Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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question 2 of 10 if the trapezoid below is reflected across the x - axi…
\((2,-8)\)
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if a cone is one - third the volume of a cylinder with the same base an…
For the formula of the cone's volume: \(V=\frac{1}{3}\pi r^{2}h\) (corresponds to option a). For the volume of the cone with \(r = 6\space cm\), \(h = 9\space cm\) and \(\pi=3.14\…
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decide if each shape is a trapezoid.
Trapezoids
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lizar la figura para completar cada parte. (a) nombrar el vértice de \\…
# Explicación breve: - **(a)** El vértice de un ángulo es el punto común a los dos lados del ángulo. En \(\angle DBC\), el vértice es \(B\). - **(b)** Los lados de un ángulo son l…
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translate the sentence into an equation or formula. the perimeter p of …
\(P=a + b + c\)
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¿cuáles pares de figuras son congruentes? ¿cuáles pares son semejantes?…
# Explicación breve: - **Figura 1 (triángulos):** No son congruentes (tamaños diferentes) pero son semejantes (mismos ángulos, proporciones). - **Figura 2 (círculos):** No son con…
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clasificar cada figura como una recta, semirrecta o segmento de recta. …
# Explicación: ## Paso 1: Definir tipos de líneas - Una recta se extiende indefinidamente en ambos sentidos. - Una semirrecta (rayo) se extiende indefinidamente en un solo sentido…
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clasificar cada figura como una recta, semirrecta o segmento de recta. …
# Explicación breve: - **Figura (a)**: Un segmento de recta tiene dos extremos. Aquí, los puntos \( S \) y \( R \) son los extremos. Se escribe \( \overline{SR} \). - **Figura (b)…
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por cada par de figuras a continuación, elija la relación entre ambas. …
- Primer par: Ninguna de estas - Segundo par: Reflexión - Tercer par: Traslación - Cuarto par: Ninguna de estas
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por cada par de figuras a continuación, elija la relación entre ambas. …
# Explicación breve: - **Primer par de figuras**: La figura no se mueve en línea recta (no es traslación), no es espejo (no es reflexión) y se gira (rotación). - **Segundo par de …
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siguientes triángulos son congruentes y sus partes correspondientes est…
(a) \( \angle A\cong\angle Y\), \( \angle B\cong\angle X\), \( \angle C\cong\angle Z\) (b) \( \overline{AB}\cong\overline{YX}\), \( \overline{AC}\cong\overline{YZ}\), \( \overline…
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understanding dilations and similarity continued 5 figure ( a ^ { prime…
a. To label the center of dilation: Draw lines connecting \(A\) to \(A'\), \(B\) to \(B'\), \(C\) to \(C'\), \(D\) to \(D'\), \(E\) to \(E'\), \(F\) to \(F'\). The intersection po…
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siguientes triángulos son congruentes y sus partes correspondientes est…
# Explicación: ## (a) Ángulos congruentes - **Paso 1: Identificar ángulo \( \angle A \)** Como los triángulos son congruentes y por la correspondencia de las marcas de ángulos, \(…
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calcula las propiedades de las figuras siguientes. figura a figura b fi…
- (a) Figura B, Figura C - (b) Figura C - (c) Figura A, Figura B, Figura C
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un pentágono regular se muestra a continuación. la recta g atraviesa un…
La reflexión con respecto a la recta \(g\)
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what is the length of the hypotenuse? if necessary, round to the neares…
\(8.8\)
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un dibujo a escala de un patio se muestra a continuación. en el dibujo,…
\(72\)
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what is the perimeter? if necessary, round to the nearest tenth. miles
\(17.1\)
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demonstrar que cada proposición es falsa dando un contraejemplo. (a) si…
(a) Contradicción: longitud \(= 4\), ancho \(= 4\) (b) Contradicción: \(m\angle1 = 90^{\circ}\), \(m\angle2 = 90^{\circ}\) (c) Contradicción: \(AB = 10\), \(BC = 30\) (d) Contradi…
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hallar el área de la figura. (todos los lados se unen en ángulos rectos…
\(72\)
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una cometa que vuela en el aire tiene una linea que mide 11 ft. su line…
\(4.6\) ft
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¿cuáles pares de figuras son congruentes? ¿cuáles pares son semejantes?…
# Explicación breve: - **Figura 1 (círculo y elipse):** No son congruentes (diferentes formas) ni semejantes (una es círculo, la otra elipse). - **Figura 2 (triángulos rectángulos…
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what is the perimeter? if necessary, round to the nearest tenth. millim…
\(18.9\)
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what is the perimeter? if necessary, round to the nearest tenth. yards
\(21.1\)
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hallar la longitud x.
