Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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relating geometric definitions explain how rays ab and ac form both a l…
- Angles are rays with a shared endpoint. - Lines extend forever in either direction. - Rays AB and AC extend forever in either direction.
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18 drag each length to the correct location on the triangle. each lengt…
- Side BC: $5\sqrt{2}$ - Side AC: 10
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write the coordinates of the vertices after a dilation with a scale fac…
$M'(-4, 0)$, $N'(-8, -4)$, $K'(-4, -8)$, $L'(8, -4)$
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5. name the type of angles given for each of the following. 1) ∠p and ∠…
1) $\angle P$ and $\angle R$ are linear pair (or adjacent angles forming a linear pair) 2) $\angle 3$ and $\angle P$ are corresponding angles (Note: Depending on the diagram's exa…
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find the slope of the line passing through the points (-5, -2) and (3, …
\(-\frac{7}{8}\)
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write the coordinates of the vertices after a dilation with a scale fac…
$S'(-10, -5)$ $T'(5, -5)$ $U'(5, 5)$ $V'(-10, 5)$
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select the correct answer. what is the value of x? (there is a right tr…
A. 10.6
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d(\\square, \\space ) e(\\space, \\space ) f(\\space, \\space )
If we assume translation 12 units right, \( D'(4,2) \) (but more context is needed for \( E' \) and \( F' \))
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drag the tiles to the boxes to form correct pairs. not all tiles will b…
$BC \longrightarrow 7\sqrt{2}$ $BD \longrightarrow 7$
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select the correct answer. nancy is planting cucumbers in a small garde…
C. 49
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relating geometric definitions explain how rays ab and ac form both a l…
Rays \( AB \) and \( AC \) form a line because they are collinear (lie on a straight path) and extend infinitely in opposite directions (through \( B \) and \( C \) from \( A \)).…
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select the correct answer. what is the value of x in the triangle? tria…
D. $5\sqrt{3}$
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select the correct answer. rounded to the nearest tenth, what is the ar…
C. 35.1 square feet
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find the following measurements. base = \\square units height =? units
base = 10 units, height = 15 units
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8) the figure shows a pair of parallel lines cut by a transversal. 9) w…
1. The three congruent angles to ∠2 are: ∠4, ∠6, ∠8 2. When a transversal cuts parallel lines, the **alternate exterior** angles are congruent.
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select the correct answer. tobias wants to add a wooden trim to a trian…
A. 14.2 ft
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4) the figure shows a pair of parallel lines cut by a transversal. whic…
$\angle 4$, $\angle 6$, $\angle 8$
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reasoning about definitions and properties of geometric figures determi…
### Problem 2: # Explanation: ## Step1: Recall the definition of perpendicular lines Perpendicular lines are lines that intersect at a right angle ($90^\circ$). By the definition …
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type the correct answer in each box. use numerals instead of words. ava…
The distance from Maria to Ava is 15.7 feet. The distance from Lucas to Maria is 10.1 feet. The angle formed at Maria's position measures 50 degrees.
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type the correct answer in the box. what trigonometric expression can b…
$\frac{12}{\tan(25^\circ)}$
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select the correct answer. the shortest side of a right triangle measur…
C. $6\sqrt{3}$
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• parallelogram: base = 10 units, height = 4 units • rectangle: length …
The area of the parallelogram is 40 square units. The base and height of the parallelogram are the same as the length and width of the rectangle.
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find the following measurements. parallelogram: base = 10 units height …
40
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drag each length to the correct location on the triangle. each length c…
The missing side lengths are 4 (opposite the 30° angle) and 8 (the hypotenuse).
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reasoning about definitions and properties of geometric figures determi…
s: 1. always 2. always 3. always
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select the correct answer. an observatory is 150 feet high. when a pers…
C. 322 feet
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i am a solution. if you take my x - coordinate and cube it, you will fi…
My graph is **F** My equations are $\boldsymbol{y = x^3}$ and $\boldsymbol{y = -x + 2}$
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identifying geometric figures which geometric figures are drawn on the …
\(\overline{CA}\), \(\overrightarrow{CA}\), \(\odot C\), \(\angle BCE\) (the checkboxes for these options should be selected)
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type the correct answer in the box. use numerals instead of words. a ri…
10.9
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select the correct answer. what is the height, x, of the equilateral tr…
A. \(7\sqrt{3}\) inches
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find an equation for the line below.
The equation of the line is \(y=\frac{1}{2}x+\frac{7}{2}\) (or \(y = 0.5x+3.5\))
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contrasting parallel and perpendicular lines the definition of parallel…
- Parallel lines: Require a plane because parallel lines must be coplanar (in the same plane) to never intersect (skew lines in 3D aren’t parallel). The plane defines the “flat” s…
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ade the area or areas of the venn diagram that represent ( a cap b ).
