Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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look at the coordinate plane. which point is in quadrant iv? coordinate…
\((4, - 1)\)
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read the passage from lord of the flies by william golding. ralph is sp…
through Ralph’s statement that fire is more important than hunting
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graph the compound inequality. 6 < x < 9 plot the endpoints. select an …
To graph \(6 < x < 9\): 1. At \(x = 6\), place an open circle (because \(x>6\), not \(x\geq6\)). 2. At \(x = 9\), place an open circle (because \(x < 9\), not \(x\leq9\)). 3. Draw…
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note: figure not drawn to scale. in the figure shown, $overline{ba}$ is…
\( \boxed{153} \)
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a right triangular prism with a right isosceles triangular base is show…
288
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49 which quadrant is the point w in? coordinate grid image with points …
Quadrant I
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which quadrant is the point k in?
Quadrant III
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which point is in quadrant iv?
Point \(G\) is in Quadrant IV.
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you start at (5, -2). you move left 3 units. where do you end?
(2, - 2)
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what additional information could be used to prove that the triangles a…
- $\boldsymbol{\angle B \cong \angle P}$ and $\boldsymbol{\overline{BC} \cong \overline{PQ}}$ - $\boldsymbol{\angle A \cong \angle T}$ and $\boldsymbol{AC = TQ = 3.2}$ cm - $\bold…
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you start at (-3, -5). you move left 1 unit and right 6 units. where do…
(2, - 5)
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you start at (-1, 2). you move left 2 units and right 7 units. where do…
\((4,2)\)
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you move right 9 units and left 6 units. you end at (-1, -5). where did…
\((-4,-5)\)
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given: ∠abc and ∠fgh are right angles; $overline{ba} parallel overline{…
AAS congruence theorem.
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which statements are true about additional information for proving that…
A. If \( \angle A \cong \angle T \), then the triangles would be congruent by ASA. B. If \( \angle B \cong \angle P \), then the triangles would be congruent by AAS.
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are the triangles congruent? why or why not? yes, all the angles of eac…
Yes, they are congruent by either ASA or AAS.
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you move up 4 units. you end at (-4, 1). where did you start?
\((-4, - 3)\)
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what additional information is needed to prove that the triangles are c…
$\boldsymbol{\angle L\cong\angle P}$ (the option with the text "$\angle L\cong\angle P$")
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3. find the perimeter of the square: image of a square with side labele…
The perimeter of the square is \( 12x - 4 \)
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which rigid transformation would map △mzk to △qzk? ○ a rotation about p…
D. a rotation about point \( Z \)
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2. find the perimeter of the rectangle: $3x^2 + 6x - 10$ $3x + 5$
\( 6x^2 + 18x - 10 \)
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two rigid transformations are used to map △jkl to △ mnq. the first is a…
D. a rotation about point \( K \) (Note: In the original options, the fourth option is "a rotation about point \( K \)", so the answer is the option with "a rotation about point \…
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you start at (5, -5). you move left 1 unit. where do you end? (□, □) su…
\((4, - 5)\)
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you move down 2 units and left 6 units. you end at (-3, -5). where did …
\((3,-3)\)
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you start at (5, -5). you move up 5 units. where do you end?
\((5,0)\)
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you start at (3, 4). you move left 6 units and right 3 units. where do …
(0, 4)
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the proof that δacb ≅ δecd is shown. given: (overline{ae}) and (overlin…
\(\boldsymbol{\angle ACB \cong \angle ECD}\) (the third option: \(\boldsymbol{\angle ACB \cong \angle ECD}\))
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the proof that δacb ≅ δecd is shown. given: $overline{ae}$ and $overlin…
\(\boldsymbol{\angle ACB \cong \angle ECD}\)
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you start at (2, 4). you move right 3 units and down 1 unit. where do y…
(5, 3)
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which rigid transformation would map δaqr to δakp? ○ a rotation about p…
a rotation about point A
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use the picture to write the correct segment addition statement. image:…
C. \( AB + BC = AC \) (assuming the orange option is labeled C, as per the order: yellow, purple, orange, teal corresponding to options 1 - 4, and the correct one is the orange on…
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two angles added together to produce 90 degrees (with options: compleme…
A. Complementary
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the proof that $\\triangle mns \\cong \\triangle qns$ is shown. select …
D. MS and QS
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diagram of a geometric figure (one arrow, one endpoint) with three opti…
B. ray (assuming the purple option is labeled as ray, with the yellow as line and orange as line segment)
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which of the following shows the construction of an angle bisector?
