Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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which statement explains how you could use coordinate geometry to prove…
C. Use the distance formula to prove the lengths of the opposite sides are the same.
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which statements, when combined, describe a sequence of transformations…
B. A translation: \( (x, y) \mapsto (x + 5, y + 8) \) E. A dilation centered at the origin by a scale factor of 3.
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question 7 (multiple choice worth 1 points) (04.01r mc) how can you pro…
A. Use the distance formula to see if at least two sides are congruent.
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choose all that correctly describe a property of a similarity transform…
A. Corresponding angles are congruent for a similarity transformation. C. The scale factor for a similarity transformation is the product of the scale factors. D. Each point \(P'\…
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consider that $\\triangle abc$ is similar to $\\triangle xyz$ and the m…
B. \( 68^\circ \)
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ivan used coordinate geometry to prove that quadrilateral efgh is a squ…
$\overline{EF}$ length: $\sqrt{(1+2)^2+(6-3)^2} = 3\sqrt{2}$ $\overline{GH}$ length: $\sqrt{(1-4)^2+(0-3)^2} = 3\sqrt{2}$ (Additional complete steps would confirm all sides equal …
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lydia graphed $\\triangle lmn$ at the coordinates $l (0, 0)$, $m (2, 2)…
No; the slopes of $\overline{LM}$ and $\overline{LN}$ are not opposite reciprocals.
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similarity & transformations which transformation confirms that rectang…
B. Rectangle ABCD is rotated \( 90^\circ \) clockwise about the origin and then dilated by a scale factor of \( \frac{1}{2} \) with the origin as the center of dilation.
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give a pair of alternate interior angles, a pair of alternate exterior …
s: (a) Alternate interior angles: \( \boldsymbol{\angle 3} \) and \( \boldsymbol{\angle 5} \) (or other valid pair like \( \angle 4 \) & \( \angle 6 \)) (b) Alternate exterior ang…
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give a pair of corresponding angles, a pair of alternate exterior angle…
(a) Corresponding angles: \( \boldsymbol{\angle 5} \) and \( \boldsymbol{\angle 7} \) (other valid pairs: \( \angle 6 \) & \( \angle 8 \), \( \angle 1 \) & \( \angle 3 \), \( \ang…
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give a pair of alternate exterior angles, a pair of corresponding angle…
(a) Alternate exterior angles: $\angle 1$ and $\angle 8$ (or $\angle 2$ and $\angle 7$) (b) Corresponding angles: $\angle 1$ and $\angle 5$ (or $\angle 2$ and $\angle 6$, $\angle …
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given ( \triangle bae ) is isosceles with base angles ( angle bea ) and…
A. yes, by AA criterion
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what can you conclude about the two triangles? why? a they are congruen…
B. They are similar as the three angles have the same measure.
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5. answer the following questions to the best of your ability. - no wor…
Choice A ### Part (b)
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if $\\angle ecd = 45^{\\circ}$ and $\\angle bed = 110^{\\circ}$ is $\\t…
A. yes, by AA criterion
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given that $\\triangle uvw$ is similar to $\\triangle xyz$, find the le…
D. 20
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using the graph, determine the equation of the axis of symmetry.
\(x = - 6\)
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given that δpqr is similar to δpts, which statement must be true? a ( m…
E. \(m\angle PST = m\angle PQR\)
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5. answer the following questions to the best of your ability. - no wor…
a) Choice A ### Part (b)
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give the location of london as an ordered pair (x, y).
$(-5, 8)$
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give the location of dallas as an ordered pair (x, y).
