9 × 189. first, find the area of each rectangle. …
1701
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angle - angle - side non - corresponding side (aas - nc) move points e …
Yes, we can make a triangle that is a different size or shape than $\triangle ABC$ with AAS - NC. Because AAS - NC is not a congruence criterion and by changing the length of the …
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ee - lesson 3-2 ma.912.lt.4.3 identify the hypothesis and conclusion of…
Hypothesis: A prism has bases that are regular polygons Conclusion: It is a regular prism
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what is the slope of a line that is parallel to the line shown on the g…
C. $\frac{1}{4}$
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pregunta las medidas de los ángulos exteriores de un heptágono son: 4x°…
# Explicación: ## Paso 1: Recordar la suma de los ángulos exteriores de un polígono La suma de los ángulos exteriores de cualquier polígono regular o irregular es siempre 360°. ##…
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reglas de los polígonos medidas de los ángulos exteriores de un heptágo…
4a
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pregunta mostrar video mostrar ejemplos las medidas de los ángulos exte…
# Explicación: ## Paso 1: Recordar la suma de los ángulos exteriores de un polígono La suma de los ángulos exteriores de cualquier polígono es siempre 360°. Un heptágono tiene 7 l…
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use the statements to write a compound statement for the conjunction or…
$-3 - 2=-5$ is true; vertical angles are congruent is true; $p$ is true, and $q$ is true, so $p$ and $q$ is true.
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use the model to find 9 × 428. first, find the area of each rectangle. …
3852
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use the law of sines to find the indicated side x. (assume a = 11. roun…
$8.5$
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pregunta mostrar ejemplos las medidas de los ángulos exteriores de un h…
# Explicación: ## Paso 1: Recordar la suma de ángulos exteriores de un polígono La suma de los ángulos exteriores de cualquier polígono es siempre $360^{\circ}$. Entonces, para un…
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angle - angle - side corresponding side (aas - c) move points e until y…
No, because the AAS - C congruence criterion ensures that any triangle with the given two angles and the corresponding non - included side will be congruent to \(\triangle ABC\), …
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4. triangle with coordinates: p(2, -1), q(2, -3), r(4, -3). vector <-3,…
# Explicación: ## Paso 1: Definir la fórmula de traducción Para una traducción con vector $\langle a,b angle$, las coordenadas del pre - imagen $(x,y)$ se convierten en $(x + a,y …
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enter the ordered - pair for point a in the boxes.
(-2, 2)
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which statement best explains the relationship between lines cd and fg?…
They are not perpendicular because their slopes are not negative reciprocals. (None of the given options are completely correct based on the correct logic, but the correct concept…
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angle - side - angle (asa) move points f until you have a triangle. you…
Yes
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u1t3d5: angle pairs – the big problem! front side for points. back page…
\(m\angle a = 30^{\circ}\), reason: linear - pair angles are supplementary \(m\angle c = 40^{\circ}\), reason: linear - pair angles are supplementary \(m\angle d = 40^{\circ}\), r…
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a 680 - ft rope anchors a hot - air balloon as shown in the figure. (a)…
(a) $\theta=\sin^{-1}(\frac{h}{680})$ (b) $43.8$
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axis refers to the diameter of a circle. rotation around the center of …
rotation around the center of a fixed point.
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1) $delta abc$ has vertices $a(3,4), b(-5,2)$, and $c(1, - 4)$. determi…
# Explanation: ## Step1: Find mid - point of AB The mid - point formula for two points $(x_1,y_1)$[LLM SSE On Failure]
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pregunta utilizando diagonales de un vértice común, ¿cuántos triángulos…
# Explicación: ## Paso 1: Identificar el polígono El polígono es un cuadrilátero. ## Paso 2: Aplicar la fórmula Para un polígono de \(n\) lados, el número de triángulos formados a…
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puntuación: 6/15 penalización: 1 fuera pregunta ¿cuál es la medida de c…
$90^{\circ}$
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angle - side - angle (asa) move points f until you have a triangle. you…
No, you cannot make a triangle that is a different size or shape than $\triangle ABC$. This is because of the ASA (Angle - Side - Angle) congruence criterion. When two angles and …
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3. which measurement is the largest? circle your answer for each pair. …
(a) 14 mm (b) 1 km (c) 990 cm (d) 145 km (e) 3.4 cm (f) 10 km
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pregunta ¿cuál es la suma de los ángulos interiores del polígono que se…
# Explicación: ## Paso 1: Identificar el número de lados del polígono El polígono mostrado tiene 12 lados, es decir, \(n = 12\). ## Paso 2: Aplicar la fórmula para la suma de ángu…
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a 96 - ft tree casts a shadow that is 150 ft long. what is the angle of…
$32.6$
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rotate point c 90° counter - clockwise about the origin. enter the new …
$C'=(-4,1)$
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ángulos interiores de polígonos (nivel 1) progreso ¿cuál es la medida d…
# Explicación: ## Paso 1: Usar fórmula para ángulo interior de polígono regular La fórmula para el ángulo interior $\theta$ de un polígono regular de $n$ lados es $\theta=\frac{(n…
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5. between which two consecutive whole numbers does the length of the d…
The two consecutive whole numbers between which the length of the diagonal lies are 4 and 5, and the diagonal is closer to 4.
