Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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lesson 5 practice problems a. what is the scale factor from s to l? b. …
a. \(3\) b. \(\frac{1}{3}\) c. \(\frac{2}{3}\)
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complete the congruence statement. n k l m ≅ submit work it out
\(NKLM\cong TUVW\)
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example 2 given ( mangle6 = 142^circ ), find the measure of each missin…
a. \(m\angle1 = 38^{\circ}\) (vertical angles with \(\angle2\), and \(\angle2\) is supplementary to \(\angle6\)) b. \(m\angle2 = 38^{\circ}\) (\(\angle2\) and \(\angle6\) are supp…
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20) the length of a rectangle is 1 foot more than twice the width. the …
The width of the rectangle is \( 5 \) feet and the length is \( 11 \) feet.
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24) simplify the polynomials. $(3x^{2}+12xy + 5y^{2})(4x - 3y)$ extende…
\(12x^{3}+39x^{2}y - 16xy^{2}-15y^{3}\)
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find the perimeter and area of this figure. round your answer to the ne…
\(P = 11.32\) units, \(A = 8.00\) units²
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find the perimeter and area of this figure. p = ? units a = units²
\(P = 24\) units, \(A=36\) units²
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find the perimeter and area of this figure. p = ? units a = units² roun…
\(P = 11.32\) units, \(A=16\) units²
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find the perimeter and area of this figure. round your answer to the ne…
\(P\approx11.31\) units, \(A = 16\) units²
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find the perimeter and area of this figure. p = ? units a = units² roun…
\(P = 8.96\) units, \(A = 18\) units²
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which pairs of figures below are congruent?
First pair: Yes; Second pair: No; Third pair: Yes; Fourth pair: No
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find the perimeter and area of this figure. p = ? units a = units²
\(P = 16\) units, \(A=12\) units\(^2\)
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use the rectangle. round to the nearest tenth. the perimeter of the rec…
The perimeter of the rectangle is \(17.2\) units. The area of the rectangle is \(17.0\) square units.
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use the rectangle. round to the nearest tenth. the perimeter of the rec…
The perimeter of the rectangle is \(17.2\) units. The area of the rectangle is \(17.0\) square units.
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1) for each figure below. • write a multiplication expression to repres…
The multiplication expression is \(3\times\frac{5}{6}\), and the area of the shaded region is \(2.5\) square units.
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find the perimeter and area of this figure. p = ? units a = units²
\(P\approx16.12\) units, \(A = 12\) units²
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what is the best estimate for the area of circle a, in square units? us…
C. 113.04 square units
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name the highlighted arc. answer attempt 1 out of 2
\(\overset{\frown}{MW}\)
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today we wrote expressions that represent the area of a rectangle with …
The multiplication expression is \(\frac{7}{8}\times3\) and the area of the shaded region is \(\frac{21}{8}=2\frac{5}{8}\) square units.
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find the perimeter and area of this figure. round your answer to the ne…
\(P = 13.66\) units, \(A=8\) units²
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find the perimeter and area of this figure. round your answer to the ne…
\(P = 13.66\) units, \(A=8\) units\(^{2}\)
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the word semicircle contains the root semi. what does the root semi mea…
one - half
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1) for each figure below: • write a multiplication expression to repres…
- Multiplication expression: \(\frac{5}{6}\times1\) - Area of the shaded region: \(\frac{5}{6}\) square units
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find the perimeter and area of this figure. round your answer to the ne…
\(P = 15.40\) units, \(A = 10.00\) units²
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find the measure of the missing angles. answer ( d=square^{circ} quad e…
\(d = 90^{\circ}\), \(e = 61^{\circ}\), \(f = 61^{\circ}\)
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dilate rectangle qrst by a scale factor of 3 with the center of dilatio…
\( T'Q = 6 \) units
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find the perimeter and area of this figure. p = ? units a = units²
\(P = 16\) units, \(A=12\) units²
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find the measure of the missing angle. answer a = submit answer
\(36\)
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find the perimeter and area of this figure. p = units a = units²
\( P\approx14.47 \) units, \( A = 10 \) units\( ^2 \)
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find the circumference and area of this figure. c = ? units a = units² …
\(C = 6.28\) units, \(A=3.14\) units²
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find the circumference and area of this figure. c = ? units a = units² …
\(C = 9.42\) units, \(A=7.07\) units²
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find the perimeter and area of this figure. p = ? units a = units²
\(P = 21.24\) units, \(A = 21\) units\(^{2}\)
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find the circumference and area of this figure. c = 12.56 units a =? un…
\(12.56\)
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to dilate the rectangle, think about the lengths of the corresponding s…
\( 6 \)
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8. ∠jkm = 4x + 5 ∠mkl = 6x + 15 ∠jkl is a straight angle find x
\(x = 16\)
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find the circumference and area of this figure. c = ? units a = units² …
\(C = 15.7\) units, \(A=19.625\) units²
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14. geometry write and solve an equation to find the value of x so that…
\(x = 2\) ### 15. #### a.
