Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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question from a hot - air balloon, santiago measures a 21° angle of dep…
\(218.44\)
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question sydney wants to use a sheet of fiberboard 36 inches long to cr…
\(12.31\) inches
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graph quadrilateral $jklm$ and its image after a rotation $180^{circ}$ …
Graph \( JKLM \) with vertices \( J(1,4) \), \( K(6,6) \), \( L(7,2) \), \( M(1,2) \) and its image after \( 180^{\circ} \) rotation \( J'(-1,-4) \), \( K'(-6,-6) \), \( L'(-7,-2)…
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solve the inequality and graph the solution. 6 + 2q > 2 to draw a ray, …
The solution of the inequality is \(q > - 2\). On the number - line, we plot an open circle at \(-2\) (because the inequality is strict, \(q eq - 2\)) and draw a ray to the right.
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write the coordinates of the vertices after a translation 4 units right…
\(S'(-3,-8)\), \(T'(-3,-7)\), \(U'(-1,-7)\), \(V'(-1,-8)\)
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3. reflect right triangle abc across line bc. classify triangle aca acc…
\(\triangle ACA'\) is an isosceles triangle. Because when we reflect \(\triangle ABC\) across \(BC\) to get \(\triangle A'BC\), \(AC = A'C\) (reflection preserves side - lengths),…
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jaxon is flying a kite, holding his hands a distance of 3.25 feet above…
The kite is approximately \(54.04\) feet above the ground.
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congruent. 2. triangle fgh is the image of isosceles triangle feh after…
C. Diagonal \(FH\) bisects angles \(EFG\) and \(EHG\); E. Angle \(FEH\) is congruent to angle \(FGH\)
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find the volume of the figure the volume of the figure is (round to the…
\(84\)
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1. when rectangle abcd is reflected across line ef, the image is dcba. …
D. corresponding parts of congruent figures are congruent.
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find the volume of the figure. the volume of the figure is (round to th…
\(90\)
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write the coordinates of the vertices after a translation 8 units left …
\(J'(-6,-1)\), \(K'(-6,0)\), \(L'(0,0)\), \(M'(0,-1)\)
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write the coordinates of the vertices after a translation 6 units right…
\(Q'(-1,-6)\), \(R'(8,-6)\), \(S'(1,-2)\)
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find the volume of the figure the volume of the figure is (round to the…
\(98\)
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2015 > chapter 4: rotations > section exercises 4.3 > exercise 11 graph…
The endpoints of the image of \(\overline{XY}\) after the composition (translation followed by rotation) are \(X''(-3,-3)\) and \(Y''(3,4)\)
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a right triangle has side ( a ) opposite angle ( a ), side ( b ) opposi…
\(a\approx42.9080\), \(c\approx47.3261\)
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solve the inequality and graph the solution. 6 + 2q > 2 to draw a ray, …
The solution of the inequality \(6 + 2q>2\) is \(q>-2\). On the number - line, there is an open circle at \(-2\) and an arrow pointing to the right.
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look at this shape:which image shows a reflection?
A. Option A
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parallel lines and transversals identify each pair of angles as corresp…
1. Corresponding angles 2. Alternate interior angles 3. Alternate exterior angles 4. Consecutive interior angles 5. Corresponding angles 6. Alternate exterior angles 7. Alternate …
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use a calculator to find the length of each side. round to 4 decimal pl…
\(a = 2.0791\) \(b = 9.7812\)
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triangle trade followed a certain path. put the events in the correct o…
1. During this stage, goods were sent from England to Africa where goods like alcohol, linen, textiles were traded for slaves. 2. During this stage, slaves were brought over to Br…
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use the formulas developed in this section to find the area of the figu…
\(2184\) cm²
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a regular heptagon is a 7 - sided figure whose seven sides all have equ…
\(99.75\)
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find the perimeter of an equilateral triangle that has sides with lengt…
39
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3. find n. then find the perimeter. 3 ft area = 33 sq ft n
\( n = 11\) ft, perimeter \(= 28\) ft
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find the perimeter of a triangle whose three sides have length 14 feet,…
48
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find the perimeter of a rectangle whose length is 28 centimeters and wh…
90
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solve the inequality and graph the solution. 6 + 2q > 2 to draw a ray, …
The solution of the inequality \(6 + 2q>2\) is \(q>-2\). On the number - line, there is an open circle at \(-2\) and an arrow pointing to the right.
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solve the inequality and graph the solution. 8 - t > 2 to draw a ray, p…
The solution of the inequality \(8 - t>2\) is \(t < 6\). On the number - line, we have an open circle at \(6\) and a ray extending to the left.
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use the interactive protractor to determine the measure of the angle wh…
75°
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area equation: 4 × 11 = 44 square units perimeter equation: 11 + 11 + 1…
Area Equation: \(4\times11 = 44\) square units; Perimeter Equation: \(11+11 + 4+4=30\) units.