$(x,y) = (1, -5)$
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for $\\triangle abc$, $\\angle a = 3x - 8$, $\\angle b = 5x - 6$, and $…
D. \(\angle B = \angle B' = 74^\circ\) and \(\angle C = \angle C' = 66^\circ\)
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you are given two triangles and the information that the three pairs of…
D. One pair of corresponding sides has the same measure.
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suppose that m∠c = m∠f. which other fact would guarantee that the trian…
B. \( m\angle B = m\angle E \)
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if $\\angle abe = 100\\degree$ and $\\angle edc = 100\\degree$, are the…
A. yes, by AA criterion
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triangles efg and qrs are similar. the lengths of the sides of efg are …
B. 180
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28. a set of three lines that has three points of intersection. 29. two…
28. A set of three non-parallel, non-concurrent lines (each pair intersects at a unique point, forming a triangle's sides, for example) 29. Two non-parallel planes, which intersec…
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dilations in the coordinate plane what is the term for a transformation…
B. dilation ### Second Question: (Assuming the original coordinates of point A are \((-3, 3)\) from the grid context of dilation by a factor of 3. If not, the general method is: F…
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graph dilations of the plane when you dilate a figure, the coordinates …
B. multiplied ### Second Question:
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plot the point (1, -8) and identify the quadrant. click on the graph to…
To plot the point \((1,-8)\): Move 1 unit right on the x - axis and 8 units down on the y - axis. The point \((1,-8)\) is in Quadrant IV.
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the diagram shows a zoo’s plan for fencing off a section of the lion ex…
# Explanation: ## Step1: Identify cage side lengths (units) First, find the length of each dotted side using coordinates and distance formula $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$: -…
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similar figures similar figures find missing side length show transcrip…
C. Proportional ### Second Question:
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write the coordinates of the vertices after a reflection over the line …
\( S'(-9, 1) \) \( T'(-9, 9) \) \( U'(0, 9) \) \( V'(0, 1) \)
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write the coordinates of the vertices after a reflection over the line …
\( Q'(5, 2) \) \( R'(9, 2) \) \( S'(7, -8) \)
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in the figure below, s is the center of the circle. suppose that lm = 8…
\( x = 5 \) \( PS = 10.5 \)
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understanding dilations dilate the figure by a factor of two. the origi…
A. True ### Second Question (First Example - Square Size)
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write the coordinates of the vertices after a reflection over the line …
\( R'(1, -9) \) \( S'(4, -9) \) \( T'(4, -4) \) \( U'(1, -4) \)
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given: \\(\frac{fe}{de} = \frac{ge}{ce}\\) prove: \\(\triangle dec sim …
C. Vertical Angles
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36. structure rectangle a is similar to rectangle b. rectangle a has si…
B. 9, D. 36
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look at the image below. given: \\(\frac{ge}{de} = \frac{fe}{ce}\\) pro…
1. For the first row (Statement 1: \(\frac{GE}{DE}=\frac{FE}{CE}\)): Given 2. For the second row (Statement 2: \(\angle GEF\cong\angle DEC\)): Reflexive Property 3. For the third …
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71. the incenter of $\\triangle abc$ is point $n$, $nz = 4x - 10$, and …
$26$
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60. find the values of x and y that make the quadrilateral a parallelog…
$x = 13$, $y = 7$
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59. modeling real life you are making a blueprint of a house. you measu…
The scale factor is $\frac{1}{16}$ (1 inch on blueprint = 16 inches in real life, or 1 inch = $1\frac{1}{3}$ feet)
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given $de \\parallel ac$ prove $\\frac{ab}{db} = \\frac{cb}{eb}$ | stat…
- For \( \angle D \cong \angle A \): When parallel lines are cut by a transversal, corresponding angles are congruent. - For \( \angle B \cong \angle B \): Reflexive property - Fo…
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65. the two triangles are similar. find the value of x.