The first (yellow - colored) diagram (with vertex \( P \), arcs intersecting sides, and a line \( PW \) as the bisector) shows the construction of an angle bisector.
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the given diagram is what kind of construction? erpendicular bisector c…
D. Angle bisector
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what is the measure of the missing angle? options: 154, 156, 76, 66
B. 156 (assuming the options are labeled as A:154, B:156, C:76, D:66)
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give another name for line k. options: line bcf, line k is the only nam…
D. Line BC
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∠1 and ∠3 can best be described as - (opposite angles formed by interse…
D. vertical angles
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two lines intersect at a ... (options: intersection, point, line, angle)
2. point
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9. you are building a patio of the back of your house. the diagram show…
d. about 71 ft²
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you start at (5, -1). you move up 6 units and left 8 units. where do yo…
$(-3,5)$
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you start at (-3, 2). you move up 3 units and left 2 units. where do yo…
$(-5,5)$
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you start at (4, 0). you move down 1 unit and right 1 unit. where do yo…
(5, -1)
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how can δwxy be mapped to δmnq? translate vertex w to vertex m, then re…
$\overline{MQ}$ (the option with $\overline{MQ}$)
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7. identify the segment bisector of \\(\\overline{ab}\\). then find \\(…
c. \( \overleftrightarrow{NM} \); \( AM = 32 \) ### Problem 8
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you start at (2, -3). you move left 4 units and up 2 units. where do yo…
\((-2, -1)\)
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read the passage from \by the waters of babylon.\ but it was not dark. …
- "But it was not dark. Everywhere there were lights." - "I thought to myself 'This is a strong magic' and trembled." - "That was a sight indeed—yes, that was a sight: I could not…
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if vx = wz = 40 cm and m∠zvx = m∠xwz = 22°, can δvzx and δwxz be proven…
Yes, along with the given information, \(\overline{ZX}\cong\overline{ZX}\) by the reflexive property.
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two rigid transformations are used to map δabc to δxyz. the first is a …
a rotation about point A
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identifying linear pair the figure below, give the following. (a) one p…
(a): \(\angle 5\) and \(\angle 6\) (other valid pairs: \(\angle 1\) & \(\angle 2\), \(\angle 7\) & \(\angle 8\), \(\angle 3\) & \(\angle 4\), \(\angle 5\) & \(\angle 1\), etc.) ##…
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the proof that $\\triangle efg \\cong \\triangle jhg$ is shown. given: …
\(\boldsymbol{\angle GFE \cong \angle GHJ}\) (corresponding option: the second one, e.g., if options are labeled as A, B, C, D, then B. \(\angle GFE \cong \angle GHJ\))
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two rigid transformations are used to map δhjk to δlmn. the first is a …
a rotation about point H
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triangles rqs and ntv have the following characteristics: - right angle…
