Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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find the length of side x in simplest radical form with a rational deno…
\(\frac{\sqrt{2}}{2}\)
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the movement of the progress bar may be uneven because questions can be…
22 feet
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use the image to answer the question point a is the original point befo…
G (or the point with coordinates (-1, 4))
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transformations and congruence vertical & horizontal translations if sq…
\( (-2, 8) \) (corresponding to the option: \(\boldsymbol{(-2, 8)}\))
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name: date: stale character analysis organizer - good country people ch…
### Speech | Text Evidence | What it Reveals | |---------------|-----------------| | Hulga says, "I'm as atheist as you can get" and calls her mother's beliefs "simple-minded." | …
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in $\\triangle opq$, the measure of $\\angle q = 90^\\circ$, $qp = 11$,…
$\frac{11}{60}$
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which set of angles are complementary in this diagram? options: ∠ecf an…
$\boldsymbol{\angle ECF \text{ and } \angle BCF}$
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the movement of the progress bar may be uneven because questions can be…
60
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identify a set of parallel and a set of perpendicular lines in this ima…
$\boldsymbol{\overleftrightarrow{BF} \parallel \overleftrightarrow{CG}, \overleftrightarrow{AD} \perp \overleftrightarrow{BF}}$
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31. how many degrees are there in four revolutions?\\bigcirc 1,800°\\bi…
1,440°
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the movement of the progress bar may be uneven because questions can be…
$\boldsymbol{\angle DOC}$
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which angle is an acute angle? ∠aoc ∠eoc ∠doc ∠bod
$\boldsymbol{\angle BOC}$
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the movement of the progress bar may be uneven because questions can be…
complementary
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solve for ( x ). round to the nearest tenth, if necessary.
$4.2$
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6. the polygons to the right are similar. find the value of each variab…
6. $x=7.2$, $y=15$ 7. The length of side x is 14.4; The length of side y is 12; The length of side z is 13.6 8. $\frac{TZ}{FV} = \frac{RY}{VX}$ 9. The cell phone tower's height is…
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identify all rays and lines in the picture below. rays: $overrightarrow…
Rays: $\overrightarrow{BD}$, $\overrightarrow{CA}$, $\overrightarrow{AC}$, $\overrightarrow{AB}$ Lines: $\overrightarrow{AC}$ (matches the last option provided)
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which segment is opposite to $\\angle s$? answer $\\overline{wy}$ $\\ov…
A. \(\overline{WY}\)
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look at the diagram and evaluate. which of the statements below is fals…
\( \boldsymbol{WX = XY} \) (the false statement)
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identify all sets of parallel and perpendicular lines in this image. op…
$\overleftrightarrow{CD} \parallel \overleftrightarrow{EF}$, $\overleftrightarrow{AB} \perp \overleftrightarrow{CD}$, $\overleftrightarrow{AB} \perp \overleftrightarrow{EF}$
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look at the diagram and evaluate. which of the statements below is fals…
\( \boldsymbol{WX = XY} \) (the statement "WX = XY" is false)
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8 which is the best description of the author’s organizational structur…
8. D. She skips around in time to explain key events and provide historical background. 9. Male mathematicians at Langley Laboratory: ✅ Few granted title of "mathematician", ✅ Mos…
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look at the diagram and evaluate. which of the statements below is fals…
OQ < OP
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match the geometric term on the left to its definition on the right. po…
- Point: A zero-dimensional object that defines a specific location on a plane - Plane: A two-dimensional surface that continues infinitely - Ray: A half-line that begins at one p…
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question 2 rays: $overrightarrow{bd}$, $overrightarrow{ac}$, $overright…
Rays: $\overrightarrow{BD}, \overrightarrow{AB}$ Lines: $\overleftrightarrow{AC}$
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the figure below is a square. find the length of side ( x ) in simplest…
\(11\sqrt{2}\)
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26. how long is the arc for an angle of 135° in a circle with a radius …
11.78 ft
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find the length of side ( x ) in simplest radical form with a rational …
\(\sqrt{2}\)
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what is the measurement of the angle shown below? 120° 180° 30° 60°
120°
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which angle is an acute angle?\ $\\angle cod$\ $\\angle doe$\ $\\angle …
∠COD
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find the length of side ( x ) in simplest radical form with a rational …
\(\frac{\sqrt{2}}{2}\)
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question 2 identify all rays and lines in the picture below. rays: $ove…
Rays: $\overrightarrow{BD}, \overrightarrow{AB}$ Lines: $\overleftrightarrow{AC}$
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17) in the figure below, ( h parallel o ). find the values of ( x ) and…
\( x = 35 \) \( y = 103 \)
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simplify the expression using the properties of exponents.\\(\frac{(2^3…