$8$
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a right triangle with one leg length 9, hypotenuse length m, and one ac…
\(m\approx103.26\) (or more precise value depending on calculator precision)
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given $de \\parallel ac$ prove $\\frac{ab}{db} = \\frac{cb}{eb}$ (image…
- First row (Reason: When parallel lines...): \( \angle D \cong \angle A \) - Second row (Reason: Reflexive property): \( \angle B \cong \angle B \) - Third row (Reason: AA Simila…
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continue reading the essay. use the close reading and hint to help you …
C. Teachers can better relate to their students’ experiences. ### "Show Your Thinking" Question
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review & refresh in exercises 55–57, find the value of ( x ). 55. trian…
Exercise 55: $x = 63$ Exercise 56: $x = 7.2$ (or $\frac{36}{5}$)
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21. error analysis describe and correct the error in finding the perime…
The error is that the ratio was set up incorrectly: the side length ratio (small triangle to large triangle) was paired with the large triangle's perimeter over the small triangle…
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name: ______ date: ______ per: ____1. monica put tan 42 into her calcul…
The 42 means the measure of an angle (in degrees, most likely) for which we are calculating the tangent. Specifically, it is the measure of an acute angle in a right - triangle (f…
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circle & cylinder vocabulary – fill-in-the-blank worksheet word bank ci…
circumference ### Question 2
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given : ( mangle acb = 110^circ ), ( mangle cde = 40^circ ), ( mangle b…
The reasons filled in order for the statements are: Given, Given, Given, Triangle Sum Theorem, Substitution Property, Simplify, Subtraction Property, Substitution Property, Defini…
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given: \\(\\triangle abc\\) \\(de \\parallel ac\\) prove: \\(\\angle a …
A. Definition of straight angles
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find the length of the missing side for this right triangle. (estimate …
\(8.06\)
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de || ac find the length of \\(\\overline{da}\\). \\(da = \\square\\)
\( 10.5 \) (or \(\frac{21}{2}\))
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problem 6: find the length of the missing side for this right triangle.…
10.00
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given : $4ps = pr$, $4qt = qr$ prove : $\\angle fpq \\cong \\angle fst$…
The completed table with reasons is as above. For the final proof of \( \angle FPQ\cong\angle FST \), the key is using SAS Similarity for the triangles and then the corresponding …
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slope and rate of change each of the line segments in the word math are…
7. Line 1 = Undefined 8. Line 2 = Negative 9. Line 3 = Positive 10. Line 4 = Undefined 11. Line 5 = Positive 12. Line 6 = Negative 13. Line 7 = Zero 14. Line 8 = Zero 15. Line 9 =…
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given: $be \\parallel cd$ prove: $\\frac{bc}{ab} = \\frac{ed}{ae}$ tria…
B. Subtraction Property
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question quadrilateral ijkl is similar to quadrilateral mnop. find the …
\( 19.4 \)
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given : \\(\\overline{vw} \\parallel \\overline{zm}\\)\\(\\frac{vw}{zm}…
| Statement | Reason | | --- | --- | | \(\overline{VW} \parallel \overline{ZM}\) | Given | | \(\angle VWM \cong \angle ZMY\) | Corresponding Angles | | \(\frac{VW}{ZM} = \frac{WM}…
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what inequality does the number line show? x < 7 x ≤ 7 x ≥ 7 x > 7
\(x \leq 7\) (or the option with \(x \leq 7\) text)
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mathématiques 4ème secondaire cst - la trigonométrie 2. à laide de la f…
2a) $\boldsymbol{168}$ dm² 2b) $\boldsymbol{10.2}$ km² 2c) $\boldsymbol{\approx 1.97}$ m² 3a) $\boldsymbol{114}$ mm² 3b) $\boldsymbol{10.24}$ dm² 3c) $\boldsymbol{\approx 5.34}$ k…
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volume of a cylinder sheet 2 use the measurements to find the volume of…
Working Out: \( V = \pi \times 15^2 \times 7 \approx 4948.00 \) \( \text{cm}^3 \) Volume: \( 4948.00 \) \( \text{cm}^3 \) ### Problem 2: Cylinder with diameter 9 in (so radius \( …
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what is the area of the triangle? 2.8 in. 0.7 in. 2 in. square inches s…
0.7
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the area of the triangle is 400 square centimeters. 20 cm what is the t…
\( 40 \)
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the area of the triangle is 0.12 square kilometers. 0.7 km 0.8 km what …
\( 0.3 \)
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g is the midpoint of \\(\\overline{fh}\\). if \\(fg = 4x\\) and \\(gh =…
\( 4 \)
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what is the volume? 15 yd 15 yd 8 yd cubic yards submit
900
