Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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draw a line representing the ise\ and a line representing the un\ of th…
1
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inequality: $12x>4 + 4(-5x - 9)$ inequality notation graph
Inequality Notation: $x > - 1$ Graph: An open circle at $x=-1$ on the number - line and a line extending to the right.
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23. which of the following best describes a rotation? a. an increase in…
23. C. A turn around a point 24. C. Dilation 25. A. The sign of the x and y values is inverted 26. D. Reflection 27. A. Dilation
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18. which transformation will not change the size of a figure? a. compr…
18. c. Translation 19. a. Dilation 20. a. The figure changes size. 21. c. (3,4) 22. b. Reflection
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10. if $overrightarrow{bd}$ bisects $angle cbe$, $bcperp ba$, $mangle c…
$32^{\circ}$
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8 if m∠ecd is six less than five times m∠bce, and m∠bcd = 162°, find ea…
$m\angle BCE = 28^{\circ}$ $m\angle ECD = 134^{\circ}$
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14. which transformation can change the orientation of a figure? a. ref…
14. a. Reflection 15. a. Translation 16. c. The polygon appears unchanged. 17. c. (-x, -y) 18. No complete option list for 18, but if considering rigid - motions, translation, rot…
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10. what happens to a point (x, y) if it is reflected across the y - ax…
10. d. $(-x,y - 4)$ 11. d. Preserves them 12. a. It mirrors it across a line 13. a. It looks the same as it did before rotating
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if ∠def is a straight angle, m∠deg=(23x - 3)°, and m∠gef=(12x + 8)°, fi…
$x = 5$ $m\angle DEG=112^{\circ}$ $m\angle GEF=68^{\circ}$ $m\angle DEF=180^{\circ}$
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5. how does a dilation affect the size of a figure? a. it reverses b. i…
5. d. It changes 6. c. A two - dimensional, closed figure with straight sides 7. c. (6,8) 8. b. Reflection 9. None of the options provided are correct. The correct term is rotatio…
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if m∠def=(7x + 4)°, m∠deg=(5x + 1)°, and m∠gef = 23°, find each measure…
$x = 10$ $m\angle DEG=51^{\circ}$ $m\angle DEF=74^{\circ}$
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a transformation is applied to create a new figure on the coordinate gr…
Translations, rotations, and reflections preserve congruence.
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1. which sequence correctly describes moving a figure 3 units left, rot…
1. d. Translation, rotation, reflection 2. c. (9,6) 3. c. Translation 4. b. (2,-1) 5. (No options provided completely in the question for this part. But dilation changes the size …
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what is the symbol for equal? what is the symbol for similar? what is t…
What is the symbol for equal? = What is the symbol for similar? ∼ What is the symbol for congruent? ≅ Which types of transformations do not preserve congruence? Dilation
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14a. which rotation about the origin is (x, y) → (y, -x)? a. 270° ccw b…
14a. A. $270^{\circ}$ CCW 14b. B. $(6,-1)$ 14c. B. $(-5,2)$ 14d. B. $(-8,0)$
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13. 180° rotation 13a. which rotation about the origin results in (x,y)…
13a. A. 180° 13b. A. \((-2,3)\) 13c. A. \((4,-5)\) 13d. A. \((0,-7)\)
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10. describe a translation 10a. which describes (x,y)→(x + 5,y - 2)? a.…
10a. A. 5 right, 2 down 10b. C. 3 left, 4 up 10c. B. 7 left, 1 down 10d. B. 6 right, 2 up 11a. A. y - axis 11b. B. x - axis
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9. identify transformation rule 9a. which rule reflects over the x - ax…
9a. A. $(x,y)\to(x, - y)$ 9b. B. $(x,y)\to(x,y - 2)$ 9c. C. $(x,y)\to(-x,y)$ 9d. A. $(x,y)\to(x - 3,y + 4)$
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8. translation rules 8a. a shape is translated with rule (x,y)→(x + 4,y…
B. $(7,-3)$ ### 8b
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7. perimeter and area after dilation 7a. a triangle is dilated with sca…
7a. C. 3 times larger 7b. A. $\frac{1}{4}$ the original 7c. A. 4 times larger, 16 times larger 7d. A. Perimeter = $\frac{1}{3}$, area = $\frac{1}{9}$
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6. trapezoid dilation properties 6a. trapezoid wxyz is dilated with sca…
