Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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22. (18) in the circle with center o, if \\(\\overarc{ad}\\) has a leng…
C. 7.5 --- ### For Question 23:
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18. (lsm) find ( m overarc{dh} + m overarc{fi} ) of the circle below. (…
A. $270^\circ$ --- ### Question 19
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complete the following equations. enter an equation for line q: y = x
\(y = \frac{1}{9}x\)
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graph the image of $\\triangle jkl$ after a rotation $90^\\circ$ counte…
### First Problem (Triangle \( \triangle JKL \)): #### Step 1: Identify Coordinates of \( \triangle JKL \) From the graph: - \( J \): Let's assume grid coordinates. Looking at the…
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point m is located at $(-4, -6)$. what is located 4 units from point m?…
A. Point A
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24. select the correct proof from the options listed. given: $overline{…
A. Statements 1. $\overline{BC}$ is a diameter of circle $O$; $\overline{AB} \parallel \overline{FO}$; $\overline{DB} \parallel \overline{GO}$; $\overline{CF} \cong \overline{CG}$…
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plot two points that are 7 units from point d and also share the same x…
The two points are \((-4,8)\) and \((-4,-6)\)
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point h is located at (2, -7). select all of the following that are 7 u…
B. \((-5, -7)\), C. \(x\)-axis
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22. in the circle below with center o, find x. a 20 b. 40 c. 10 d. 30 e…
A. 20 --- ### Problem 23
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1. b. a cylindrical and its dimensions are shown in the diagram. which …
H. \( 340.4 \, \text{cm}^2 \)
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1. a can in the shape of a cylinder has a diameter of 9 centimeters and…
C. \( 466.5 \text{ cm}^2 \) ### Question 2
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which two triangles are similar? abc & def none are similar
ABC & DEF
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determine whether the triangles are similar by aa-, sss-, sas-, or not …
The triangles are similar by SSS similarity.
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consider the following sets: r = {x | x is the set of rectangles} p = {…
- \( E \) is a subset of \( I \). - \( S \) is a subset of \( T \). - \( R \subset P \)
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complete the following equations. enter an equation for line s: ( y = 0…
For the first box (slope): \( 0 \) For the second box (y - intercept): \( - 3 \) The equation of line \( c \) is \( y = 0x-3 \)
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question 8 2 pts according to birkland (2020), which of the following i…
A. It is the legislative practice of trading commitments to vote for members' preferred policies.
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if δstu ~ δplm, find the value of x. find the value of x
$x=7.5366$ or $x=\frac{309}{41}$
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surface area of cylinders determine the total surface area of each cyli…
The total surface area of the cylinder is approximately \( 577.8 \) square inches. ### Problem 3: Total Surface Area of Cylinder (15 cm diameter, 23 cm height)
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the two triangles have at least two pairs of congruent corresponding an…
2000
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complete the following equations. enter an equation for line p: y = x
\(y = x\)
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drag each tile to the correct location in the table. \\overleftrightarr…
## Adjacent: $\boldsymbol{\angle1}$ and $\boldsymbol{\angle2}$, $\boldsymbol{\angle2}$ and $\boldsymbol{\angle3}$, $\boldsymbol{\angle3}$ and $\boldsymbol{\angle4}$, $\boldsymbol{…
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name date page 1 sequences of congruence transformations translations, …
To solve problems involving sequences of congruence transformations (rotations, reflections, translations), we follow these general steps for a single problem (e.g., graphing the …
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the two triangles have at least two pairs of congruent corresponding an…
2000
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drag each tile to the correct location in the table. $overleftrightarro…
## Complementary: $\angle2$ and $\angle3$ ## Supplementary: $\angle3$ and $\angle4$, $\angle4$ and $\angle5$
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if △cdg ~ △edf, find the value of x. (the diagram shows triangle cdg an…
