幾何
三角形、円、座標幾何、証明問題。
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1 what is the role of the center of dilation in a transformation? a it …
1. b 2. a 3. b 4. c 5. b (assuming \(4.5\times400 = 1800\), closest to \(1800\) is \(1800\) which may be a typo as \(1800\) vs options. If \(4\ cm\), \(4\times400=1600\), but if \…
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norman bought 116 feet of fencing to put around his backyard. the backy…
B. No, the backyard is not big enough. It is \(841\) feet², which is less than \(900\) feet².
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1 what is the role of the center of dilation in a transformation? a it …
b. It acts as the fixed point from which all distances are scaled.
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16. ∠1 and ∠2 form a linear pair. the measure of ∠2 is six more than tw…
\(x = 6\)
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draw the following triangle after a translation 3 units to the right an…
Follow the above steps to draw the translated triangle.
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day 3 1. complete each word with -ge or -dge. ca______ ba______ bri____…
1. cage, badge, bridge, stage 2. judge, ledge, message
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determine whether a triangle with the given side lengths is a right tri…
(a) Right triangle (b) Right triangle (c) Not a right triangle (d) Not a right triangle
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what is the length of the line? choose 1 answer: a 8 b 12 c √60 d √136
D. \( \sqrt{136} \)
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which formulas can be used to find the circumference of a circle? choos…
\(C = \pi d\), \(C=2\pi r\)
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what is the length of the line? choose 1 answer: a $sqrt{11}$ b $sqrt{6…
B. \(\sqrt{61}\)
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what is the distance between $(-6,8)$ and $(-3,9)$? choose 1 answer: a …
C. \(\sqrt{10}\)
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math 2 name standard form and classification of polynomials. date 10/15…
1. Grado: \(0\), Términos: \(1\), Forma estándar: \(2\), Término principal: \(2\), Coeficiente principal: \(2\). 2. Grado: \(4\), Términos: \(4\), Forma estándar: \(10m^{4}+8m^{3}…
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what is the distance between the following points? choose 1 answer: a 1…
D. \(\sqrt{97}\)
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4) π is the ratio of the circumference to the diameter of a circle. 4) …
\(\pi=\frac{C}{d}\)
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7. a sequence of rigid motions creates the following pattern. match eac…
1. The pattern in Quadrant I is congruent to the pattern in Quadrant II: A reflection across the \(y\) - axis followed by a \(90^{\circ}\) counterclockwise rotation around the ori…
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neko made a triangular flag shown below. he wanted to attach it to the …
A. His flag ended up with base angles of \(86^{\circ}\) and \(62^{\circ}\), so the stick was \(12^{\circ}\) out of alignment from the correct position (both angles \(74^{\circ}\)).
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translate (-1, 5) up 2 units. then reflect the result over the x - axis…
\((-1,-7)\)
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what are measures of ∠1 and ∠2? 68° 1 128° a. m∠1 = 56, m∠2 = 56 b. m∠1…
B. \(m\angle1 = 52\), \(m\angle2 = 60\)
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solve for x, y, and z in the figure below. 47° 58° x° y° 81° z° a. x = …
A. \(x = 34,y = 99,z = 41\)
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a sequence of rigid motions creates the following pattern. match each s…
1. A reflection across the \(y\) - axis followed by a \(90^{\circ}\) counterclockwise rotation around the origin 2. A \(90^{\circ}\) counterclockwise rotation around the origin 3.…
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6. figures j and k are shown. a. is figure j congruent to figure k? exp…
a. Yes, figure J is congruent to figure K. They have the same shape and size. b. Yes, figure K is congruent to figure J. Congruence is symmetric. If J is congruent to K (same shap…
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6. figures j and k are shown. a. is figure j congruent to figure k? exp…
Yes, figure \(J\) is congruent to figure \(K\) because they have the same shape and size.
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based on this information, what conjecture can be made about the geomet…
A. If two lines are parallel and cut by a transversal, then same side interior angles are co
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2. error analysis isabel drew the diagram below to show the rotation of…
El error de Isabel es que en una rotación, la distancia de cada vértice del triángulo \( \triangle DEF \) al punto \( T \) debe ser igual a la distancia del vértice correspondient…
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read the sentences below, filling in the blanks with items from this li…
1. dilation 2. ratio 3. scale 4. preimage 5. image 6. proportion 7. similar 8. enlargement 9. reduction
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incorrect use the figure. if ( mangle11 = 118 ), what is the measure of…
C. 62
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a fly and an ant are located in the middle of a floor. if the fly start…
B. No; any path that the fly chooses will not result in the ant moving along a parallel path.
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if a dilation is centered at (2, 2) with a scale factor of 3, what is t…
1. c. \((8,14)\) 2. c. \(5\) meters 3. b. The figure is reduced in size 4. c. \(10\) meters
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suppose an isosceles triangle abc has ( a=\frac{pi}{4} ) and ( b = c = …
D. \(4^{2}(2 - \sqrt{2})\)
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what is the formula for dilating a point when the center of dilation is…
1. b \((x,y)\to(kx,ky)\) 2. c \(15\) meters 3. b \(4\) meters 4. c \(12\) meters 5. b \(24\) meters 6. b \(20\) meters
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question 17 of 20 how many solutions does a triangle with side lengths …
\(0\)
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the law of cosines reduces to the pythagorean theorem whenever the tria…
B. False
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eduardo takes a sheet of paper and makes a diagonal cut from one corner…
9
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question 15 of 20 which of the following problem types can always be so…
A. SSA, C. ASA, D. SAS, E. SAA, F. SSS
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the solid below is made from cubes. find its volume.
