Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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7. if two triangles have two pairs of corresponding angles that are equ…
c. Angle - Angle ### Question 8
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name date period set 3. one quadrilateral with special attributes is a …
Geometric definition of a kite: A quadrilateral with two distinct pairs of adjacent sides that are congruent (equal in length). Sketch: Draw a quadrilateral with vertices labeled …
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1. what does the aa criterion stand for in triangle similarity? a. angl…
a. Angle - Angle ### Question 2
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4. perform a reflection across the x-axis for the ordered pair a(5, -7)…
c) \(A'(5,7)\) ### Question 5
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in figure r? a. a translation of 7 units to the right b. a rotation of …
D. a reflection over the \(y\) - axis followed by a translation of 1 unit to the right
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wy is an altitude in triangle wxz. if δywz ~ δyxw, what is true about ∠…
\( \angle XWZ \) is a right angle.
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name lesson 4: symmetries of quadrilaterals ready, set, go ready 1. def…
A polygon is a closed, two - dimensional figure with straight - line sides (at least 3), where sides don't cross. ### Question 2: Fill in the names of each polygon based on the nu…
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15. given the graph below, find wv.
If the coordinates of \( W \) are \((-3,-2)\) and \( V \) are \((0,4)\), then \( WV = 3\sqrt{5}\) (or approximately \( 6.71 \)). If there was a miscalculation in coordinates, but …
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13. if two triangles are similar, their corresponding angles are: a. pr…
c. Equal ### Question 14
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press \try\ to test a transformation or sequence of transformations.
A. Translation (e.g., "Translate 11 units right and 9 units up") followed by a Rotation (e.g., "Rotate 90° clockwise"). (Adjust based on the dropdown choices provided in the inter…
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which best explains why all equilateral triangles are similar? all equi…
C. All equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations.
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1. parallelogram rstu is located on the coordinate plane, and the measu…
C. \(98^{\circ}\)
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qr, \\(\\overline{rs}\\), and \\(\\overline{sq}\\) are midsegments of \…
14.50 cm
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given: abcd is a parallelogram. prove: \\(\\overline{ab} \\cong \\overl…
\(\overline{BC} \cong \overline{DA}\) (with the reason being CPCTC, as the triangles are congruent and these are corresponding sides).
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quadrilateral jklm will be reflected over the x-axis to create its imag…
B. \(-7\)
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10. in $\\triangle abc \\sim \\triangle def$, if $ab = 5$, $de = 9$ and…
d. 16 ### Question 11
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13. find st if s(-3, 10) and t(-2, 3).
The length of \(ST\) is \(5\sqrt{2}\) (or approximately \(7.07\)).
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which value of y would make op || ln? 16 24 32 36
36
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7. which similarity criterion requires two angles of one triangle to be…
d. AA ### Question 8
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20. parallelogram w is graphed on a coordinate plane and is dilated by …
C. Parallelogram Z is smaller than parallelogram W because scale factors between 0 and 1 create smaller shapes since the distances between the vertices in the image figure are dec…
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given: abcd is a parallelogram. prove: \\(\\overline{ab} \\cong \\overl…
To prove \(AB \cong CD\) and \(BC \cong DA\) in parallelogram \(ABCD\): 1. Draw diagonal \(AC\) (unique line postulate). 2. \(AB \parallel CD\) and \(AD \parallel BC\) (def. of pa…
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4. which of the following is not a criterion for triangle similarity? a…
c. SSA ### Question 5
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if line segment uv is dilated by a scale factor greater than 1, which c…
D. \( U'V' \) with length 24 mm
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name date period retrieval give the name of a geometric figure that fit…
Pentagon ### Question 2
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given: abcd is a parallelogram. prove: \\(\\overline{ab} \\cong \\overl…
The next statement is \(AC \cong AC\) (with reason "reflexive property")
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12. if line y bisects \\(\\overline{ac}\\), \\(ab = 4 - 5x\\), and \\(b…
\( 38 \)
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4 practice 4 (from unit 1, lesson 4) a, b, and c are the centers of the…
B. CD
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given: abcd is a parallelogram. prove: \\(\\overline{ab} \\cong \\overl…
By proving \(\triangle ABC \cong \triangle CDA\) (ASA) using parallelogram properties and alternate interior angles, we conclude \(AB \cong CD\) and \(BC \cong DA\).
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the pythagorean theorem states that in a right triangle, the square of …
hypotenuse ### Second Question:
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is rectangle efgh the result of a dilation of rectangle abcd with a cen…
A. Yes, because corresponding sides are parallel and have lengths in the ratio \(\frac{4}{3}\).
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triangle rst was dilated by a scale factor of (\frac{1}{2}). the image,…
16 units (corresponding to the option "16 units")
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11. if s is the midpoint of \\(\\overline{rt}\\), \\(rs = 5x + 17\\), a…
\( 97 \)
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is triangle abc a dilation of triangle abc? explain. yes, it is an enla…
No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.