$x = \frac{47}{20}$ or $x=2.35$
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question 3 jannette says $\\triangle abc \\sim \\triangle def$ because …
Jannette is correct. The corresponding sides of $\triangle ABC$ and $\triangle DEF$ are in a consistent 1:2 ratio ($\frac{20}{40}=\frac{21}{42}=\frac{29}{58}=\frac{1}{2}$), and bo…
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determine which, if any, theorem can prove the triangles similar. sss~ …
SAS~
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the numbers 7, 24, 25 form a pythagorean triple. which of these sets ar…
14, 48, 50 35, 120, 125
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completes the following equations. enter an equation for line r: ( y = …
\(-5\)
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find pythagorean triples pythagorean triples are sets of three positive…
| a | b | c | Pythagorean triple? | |----|----|------------|---------------------| | 5 | 12 | 13 | Yes | | 12 | 35 | $20\sqrt{3}$| No | | 5 | 10 | $5\sqrt{5}$ | No | | 8 | 12 | 15…
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part b since ( mangle e = 90^circ ), ( \triangle def ) is a right trian…
$DE^2 + EF^2 = DF^2$
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what would the diagram look like in order for us to use the tangent rat…
The diagram must be a right triangle with: 1. The $27^\circ$ angle at Dock A, 2. The vertical side (opposite the $27^\circ$ angle) labeled $x$, 3. The horizontal side (adjacent to…
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complete the following equations. enter an equation for line s: ( y = s…
\( 0 \)
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determine whether the triangles are similar by aa-, sss-, sas-, or not …
The triangles are similar by AA (Angle-Angle) similarity criterion.
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there are two rectangles. the larger rectangle has a length of 32 cm an…
$11$ cm
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there are two rectangles. the first rectangle has a side of 22 cm and t…
$x = 5.5$ cm
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question 10 (multiple choice worth 1 points) (04.01r mc) which characte…
The option: "The lengths of \(\overline{DE}\) and \(\overline{EF}\) are congruent, and their slopes are opposite reciprocals." (Assuming this is the fourth option in the list, but…
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question 2 suppose triangles p, q, and r have sides with the given meas…
Triangle Q (with sides 9, 40, and 41) is a right triangle, as it satisfies the Pythagorean theorem: $9^2 + 40^2 = 41^2$.
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course activity: pythagorean triples since de = ab and ef = bc, de² + e…
Triangle Q is a right triangle because its side lengths satisfy the Pythagorean theorem: $9^2 + 40^2 = 81 + 1600 = 1681 = 41^2$.
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write a proof of the triangle midsegment theorem now write a proportion…
C. $\frac{GH}{DF} = \frac{EH}{EF}$
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part 6 of 10 write a proof of the triangle midsegment theorem. given: $…
$\overline{GH} \parallel \overline{DF}$ For the multiple-choice part, the correct option is: C. $\angle EGH \cong \angle EDF$
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part 5 of 10 write a proof of the triangle midsegment theorem. given: \…
C. $\angle EGH \cong \angle EDF$
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prove that $\\triangle abc$ is a right triangle. select the correct ans…
1. Pythagorean theorem; substitution property of equality; transitive property of equality; $DF = AC$; SSS triangle congruence theorem 2. triangle Q; $9^2 + 40^2 = 81 + 1600 = 168…
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prove that $\\triangle abc$ is a right triangle. select the correct ans…
1. substitution property of equality; transitive property of equality; square root property of equality; SSS triangle congruence theorem 2. triangle Q; $9^2 + 40^2 = 81 + 1600 = 1…
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solve for x: 17. (diagram of a kite with angles ((x + 6)^circ), (2x^cir…
17. $x=10$ 18. $x=35$ 19. $m\angle1=90^\circ$, $m\angle2=90^\circ$, $m\angle3=90^\circ$, $m\angle4=90^\circ$, $m\angle5=44^\circ$, $m\angle6=56^\circ$, $m\angle7=56^\circ$, $m\ang…
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write a proof of the triangle midsegment theorem. given: $overline{dg} …
A. Corresponding sides of similar triangles are proportional. C. Corresponding angles of similar triangles are congruent.