Shade the region of circle $A$ containing the numbers 3, 8, and 15 (the non-overlapping section of circle $A$).
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are these triangles similar? h 33° i 100° j t 38° r 100° s yes no
no
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analyzing rays and segments which statements are true regarding the dia…
- Ray \( AD \) is the same as ray \( AC \). - \( \angle EAD \) is created from \( \overrightarrow{AE} \) and \( \overrightarrow{DA} \). - \( \angle ECB \) is created from \( \over…
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select the correct answer. on a map where each unit represents one kilo…
B. $2\sqrt{29}$ kilometers
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19. find the perimeter and area of this parallelogram. dimensions are i…
- Perimeter: \( 60 \) millimeters - Area: \( 210 \) square millimeters - (Bonus) Name: Rhombus ### Problem 20 (Triangle)
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the undefined terms line and plane are needed to precisely define which…
C. parallel lines
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are these scalene triangles similar? u 35 s 45 t j 72 i 56 h yes no
yes
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select the correct answer. the slope of \\overleftrightarrow{fg} is 4. …
B. (3,7)
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type the correct answer in the box. use numerals instead of words. if n…
5
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planes x and y intersect at a right angle. \\(overleftrightarrow{ab}\\)…
- \( \boldsymbol{\overleftrightarrow{AB}} \) and \( \boldsymbol{\overleftrightarrow{CG}} \) are parallel. - \( \boldsymbol{\overleftrightarrow{CG}} \) and \( \boldsymbol{\overleft…
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identifying and naming geometric figures analyze the diagram to answer …
T ### Second Sub - Question: \( \overrightarrow{AR} \) and \( \overrightarrow{AB} \) create \( \angle\)
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which rule explains why these triangles are similar? sss sas aa none of…
AA
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which rule explains why these triangles are similar? sss sas aa none of…
AA
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5. name the type of angles given for each of the following. 1) $\\angle…
Vertical angles ### 2)
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drag each expression to the correct location on the graph and equation.…
1. Horizontal leg of the triangle: $(x_2 - x_1)$ 2. Vertical leg of the triangle: $(y_2 - y_1)$ 3. Left blank in the equation: $(x_2 - x_1)^2$ 4. Right blank in the equation: $d^2…
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proving congruence (triangle congruence: asa, aas, and hl)\ homework\ \…
60. $\boldsymbol{\angle P \cong \angle Y}$ 61. $\boldsymbol{\angle L \cong \angle U}$ 62. $\boldsymbol{UK \cong LO}$ 63. SAS; $\boldsymbol{\triangle BCE \cong \triangle DCF}$ 64. …
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identifying and naming geometric figures analyze the diagram to answer …
$\angle CAS$ ### Second Question: A point on ray $AS$
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are these scalene triangles similar? yes no
yes
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4. name the type of angles shown. write and solve an equation to find t…
\(x = 16\) ### Right Diagram:
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which rule explains why these triangles are similar? sss sas aa none of…
AA
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are these triangles similar? r i 98° h 98° t 31° 37° s j yes no
no
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which rule explains why these scalene triangles are similar? (the image…
SAS
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3. dilate the quadrilateral. give the ordered pairs of the image. a(5, …
\(A':(27, 5.4)\), \(B':(-10.8, - 16.2)\) \(C':(-10.8, - 21.6)\), \(D':(27, - 21.6)\)
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which statements are true? select all that apply. the slope of \\(\\ove…
- The slope of $\overline{AB}$ is equal to the slope of $\overline{BD}$. - The slope of $\overline{AB}$ is equal to the slope of $\overline{AC}$. - The slope of $\overline{AB}$ is…
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ixl.com/math/grade-8/checkpoint-slope-and-linear-equations which statem…
The statement "The slope of \( \overline{AB} \) is equal to the slope of \( \overline{BD} \)" is false because \( m_{AB} = \frac{3}{7} \) and \( m_{BD} = 0 \), and \( \frac{3}{7} …
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are these triangles similar? j s 50 45 70 77 k u 30 39 i t yes no
yes
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are these triangles similar? h 35° g u 35° w 58° v 58° f yes no
yes
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are these triangles similar? g 32° h 57° i t 57° 32° v u yes no
yes
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are these triangles similar? h 57° f 33° g r q 57° 37° s yes no
yes
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are these triangles similar? options: yes, no
no
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are these triangles similar? yes no
yes
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are these triangles similar? options: yes, no
yes
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are these triangles similar? (there are two triangles in the image, one…
yes
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are these triangles similar? s 47° 34° r q w 25° 47° u v yes no
no
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match each prefix, root, or suffix to its meaning. state of being - cha…
To solve this prefix, root, or suffix - meaning matching problem, we analyze each item: ### For the suffix "ment" - Suffixes like "ment" are typically used to change a word to a n…
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are these triangles similar? options: yes, no
yes
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shade the area or areas of the venn diagram that represent $(a cup b)$.
