Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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17. two parallel lines are cut by a transversal forming interior angles…
Supplementary angles
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16. if two transversal lines intersect at a 130 - degree angle, what is…
50 degrees
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15. when two parallel lines are cut by a transversal, which pair of ang…
Alternate interior angles
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14. two lines are parallel and cut by a transversal, if \\( \\angle 1 =…
\(120^{\circ}\)
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parallel lines and transversals 13. looking at the image: if you have t…
Supplementary \(+ 180^{\circ}\)
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12. looking at the image: if you have two // lines cut by a transversal…
Congruent
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11. looking at the image: if you have two // lines cut by a transversal…
Congruent
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lines a and b are parallel and lines e and f are parallel. if ( mangle1…
\(91\)
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ving lines parallel letters w, x, y, and z are angle measures which sho…
\(x\)
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1. determine which theorem can be used to prove triangle congruence. a.…
For the first pair of triangles: b. Side - Angle - Side. For the second pair of triangles: d. Angle - Angle - Side.
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recycling -- by ezekiel body paragraph 3 glass is a material that seems…
In 2018, only 25 percent of the glass produced in the United States was recovered for recycling.
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mr hirschler has several lengths of steel with which to construct a tri…
- 10 inches: No. Because \(30 + 10=40<45\) (violates triangle - inequality theorem). - 40 inches: Yes. Because \(30 + 40>45\), \(30 + 45>40\), \(40 + 45>30\). - 80 inches: No. Bec…
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given the information in the diagram, which theorem best justifies why …
converse alternate exterior angles theorem
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5 for each pair of shapes, decide whether or not shape a is congruent t…
Shape A is congruent to Shape B. Because we can use a combination of reflection, rotation, and translation (rigid - motion transformations) to make Shape A overlap exactly with Sh…
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mr romero has several boards of differing lengths to construct a triang…
The length of the third side must be greater than \(9\) inches and less than \(37\) inches. So the third side \(x\) satisfies \(9\lt x\lt37\).
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solve the inequality. graph the solutions. |x|>3 select the correct cho…
C. The solution is \(x < - 3\) or \(x>3\). The correct graph is C (since it has open circles at \(x=-3\) and \(x = 3\) and the shaded regions are to the left of \(x=-3\) and to th…
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the measures of two sides of a triangle are given. between what two num…
The third side \(s\) must fall between \(5\) and \(25\).
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complete the similarity statement. an equilateral triangle is sometimes…
An equilateral triangle is never similar to a scalene triangle, because we can never map one onto the other using only dilations and rigid transformations.
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quiz 2 google classroom microsoft teams quadrilateral ( a ^ { prime } b…
\(\frac{1}{2}\)
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lines a and b are parallel and lines c and f are parallel. what is the …
\(98\)
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dilations: scale factor google classroom microsoft teams pentagon ( a ^…
\( 6 \)
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pentagon ( a ^ { prime } b ^ { prime } c ^ { prime } d ^ { prime } e ^ …
\(4\)
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d s: scale factor grade math (illustrative math... google classroom mic…
\(3\)
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4. two shapes are similar if their corresponding angles are congruent a…
C. \( \angle A\cong\angle D \)
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dilations: scale factor quadrilateral ( a ^ { prime } b ^ { prime } c ^…
\( 12 \)
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△abc is the image of △abc under a dilation whose center is a and scale …
A.
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what single transformation was applied to triangle a to get triangle b?…
D. Dilation
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what single transformation was applied to quadrilateral a to get quadri…
A. Translation
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the proof below may or may not be correct. if the proof is incorrect, d…
The proof is correct.
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the proof below may or may not be correct. if the proof is incorrect, d…
The first step that is not justified is Step 3. The reason is that the AAS (Angle - Angle - Side) congruence criterion is misapplied. The side used in the AAS is not in the correc…
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oving lines parallel letters a, b, c, and d are angles measures which e…
\(b + c = 180^{\circ}\), \(a = d\), \(b + d=180^{\circ}\)
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4520va v geometry sem a geometry proving lines parallel which set of eq…
\(m\angle1 = 110^{\circ}\) and \(m\angle2 = 110^{\circ}\)
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step statement reason \\( \\angle b c f \\cong \\angle d c f \\) \\( \\…
The first unjustified step is step number \(2\).
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which diagram shows lines that must be parallel lines cut by a transver…
The fourth diagram.
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△fgh is rotated 90° counterclockwise around the origin to form △fgh. wh…
The \(x\) - coordinate of \(G'\) is the opposite of the \(y\) - coordinate of \(G\). So the correct option is "Opposite of \(y\) - coordinate of point \(G\)".