6a. B 6b. A, B 6c. A 6d. A
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5. dilation rules with quadrilaterals 5a. a quadrilateral is dilated fr…
5a. A. $(x,y)\to(2x,2y)$ 5b. B. $(x,y)\to(\frac{1}{3}x,\frac{1}{3}y)$ 5c. A. $(x,y)\to(4x,4y)$ 5d. A. $(x,y)\to(\frac{1}{2}x,\frac{1}{2}y)$
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4. dilation rules and properties 4a. which rule best represents a dilat…
4a. A. \((x,y)\to(\frac{1}{2}x,\frac{1}{2}y)\) 4b. A. \((x,y)\to(3x,3y)\) 4c. A. \((x,y)\to(\frac{1}{4}x,\frac{1}{4}y)\) 4d. B. \((x,y)\to(5x,5y)\)
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express the relation in the graph as a set of ordered pairs. a) {(2, 5)…
D. \{(2,5),(5,0),(7,8),(7,10),(10,2)\}
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2c. which transformations always result in a figure that is the same si…
B. Translation and rotation D. Reflection and rotation
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1d. triangle vwx is dilated about center z to form triangle vwx. which …
C. $\triangle VWX\sim\triangle V'W'X'$
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given $overline{ac}$ with $a(3, 4)$ and $c(-9, -2)$, if $b$ partitions …
The coordinates of \(B\) are \((1,3)\)
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given directed line segment $overline{qs}$, find the coordinates of $r$…
The coordinates of \(R\) are \((\frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8})\), where \((x_1,y_1)\) are the coordinates of \(Q\) and \((x_2,y_2)\) are the coordinates of \(S\).
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1. given directed line segment $overline{ab}$, find the coordinates of …
The coordinates of \(P\) are \((\frac{2x_2+x_1}{3},\frac{2y_2+y_1}{3})\). To plot \(P\), first find the \(x\) and \(y\) values using the above - mentioned formula with the actual …
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7. find the width of the rectangular prism when the surface area is 208…
$4$ cm
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the point (5, -2) is on the terminal ray of angle θ, which is in standa…
First find $r = \sqrt{x^{2}+y^{2}}$ with $x = 5$ and $y=-2$. Then use $\sin\theta=\frac{y}{r}$, $\cos\theta=\frac{x}{r}$, $\tan\theta=\frac{y}{x}$, $\csc\theta=\frac{r}{y}$, $\sec…
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matching match the description with the correct stage space. answers mi…
1. Thrust stage 2. Arena stage 3. Flexible space 4. Found space 5. Arena or thrust stage 6. Proscenium stage
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for the figure below, do a dilation centered at the origin with a scale…
Endpoints of original figure: Left: \((1,2)\) Right: \((3,6)\) Endpoints of final figure: Left: \((\frac{1}{2},1)\) Right: \((\frac{3}{2},3)\)
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if x = 13 cm, y = 6 cm, and z = 25 cm, what is the area of the figure s…
114
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use pages 30 and 31 of the student text to complete the worksheet. choo…
1. 12 2. double jeopardy 3. constitutional 4. high 5. Sixth 6. true 7. true 8. false 9. false 10. false
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formula 2 points given the following values, find the perimeter of the …
40
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formula 2 points given the following composite figure, d = 16 in and w …
90.2
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in each example below, calculate both the a. perimeter and b. area of e…
a. Perimeter of shape 2: 16 b. Area of shape 2: 10
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2 formula 2 points fido the dog is on a 11.7 - ft chain that is attache…
$214.9$
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find the center and radius of the circle with the given equation. x^2+(…
center $(x,y)=(0,1)$ radius $4$
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identify any intercepts. (if an answer does not exist, enter dne.) x - …
x - intercept: (2,0) y - intercept: (0, - 8)
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7) find vw u • 5 • v x + 2 • w 2x
7
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6) find ml m ● 2x - 6 ● l 5 + x ● k |←—————14—————→|
4
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4) h • 6 • i? • j 13
7
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name: nicoly felix | unit 1 lesson 2 1. this diagram was created by sta…
1. Set compass width to AB. 2. Draw circles centered at A and B. 3. Use straightedge to connect intersection - points of the circles to get line CD.