Shade the region of the universal set $U$ that is outside both circle $A$ and circle $B$ (containing the numbers 2, 1, and 17).
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are these triangles similar? (there are two triangles, one with vertice…
yes
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are these triangles similar? j i 103° q 98° 46° r 46° p k yes no
no
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are these triangles similar? write a similarity statement. △□ ~ △□
yes $\triangle TSR \sim \triangle JIH$
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fghij ~ wvutx. find hi and ij.
$HI = 1$, $IJ = 2.5$
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shade the area or areas of the venn diagram that represent $(a \\cap b)…
Shade the following regions: 1. The non-overlapping part of circle A (containing 4, 11, 15) 2. The non-overlapping part of circle B (containing 7, 5) 3. The area inside the univer…
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Question was provided via image upload.
| Statement | Reason | |-----------|--------| | $ABCD$ is a parallelogram | Given | | $\angle CBD \cong \angle ADB$ | Alternate interior angles | | $\overline{AB} \cong \overline{…
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this image has rotational symmetry. what is the smallest number of degr…
$72^\circ$
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question draw in all lines of symmetry in the shape below. if there are…
The shape has 6 lines of symmetry. Each line passes through the tip of one petal and the tip of the petal directly opposite to it. To draw them, click on two points (e.g., the tip…
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what is the relationship between $\\angle m$ and $\\angle n$? choose 1 …
B. Complementary angles
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point s lies between points r and t on \\(\\overline{rt}\\). if rt is 1…
6 centimeters
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find the distance from the point (2, 4, 3) to the origin. write your an…
\( 5.39 \)
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solve for x and graph the solution on the number line below. 6x > 60 an…
Inequality Notation: $x \> 10$ Number Line: Open circle at $10$ with an arrow pointing to the right.
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complementary and supplementary angles (visual) what is the measure of …
\( 74 \)
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if these two shapes are similar, what is the measure of the missing len…
3 yd
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it was confusing and frightening, not in a way i could untangle. i was …
He is confused, cautious, and easily upset.
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the measure of $\\angle baw$ can be calculated. $m\\angle baw = \\squar…
\(160\)
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△rst and △uvw are shown below. which statement is true? △rst is similar…
$\triangle RST$ is similar to $\triangle UVW$.
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$\\triangle bcd \\sim \\triangle gih$. find $bd$. $bd = \\square$ submit
$12.5$
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solve the right triangle. write your answers as integers or as decimals…
$JK = 7.8$ $IK = 5.3$ $m\angle J = 34^\circ$
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which represents an exterior angle of triangle egf? ○ ∠meg ○ ∠neg ○ ∠pe…
\( \angle NEG \)
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start by writing an expression that would represent the slope of line d…
Slope = $\boldsymbol{\frac{\text{change in } y\text{-values}}{\text{change in } x\text{-values}} = \frac{-5}{4}}$
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this time, the expression shows point as coordinates minus point bs coo…
First blank: $-3$; Final slope: $\frac{1}{2}$
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look at the diagram. which term describes \\(\\overline{hj}\\)? altitud…
none of these
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in the figure below, $m\\angle 1 = 5x^{\\circ}$ and $m\\angle 2 = (x - …
$m\angle 1 = 80^\circ$ $m\angle 2 = 10^\circ$
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look at the diagram. which term describes \\(\\overline{tw}\\)? median …
altitude
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which transformation will not carry the rectangle below onto itself? an…
a rotation of \(90^{\circ}\) clockwise about the origin
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find the value of x using the figure to the right. x = \\square (simpli…
\( 4 \)
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subtract in the numerator and denominator to find the slope of line p. …
$\frac{3}{4}$
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use the coordinates to write an expression you could use to find the ch…
$\frac{3 - 9}{2 - 0}$
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which diagram represents the equation $2r = 16$? solve for $r$. $r = \\…
The first diagram (the one with two purple rectangles labeled \(r\) and the total length 16) represents the equation \(2r = 16\). ### Part 2: Solving for \(r\)
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determine whether the triangles are similar by aa-, sss-, sas-, or not …
The triangles are not similar.