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find the measure of angle a. (equation required) 7)
\(25^{\circ}\)
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use the right triangle and the given information to solve the triangle …
\(a\approx16.24\), \(c\approx18.56\), \(A = 61^{\circ}\)
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a soccer team uses cones to outline their field in practices. the volum…
\(6.94\)
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find the height of the tower using the information given in the illustr…
\(750.00\)
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a right triangle has a hypotenuse of length 3 inches. if one angle is 4…
The length of the shorter leg is \(2.0\) inches, and the longer leg is \(2.2\) inches.
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find the measure of angle a. (equation required) 6)
\(54^{\circ}\)
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14. determine the value of the unknowns.
\(x = 65^{\circ}\), \(y=135^{\circ}\), \(z = 64^{\circ}\), \(w = 51^{\circ}\), \(v=63^{\circ}\)
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the supreme court can strike down, or cancel, laws that go against the …
The arrow from the Judicial circle to the Legislative circle.
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7.1 hw - right triangle etry; applications question 8, 7.1.41 part 1 of…
\(b\approx1.73\), \(A = 30^{\circ}\), \(B = 60^{\circ}\)
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solve the inequality and graph the solution. 2p + 6 < 2 to draw a ray, …
The solution of the inequality \(2p + 6<2\) is \(p < - 2\). On the number - line, there is an open circle at \(-2\) and an arrow pointing to the left.
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use the triangle shown on the right and the given information to solve …
\( a\approx16.48 \), \( c\approx17.54 \), \( B = 20^{\circ} \)
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solve the inequality and graph the solution. 11a + 16 ≤ -6 to draw a ra…
The solution of the inequality \(11a + 16\leq - 6\) is \(a\leq - 2\). On the number - line, we have a closed circle at \(-2\) and an arrow pointing to the left.
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solve the inequality and graph the solution. 2p + 1 ≥ 9 to draw a ray, …
The solution of the inequality \(2p + 1\geq9\) is \(p\geq4\). On the number - line, we have a closed circle at \(4\) and a ray extending to the right.
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escribir las coordenadas de los vértices después de una rotación 180° e…
\( L'(-1,6) \), \( M'(-7,6) \), \( N'(-2,2) \)
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solve the inequality and graph the solution. 8z - 7 ≥ 9 to draw a ray, …
The solution of the inequality \(8z-7\geq9\) is \(z\geq2\). On the number - line, we have a closed circle at \(2\) and a ray extending to the right.
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find the area of the triangle. the area is (square) sq. in. (simplify y…
\( 7.65 \)
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solve the inequality and graph the solution. 8q + 10 < 2 to draw a ray,…
The solution of the inequality is \(q < - 1\). On the number - line, there is an open circle at \(-1\) and an arrow pointing to the left.
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2. find n. then find the area. perimeter = 86 inches 25 in n
\(n = 18\) inches, Area \(= 450\) square inches.
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consider line a and line c. then, choose the best description of the li…
A. Lines a and c will eventually intersect.
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gh is a translation of gh. write the translation rule. (x,y)→(x+□,y+□)
\((x,y)\to(x + 7,y+4)\)
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define and give an example of: corresponding angles: supplementary angl…
Corresponding Angles: Angles in the same relative position at each intersection of a transversal with two lines. Example: When a transversal cuts two parallel lines, upper - right…
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given \\( \\overline { e d } \\cong \\overline { d b } \\), which state…
- $\overline{EB}$ is bisected by $\overline{DF}$ - $FA=\frac{1}{2}FC$
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jk is a translation of jk. write the translation rule. submit
\((x,y)\to(x + 13,y+7)\)
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define and give an example of: corresponding angles: supplementary angl…
- **Corresponding Angles**: Angles in the same relative position when two parallel lines are cut by a transversal. Example: In parallel - line - transversal setup, \(\angle1\) and…
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which expression represents the measure of segment rs? 7x - 3 7x + 5 x …
C. \(x + 5\)
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46. in the figure, ( mangle4 = 118^{circ} ). find each angle measure. j…
a. \(m\angle8 = 118^{\circ}\) (Corresponding angles postulate) b. \(m\angle7=180^{\circ}- 118^{\circ}=62^{\circ}\) (Linear pair postulate)
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a building that is 90 feet tall casts a shadow 30 feet long. what is th…
\(71.6\)
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graph the image of trapezoid qrst after a reflection over the x - axis.
Plot the points \( (1,4) \), \( (2,2) \), \( (3,6) \), \( (2,9) \) and connect them.
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graph the image of square stuv after a reflection over the x - axis.
Plot the points \(S'(2,8)\), \(T'(4,8)\), \(U'(4,6)\), \(V'(2,6)\) and connect them.