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pr and qs are diameters of circle t. what is the measure of sr? 80° 100…
$100^{\circ}$
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reflect point a over the dashed line. enter the new coordinates. a = (?…
$(0,-4)$
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pr and qs are diameters of circle t. what is the measure of sr? 80° 100…
\(100^{\circ}\)
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translate point a using (x + 4, y - 2). enter the new coordinates. a = …
$(1,2)$
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a 20 - ft ladder is leaning against a building. if the base of the ladd…
$69.5$ $19$
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pregunta ¿cuál es la medida de cada ángulo de un 19 - gono regular? si …
# Explicación: ## Paso 1: Usar fórmula para ángulo interior de polígono regular La fórmula para el ángulo interior $\theta$ de un polígono regular de $n$ lados es $\theta=\frac{(n…
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find the distance between the two points. (4,2) (1,-3)
34
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¿cuál es la medida de cada ángulo interior del polígono regular de la i…
$150^{\circ}$
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find the graph of the point (1, 3).
The left - hand graph is the correct one as it shows the point located 1 unit to the right of the origin on the x - axis and 3 units up on the y - axis.
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utilizando diagonales de un vértice común, ¿cuántos triángulos podrían …
# Explicación: ## Paso 1: Identificar el número de lados del polígono El polígono es un decágono, entonces $n = 10$. ## Paso 2: Aplicar la fórmula para el número de triángulos for…
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in the figure shown, point m is the mid - point of $overline{rs}$ and t…
D. 12.0
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find the graph of the point (3, -2).
The point $(3, - 2)$ is located 3 units to the right of the $y$ - axis and 2 units below the $x$ - axis. The correct graph is the one where the blue dot is at this position. (Base…
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question 22 (4 points) estimate the number of gallons of water that wil…
First, find the volume of the rectangular - prism tank. Given \(L = 32\) in, \(W = 12\) in, and \(H = 20\) in. The volume \(V = LWH=32\times12\times20 = 7680\) cubic inches. Since…
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¿cuál es la medida de cada ángulo de un pentágono regular? si es necesa…
# Explicación: ## Paso 1: Usar fórmula de ángulo interior de polígono regular La fórmula para el ángulo interior $\theta$ de un polígono regular de $n$ lados es $\theta=\frac{(n -…
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which statement best explains the relationship between lines fg and hj?…
They are not perpendicular because their slopes are not negative reciprocals.
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find the value of a. pythagorean theorem: $a^{2}+b^{2}=c^{2}$ a = $sqrt…
$\sqrt{21}$ m
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five points are shown on a number - line. information about some of the…
None of the given statements (A - E) are correct.
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find the value of c. pythagorean theorem: a² + b² = c² 11 m 7 m c = √?
$\sqrt{170}$
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side - angle - side (sas) move points f until you have a triangle. you …
No, you cannot make a triangle that is a different size or shape than \(\triangle ABC\) because of the Side - Angle - Side (SAS) congruence criterion. When two sides and the inclu…
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¿cuál es la suma de los ángulos internos del polígono que se muestra a …
180°
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find the length of the third side. if necessary, round to the nearest t…
10
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find a general form of an equation of the line through the point a that…
(a) $y - 3=0$ (b) $x + 6=0$
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find the value of c. pythagorean theorem: a^2 + b^2 = c^2 4 m 1 m c = \…
$\sqrt{17}$
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a company is designing a soup can that is in the shape of a right circu…
B. 3.3 cm
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move points f until you have a triangle. you can also move points a, b,…
# Explicación: ## Paso 1: Recuerda el teorema SSS El teorema SSS (Lado - Lado - Lado) establece que si los tres lados de un triángulo son congruentes a los tres lados de otro triá…
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pregunta ¿cuál es la suma de los ángulos interiores de un pentágono? re…
$540^{\circ}$
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what is the perimeter of rectangle hijk? perimeter = units
26
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given: (mangle bge + mangle cge=90^{circ}) prove: (mangle agd + mangle …
| Statement | Reason | |--|--| | 1. $m\angle BGE + m\angle CGE = 90^{\circ}$ | 1. Given | | 2. $\angle BGE\cong\angle AGD$ | 2. Vertical angles are congruent | | 3. $m\angle BGE =…
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what is the area of square vwxy? area = square units
400
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move points f until you have a triangle. you can also move points a, b,…
Yes, if three sides of one triangle are congruent to three sides of another triangle, the triangles are necessarily congruent.
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what is the perimeter of square bcde? perimeter = units
8
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what is the area of △fgh? area = square units
19
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question 15 (5 points) a farmer wants to know how many bags of fertiliz…
By using the estimated measurements, the farmer will not have enough bags of fertilizer to cover his field. He will need 5 more bags to cover the entire field.
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1. select the correct transformation for each diagram. translation refl…
1. First diagram: Translation; Second diagram: Reflection 2. a. (Assume coordinates as per grid observation, for example) If $A=(2,4)$, $A'=( - 2,4)$; if $L=(1,2)$, $L'=( - 1,2)$;…