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ng a two - column proof given: \\( \\angle t \\cong \\angle v ; \\overl…
2. alternate interior angles theorem; 4. transitive property of congruence; 5. converse alternate interior angles theorem
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10. looking at the image: if you have two // lines cut by a transversal…
Supplementary \(+ 180^{\circ}\)
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parallel lines and transversals 9. looking at the image: if you have tw…
Supplementary + 180°
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parallel lines and transversals 8. looking at the image: if you have tw…
Congruent
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parallel lines and transversals we know that the orange angles are all …
Congruent
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2. which of these sequences of transformations would not return a shape…
A. Translate 3 units up, then 3 units down
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complete the missing parts of the paragraph proof.we know that angle 1 …
The last blank should be filled with "converse of the corresponding angles theorem".
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solving for unknown angle measures if angle 1 is 110°, what would the o…
Angle 2 = \(110^{\circ}\), Angle 3 = \(70^{\circ}\), Angle 4 = \(70^{\circ}\)
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find the volume of the rectangular prism. 5 in 5 in 5 in in³
\(125\)
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applying angle relationships to justify parallel lines which lines are …
Lines \(p\) and \(q\) are parallel because alternate exterior angles are congruent.
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find the volume of the rectangular prism. 6 ft 3 ft 6 ft ft³
\(108\)
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question 5 * required 5. angles that are a linear pair are... congruent…
B. Supplementary \(+180^{\circ}\)
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question 4 4. vertical angles are... congruent ≅ supplementary +180 all…
Congruent \(\cong\)
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find the coordinates of the midpoint of a segment with the given endpoi…
15. The mid - point is \((-2,5)\). 16. The mid - point is \((-10,-5.5)\).
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find the value of x. what is the measure of the angle that is labeled (…
\(126\)
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3. when 2 // lines are cut by a transversal corresponding angles are...…
Congruent
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applying the standard how might this standard appear on a test? 7) ∠gih…
The measure of \(\angle GIH\) and \(\angle JIK\) is \(136^{\circ}\) each.
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ing the pencil, plot the point $(0, - 6)$.
Plot the point on the y - axis, \(6\) units below the origin.
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find the value of $x$. $x =$
\(0\)
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instructional video & making conjectures: congruent and supplementary a…
True
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6) $overline{qs}$ is 60 units in length. find $qr$.
\(29\)
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find the value of x. x =
\(10\)
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which diagram shows alternate interior angles that are supplementary?
The third diagram.
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instructional video & making conjectures: congruent and supplementary a…
True
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which angles are congruent to ∠6? choose all that apply. ∠1 ∠2 ∠3 ∠4 ∠5…
$\angle2$, $\angle4$, $\angle8$
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which angles are supplementary to ∠4? choose all that apply. ∠1 ∠2 ∠3 ∠…
\(\angle1\), \(\angle3\), \(\angle5\)
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in the diagram, two parallel lines are cut by a trans which angles are …
\(\angle1\), \(\angle3\), \(\angle5\)
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letters x, y, and z are angle measures. which equations would guarantee…
\(x = y\) and \(x + z = 180^{\circ}\)
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which angles are adjacent to ∠3? choose all that apply. ∠1 ∠2 ∠4 ∠5 ∠6 …
∠1, ∠4
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writing algebraic equations letters x, y, and z are angle measures. whi…
\(x + z = 180^{\circ}\) and \(x=y\)
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which pair of angles are vertical angles? ∠1 and ∠7 ∠3 and ∠6 ∠5 and ∠8…
\(\angle5\) and \(\angle8\)
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3. triangles tsm and qpk are similar. find the missing side y. 8.8 8 8.…
8.4
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2. which of the following additional statements would you need to prove…
\(\angle A\cong\angle D\)
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1. what similarity property, if any, can be used to show that the follo…
SSS
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10. if ( \triangle abc cong \triangle def ), ( ab = 8 ), ( bc = 19 ), (…
10. \(x = 5\), \(y = 14\) 11. \(x = 6\), \(y = 10\) 12. \(x = 6.25\), \(y = 14\)
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2a: identify the vertices of this triangle. 2b: the triangle is being d…
The new vertices are \(A = (\frac{3}{2},1)\), \(B=(3,2)\), \(C=(4,0)\)
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2. analyze the following triangle. 2a: identify the vertices of this tr…
The vertices of the triangle are \(A=(3,2)\), \(B=(6,4)\), and \(C=(8,0)\).