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3) f • ? • g 5 • h 9
4
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2) g • ? h • 2 • i 7
5
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find the length indicated. 1) d •? • e 8 • f 12
4
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o is the mid - point of segment fg. draw a picture, write an equ of eac…
$x = 8$, $FO = 41$, $OG = 41$, $FG = 82$
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plot the image of triangle △abc under a reflection across line ℓ.
# Explanation: ## Step1: Recall reflection rule For a point $(x,y)$ reflected across a vertical line $x = a$, the new - x - coordinate is $2a - x$ and the y - coordinate remains t…
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5 select the correct answer from each drop - down menu. study this inco…
the distance between $J$ and $K$
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name: nicoly felix period: 3 date: 15/09/2025 1. this diagram is a stra…
A. Line \(CD\) is perpendicular to segment \(AB\) B. Point \(M\) is the midpoint of segment \(AB\) E. \(CB + BD>CD\)
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select the correct answer. casey constructed this figure by using a com…
A. She used a compass centered at \(P\) with a radius set equal to \(PQ\).
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51. in the figure, x:y = 2:3 and y:z = 3:5. if x = 10, find the value o…
51. $z = 25$ 52. $5.02$ 54. B. $xyz = yxz$ 55. No solution 56. $b=-7$ or $b=-11$ 57. $p = 10$ or $p=-7$ 58. $c = 4$ or $c=-\frac{4}{5}$
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select the correct answer. based on the construction shown, what is the…
A. Keep the string length and draw an arc centered at point B that crosses the other arc in two places.
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select the correct answer from each drop - down menu. the given diagram…
The diagram shows the construction for copying angle $ABC$. If $m\angle ABC$ is $24^{\circ}$, then $m\angle FDE$ is $24^{\circ}$.
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complete the square and write the equation of the circle in standard fo…
The standard - form of the equation is $(x+\frac{7}{2})^{2}+(y - 1)^{2}=\frac{57}{4}$, the center is $(-\frac{7}{2},1)$ and the radius is $\frac{\sqrt{57}}{2}$
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problem 9 in the construction, a is the center of one circle and b is t…
D. \(CA\)
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the diagram was constructed with straightedge and compass tools. name a…
Segments \(AB\), \(BE\), \(ED\)
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problem 3 here are 2 points in the plane. 1. using only a straightedge,…
1. No. A straightedge can only draw lines and cannot measure distances to find equidistant points. 2. Yes. Intersection points of circles centered at A and B with radius equal to …
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additional practice problem set unit 1 lesson 7 additional practice pro…
a. 34 feet b. 6 feet c. 8 meters
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problem 2 a, b, and c are the centers of the 3 circles. how many equila…
4
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the area of the trapezoid is 900 square feet. what is the trapezoids he…
45
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the area of the trapezoid is 600 square centimeters. what is the trapez…
30
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1. complete the square box problem. 3 5
\(\sqrt{15}\)
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what is the area of this figure? write your answer using decimals, if n…
102
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tiana will dilate rectangle abcd shown below using the rule (x, y) → (0…
13. True 14. True 15. False
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select the correct answer. given: rstu is a rectangle with vertices r(0…
A. definition of congruence; distance formula; if two consecutive sides of a rectangle are congruent, then it's a square; definition of congruence; if two consecutive sides of a r…
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apply your knowledge of dilations on the coordinate plane to answer 8 -…
a. Smaller, because \(\frac{1}{3}\) is less than 1. b. \(Z'(3,4)\) c. Roberto, Maxine
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solve and graph the following inequality: -6 - 8x ≥ 7
Inequality: $x\leq-\frac{13}{8}$ Graph: On a number - line, draw a closed circle at $-\frac{13}{8}=-1.625$ and shade to the left.
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1. a scale drawing of a school bus has a scale of 1/2 inch to 5 feet. i…
1. The actual length of the bus is 40 feet. 2. The width of the lake on the scale drawing is 20 cm.
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find the reference angle for $\frac{7pi}{10}$. the reference angle is $…
$\frac{3\pi}{10}$
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find a coterminal angle with measure $\theta$, where $0^{circ}leq\theta…
43. $30^{\circ}$ 44. $100^{\circ}$ 45. $0^{\circ}$ 46. $90^{\circ}$ 47. $280^{\circ}$ 48. $280^{\circ}$ 49. $310^{\circ}$ 50. $250^{\circ}$
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9. gate a gate has a diagonal support. describe the relationship betwee…
$\angle1$ and $\angle2$ are congruent. ### 4.