\(54\space cm^{3}\)
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the length of felipes rectangular living room is 12 meters and the dist…
\( 5\)
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question 14 of 20 triangulation is a method of finding the location of …
A. True
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the solid below is made from cubes. find its volume. 1 yd
\(32\)
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for problems 3 - 5, use a transparency to determine whether the given f…
Yes, the figures are congruent. A sequence of rigid motions is a rotation (e.g., \(180^{\circ}\) around an appropriate center) followed by a translation that maps \(ABC\) onto \(D…
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the solid below is made from cubes. find its volume. 1 cm cm³
\(54\)
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problem 4 precisely describe a dilation that takes the smaller figure t…
A dilation with center \((2,-1)\) and scale factor \(3\) takes the smaller figure to the larger figure.
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emilio is building a slide for his kids. the ladder is 3 meters tall an…
\(4\)
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2. in the diagram, figure e is congruent to figure d. which sequences o…
B. A translation along \(\overrightarrow{BA}\) followed by a reflection across line \(\ell\) maps figure \(D\) onto figure \(E\). D. A reflection across line \(\ell\) followed by …
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(b) let x be the length of the hypotenuse. use the triangle you drew an…
(c) \(x = 6\sqrt{2}\) (d) \(1.7\) kilometers
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problem 30 triangle abc is dilated using center d to form triangle a b …
\(15\)
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problem 3a triangle abc is dilated using center d to form triangle abc.…
\(3\)
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select all the pairs of polygons where the image appears to be the resu…
The first pair of polygons.
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problem 1 which dilation moves triangle gef onto triangle gef? a dilati…
Center of dilation: point \(G\), Scale factor: \(\frac{1}{2}\)
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which sequence of rigid motions shows $\\triangle abc\\cong\\triangle r…
First Rigid Motion: Reflection across the \(x\) - axis; Second Rigid Motion: Translation \(2\) units up.
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zoom in the original tappan zee bridge was built in the 1950s across th…
- Anchor span: \(0.9\ cm\) - Cantilever span: \(0.52\ cm\) - Center span: \(0.81\ cm\) - Main span: \(1.85\ cm\)
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lesson 9: side length quotients in similar triangles cool down: similar…
\(a = 3.15\) and \(b = 3.5\)
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the original tappan zee bridge was built in the 1950s across the hudson…
Anchor span: \(0.9\) cm, Cantilever span: \(0.52\) cm, Center span: \(0.81\) cm, Main span: \(1.85\) cm
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lesson 9: side length quotients in similar triangles cool down: similar…
\(a = 3.15\), \(b = 0.7\)
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the line ( y = x ) crosses the unit circle in the first and third quadr…
(a) \(\sin(\theta_1)=0.707\) (b) \(\cos(\theta_3)=-0.707\) (c) \(\sin(\theta_2)=0.707\), \(\cos(\theta_2)=-0.707\), \(\sin(\theta_4)=-0.707\), \(\cos(\theta_4)=0.707\)
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when the center of dilation is at the origin and the scale factor is 0.…
1. C. The figure reduces to half its original size 2. A. \((6,8)\) 3. C. Multiply each coordinate by the scale factor 4. C. The figure remains the same size
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a triangle has vertices ( x(1,1), y(5,1), z(3,4) ). after a dilation, i…
1. b. 3 2. b. The shape and angles measures of the figure 3. c. They reduce to one - fourth their original lengths 4. d. \((6,8)\) 5. a. \((12,6)\) 6. d. 20
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a walk in the park some friends plan to visit new york city and want to…
We use the formula for the area of a rectangle \(A = l\times w\). Substitute the length \(l = 2.5\) miles and width \(w = 0.5\) miles (found from the scale - table relationship) i…
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8.) wallace is putting new carpet in his bedroom. if the room is 12 fee…
D. \(117\ ft^{2}\)
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trapezoid f is a scaled copy of trapezoid e. what scale factor takes tr…
\(1.2\)
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original coordinates → final coordinates $a(-4,6)→a(-6,9)$ $b(6,2)→b(9,…
\((x,y)\to(\frac{3}{2}x,\frac{3}{2}y)\)
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triangle f is a scaled copy of triangle e. what is the value of d?
\(138\)
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rectangle z is a scaled copy of rectangle y. what scale factor takes re…
$\frac{1}{2}$
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triangle g is a scaled copy of triangle f. what scale factor takes tria…
\(\frac{3}{4}\)
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quadrilateral b is a scaled copy of quadrilateral a. what is the value …
\(10.2\)
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parallelogram c is a scaled copy of parallelogram b. what scale factor …
$\frac{7}{10}$
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quadrilateral x is a scaled copy of quadrilateral w. quadrilateral w qu…
\(40\)
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polygon b is a scaled copy of polygon a. what is the value of c?