$2^2 \cdot 3^2$ or $6^2$ (or $36$ if evaluated, but per exponent property focus, $2^2 \cdot 3^2$ is the simplified exponential form)
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16) consider the line $y = \\frac{4}{3}x - 5$ what is the slope of a li…
Slope of parallel line: \( \frac{4}{3} \) Slope of perpendicular line: \( -\frac{3}{4} \) ### Question 17
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question 1 points: a, b, c, d line segments: $overline{ac}$, $overline{…
Points: A, B, C, D Line segments: $\overline{AC},\overline{AB},\overline{CD}$
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15. in $\\triangle abc$, $\\overline{ab} \\cong \\overline{bc}$ and $m\…
C. \( 58^\circ \)
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10) in the figure, \\(\\overrightarrow{ed}\\) and \\(\\overrightarrow{e…
\(x = 9\)
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8) when e is the midpoint of \\(\\overline{ag}\\), find ae. a ----e ---…
\( x = 7 \), \( AE = 24 \) (and the option is B. 24)
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a right rectangular prism has a base area of $2\\frac{1}{2}$ square inc…
B. $28\frac{3}{4}$ in³
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which of the following coordinate notations describes the translation f…
\((x,y)\to(x - 8,y)\) (the option with this rule)
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question 1 points: a, b, c, d line segments: \\(\\overline{ab}, \\overl…
# Brief Explanations: First, identify all distinct points shown: A, B, C, D. Then, identify line segments (finite straight lines connecting two points): $\overline{AC}$ connects A…
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9) at what coordinate would you place point b so that it is \\(\\frac{1…
\(-3\)
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which of the following coordinate notations describes the translation f…
\((x,y)\to(x + 3,y)\) (the first option among the given choices with this notation)
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what is the measurement of the angle shown below? 180° 60° 120° 30°
C. $120^\circ$
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which of the following coordinate notations describes the translation f…
A. \((x, y) \to (x + 3, y - 7)\)
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which angle is an acute angle? ∠doe ∠coe ∠cod ∠aod
$\angle COE$
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identify all points and line segments in the picture below. points: a, …
A. Points: A, B, C, D Line segments: $\overline{AC}$
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match each angle on the left with a correct description on the right. s…
1. First angle → obtuse angle 2. Second angle → acute angle 3. Third angle → acute angle 4. Fourth angle → right angle 5. Fifth angle → straight angle
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question 4a identify all obtuse angles in the drawing below. options: ∠…
$\angle MOQ, \angle QON$
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5) during the archaeological dig of a shipwreck near st. augustine, a b…
C) 14.9 feet
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question 3b match each angle on the left with a correct description on …
1. First angle → acute angle 2. Second angle → right angle 3. Third angle → straight angle 4. Fourth angle → obtuse angle 5. Fifth angle → acute angle
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identify all obtuse angles in the drawing below. options: ∠bmc, ∠cme ∠b…
$\angle BMD, \angle AMC, \angle AME$
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which geometric term best describes an arrow? ○ ray ○ plane ○ line ○ po…
ray
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find p. write your answer in simplest radical form. millimeters
\(8\sqrt{3}\)
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question 1b which geometric term best describes a piece of paper? ○ poi…
plane
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3) classify each figure as line, ray, or line segment. then, show how t…
Type: line Proper Notation: \( \overleftrightarrow{UT} \) (or \( \overleftrightarrow{TU} \)) ### Part (b)
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match each drawing on the left with its correct geometric notation on t…
1. First drawing (segment AB) ↔ $AB$ 2. Second drawing (ray from A through B) ↔ $\overrightarrow{AB}$ 3. Third drawing (line AB) ↔ $\overleftrightarrow{AB}$ 4. Fourth drawing (ray…
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line t is tangent to the circle. find m∠1 m∠1 = □°.
$50$
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6. paul claims \all right triangles are similar.\ which statement best …
D. It is false because two right triangles could have sets of acute angles that are not equal.
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line t is tangent to the circle. find the measure of arc def. the measu…
$126$
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line t is tangent to the circle. find ( moverset{\frown}{ab} )
$130^\circ$
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solve for x. e 15x + 11 88° d c
$x = 11$
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what is the volume of a rectangular prism with a height of 1.5 feet and…
D. $6.75$ ft³
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11. in parallelogram (abcd), diagonals (overline{ac}) and (overline{bd}…
\( 96 \)
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part ii: quadratic relations part a: multiple choice: circle the correc…
c) \(-12\) ### Question 2
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6. which of the following is not a right triangle? a. a triangle with a…
a. A triangle with angles 60°, 60°, and 60°
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there is a geometric figure composed of two right triangles. the left r…
$\sqrt{42}$
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5. the space diagonal of a cube is measured as $20\\sqrt{3}$ cm. what i…
d. 20 cm
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solve for x to the nearest tenth.