C. No, it is necessary to know that another set of corresponding sides is congruent.
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how can a translation and a rotation be used to map δhjk to δlmn? - tra…
C. Translate \(K\) to \(N\) and rotate about \(K\) until \(\overline{HK}\) lies on the line containing \(\overline{LN}\)
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in the diagram, (overline{kl} cong overline{nr}) and (overline{jl} cong…
\(\boldsymbol{\angle L\cong\angle R}\) (the option with the text "\(\angle L\cong\angle R\)")
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3. sketch a line and a ray that intersect a plane at the same point d. …
To sketch a line and a ray that intersect a plane at the same point: 1. Draw a plane (e.g., a parallelogram) to represent the plane. 2. Mark a point \( A \) on the plane. 3. Draw …
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a. \\(\\overline{uz}\\) and \\(\\overline{un}\\) intersect at \\(u\\). …
(Sketch Description): To sketch a line and a ray intersecting a plane at the same point: 1. Draw a plane (e.g., a parallelogram). 2. Mark a point \( P \) on the plane. 3. Draw a l…
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the points g(0, -3), h(0, 4), and i(-5, 3) form a triangle. plot the po…
19.9
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1) you start at (7, 4). you move right 3 units and up 5 units. where do…
$(10,9)$
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you start at (10, 7). you move up 1 unit. where do you end?
\( (10, 8) \)
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you start at (10, 2). you move up 1 unit. where do you end?
\((10, 3)\)
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you start at (2, 1). you move up 8 units. where do you end?
\((2,9)\)
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you start at (9, 6). you move right 1 unit. where do you end?
\((10, 6)\)
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write the coordinates of the vertices after a translation 8 units left …
\( P'(-9, -4) \), \( Q'(-1, -4) \), \( R'(-7, -7) \)
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write the coordinates of the vertices after a translation 7 units left …
- \( S'(-4, -10) \) - \( T'(-4, 0) \) - \( U'(3, 0) \) - \( V'(3, -10) \)
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write the coordinates of the vertices after a translation 10 units left…
The coordinates of the vertices after translation are \( P(-2,-1) \), \( Q(-2,8) \), \( R(-8,0) \)
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write the coordinates of the vertex after a translation 10 units left a…
If the original vertex is \( O(8, 3) \), the new coordinates after translation are \(\boldsymbol{(-2, 8)}\). (If other vertices, adjust accordingly: \( H(2, -5) \) becomes \( (-8,…
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a pool measuring 12 meters by 30 meters is surrounded by a path of unif…
The width of the path is \( \boldsymbol{6} \) meters.
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write the coordinates of the vertices after a translation 3 units left …
The new coordinates of the vertices are \( E'(-2, -1) \), \( F'(5, -1) \), \( G'(5, -8) \), \( D'(-2, -8) \).
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write the coordinates of the vertices after a translation 3 units left …
\(D'(-2, -8)\)
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finding the area of a polygon find the area of each polygon. each squar…
\( 24 \, \text{cm}^2 \) ### Problem 5:
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write the coordinates of the vertices after a translation 8 units down.
- \( A' \): \( (-6, -8) \) - \( B' \): \( (0, -8) \) - \( C' \): \( (-4, -4) \)
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find the area of each polygon. each square 1 square centimeter. the ans…
\( 15 \, \text{cm}^2 \) ### Problem 2:
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using the pencil, plot the reflection of point a across the x-axis.
Plot the point (-6, -6) on the grid.
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a geometric figure labeled with a circle containing 4, and dimensions: …
The area of the figure is \( 24 \, \text{cm}^2 \).
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question 4 of 12 undertake a full quantitative analysis of the followin…
(for the blanks): Length (longer dimension) of yard: $\boldsymbol{12}$ meters Width (shorter dimension) of yard: $\boldsymbol{9}$ meters Distance between posts: $\boldsymbol{1.5}$…
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of a polygon n. each square on the grid repres wers are mixed up at the…
The area of the polygon (parallelogram) is \( \boldsymbol{24} \) square units (e.g., \( 24 \, \text{cm}^2 \)).
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1 (with a grid-based geometric figure and a blank line below)
The area of the figure is \( \boldsymbol{12} \) square units.
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3 (grid with a pentagon, handwritten 4/4, 2, 4, and a blank line)
The area of the pentagon is \( \boldsymbol{10} \) (assuming each grid square has an area of 1).