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directions: circle whether or not these scenarios are allowed under the…
1. LEGAL 2. ILLEGAL, Freedom of Assembly (First Amendment) 3. LEGAL 4. ILLEGAL, Free Exercise of Religion (First Amendment) 5. LEGAL
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question 10 of 10 determine which set(s) of coordinates below are colin…
Set 1: A(0,6), B(2,3) and C(4,0) are collinear; Set 2: D(0,3), E(2,0) and F(4,-3) are collinear; Set 3: G(0,3), H(4,0) and I(8,-3) are collinear.
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7. what kind of angles are these? vertical these angles are equal. plea…
$15$
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in the figure, the ratio of the area of rectangle abef to the area of r…
# Explanation: ## Step1: Calculate the length of sides using distance formula The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 …
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for each representation of a dilation, list the scale factor and an alg…
7. Scale factor: $\frac{1}{2}$, Rule: $(x,y)\to(\frac{1}{2}x,\frac{1}{2}y)$ 8. Scale factor: $\frac{3}{4}$, Rule: $(x,y)\to(\frac{3}{4}x,\frac{3}{4}y)$ 9. Scale factor: $\frac{5}{…
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write $overrightarrow{uv}$ in component form, with $u(8,3)$ and $v(6,0)…
$\langle - 2,-3 angle$
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complete each statement in exercises 39 - 42, where $\theta$ is the mea…
39. First 40. Third 41. Second 42. Fourth
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2. triangle z is a scaled copy of triangle m. select all the sets of va…
a) 8, 11, and 14; b) 10, 17.5, and 25
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saul and felipe are standing at the corner of a rectangular park. they …
5.0
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in the figure, the ratio of the area of rectangle abef to the area of r…
# Explanation: ## Step1: Recall distance formula The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. ## Step2: Find si…
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use the diagram of the state flag of texas shown at the right. 18. name…
18. $AB\parallel CD$, $BC\parallel DE$, $DE\parallel GH$, $AB\parallel GH$ 19. $AB\perp BC$, $BC\perp CD$ 20. The flagpole
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the area of a triangle varies jointly with the height of the triangle a…
200 square centimeters
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in the figure, the ratio of the area of rectangle abef to the area of r…
The perimeter of rectangle $BCDE$ is 16 units. The ratio of the area of rectangle $ABEF$ to the area of rectangle $ACDF$ is 3:4.
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a quadrilateral has vertices a(4, 5), b(2, 4), c(4, 3), and d(6, 4). wh…
E. ABCD is a rhombus with non - perpendicular adjacent sides.
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topic 2 proving lines are parallel using converse of theorems/postulate…
For #1: | Statements | Reasons | |--|--| | 1. $m\angle1 + m\angle2 = 180$ | 1. Given | | 2. $\angle1$ and $\angle3$ are linear - pair angles | 2. Definition of linear - pair | | 3…
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the volume of a pyramid varies jointly with the base area of the pyrami…
$89.6$
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complete the following proof using definitions and properties. (2 pts p…
1. $\overline{ST}\perp\overline{HL}$ (Given) 2. $\angle STL$ and $\angle STH$ are right angles (Definition of perpendicular lines) 3. $\angle STL\cong\angle STH$ (All right angles…
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the formula for the volume of a pyramid is v = 1/3 bh, where b is the a…
B = $\frac{3V}{h}$
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these angles are called ingrese su respuesta... angles and the value of…
Corresponding; - 1.5
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5 trouve le périmètre, p, de la figure ci - dessous. au besoin, arrondi…
$13.1$
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two angles that are formed by two lines and a transversal that are in c…
corresponding
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multiple choice a european country with an inverted triangle - shaped p…
A. pronatalist
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select the correct answers from each drop - down menu. complete the ste…
$KI=\sqrt{17}$, $KE=\sqrt{17}$, $IT=\sqrt{45}$, $TE=\sqrt{45}$
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the graphs of f and g are shown. describe two different transformations…
1. A vertical shift of 2 units up. 2. A vertical stretch by a factor of 2.
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you work for the national weather service and are asked to study the av…
I
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complete the following proof using definitions and/or properties. (2 pt…
| Statements | Reasons | |--|--| | \(A\) is the mid - point of \(\overline{CR}\), \(R\) is the mid - point of \(\overline{AS}\) | Given | | \(\overline{CA}\cong\overline{AR}\); \(…