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hallar la ecuación y la pendiente de una recta que sea paralela a la re…
Ecuación: \(x = - 3\) Pendiente: Indefinido
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what information is needed to prove triangles are congruent by asa? a. …
1. d. Two angles and the included side are congruent 2. c. \(\angle K\cong\angle N\) 3. d. \(\angle B\) and \(\angle E\) 4. b. \(PQ\) and \(XY\) 5. c. It ensures the angles form a…
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which pairs of figures are congruent? which pairs are similar? congruen…
- First Pair: Congruent? \(No\), Similar? \(Yes\) - Second Pair: Congruent? \(No\), Similar? \(No\) - Third Pair: Congruent? \(Yes\), Similar? \(Yes\) - Fourth Pair: Congruent? \(…
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if two triangles are congruent by asa, what does this mean for the two …
1. a. They are congruent in both shape and size 2. d. ASA Congruence Postulate 3. a. To make sure the triangle is unique and congruent 4. c. Two pairs of congruent angles and the …
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dilate rectangle qrst by a scale factor of 3 with the center of dilatio…
Follow the above steps to draw the dilated rectangle with \(Q\) as the center, scale factor \(3\). The new rectangle will have sides that are \(3\) times the length of the origina…
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which rule explains why these triangles are congruent? sss sas aas asa …
AAS
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read the sentences below, filling in the blanks with items from this li…
1. ASA Triangle Congruence 2. included side 3. 70 4. side 5. congruent 6. congruence 7. given 8. equal 9. triangles 10. congruent 11. geometry 12. SAS
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what is the value of r? 40.2° r 40.4°
\(9.4\)
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17. the vertices of quadrilateral abcd are given. draw abcd in a coordi…
Since the slopes of opposite sides \(AB\) and \(CD\) are equal (\(m_{AB}=m_{CD} = 0\)), and the slopes of opposite sides \(BC\) and \(DA\) are equal (\(m_{BC}=m_{DA}=2\)), quadril…
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what is the value of m?
\(100.3\)
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the measure of an angle is thirty - nine times the measure of its suppl…
\(4.5\) and \(175.5\)
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the measure of an angle is thirty - nine times the measure of its suppl…
\(4.5\) and \(175.5\)
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which graph best describes a shape that is reflected over the x - axis?
The second graph (the one with two triangles where for each point \((x,y)\) on one triangle, the other triangle has a point \((x, - y)\)) best describes a shape that is reflected …
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the measure of an angle is eight times the measure of its complementary…
\(10\) and \(80\)
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what is the area of this figure? 95mm² 4mm 6mm 3mm 5mm 9mm 7mm 4mm 2mm
\(95\) mm²
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q. triangle ghi is reflected across the x - axis. what are the coordina…
The coordinates of \( I' \) are \( (6,2) \).
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what is the value of k? 89° 33° k
\(58^{\circ}\)
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an angle measures 2° less than the measure of its complementary angle. …
\(44\) and \(46\)
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what is the area of this figure?
\(107\ \text{mm}^2\)
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q. which statement correctly identifies the line of reflection?
The line of reflection is \(y=-x\)
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the measure of an angle is eleven times the measure of its supplementar…
\(15\) and \(165\)
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an angle measures 42° less than the measure of its complementary angle.…
\(24\) and \(66\)
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find s. write your answer in simplest radical form. feet
\(30\sqrt{2}\)
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what is the value of c?
\(34\)
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reflection across the y - axis reflection across the line y = 1 reflect…
Reflection across the \(x\) - axis
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what does this transformation say to do? (x, y) → (x, y + 4)
The transformation \((x,y)\to(x,y + 4)\) means to slide up 4.