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the area of the triangle is 8 square miles. what is the triangles heigh…
4
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the area of the triangle is 3 square feet. what is the triangles height…
\( 2 \)
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36) a line that passes through the points (-1, -4) and (4, 2) is shown.…
\( 5x + 6y = 27 \) (the fourth option: 5x + 6y = 27)
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m∠x = m∠y = m∠z = (there are two triangles in the image, one with angle…
\(m\angle X = 20^\circ\), \(m\angle Y = 105^\circ\), \(m\angle Z = 55^\circ\)
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in the diagram below, (overline{qr}) is parallel to (overline{no}). (pr…
\( 11.6 \)
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circle rapid - fire word problems solve each short word problem. show a…
The circumference of the tire is approximately \( \boldsymbol{88.0} \) inches. #### Part b: Distance traveled in 3 rotations
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what is the area of the triangle? 0.4 in, 0.5 in, 0.2 in. square inches…
\( 0.04 \)
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what is the area of the triangle? 6 ft. 15 ft. square feet submit
45
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what is the area of the triangle? 5.5 cm 5 cm 2.5 cm square centimeters…
\( 6.25 \)
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what is the area of the triangle? 0.5 yd. 0.4 yd. square yards submit
\( 0.1 \)
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what is the area of the triangle? 9 in. 4 in. square inches submit
18
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what is the area of the triangle? 7 km 2 km 5 km square kilometers subm…
\( 5 \)
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what is the area of the triangle? 2 yd. 7 yd. 6 yd. square yards submit
6
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ch. then sketch the graph. 20) (\frac{y^2}{4} - \frac{x^2}{4} = 1)
- Center: \((0,0)\) - Vertices: \((0,2)\), \((0, - 2)\) - Foci: \((0,2\sqrt{2})\), \((0,-2\sqrt{2})\) - Asymptotes: \(y = x\), \(y=-x\) - Graph: Vertical hyperbola centered at ori…
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what is the area of the triangle? 9 yd. 12 yd. 10 yd. square yards subm…
45
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f each. then sketch the graph. $(0,0)$ $\\frac{y^2}{4} - \\frac{x^2}{4}…
\(\boldsymbol{\frac{x^2}{81} - \frac{y^2}{49} = 1}\)
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what is the area of the triangle? 10 mm 9 mm 8 mm square millimeters su…
36
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what is the area of the triangle? 7 ft. 5 ft. 8 ft. square feet submit
20
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special right triangles quick check if the side opposite a 60 - degree …
14 cm (the option: 14 cm)
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special right triangles quick check use what you know about the relatio…
18√3 inches (Option: 18√3 inches)
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draw the reflection of the following quadrilateral over the line n.
To draw the reflection, follow these steps: 1. Identify the coordinates of each vertex of the quadrilateral. 2. Determine the equation of line \( n \) (e.g., \( y = k \)). 3. Refl…
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follow the guided instructions below to rotate the figure $90^{circ}$ c…
To draw the circle: 1. Choose a vertex of the triangle (e.g., the vertex at (0, -8)). 2. Calculate the distance from the origin (0,0) to this vertex: using the distance formula $d…
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look at the diagram. which equation can be used to solve for x? 3x + 51…
\( 3x + 51 = 180 \) (the first option)
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determine if triangle tuv and triangle wxy are or are not similar, and,…
The triangles are similar. We know this because two angles of triangle \( TUV \) ( \( 30^\circ \) and \( 90^\circ \) or \( 30^\circ \) and \( 60^\circ \)) are equal to two angles …
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instructions place the events in the order in which they occur in the t…
1. FIRST: It was particularly challenging in the 1940s and 1950s for women engineers to advance in their field. 2. SECOND: Dorothy Vaughn was put in charge of the West Area Comput…
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11. what is the range of possible values for x? 12. suppose ( mangle ab…
$13 < x < 88$ ### Question 12
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look at the diagram. which equation can be used to solve for x? $8x + 2…
(for the equation): \( 8x + 26 = 90 \) ### Part 2: Solve for \( x \)
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find the tangent of ∠h. simplify your answer and write it as a proper f…
\( \frac{15}{8} \)
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what is the vertical intercept? in other words, at what point does the …
$(0, 0)$
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13. a triangular pendant has sides of length 23 mm and 31 mm. what are …
B. between 9 mm and 53 mm, inclusive ### Question 14