Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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in order for c||d, how must ∠2 and ∠7 be related? how must ∠3 and ∠5 be…
$\angle2$ y $\angle7$ deben ser congruentes; $\angle3$ y $\angle5$ deben ser congruentes.
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malia makes a fabric design by drawing diagonals between opposite corne…
a. By the corresponding - angles theorem, if two lines and a transversal form corresponding angles that are equal, then the lines are parallel. Therefore, ∠1 must be equal to the …
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architecture for safety reasons, a construction worker wants to make su…
A. No, because the corresponding angles are congruent.
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write the coordinates of the point shown on the graph. the coordinates …
$(7,0)$
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naming lines, rays, segments, and angles select the indicated object in…
$\angle GAB$
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the triangular region shows the number of possible ounces of gold, x, a…
12 oz of gold and 20 oz of silver
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to make a puzzle, denzel draws lines a and b to cut along on a square p…
# Explicación: ## Paso 1: Identificar el teorema adecuado Para que la línea c sea paralela a la línea b, usamos el Converso del Teorema de Ángulos Correspondientes. Cuando dos lín…
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what is the slope of the line in the xy - plane?
2
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unit 2.2 classwork find the value of x for which m || n. the value of x…
# Explicación: ## Paso 1: Aplicar el teorema de ángulos alternos internos Para que \(m\parallel n\), los ángulos \((4x - 30)^{\circ}\) y \((3x + 14)^{\circ}\) son ángulos alternos…
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given a⊥d and b⊥d, complete the flow proof of the following. if two lin…
# Explicación: ## Paso 1: Definir ángulos rectos Dado que \(a\perp d\) y \(b\perp d\), por la definición de líneas perpendiculares, \(\angle1\) y \(\angle2\) son ángulos rectos y …
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given a⊥d and b⊥d, complete the flow proof of the following. if two lin…
# Explicación: ## Paso 1: Comprender los ángulos dados Se dan que $\angle1$ y $\angle2$ son ángulos rectos por la definición de líneas perpendiculares (ya que $a\perp d$ y $b\perp…
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what is the side length in inches of the largest square tile that can t…
3 inches
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part 1 of 3 given a⊥d and b⊥d, complete the flow proof of the following…
Para la primera casilla (donde se deduce que \(\angle1\) es un ángulo recto a partir de \(a\perp d\)): Definición de perpendiculares. Para la segunda casilla (donde se deduce que …
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given a||c and b||c, complete the flow proof of the following. if two l…
# Explicación: ## Paso 1: Datos dados Se dan \(a\parallel c\) y \(b\parallel c\). ## Paso 2: Aplicar teorema de ángulos correspondientes Como \(a\parallel c\), por el teorema de á…
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given a||c and b||c, complete the flow proof of the following. if two l…
# Explicación: ## Paso 1: Identificar los ángulos congruentes dados Se da que $\angle1\cong\angle3$ y $\angle2\cong\angle3$ por el Teorema de Ángulos Correspondientes. ## Paso 2: …
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the triangular region shows the number of possible ounces of pepperoni …
C. 25 pepperoni slices and 20 ham slices
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given a||c and b||c. complete the flow proof of the following. if two l…
# Explicación: ## Paso1: Analizar el primer caso Como $a\parallel c$, por el Teorema de los Ángulos Correspondientes, los ángulos correspondientes son congruentes. Entonces, $\ang…
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part 3 of 3 complete the flow proof of the converse of the alternate ex…
# Explicación: ## Paso 1: Datos dados Se tiene que $\angle1\cong\angle2$ (dado) y $\angle2\cong\angle3$ (por el Teorema de Ángulos Verticales). ## Paso 2: Aplicar propiedad transi…
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select the indicated object in the diagram. then, name the object. 1. s…
Ray $\overrightarrow{UR}$
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part 2 of 3 complete the flow proof of the converse of the alternate ex…
# Explicación: ## Paso 1: Identificar las premisas Tenemos $\angle1\cong\angle2$ (dado) y $\angle2\cong\angle3$ (por el Teorema de Ángulos Verticales). ## Paso 2: Aplicar la propi…
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part 1 of 3 complete the flow proof of the converse of the alternate ex…
# Explicación: ## Paso 1: Identificar ángulos verticales Los ángulos 2 y 3 son ángulos verticales. ## Paso 2: Aplicar el Teorema de Ángulos Verticales Según el Teorema de Ángulos …
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with the given information, can it be determined that m||n? write yes o…