\(x = 4\)
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what is the length of the hypotenuse? if necessary, round to the neares…
\(20\)
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what is the length of the missing leg? if necessary, round to the neare…
\(20\)
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given: ( overline{mn} ) is an angle bisector of ( angle jmk ) prove ( m…
2. Definition of Angle Bisector 5. Substitution 6. Simplify
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calculate the volume of a rectangular prism that has the following dime…
\(324\) cubic feet
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∠h and ∠g are complementary and ∠i and ∠g are complementary. complete t…
3. Definition of Complementary Angles; 4. Definition of Complementary Angles; 5. Substitution/Transitive; 6. Subtraction Property; 7. Definition of Congruence.
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which angles are vertical to \\( \\angle 10 \\)? select all that apply.
∠12
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which angles are complementary to each other? select all that apply. ∠3…
\(\angle1\) and \(\angle3\)
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m∠ioj=(x + 1)°,m∠jok=(5x - 9)°,m∠iok=64°,find each angle.
\(m\angle IOJ = 13^{\circ}\), \(m\angle JOK = 51^{\circ}\)
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write the coordinates of the vertices after a translation 14 units left…
\( J'(-17,-13) \), \( K'(-7,-13) \), \( L'(-7,-15) \), \( M'(-17,-15) \)
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fill in a two - column proof for the following conjecture. use the reas…
| Statement | Reason | |--|--| | 1. \( \angle1\) and \( \angle2\) are supplementary | 1. Given | | 2. \( m\angle1 = 112^{\circ}\) | 2. Given | | 3. \( m\angle1 + m\angle2=180^{\ci…
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planes x and y and points j, k, l, m, and n are shown how many planes c…
0
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use the number line to find the coordinate of the midpoint of (overline…
\(2.5\)
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plane x is shown which points are coplanar and noncollinear? points a a…
points A, B, and D
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solve the formula for the specified variable. ( a=\frac{1}{2} hleft(b_{…
\(b_1=\frac{2A}{h}-b_2\)
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points j and k lie in plane x how many lines can be drawn through point…
1
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planes and intersect which describes the intersection of plane and line…
C. point X
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give a pair of alternate exterior angles, a pair of alternate interior …
(a) \(\angle7\) and \(\angle1\) (b) \(\angle6\) and \(\angle2\) (c) \(\angle5\) and \(\angle3\)
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planes x and y and points c, d, e, and f are shown which statement is t…
The line that can be drawn through points D and E is contained in plane Y.
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which undefined geometric term is described as a location on a coordina…
point
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2. given: q is between p and r, r is between q and s, pr = qs. prove: p…
2. Segment Addition Postulate; 3. Given; 4. \(QR + RS=QS\); 5. Given; 6. Substitution/Transitive; 7. Subtraction Property of Equality; 8. \(PQ = RS\)
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which statements are true regarding undefinable terms in geometry? sele…
A. A point's location on the coordinate plane is indicated by an ordered pair, \((x,y)\). E. A plane consists of an infinite set of points.