4.5
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2. what is ( mangle c )? enter your answer in the box ( mangle c = )
\(60^\circ\)
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find ( mangle n ). ( mangle n = square^circ )
# Explanation: ## Step1: Identify arc measure The given arc opposite $\angle N$ is $160^\circ$. The remaining arc (arc $LMN$? No, correct remaining arc: total circle is $360^\circ…
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find ( mangle g ). ( mangle g = square^circ )
$85^\circ$
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1. for what value of x is line m parallel to line n? enter your answer …
\( x = 9 \)
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which translation maps the graph of the function $f(x)=x^2$ onto the fu…
right 3 units, down 3 units
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find the measure of the inscribed angle
$83^\circ$
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1. calculate ( ap ) if the perimeter of ( \triangle avp ) is 43 cm. 3. …
s: 1. \( AP = \boldsymbol{15} \) cm 3. \( m\angle T = \boldsymbol{58.5^\circ} \) (or \( 58^\circ 30' \)) 4. Width of the river: \( \boldsymbol{65} \) ft (assuming similar triangle…
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4. what is the measure of $\\angle 4$ if $\\angle 4 = 3a + 40$ and $a =…
d. 104 degrees
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14. (image of triangles)\\(\\text{(a)} \\) triangles \\(abc\\) and \\(d…
A. \((5, 7)\) (Note: For the triangle congruence question, the text is a bit unclear due to possible OCR errors. If you can provide a clearer version of the triangle - related que…
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2. in a right triangle with a hypotenuse of 13 units and one leg of 12 …
c. 5 units
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1. if one leg of a right triangle is 5 units and the hypotenuse is 13 u…
a. 12 units
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15. what is the distance between the points (0, 0) and (3, 4)? a. 7 b. …
c. 5
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given ac = ab + bc segment addition assumption bd = bc + cd segment add…
1. Given (first dashed box): $\boldsymbol{AC=BD}$ 2. Assumption (second dashed box): $\boldsymbol{AB eq CD}$ 3. Subtraction property step (third dashed box): $\boldsymbol{AB e…
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14. which real - world scenario can use the distance formula? a. planni…
a. Planning a road trip
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solve for the variable 6. triangle with segments labeled 12, 8, and x, …
\( x = 18 \)
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13. what are the four sections of a coordinate plane called? a. regions…
c. Quadrants
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prove: ( x = 4 ) convert the flow chart proof into a paragraph proof. i…
It is given that $\angle ABE$ and $\angle DBC$ are vertical angles. By the **vertical angles theorem**, $\angle ABE$ is congruent to $\angle DBC$. By the definition of congruence,…
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11. a hiker starts at (2, 3) and ends at (6, 7). using the distance for…
a. $\sqrt{32}$ units
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type the correct answer in the box. use numbers instead of words. model…
2
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10. which axis is the vertical axis on a coordinate plane? a. x - axis …
b. y-axis
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8. in a triangular park, two sides measure 9 meters and 12 meters. if t…
d. 15 meters
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7. if points are plotted at (1, 2), (5, 2), and (3, 4), which tool in g…
a. Polygon tool
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in the figure, there are line segments and triangles. the length of my …
\( \boldsymbol{6} \)
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13. use the induction proof to reverse the problem below. prove: ab ≅ d…
A. Angle Bisector Definition ### Question 14 (Proving \( \triangle EBA \cong \triangle EDC \) by AAS):
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comparing the difference consider the number line with the plotted squa…
$\boldsymbol{\sqrt{11}}$ and $\boldsymbol{\sqrt{14}}$ (the first option)
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11. (image of a geometric figure with parallel lines, transversals, seg…
\( x = \frac{54}{7}\) (or approximately \( 7.71 \))
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solve for the variable. 10.
\(x = \frac{27}{4}\) (or \(x = 6.75\))
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figure abcd is a quadrilateral, where $\\triangle abd \\cong \\triangle…
$\overline{BC} = 8$ cm, $\overline{CD} = 5$ cm (Place 8 cm on the $\overline{BC}$ dashed box, 5 cm on the $\overline{CD}$ dashed box)
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figure (abcd) is a quadrilateral, where (\triangle abd cong \triangle c…
$\overline{BC} = 8$ cm, $\overline{CD} = 5$ cm
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△jkl and △mno are shown below. which statement is true? △jkl is similar…
There is not enough information to determine whether the triangles are similar.
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△def and △jkl are shown below. which statement is true? △def is similar…
\(\triangle DEF\) is similar to \(\triangle JKL\).