A. Yes, the lines are parallel by the Converse of the Same - Side Interior Angles Postulate.
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naming lines, rays, segments, and angles select the indicated object in…
∠ZUX
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look at this diagram; if ik and ln are parallel lines and m∠hmj = 52°, …
$52$
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an isosceles triangle has an angle that measures 30°. what measures are…
30°, 120°, 75°
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one angle of a right triangle measures 65°. what is the measure of the …
25°
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a triangle has interior angle measures of 43°, 40°, and u. what is the …
97
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a triangle has interior angle measures of 38°, v, and 87°. what is the …
55
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a triangle has interior angle measures of a, 59°, and 59°. what is the …
$62$
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a triangle has interior angle measures of 43°, 44°, and u. what is the …
93
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a triangle has interior angle measures of 30°, 31°, and y. what is the …
119
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(a) use the calculator to find the area and perimeter of the court. mak…
Area: $4700$ square - feet Perimeter: $288$ feet (b) Area (c) Perimeter
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what is the students error? given ∠1≅∠2. by the vertical angles thm., ∠…
C. ∠2 y ∠3 no son ángulos correspondientes.
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(a) use the calculator to find the area and perimeter of the court. mak…
(a) Area: $3116$ square feet Perimeter: $234$ feet (b) Area (c) Perimeter
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5. let $p(1,2,3), q(1, - 1, - 2)$, and $r(0,0,0)$ be three points in $r…
(a) $-x + 5y-3z = 0$ (b) $\frac{\sqrt{35}}{2}$ (c) $x = 1-t,y = 2 + 5t,z = 3-3t$
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activity 3 math connection topic 1 lesson 4 similar figures figures tha…
Both Fran and Joe's calculations are correct. They both correctly used the property of similar figures (ratios of corresponding sides are equal) to find that the width $w$ of the …
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look at this shape: which image shows a reflection? a b c a b c
B.
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great basin region 2. describe the regions climate (weather and seasons…
2. Semi - arid to arid climate; cold winters (snow in higher elevations), hot summers, low precipitation. 3. Scarce water (intermittent streams, springs); wild plants (pine nuts),…
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write an indirect proof of the converse of the corresponding angles the…
# Explicación paso a paso: ## Paso 1: Comprender la suposición inicial Suponemos que \(t\) no es paralela a \(n\). Constructamos una línea \(m\) paralela a \(t\) que pasa por la i…
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a triangle has interior angle measures of u, 40°, and 63°. what is the …
$77$
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write an indirect proof of the converse of the corresponding angles the…
$ eq$
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find the value of x.
30
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three parallelograms are hinged at each vertex to create an arm that ca…
62
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find the value of x.
70
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naming lines, rays, segments, and angles select the indicated object in…
Ray $IW$
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find the value of x.
$43$
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in the figure below, m∠4 = 133°. find m∠1, m∠2, and m∠3.
$m\angle1 = 133^{\circ}$ $m\angle2 = 47^{\circ}$ $m\angle3 = 47^{\circ}$
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which statements are true about reflections? check all that apply. an i…
An image created by a reflection will always be congruent to its pre - image. An image and its pre - image are always the same distance from the line of reflection. If a point on …
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in the figure below, $mangle2 = 42^{circ}$. find $mangle1$, $mangle3$, …
$m\angle1 = 42^{\circ}$ $m\angle3 = 138^{\circ}$ $m\angle4 = 138^{\circ}$
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parallel and perpendicular lines study the map to complete each stateme…
$-\frac{4}{5}$
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type the correct answer in the box. spell all words correctly. point is…
E
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consider the reflection of parallelogram pqrs across the line of reflec…
If \(RR' = 14\), then \(RZ = 7\). If \(SX = 5\), then \(XS'=5\).
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three parallelograms are hinged at each vertex to create an arm that ca…
62
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prove: if two intersecting lines form two pairs of vertical angles, one…
D
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in the figure to the right, s||t. use the figure to answer the followin…
$\angle b$, $\angle c$
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select the correct answer. which statement best defines an angle? a. tw…
B. two rays that share a common endpoint called the vertex
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in the figure below, l || m. find x.
60
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in the figure below, l || m. find x.
39
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select the correct answer from each drop - down menu. as per an axiom i…
First drop - down: two Second drop - down: line
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students on a scavenger hunt are given the map shown and several clues.…
The clue means the northwest corner of Skyline Trail and Hood Path and the northeast corner of Skyline Trail and Mission Path.
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in the diagram below, tan θ = √3. what is the value of m?
$\frac{\sqrt{3}}{2}$
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which represents the value of c? law of sines: $\frac{sin(a)}{a}=\frac{…
\(c=\frac{(10)\sin(40^{\circ})}{\sin(45^{\circ})}\) (assuming the number in the numerator should be 10 instead of 3 as per the problem - setup and law of sines application) and am…
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in the figure below, (mangle1 = 38^{circ}) and (mangle2 = 36^{circ}). f…
$m\angle PQR = 74^{\circ}$
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- 2-1: exit ticket solve for x. 7x + 5 105° x = 10
$x = 10$
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find the measure of ∠1 in the figure, shown to the right. m∠1 = □°
$84$
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in the figure below, m∠1 = 85° and m∠gfj = 141°. find m∠2.