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which ordered pair is shown on the graph?
\((-1,1)\)
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which ordered pair is shown on the graph?
\((4,1)\)
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which ordered pair is shown on the graph?
\((2,-4)\)
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find the value of tan y rounded to the nearest hundredth, if necessary.
\( 2.4 \)
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1a: identify the vertices of this quadrilateral.1b: the quadrilateral i…
The new vertices are \(A'(4,2)\), \(B'(4,8)\), \(C'(8,8)\), \(D'(12,2)\)
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applying angle relationships to justify parallel lines which diagram sh…
The third diagram.
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7. given \\( \\triangle xps \\cong \\triangle dnf \\), find the values …
For problem 7: \(x = 3\), \(y = 13.5\) For problem 8: \(x = 12\), \(y = 8\)
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answer the following questions. make sure to explain all your work and …
The vertices of the quadrilateral are \(A=(2,1)\), \(B=(2,4)\), \(C=(4,4)\), and \(D=(6,1)\)
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question 8 if the area of a rectangle is represented by $x^{2}+8x + 15$…
\(x + 3\)
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4. given \\( \\triangle stu \\cong \\triangle klm \\), complete each of…
a) \(\overline{LM}\) b) \(\overline{US}\) c) \(\overline{ST}\) d) \(\angle U\) e) \(\angle L\) f) \(\angle MKL\) g) \(\triangle MKL\) h) \(\triangle LMK\) For \(\triangle BCM\cong…
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3. $delta qry cong delta jls$ write another valid congruency statement:
Another valid congruency statement is \(\triangle RYQ\cong\triangle LSJ\)
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write and solve an inequality to find the values of x for which the per…
A. \(x<30\)
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2. (\triangle abecong\triangle mnp) angles sides write another valid co…
Angles: \(\angle A=\angle M\), \(\angle B=\angle N\), \(\angle E=\angle P\) Sides: \(AB = MN\), \(BE=NP\), \(AE = MP\) Another valid congruency statement: \(\triangle BAE\cong\tri…
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1. write three valid congruency statements given the triangles below. a…
a) $\triangle TWP\cong\triangle DGH$ b) $\triangle TWP\cong\triangle HDG$ (order of vertices can vary as long as correspondence is maintained) c) $\triangle WPT\cong\triangle GHD$
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solve the inequality. graph the solution. 3x ≤ -\\frac{5}{4} the soluti…
$$x\leq-\frac{5}{12}$$ To graph the solution: Draw a number line. Place a closed circle at \(-\frac{5}{12}\) (because the inequality is \(\leq\)) and shade to the left of \(-\frac…
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12. if $\triangle wxycong\triangle hij$, complete each part. a) $ji=$__…
a) \(16m\) b) \(15m\) c) \(37^{\circ}\) d) \(114^{\circ}\) e) \(29^{\circ}\)
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solve for x. round to the nearest tenth, if necessary.
\(x\approx24.3\)
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solve for x. round to the nearest tenth, if necessary.
\(71.3\)
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solve for x. round to the nearest tenth, if necessary.
\(x\approx63.3\)
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7. 8. $m\\angle e=$ $x=$ $m\\angle g=$
7. \(x = 7\) 8. \(m\angle E=38^{\circ}\), \(m\angle G = 38^{\circ}\)
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the formula c = 3.14d can be used to approximate the circumference of a…
\(2.516\leq d\leq2.580\)
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9. △cde is an isosceles triangle with \\( \\angle d \\cong \\angle e \\…
\(x = 3\) \(CD=21\) \(DE = 16\) \(CE=21\)
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4. (9x + 17) a (3x - 4) b (6x - 31) c x =
\(11\)
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solve for x. round to the nearest tenth, if necessary.
\(x\approx4.3\)
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∠g and ∠h are complementary and ∠g and ∠i are complementary. complete t…
\(\angle H\cong\angle I\) (by the definition of congruent angles, since \(m\angle H = m\angle I\))
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solve for x. round to the nearest tenth, if necessary.
\(x\approx6.5\)
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solve for $x$. round to the nearest tenth, if necessary.
\( x\approx175.8 \)
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8. algebra write the missing number. 50 + ▲ = 75 ▲ + 25 = 50 ▲ = ■ + 38…
# Explanation: ## Paso 1: Resolver para el triángulo azul Dado \(50+\triangle = 75\), restamos 50 de ambos lados: \(\triangle=75 - 50\). También, dado \(\triangle+25 = 50\), resta…