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two triangles are considered ____ if their corresponding angles are equ…
similar ### 2. Second Question
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two similar triangles have perimeters of 24 cm and 36 cm respectively. …
d. 12 cm ### Second Question:
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2. what is x? diagram: point c, two lines from c with right angles at b…
3
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given: abcd is a parallelogram. prove: \\(\\overline{ab} \\cong \\overl…
To prove \( \overline{AB} \cong \overline{CD} \) and \( \overline{BC} \cong \overline{DA} \) in parallelogram \(ABCD\): 1. **Draw \( \overline{AC} \)** (unique line postulate, as …
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the length of a buildings shadow is 20 meters at the same time that a 2…
b. 10 meters ### Second Question (Similar Triangles)
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given: abcd is a parallelogram. prove: \\(\\overline{ab} \\cong \\overl…
draw \( \overline{AC} \)
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1 multiple choice 1 point which sequence of transformations takes trian…
To solve this, we analyze the transformation from triangle A to B: ### Step 1: Identify Rotation Triangle A and B appear to be mirror - reversed, suggesting a **rotation** (e.g., …
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figure q was the result of a sequence of transformations on figure p, b…
The sequence of transformations from figure P to figure Q is a reflection over the x - axis followed by a horizontal translation of 7 units to the right (or other valid sequences …
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given: abcd is a parallelogram. prove: \\(\\overline{ab} \\cong \\overl…
To prove \( \overline{AB} \cong \overline{CD} \) and \( \overline{BC} \cong \overline{DA} \) in parallelogram \(ABCD\): - By **definition of a parallelogram**, opposite sides are …
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antithesis: type of parallelism in which strongly contrasting ideas are…
a. We shall not always expect to find them supporting our view. But we shall always hope to find them strongly supporting their own freedom.
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3 multiple choice 1 point a sequence of transformations was applied to …
D. It must be an equilateral triangle with the same side lengths as the original triangle. (Assuming the last option is D; if the options were labeled A - D in order, the correct …
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the figure below is dilated by a factor of \\(\\frac{1}{4}\\) centered …
To plot the dilated figure, plot the points \( Q'(-\frac{3}{4},2) \), \( P'(1,1) \), \( O'(2,-2) \), and \( N'(-\frac{3}{4},-2) \) and connect them. (Note: Since this is a plottin…
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line segment ef with midpoint m (marked by a dot). the segment from e t…
\( x = 5 \)
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practice question 1.6.2 two distinct lines, l and m, are each perpendic…
B. Lines \( l \) and \( n \) are perpendicular. C. Lines \( m \) and \( n \) are perpendicular. D. Lines \( l \) and \( m \) are parallel.
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3/9 13)33 (with circles around the 3s in 13 and 33) 1,9 a:1.2 b:2:3 c:1…
C:1.3
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the criterion that proves right triangles are congruent by their hypote…
Hypotenuse - Leg (HL) ### Second Question:
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vocabulary - angle - angle of rotation - circle - concentric circles bo…
Rhombus ### 2. For "A quadrilateral with four congruent angles"
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review the thirteenth and fourteenth paragraphs. 13 then the second han…
D. She has traveled into the past.
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9x+36, 4x+31, j, m, k (line segment with points j, m, k and expressions…
\( x = -1 \)
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in similar triangles, the corresponding side lengths are ______. triang…
proportional (or in proportion) ### 2. Triangles are ______ when their corresponding sides and angles are equal.
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youtube: do you know all 9 elements of hip hop? by venus - style perfor…
c. DJing, MCing, Breaking, Graffiti Art ### Question 2
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algebra & geometry review 1. subtract. ((7d^2 + 8d - 7) - (d^2 + 4d + 4…
$6d^2 + 4d - 11$ ### Problem 2:
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a) ??? b) $102.40 (circled) c) $116.00 d) $219.00 114.60 x 7 ------ 15 …
$\frac{13}{11}$ (or $1\frac{2}{11}$)
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2x + 35, 5x - 22, line segment with points a, m, b (a---|----m----|----…
\( x = 19 \)
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the point ( q ) lies on the segment ( overline{pr} ). find the coordina…
\((-2,1)\)
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takeaways the essential elements of each definition are as follows: • t…
To determine the essential elements of each transformation (Translation, Rotation, Reflection), we analyze their geometric definitions: ### Translation: A translation is a rigid t…
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4 multiple choice 1 point the table represents the location of qrst bef…
B. \(T'(4, - 8)\) (assuming the option with \(T'(4,-8)\) is the correct one, as per the analysis. If the options are labeled, for example, if the option with \(T'(4,-8)\) is optio…
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the point b lies on the segment \\(\\overline{ac}\\). find the coordina…
\((-11, -17)\)
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retrieval give the name of a geometric figure that fits the following c…
Square (also, a square is a special case of rhombus, rectangle, and parallelogram; another possible answer could be rectangle but rectangle doesn't have four congruent sides unles…
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9) 6x - 11 10x - 51 p m q
\( x = 10 \) (or length \( 49 \) if finding segment length)
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6. for each scenario, circle one of the three choices below: a. the sum…
Rational
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the point k lies on the segment \\(\\overline{jl}\\). find the coordina…
\((18, 8)\)
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name: nayeliz dejesus date: 9/10 bell: unit 2: logic & proof homework 7…
### Problem 1: Using Segment Addition Postulate The diagram has points \( P, Q, R, S, T \) in order. The segment addition postulate states that if three points are collinear, the …
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is the midpoint. 8) 2x+20 4x l m n
\( x = 10 \)
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the point b lies on the segment (overline{ac}). find the coordinates of…
\((-11,-17)\)
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5 multiple answer 1 point choose all the pairs of vertical angles in th…
B. angle 1 and angle 3, D. angle 4 and angle 2
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abcd is a square. find ∠x. a b x 37° c e d ∠x = ___°. enter the answer
\(53\)
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in the diagram, dg = 12, gf = 4, eh = 9, and hf = 3. to prove that △dfe…
\(\angle DFE\) is congruent to \(\angle GFH\) (the third option)
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solve for the value of x 7) 6x+4 8x-2 x m y
\( x = 3 \)
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choose the best answer. if necessary, use the paper you were given. que…
2.00
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name date find the slope between each pair of points. then, using the p…
(Slope): \(\frac{4}{3}\) #### Distance Calculation (Using Pythagorean Theorem)
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identify the segment bisector of (overline{xy}). diagram: x---m---y (xm…
s: - The segment bisector of \(\overline{XY}\) is \(\boldsymbol{\overrightarrow{MN}}\). - The length of \(\overline{XY}\) is \(\boldsymbol{32}\).