\(56\)
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in the figure below, m∠2 = 60°. find m∠1.
$30^{\circ}$
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select the correct answer from each drop - down menu. complete the sent…
absolute value of the difference
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- 2 - 1: exit ticket alternate exterior angles: same side interior angl…
Alternate Exterior Angles: congruent Same Side Interior Angles: supplementary Vertical Angles: congruent Corresponding Angles: congruent Alternate Interior Angles: congruent Same …
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select the correct answer from each drop - down menu. complete the sent…
distance
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select all the true statements about the angles in the figure. select a…
C. ∠1≅∠3 D. ∠4≅∠8 E. ∠3≅∠6
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given: m∠mxy = m∠kxy what is the conclusion reached by this proof? a. m…
D. \(m\angle JXY = m\angle NXY\)
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- 2-1: exit ticket which of the following is the correct set up for an …
\(180-(x + 112)=105\)
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in the figure below, m∠1 = 37°. find m∠2.
$143^{\circ}$
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which solution finds the value of x in the triangle below? sec 60° = 8/…
$x = 4$
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which solution finds the value of x in the triangle below? sec 60° = 8/…
$x = 4$
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in the figure, m is parallel to n and m∠4 = 118°. find the measures of …
$m\angle1 = 62^{\circ}$, $m\angle2 = 118^{\circ}$, $m\angle3 = 62^{\circ}$, $m\angle5 = 62^{\circ}$, $m\angle6 = 118^{\circ}$, $m\angle7 = 62^{\circ}$, $m\angle8 = 118^{\circ}$
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select the correct answer from each drop - down menu. given: ∠xob≅∠aox.…
The reason for step 4 (going from $2m\angle XOB = 180^{\circ}$ to $m\angle XOB = 90^{\circ}$) is the division property of equality.
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a napkin is folded into an isosceles triangle, triangle abc, and placed…
30 square centimeters
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law of sines: $\frac{sin(a)}{a}=\frac{sin(b)}{b}=\frac{sin(c)}{c}$ how …
No triangles can be formed.
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select the correct answer from each drop - down menu. given: ∠xob≅∠aox …
$m\angle XOB = 90^{\circ}$
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represents the missin dimension x. the area is less than 18 cm² type a …
$0 < x<3$
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triangle klm represents a section of a park set aside for picnic tables…
107 yards
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what is the value of sec θ given the diagram below? (-3, 6) θ -√5 -√5/2…
$-\sqrt{5}$
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congruent? yes no similar? yes no (repeated for four - sets of shapes)
Top - left: Congruent? No, Similar? No Top - right: Congruent? No, Similar? No Bottom - left: Congruent? No, Similar? Yes Bottom - right: Congruent? No, Similar? Yes
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the first figure of the sierpinski triangle has one shaded triangle. th…
\(\sum_{n = 1}^{15}1(3)^{n - 1}\)
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peter and vivian each wrote a proof for the statement: if ∠2 ≅ ∠3, then…
Peter used a direct proof because he used evidence (linear - pair theorem, transitive property of equality) to support the conclusion. Vivian used an indirect proof because the fi…
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find the value of each variable in the figure on the right. x = 72 (sim…
y = 108
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peter and vivian each wrote a proof for the statement: if ∠2 ≅ ∠3, then…
Peter used a direct proof because he used the linear - pair theorem and properties of equality to directly show that if ∠2≅∠3, then ∠1 is supplementary to ∠3. Vivian used a proof …
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which greek mathematician wrote the most definitive text on geometry, o…
C. Euclid
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which pairs of figures are congruent? which pairs are similar?
First pair: Congruent? No, Similar? Yes Second pair: Congruent? Yes, Similar? Yes Third pair: Congruent? No, Similar? Yes Fourth pair: Congruent? No, Similar? Yes
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given: line a and line b intersect prove: ∠1≅∠3 statements reasons 1. l…
D. 2. ∠1 is supplementary to ∠2; 2. linear pair theorem
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which professionals most directly use geometry in their work? a. accoun…
B. astronomers
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identifying similar or congruent shapes on a grid. which pairs of figur…
First pair: Congruent? No, Similar? No Second pair: Congruent? No, Similar? Yes Third pair: Congruent? No, Similar? Yes Fourth pair: Congruent? No, Similar? Yes
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type the correct answer in the box. spell all words correctly. consider…
pyramid
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select the correct answer from each drop - down menu. on this map, oxfo…
Oxford Street is perpendicular to George Street, and Rosewood Street is perpendicular to Oak Street.
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look at this shape: which image shows a translation? a b c a b c
A.
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look at this shape: which image shows a translation? a b c
B.
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look at this shape: which image shows a reflection?
B.
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select the correct answer. which statement best defines a circle? a. th…
A. the set of all points in a plane that are the same distance from a given point called the center