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give a pair of alternate interior angles, a pair of alternate exterior …
(a) Alternate interior angles: \(\angle3\) and \(\angle5\) (b) Alternate exterior angles: \(\angle2\) and \(\angle8\) (c) Corresponding angles: \(\angle2\) and \(\angle6\)
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consider points r, s, and t. which statement is true about the geometri…
One plane can be drawn so it contains all three points
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which best describes the dimensions of a line? a line has zero dimensio…
B. A line has one dimension because it is made up of all points that extend infinitely in either direction
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explain why there must be at least two lines on any given plane
A plane is defined by at least three non - collinear points. Two points determine a line. So, to define a plane (using the point - line - plane postulates), since a plane needs at…
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classify each figure as a line, ray, or line segment. then, show how to…
(a) line, $\overleftrightarrow{RS}$; (b) ray, $\overrightarrow{QP}$; (c) line segment, $\overline{UT}$
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points c, d and g lie on plane x. points e and f lie on plane y. which …
C. The line that can be drawn through points C and G would lie in plane x, D. The line that can be drawn through points E and F would lie in plane y
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your answer is incorrect. classify each figure as a line, ray, or line …
(a) Type: line segment; How to write it: \(\overline{KJ}\) (b) Type: line; How to write it: \(\overleftrightarrow{LM}\) (c) Type: ray; How to write it: \(\overrightarrow{GH}\)
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x = m∠aob = m∠boc =
\(x = 12\) \(m\angle AOB=32^{\circ}\) \(m\angle BOC = 58^{\circ}\)
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write the coordinates of the vertices after a translation 4 units left …
Las coordenadas después de la traslación son \( U(-4,1) \), \( T(-4,7) \), \( S(-10,7) \), \( V(-10,1) \)
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6. given: ( l parallel m ; angle 4 cong angle 7 ) prove: ( angle 8 ) an…
| Statements | Reasons | |--|--| | \(l\parallel m\) | Given | | \(\angle7=\angle2\) | Alternate - interior angles theorem | | \(\angle4=\angle7\) | Given | | \(\angle4=\angle2\) |…
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use the number line to find the coordinate of the midpoint of ( overlin…
\(-2\)
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match the theorems below. if ∠j and ∠k are vertical angles, then ∠j = ∠…
- If \( \angle J\) and \( \angle K\) are vertical angles, then \( \angle J=\angle K\): Vertical Angles Theorem - If \( \angle O\) and \( \angle W\) form a right angle, then \( \an…
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in a geometry class, students are asked to describe the dimensions of a…
Stacy states that a plane has two dimensions because it is made up of an infinite number of lines.
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write the coordinates of the vertices after a translation 3 units right…
\( B'(-1,-8) \), \( C'(9,-8) \), \( D'(-1,-2) \)
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plane x contains point c. plane y contains points a and b. how many pla…
1
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points w, k, and b are collinear line ca and line yk intersect at point…
Point \( P \)
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find the missing length in the diagram.
\(5\) meters
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match the theorems below. if pq + rs = ps and rs = xy, then pq + xy = p…
1. Substitution Property 2. Reflexive Property 3. Transitive Property 4. Division Property of Equality 5. Segment Addition Postulate 6. Definition of Congruence 7. Addition Proper…
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5. given: ∠5 ≅ ∠6; ∠2 ≅ ∠4 prove: ∠11 and ∠14 are supplementary 1. 2. 3…
1. \( \angle5\cong\angle6\) 2. \( \angle2\cong\angle4\) 3. Converse of corresponding angles theorem 4. \( EF\parallel GH\) 5. Converse of alternate - interior angles theorem 6. Co…
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find the missing height in the diagram. 13 in. 5 in. 10 in. 6 in. ? 7 i…
\(5\) inches
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which diagram represents the postulate that states exactly one line exi…
The third diagram (the one where the line passes through both points \(A\) and \(B\))
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which undefined geometric term can be described as a one - dimensional …
B. line
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find the missing length in the diagram. 13 in. 5 in. 10 in. 6 in. ? 2 i…
\(5\) inches
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find the missing height in the diagram.
\(4\) ft
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quadrilateral o is a scaled copy of quadrilateral n. what scale factor …
\(1.6\)
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m∠aob=(42x + 8)° m∠boc=(13x + 7)° find m∠aob and m∠boc
\( m\angle AOB = 134° \) y \( m\angle BOC=46° \)
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refer to the number line. find the coordinate of point x such that the …
\(10\)
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polygon p is a scaled copy of polygon n. what scale factor takes polygo…
\(2.5\)
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look at this square: if the side lengths are quadrupled, then which of …
The new perimeter will be 4 times the old perimeter.