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6. the following tile floor pattern is made of 36 square tiles. the til…
4.75
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write the coordinates of the vertices after a reflection over the line …
\(C'(-7,7)\), \(D'(-2,7)\), \(E'(-5,5)\), \(F'(-6,5)\)
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which is a property of an angle? has two sides that each extend forever…
has two rays that share a common endpoint
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given vectors ( u = (-3, 2) ) and ( v = (2, 1) ), what is the measure o…
C. \(119.7^{\circ}\)
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given ( u=(3,2), v=(1,5) ), and the angle between the vectors is ( 45^{…
13
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write the coordinates of the vertices after a reflection over the x - a…
\(R'(-4,9)\) \(S'(5,9)\) \(T'(5,0)\) \(U'(-4,0)\)
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suppose u · v = 0. which vectors could represent u and v? ○ u = (3, 4) …
A. \( \mathbf{u} = \langle 3,4 angle \) and \( \mathbf{v}=\langle 4, - 3 angle \)
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which line is parallel to line r? line p line q line s line t
line \( s \)
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consider vectors u and v, where u = (1, -1) and v = (1, 1). what is the…
\(90^{\circ}\)
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solve for x. (equation required) 4)
\(x=-11\)
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consider u = (5, -2) and v = (10, -4). what is the relationship between…
The vectors point in the same direction.
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which pair of angles shares ray af as a common side? ∠daf and ∠dab ∠eaf…
∠BAF and ∠FAD
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what is the relationship between vectors u = (1, 0) and v = (0, -3)? th…
The vectors are orthogonal because the angle between them is \(90^{\circ}\).
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given vector ( u = langle 1, sqrt{3} angle ) and ( v = langle 1, -1 ang…
The vectors form an obtuse angle of approximately \(105^{\circ}\).
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which is the endpoint of a ray? point r point s point t point u
point S
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the definition of a circle uses the undefined term arc line plane ray
C. plane
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write the coordinates of the vertices after a reflection over the x - a…
\(T'(-5,4)\), \(U'(-5,1)\), \(V'(-2,1)\), \(W'(-2,4)\)
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give the location of seattle as an ordered pair (x, y).
\((10,10)\)
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which defines a circle? two rays with a common endpoint a piece of a li…
D. all coplanar points equidistant from a given point
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5. given: ( overline{bd} ) bisects ( angle adc ) ( angle a cong angle c…
Se ha demostrado que \( \triangle ABD\cong\triangle CBD \) utilizando el criterio AAS de congruencia de triángulos.
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example 5 find the value of the variables in each figure. explain your …
\(x = 28\), \(y = 47\) ### Problem 30
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use the statements to write a compound statement for the conjunction or…
\(-3 - 2=-5\) **and** \(2 + 8>10\); \(p\) is **true**, \(r\) is **false**, so \(p\land r\) is **false**
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determine if each statement is always, sometimes, or never true 1 paral…
1. always 2. always 3. sometimes
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use the statements to write a compound statement for the conjunction or…
\(p\) is True, \(r\) is False, and \(p\wedge r\) is False.
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use the statements to write a compound statement for the conjunction or…
\(p\) is True, \(r\) is False, and \(p\land r\) is False.
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use the statements to write a compound statement for the conjunction or…
The compound statement \(p\lor q\lor r\) is True.
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using the pencil, plot the point $(2, -1)$.
Plot the point at the intersection of \(x = 2\) and \(y=-1\) on the coordinate plane.
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use the statements to write a compound statement for the conjunction or…
\(2 + 8\) \( ot> \) \(10\) \(\text{or}\) \(-3 - 2\) \( eq\) \(-5\); \(\sim r\) is \(\text{true}\), and \(\sim p\) is \(\text{false}\), so \(\sim r\vee\sim p\) is \(\text{true}\).
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use the statements to write a compound statement for the conjunction or…
\(-3 - 2 eq-5\), and vertical angles are not congruent; \(\sim p\) is False, and \(\sim q\) is False, so \(\sim p\wedge\sim q\) is False.
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use the statements to write a compound statement for the conjunction or…
\(2 + 8>10\) **or** vertical angles are congruent; \(r\) is **false**, and \(q\) is **true**, so \(r\vee q\) is **true**
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use the statements to write a compound statement for the conjunction or…
Vertical angles are congruent, **or** \(2 + 8\) **is not greater than** \(10\); \(q\) is **True**, and \(\sim r\) is **True**, so \(q\vee\sim r\) is **True**.
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which statements are true regarding the diagram? check all that apply c…
$\overline{CB}$ is contained on line $m$, $\overrightarrow{CE}$ is contained on line $m$, $\angle ECB$ is created from $\overrightarrow{CE}$ and $\overrightarrow{CB}$
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9)use the diagram to solve for x, how high up the ladder will go?
\(18\)
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the undefined terms line and plane are needed to precisely define which…
C. parallel lines
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in \\( \\triangle cde \\), \\( i \\) is the centroid. if \\( g e = 26 \…
\(52\)
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determine the relationship between the two triangles and whether or not…
The two triangles are related by similarity, so the triangles cannot be proven congruent.
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finding an angle measure what is the measure of \\( \\angle cbe \\)? \\…
\(72^{\circ}\)
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3. answer the following for the given figure. (lesson 4.2) (1 point) a.…
a. $\angle3,\angle5,\angle7$ b. Angles: $\angle2,\angle4,\angle6,\angle8$; Measure: $75^{\circ}$
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describe the general properties of rotations. include a discussion of t…
A rotation is a rigid transformation. The pre - image and image are congruent. Line segments connecting corresponding points are congruent. The center of rotation is equidistant f…
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estimate the measure of this angle within 15°.
\(30\)