\(115\)
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polygon p is a scaled copy of polygon o. polygon o polygon p what is th…
\(75\)
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select the correct choice below and, if necessary, fill in the answer b…
A. The solution set in set - builder notation is \(\{x|x < 5.7\}\) and the correct graph is option C (assuming option C has an open circle at \(5.7\) and the arrow points to the l…
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original coordinates → final coordinates d(2,3)→d(6,8) e(3,−1)→e(9,−3) …
\((x,y)\to(3x,3y)\)
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what is the value of g?
\(0.06\)
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polygon v is a scaled copy of polygon u. what is the value of w?
\(6.5\)
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quadrilateral m is a scaled copy of quadrilateral l. what scale factor …
\(\frac{5}{4}\)
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rectangle r is a scaled copy of rectangle q. what is the value of x?
\(18\)
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polygon r is a scaled copy of polygon q. what is the value of x?
\(8\)
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parallelogram d is a scaled copy of parallelogram c. what scale factor …
\(\frac{3}{5}\)
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give the coordinates after the dilation. original coordinates → final c…
\((x,y)\to(\frac{1}{3}x,\frac{1}{3}y)\)
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polygon p is a scale copy of polygon n. what scale factor takes polygon…
\(2.5\)
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note that triangle adb from part a is a 30° - 60° - 90° triangle. drag …
1. \(a^{2}+b^{2}=c^{2}\) 2. \((AD)^{2}+1^{2}=2^{2}\) 3. \((AD)^{2}+1 = 4\) 4. \((AD)^{2}=3\) 5. \(AD=\sqrt{3}\)
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the area of a triangle can be found using the formula: area = \\frac{1}…
\(50.4\)
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question 9 find the circumference of the circle pictured above. use 3.1…
\(18.84\)
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if the hypotenuse of an isosceles right triangle has a length of 5 cent…
\(\frac{5\sqrt{2}}{2}\)
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4. create one sentence that correctly uses one of the words: semi - glo…
The bench in the park has a semicircle - shaped backrest.
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if a ( 45^{circ}-45^{circ}-90^{circ} ) triangle has a hypotenuse length…
B. \(7\)
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2. zelda drove her car in a semicircle. semicircle means: * half sweet,…
2. half circle 3. half sweet, half bitter
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emily has a sprinkler than covers a circular area with diameter 14 feet…
\(153.86\)
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rectangle (abcd) is shown with 5 triangles inside it: (abe), (ade), (ae…
\(\triangle ABE\sim\triangle DEA\) and \(\triangle DEF\sim\triangle DEA\)
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1. zeke bought a semi - gloss paint at lowes. semi - gloss means: * hal…
partly shiny
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find the perimeter and area of the figure pictured below. 2.8 m 11.6 m …
Perimeter \(=41.4\) m, Area \(=53.27\) \(m^{2}\)
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what is the sum of the interior angles of a pentagon?
\(540^{\circ}\)
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a right triangle has one side with length ( b = 22.27 ) cm and an angle…
\(50.27\)
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ab is congruent to de because segment de was constructed so that de = a…
First blank: Pythagorean Theorem; Second blank: Substitution Property; Third blank: Transitive Property; Fourth blank: SSS (Side - Side - Side) Congruence Criterion.
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since ( mangle e = 90^{circ}), (\triangle def) is a right triangle and …
\(DE^{2}+EF^{2}=DF^{2}\)
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determining if figures are congruent and related by a transformation ar…
For Figure A and B: No, Reflect Figure A over the \(x -\)axis. For Figure C and D: Yes, Rotate Figure C clockwise \(90^{\circ}\) about the origin.
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express the interval in set - builder notation and graph the interval o…
A. The solution set in set - builder notation is \(\{x|x > - 2\}\) and the correct number - line graph is the one with an open circle at \(-2\) and an arrow to the right (assuming…
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rotate the figure 180° counterclockwise about the origin. then decide i…
| Statement about rotated figures | True | False | |--|--|--| | If two sides are parallel in the original figure, then those sides are parallel in the final figure. | $\boxed{\tex…
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rotate the figure 90° clockwise about the origin. then decide if each s…
1. False 2. True 3. False 4. False
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rotate the figure 270° counterclockwise about the origin. then decide i…
| Statement about rotated figures | True | False | | --- | --- | --- | | The final angle measures are the same as the original angle measures. | $\square$ | | | The final side len…
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rotate the figure 180° clockwise about the origin. then decide if each …
| Statement about rotated figures | True | False | |--|--|--| | The final side lengths are the same as the original side lengths. | $\boldsymbol{\text{True}}$ | | | The final angl…
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interpreting inequalities card match student recording document part 1:…
- **Solution Statement**: \(x>2\) - **Graph**: Open circle at \(2\) with a right - pointing arrow on the number - line. - **A Member of the Solution Set (from cards)**: \(3\) (ass…