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4. given: prove: 1. 2. 3. 4. 5. 6. 5. given:
The proof is completed as above to show \(t\parallel v\) using the corresponding angles converse, alternate - interior angles converse, and the transitive property of parallel lin…
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the intersection of plane x and plane s will be point x ction of lines …
line \( CW \)
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look at this square: 33 in 33 in if the side lengths are tripled, then …
None of the given options (The new perimeter will be 3 times the old perimeter)
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look at this rectangle: if both dimensions are halved, then which of th…
None of the given options (The ratio of the new area to the old area should be \(1:4\)). But if we assume it's a formatting error and we use the formula \(A = lw\), and recalculat…
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the intersection of plane $\\mathcal{a}$ and plane $s$ will be the inte…
1. Line \( f \) 2. Point \( V \) 3. Line \( m \) and plane \( A \)
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look at this parallelogram: if both dimensions are tripled, then which …
None of the given options (The ratio of the new perimeter to the old perimeter will be \(3:1\))
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look at this square: 10 mm 10 mm if the side lengths are halved, then w…
None of the given options (The new perimeter will be \(\frac{1}{2}\) times the old perimeter) is correct based on the standard formula \(P = 4s\) for the perimeter of a square. Bu…
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look at this rectangle: if both dimensions are doubled, then which of t…
Neither of the given options is correct. The new area is \(4\) times the old area. But if we assume there was a mis - statement in the problem (maybe if it was a square with side …
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look at this parallelogram: if both dimensions are doubled, then which …
The new perimeter will be 2 times the old perimeter.
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look at this square: 8 in 8 in if the side lengths are doubled, then wh…
The new area will be 4 times the old area.
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look at this square: 1 in 1 in if the side lengths are quadrupled, then…
The new perimeter will be 4 times the old perimeter. But since the options are wrong (maybe a mis - print in the problem statement. If we assume the intended scaling factor was 2 …
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look at this square: 1 mm 1 mm if the side lengths are quadrupled, then…
The new area will be 16 times the old area.
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9. the perimeter of the rectangle is represented by 8y metres and the a…
a) Perimeter equation: \(8y = 4x + 28\), Area equation: \(6y+3=x^{2}+14x + 48\) b) Perimeter: \(16\) metres, Area: \(15\) square metres
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which statements are true based on the diagram? check all that apply po…
- B. Point \( H \) is not on plane \( R \) - D. Points \( C \), \( D \), and \( A \) are non - collinear - E. The line containing points \( F \) and \( G \) is on plane \( R \)
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find the missing side length. assume that all intersecting sides meet a…
\(8\) yd
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the three collinear points on line m are point is not on line m line(s)…
- The three collinear points on line \(m\) are \(J\), \(K\), \(W\). - Point \(P\) is not on line \(m\). - \(1\) line(s) could be drawn through points \(P\) and \(X\).
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4. given: \\( \\angle 1 \\cong \\angle 5 ; \\angle 3 \\cong \\angle 4 \…
| Statements | Reasons | |---|---| |1. \(\angle1\cong\angle5\)|1. Given| |2. \(\angle3\cong\angle4\)|2. Given| |3. \(r\parallel s\)|3. Corresponding angles converse| |4. \(\angle2…
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part 3: ángulos (20 points) find x, \\( \\angle cad \\), and explain wh…
\( x = 3\), \( \angle CAD = 21^{\circ}\) y \( \angle CAD\) es un ángulo agudo.
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brook states that the distance on the line is 4 units. caleb states tha…
- Brook: the distance between \(L\) and \(M\) - Vivian: the distance between \(M\) and \(N\)
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which statements are true regarding undefinable terms in geometry? chec…
A. A point has no length or width, B. A point indicates a location in a coordinate plane, E. A plane consists of an infinite set of lines, F. A line consists of an infinite set of…
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use a double - angle identity to find the exact value of the expression…
\(1\)
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find the volume of prism a.
\(100m^{3}\)
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match the building block of geometry to the statement that defines it d…
definition → a formal statement declaring the meaning of a word postulate → a mathematical statement taken as fact diagram → a visual tool representing mathematical ideas to be in…
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wx es una traducción de wx. escriba la regla de traducción. (x,y)→(x+□,…
\((x,y)\to(x + 13,y+5)\)
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what is the volume of the prism? 3 ft 25 square feet
75 cubic feet