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6. the dimensions of a rectangular prism is shown in the diagram. what …
The total surface area of the prism (assuming the length is 20 inches) is 880 square inches. If the length is 20 yards, convert to inches (20×36 = 720 inches) and recalculate: \( …
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prove that △abc is a right triangle. select the correct answer from eac…
1. Pythagorean theorem; transitive property of equality; SSS congruence theorem 2. Triangle Q is a right triangle because $9^2 + 40^2 = 81 + 1600 = 1681 = 41^2$, satisfying the Py…
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part 4 of 10 write a proof of the triangle midsegment theorem. given: $…
A. Corresponding sides of similar triangles are proportional. C. Corresponding angles of similar triangles are congruent. --- ### Proof of the Triangle Midsegment Theorem (include…
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write a proof of the triangle midsegment theorem. given: \\(\\overline{…
$\frac{1}{2}$
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5. lateral area: 10 in. total surface area: 8 in. 18 yd.
Lateral Area: \( \boldsymbol{520} \) square inches (if length is 18 in) or \( \boldsymbol{13120} \) square inches (if length is 18 yd, converted to in). But due to unit inconsiste…
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22. if ∠k and ∠l are supplementary angles and m∠k = 56°, find m∠l.
\(124^\circ\)
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quadrilateral pqrs is located on the coordinate plane. the lengths and …
Rhombus
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find the equations for vertical and horizontal lines. what are the equa…
Equation for line $l$: $y=-2$ Equation for line $m$: $x=4$
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find the equation for some vertical lines. now, try this one. whats the…
$x = -8$
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21. if ∠2 and ∠3 are complementary angles and m∠2 = 24°, find m∠3.
\(66^\circ\)
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find the equation for some vertical lines. try another one. what’s the …
$x=18$
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find the equation for some vertical lines. whats the equation of this l…
$x=3$
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write a proof of the triangle midsegment theorem. given: $overline{dg} …
$\frac{1}{2}$
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find the area of the triangle below. be sure to include the correct uni…
$49.5\ \text{cm}^2$
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20. if $\\angle pqr$ and $\\angle sqt$ are vertical angles and $m\\angl…
\( 109^\circ \)
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3. lateral area: total surface area: 5. lateral area: total surface are…
s: ## Problem 3 - Lateral Area: \( \boldsymbol{1512} \) square inches - Total Surface Area: \( \boldsymbol{2152} \) square inches ## Problem 5 (assuming 18 in, 8 in, 10 in) - Late…
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find the equation for some horizontal lines. now, try this one. whats t…
$y = -10$
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find the equation for some horizontal lines. try another one. what’s th…
$y=6$
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consider the graph below. what story does it tell you? for all points o…
7
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using the following diagram, solve for x. x = \\square (simplify your a…
10.5
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to estimate the height of a tree, tia and felix walk away from the tree…
### Part b: # Explanation: ## Step1: Identify the problem type This is a right - triangle problem where we can use the geometric mean (or altitude - on - hypotenuse) theorem. The …
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find the value of x. x = \\square (simplify your answer.)
$\frac{23}{2}$
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to estimate the height of a tree, tia and felix walk away from the tree…
# Explanation: ## Step1: Recall the geometric theorem The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the …
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what is tan b? a. \\(\\frac{2}{3}\\) b. \\(\\frac{3}{2}\\) c. \\(\\frac…
B. $\frac{3}{2}$
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to estimate the height of a tree, tia and felix walk away from the tree…
2.54 meters (rounded to the nearest hundredth)
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1) a man is standing on the ground the base of a tree. the angle of is …
Approximately 49.93 feet (or 50 feet when rounded to the nearest whole number)
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Perpendicular Graph 2: Parallel Graph 3: Perpendicular Graph 4: Neither
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find the volume of the rectangular prism.