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what is the slope of this line? simplify your answer and write it as a …
\(-1\)
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what is the slope of this line? simplify your answer and write it as a …
\(-6\)
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what is the slope of this line? simplify your answer and write it as a …
\(-\frac{4}{3}\)
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use the problem - solving flowchart. maria has 18 fewer apps on her pho…
Part 1 of 2: Maria has \(\boldsymbol{10}\) apps on her phone. Part 2 of 2: Orlando has \(\boldsymbol{28}\) apps on his phone.
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¿cuántos cubos hay actualmente en el prisma? 1 intentar respuesta debe …
162
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finding the area of a polygon find the area of each polygon. each squar…
### Problem 1: # Explanation: ## Step1: Divide the polygon The polygon can be divided into a triangle and a parallelogram. ## Step2: Area of parallelogram Base = 4, height = 3, ar…
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5. expected admission to the zoo (z) can be represented by ( z(t) = 140…
320 ### Problem 6
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find the measures of the labeled angles. (x + 105)° 4x° (x + 105)° = 14…
\(4x^\circ=\boxed{140}^\circ\)
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7. simplify: √144 ______ √361 ______ −√144 ______ −√49 ______ −√1 _____…
$\sqrt{144}=\boldsymbol{12}$; $\sqrt{361}=\boldsymbol{19}$; $-\sqrt{144}=\boldsymbol{-12}$; $-\sqrt{49}=\boldsymbol{-7}$; $-\sqrt{1}=\boldsymbol{-1}$; $-\sqrt{225}=\boldsymbol{-15…
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13 explain two ways you can tell which triangles in problems 1–6 have a…
Two ways are: 1) Use the triangle area formula \( A = \frac{1}{2}bh \) to calculate the area of each triangle and check if it is greater than 15. 2) Compare the base - height prod…
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cubos en el paso 1:9 ¿cuántos cubos hay actualmente en el prisma? inten…
567
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a classroom teacher relocates the students’ seats using the translation…
To solve this, we need to know the original position of seat A (e.g., its column and row). Since the problem is about translation (a geometric transformation), we assume a typical…
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7. simplify: $sqrt{144}$ ______ $sqrt{361}$ ______ $-sqrt{144}$ ______ …
c. between 5 and 6 ### Problem 10: Circle all numbers that lie between $\boldsymbol{2.8\times10^{0}}$ and $\boldsymbol{\sqrt{12.25}}$ First, simplify the bounds: - $2.8\times10^{0…
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trifles by susan glaspell scene: the kitchen in the now abandoned farmh…
include the use of lighting, camera angles, and sound effects
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cubos en el paso 1:8 cubos en el paso 2:24 ¿cuántos cubos hay actualmen…
216
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write a true biconditional about angle bisectors. select the correct ch…
\( \boldsymbol{\overrightarrow{BX}} \) is the bisector of \( \boldsymbol{\angle ABC} \) if and only if \( \boldsymbol{m\angle ABX = m\angle CBX} \) (or \( \boldsymbol{\angle ABX \…
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1. simplify – find the perfect squares. 1² = _____ 6² = _____ 11² = ___…
### Problem 1: Simplify – Find the perfect squares #### Step 1: Calculate \(1^2\) \(1^2 = 1 \times 1 = 1\) #### Step 2: Calculate \(2^2\) \(2^2 = 2 \times 2 = 4\) #### Step 3: Cal…
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problems 1–6 have an area 8 in. 4 in. 12 in. 7 in. 3 in. 4 in. 5 in. on…
Let's solve the area of each triangle (assuming the circled problems are 8, 10, 12; we'll calculate each): ### Problem 8 (Right Triangle) # Explanation: ## Step1: Recall triangle …
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a school gym is divided for a fair by bisecting its width and its lengt…
Each section is \( 22.5 \) ft long by \( 30 \) ft wide. The area of each section is \( 675 \) square feet.
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use the definition of an angle bisector to answer each question below. …
\(48\) ### Question 17