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rt and uw are parallel lines. which angles are vertical angles? ∠uvx an…
$\angle UVX$ and $\angle WVS$
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np and qs are parallel lines. which angles are alternate interior angle…
\(\angle NOR\) and \(\angle SRO\)
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use parallelogram hijk at the right. find each measure. 9. ( hi = ) 10.…
9. \(16\) 10. \(7\) 11. \(28^{\circ}\) 12. \(68^{\circ}\) 13. \(10\) 14. \(14\) 15. \(68^{\circ}\) 16. \(68^{\circ}\)
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what does this transformation say to do? $(x,y)\ ightarrow(x,y + 4)$
The transformation \((x,y)\to(x,y + 4)\) means that the figure is slid up by 4 units.
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which rule explains why these triangles are congruent? asa sas aas sss …
SAS
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which rule explains why these triangles are congruent?
AAS (Angle - Angle - Side)
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mo and pr are parallel lines. which angles are alternate exterior angle…
$\angle RQN$ and $\angle MNQ$
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can you conclude that these triangles are congruent?
yes
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which rule explains why these triangles are congruent? aas sss asa sas …
SSS
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read this excerpt: the sea of faith was once, too, at the full, and rou…
B. A girdle
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ln and oq are parallel lines. which angles are vertical angles? ∠opm an…
$\angle LMK$ and $\angle NMP$
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can you conclude that these triangles are congruent?
yes
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8. (3x + 5)° 70° (2x)° (x + 3y)° x = y =
\(x = 35\), \(y=\frac{35}{3}\)
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bd and eg are parallel lines. which angles are alternate exterior angle…
\(\angle BCF\) and \(\angle GFH\)
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jl and mo are parallel lines. which angles are alternate exterior angle…
\(\angle LKN\) and \(\angle MNP\)
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8 in △pqr and △stu, ∠p = 50°, ∠q = 60°, and ∠s = 50°, ∠t = 60°, which p…
- **Question 8**: C. AA - **Question 9**: d. Prove that the triangles are congruent - **Question 10**: a. \(AB:DE = AC:DF\) - **Question 11**: b. One pair of congruent angles and …
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ce and fh are parallel lines. which angles are supplementary angles? ∠c…
\(\angle CDG\) and \(\angle HGD\)
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7. 10 39° 36° 15 a= b= x= y=
\(a = 10\), \(b = 15\), \(x = 36^{\circ}\), \(y = 66^{\circ}\)
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which rule explains why these triangles are congruent? sasasa sss aasth…
These triangles cannot be proven congruent.
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mo and pr are parallel lines. which angles are vertical angles? ∠pqs an…
\(\angle MNL\) and \(\angle PQN\)
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62. gaby has two boxes stacked on a shelf in her attic. what is the tot…
D. 492 cubic inches
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ik and ln are parallel lines. which angles are corresponding angles? ∠l…
$\angle KJM$ and $\angle NMO$
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which two triangles are congruent? complete the congruence statement. s…
\(\triangle HGF\cong\triangle RPQ\)
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jl and mo are parallel lines. which angles are corresponding angles? ∠l…
$\angle LKI$ and $\angle ONK$
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60. stephan is building a structure out of cubic blocks. he needs to ad…
D. 30 cubic blocks
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1. which of the following statements is true for similar triangles? a. …
1. b 2. c 3. b 4. a 5. c 6. d 7. c
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and are parallel lines. which angles are corresponding angles? and and …
$\angle HIL$ and $\angle KLN$
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can you conclude that these triangles are congruent?
yes
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6. a= b= x= y=
\(a = 6\), \(b = 5\), \(x = 46\), \(y = 74\)
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the measure of an angle is thirty - five times the measure of its suppl…
\(5\) and \(175\)
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ce and fh are parallel lines. which angles are alternate interior angle…
\(\angle CDG\) and \(\angle HGD\)
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what is the value of m?
\(50\)
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km and np are parallel lines. which angles are alternate exterior angle…
$\angle MLJ$ and $\angle NOQ$
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3x - 7 5y 2y + 18 2x + 9 x= y=
\(x = 16\), \(y = 6\)
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an angle measures 56° more than the measure of its complementary angle.…
\(17^{\circ}\) and \(73^{\circ}\)
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which rule explains why these triangles are congruent? sas aas sss asa …
AAS
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an angle measures 6° more than the measure of its supplementary angle. …
\(87\) and \(93\)