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identify the segment bisector of (overline{jk}). diagram: j---m---k, jm…
B. \( M \) ### Part 2: Find the length of \(\overline{JM}\)
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5. here are two copies of the same figure. show two different ways for …
The area of the shaded region is \( 42 \) (two ways to calculate: 1. \( 10\times3+(3 + 2)\times2+2\times1 = 42 \); 2. \( (5 + 3)\times(3 + 2)+2\times1=42 \))
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identify the segment bisector of (overline{rs}). diagram shows points (…
# Explanation: ## Step1: Recall segment bisector definition A segment bisector is a line, ray, or segment that divides another segment into two equal parts (bisects it), intersect…
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1 enslaved people to the americas 2 sugar, tobacco, and cotton to europ…
A. The map shows a common and simplistic presentation of how sugar - related trade worked.
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question. what is $\frac{13}{18}pi$ in degrees? $\bigcirc$ $130^circ$ $…
$130^\circ$ (corresponding to the option "130°")
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rotate 90° clockwise around the origin. reflect across the x-axis. grap…
To solve the problem of transforming the quadrilateral (let's assume the coordinates of the vertices first, since they are not labeled with coordinates, we can estimate them from …
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determine a series of transformations that would map figure a onto figu…
A possible series: Rotation (90° counterclockwise) followed by a Translation (left 7 units, for example). So in the dropdowns: first "Rotation (90° counterclockwise)" followed by …
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problems 2–3: anna wants to create another equivalent equation to ( 9x …
Yes ### Problem 3
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use the area model to multiply 4(10m - 15). first, find the partial pro…
\(40m - 60\)
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title: do you know all 9 elements of hip hop? by ... 1. the 4 elements …
c. DJing, MCing, Breaking, Graffiti Art ### Question 2
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identify the segment bisector of (overline{rs}). diagram: r---m---s, wi…
B. \( M \) ### Part 2: Find the length of \(\overline{RS}\)
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10. circle o with a radius of 9 is drawn below. the measure of central …
\( 54\pi \) (Option 4)
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review the twenty-ninth and thirtieth paragraphs. 28 soon the gondola w…
D. She suspects that Grandpa has faked his illness.
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3. use copies of the rectangle to show how a rectangle could: a. tile t…
s (Visual Explanations as Described): #### Part (a) Draw multiple copies of the given rectangle, placing them adjacent to each other (horizontally and vertically) such that their …
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use the area model to multiply 2(7f + 10 + 12g). first, find the partia…
\( 14f + 24g + 20 \)
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question in the figure above, which of the lettered points could be a p…
B
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jack draws a square with side length 15 centimeters and paul draws a sq…
Paul drew the larger square because his square has a side length of 16 centimeters, which is greater than 15 centimeters.
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understanding eight read each statement and determine if it is right or…
s for each statement: 1. Wrong 2. Wrong 3. Wrong 4. Correct 5. Correct 6. Wrong
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define and give an example of: repeating decimal: a decimal with one or…
- **Definition**: The square of a number \( n \) is the product of \( n \) multiplied by itself (\( n\times n \) or \( n^{2} \)). In geometry, it also refers to the area of a squa…
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add or subtract a positive integer on a number line a number line can b…
$1500 ### Problem 2:
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the ______ is used to represent the independent variable on a graph. ○ …
A. x - axis
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what is the value of x? 12 units 15 units 20 units 24 units
20 units
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rectangle abcd was dilated to create rectangle abcd using point r as th…
5 units
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read the passage from sugar changed the world. one of these early hindu…
"sugar cane was now an ingredient in ceremonies involving fire" "Perhaps that transformation itself seemed magical" "sugar cane is called ikshu, which means 'something that people…
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triangle qrs is to be dilated using the rule ( d_{p, \frac{3}{4}} ). wh…
6 units