$216\ \text{m}^3$
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Parallel Graph 2: Perpendicular Graph 3: Neither Graph 4: Parallel
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try another one. line n goes through points a and b. what is the slope …
$\frac{3}{5}$
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quadrilateral n is the image of quadrilateral n under a dilation. what …
B. \( B \)
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line m goes through points a and b. what is the slope of line m? solve …
$-\frac{1}{4}$
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reflections graph the image of the figure using the transformation give…
To solve these reflection problems, we'll take problem 1 (reflection across the \( y \)-axis) as an example to show the step - by - step process. The same logic can be applied to …
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what is another way to write the slope of the line? point a : (-4, 6) p…
$-\frac{1}{3}$ (matches the option $-\frac{1}{3}$)
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5. (02.04 mc) in \\( \\triangle efg \\), is it possible for \\( \\overl…
No, because $3+6<9$, $6+9>3$, and $9+3>6$ (Note: correction to the option text logic: the actual invalid sum is $3+5=8<9$, which matches the core reasoning of this option)
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subtract in the numerator and denominator to find the slope of the line…
$\boldsymbol{\frac{-1}{3}}$
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write a rule to describe each transformation. 7) 8) 9) 10) 11) 12)
The transformation rule for problem 7 is \(\boldsymbol{(x, y) \to (x + 2, y)}\) (translation 2 units to the right). --- ### Problem 8:
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4. (02.04 mc) given δmno, find the measure of ∠mno. (2 points) options:…
28°
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which angles have an angles at a point relationship? \\(\\angle 1, \\an…
2. All of the angles!
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4. (02.04 mc) given δmno, find the measure of ∠mno. (2 points) options:…
28°
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area of triangle =?
18 cm²
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3. (02.04 mc) isosceles triangle abc contains angle bisectors, ad, and …
136°
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which angles have a vertical relationship? ∠4, ∠5 ∠2, ∠5 ∠1, ∠5 all of …
3. \(\angle 1, \angle 5\)
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2. lateral area: 15 cm total surface area: 4 cm 4 cm 4. lateral area: 2…
### Problem 2 (Rectangular Prism with dimensions 4 cm, 4 cm, 15 cm) #### Lateral Area of a Rectangular Prism The formula for the lateral area \( LA \) of a rectangular prism is \(…
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Question was provided via image upload.
$\boldsymbol{\triangle ABD \cong \triangle CBD}$
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to estimate the height of a tree, tia and felix walk away from the tree…
# Explanation: ## Step1: Identify the geometric relationship From the problem, we can model this situation using similar triangles or the geometric mean theorem (altitude-on-hypot…
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triangle abo is shown below: given: △abc prove: all three angles of △ab…
Angle Addition Postulate
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write the coordinates of the vertices after a dilation with a scale fac…
$P'(-8, -4)$ $Q'(-8, 8)$ $R'(8, 8)$ $S'(8, -4)$
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peter and vivian each wrote a proof for the statement: if ∠2 ≅ ∠3, then…
Peter used a direct proof because evidence is used to support the conclusion. Vivian used an indirect proof because the final statement is a contradiction.
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(04.02 lc) which statement explains how the lines $2x + y = 4$ and $y =…
They are perpendicular.
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write the coordinates of the vertices after a dilation with a scale fac…
$D'(5, -5)$ $E'(5, 10)$ $F'(-10, 0)$
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in the figure above, ( rt = tu ). what is the value of ( x )? a) 72 b) …
\( \boxed{64} \)
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Question was provided via image upload.
s: - For the first diagram: \(x = \boldsymbol{13}\) - For the second diagram: \(x = \boldsymbol{3}\) - For the third diagram: \(x = \boldsymbol{-4}\)
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select the correct answer from each drop-down menu. peter and vivian ea…
Peter used a direct proof because he used the given information to show that the statement is true. Vivian used an indirect proof because she assumed that the statement is false a…