Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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three students attempt to define what it means for lines ( l ) and ( m …
- Ruby's definition: Were you thinking of parallel lines? - Shriya's definition: Woohoo! Nice work! I couldn't have said it better myself! - Abhishek's definition: Your definition…
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three students attempt to define what a circle is. can you match the te…
- Ruby's definition: Are you thinking of a sphere? - Shriya's definition: This is incorrect. For example, your definition also allows for the following shape, which is just part o…
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find y. write your answer in simplest radical form. feet
\(2\)
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1. cecile packages snack mix at a health food store. she uses \\( \\fra…
A. 18 pounds
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look at this diagram: if \\( \\overleftrightarrow { m o } \\) and \\( \…
$52$
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△ear is rotated 180° about the origin. draw the image of this rotation.
Plot the points \((6,-4)\), \((2,-2)\), \((5,6)\) and connect them.
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a wooden pillar in the shape of a square prism has a base side length, …
\(176\) square inches (Option A)
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dklm and ptrs are shown, where dklm~ptrs with md = 20, dk = 6z + 6, kl …
1. \(w = 3\), \(z = 4\) 2. \(DK = 30\), \(SP = 8\), \(TR = 10\) 3. \(115\) 4. \(x = 10\), \(y = 9\) 5. \(m\angle MDK=125^{\circ}\), \(m\angle PTR = 45^{\circ}\), \(m\angle PSR=40^…
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choose one pair of alternate interior angles from the diagram below: *
$\angle5$ and $\angle4$ (or $\angle1$ and $\angle6$)
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△acf and △vxz are shown. ac = 10, cf = 12, af = 20, vx = 9, xz = 7.5, z…
6. SSS (Side - Side - Side) similarity theorem 7. \(\triangle ACF\sim\triangle VXZ\) 8. \(m\angle CAF = 22^{\circ}\), \(\frac{AC}{ZX}=\frac{4}{3}\) 9. \(m\angle CFA = 27^{\circ}\)…
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which angles are corresponding angles? ∠fec and ∠ihj ∠ihj and ∠feh ∠feh…
$\angle DEC$ and $\angle GHJ$
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which angles are supplementary angles? ∠jif and ∠hik ∠jif and ∠eaj ∠jif…
\(\angle JIF\) and \(\angle HIF\)
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which angles are corresponding angles? ∠gfi and ∠hik ∠gfi and ∠jif ∠gfi…
\(\angle GFI\) and \(\angle HIK\)
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which angles are consecutive interior angles? ∠mnk and ∠jkn ∠mnp and ∠l…
$\angle MNK$ and $\angle JKN$
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which angles are consecutive interior angles? ∠ijg and ∠fgj ∠ijl and ∠i…
$\angle IJG$ and $\angle FGJ$
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△rtp with xs is shown. given: xs ⊥ rt and rx ⊥ xt prove: △xtr ~ △sxr co…
5. \(m\angle XSR = 90^{\circ}\) and \(m\angle TXR = 90^{\circ}\) 6. \(\angle XSR\) and \(\angle TXR\) are right angles 7. \(\angle XSR\cong\angle TXR\) 8. \(\angle R\cong\angle R\…
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which angles are alternate interior angles? ∠lmp and ∠qpr ∠lmp and ∠qpm…
\(\angle LMP\) and \(\angle OPM\)
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place these prefixes correctly in the chart. then write an example of a…
| Prefix | Meaning | Example | | ---- | ---- | ---- | | mis - | badly | misunderstand | | tri - | three | triangle | | un - | not | unhappy |
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which angles are alternate exterior angles? ∠lmj and ∠lmo ∠jjh and ∠kjm…
\(\angle KJH\) and \(\angle LMO\)
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which angles are alternate interior angles? ∠cdg and ∠hgd ∠cdg and ∠fgd…
\(\angle CDG\) and \(\angle FGD\)
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which angles are vertical angles?∠vwt and ∠xwy∠vwt and ∠str∠vwt and ∠ut…
\(\angle VWT\) and \(\angle XWY\)
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choose one pair of vertical angles from the diagram below: * your answer
One pair of vertical angles is \(\angle1\) and \(\angle5\) (or any other valid pair from the mentioned ones).
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which angles are alternate interior angles? ∠hgj and ∠fgj ∠fge and ∠kjg…
\(\angle FGJ\) and \(\angle KJG\)
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which angles are adjacent angles? ∠ihf and ∠lkm ∠ihf and ∠ghk ∠ihf and …
\(\angle IHF\) and \(\angle GHF\)
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which angles are alternate exterior angles? ∠srp and ∠vuw ∠srp and ∠tur…
\(\angle SRP\) and \(\angle VUW\)
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which types of angles are congruent to each other? (choose as many as y…
vertical angles, alternate interior, alternate exterior, corresponding
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name the transversal in the diagram. * your answer
Line \( r \)
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which angles are adjacent angles?
\(\angle RSP\) and \(\angle TSP\)
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km and np are parallel lines. which angles are alternate interior angle…
\(\angle MLO\) and \(\angle NOL\)
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△now is rotated 90° about the origin. draw the image of this rotation.
Plot the points \((3,-7)\), \((-4,-4)\), \((-1,-2)\) and draw the triangle.
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name the parallel lines in the diagram below. be sure to use the correc…
\( m\parallel n \)
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bd and eg are parallel lines. which angles are vertical angles? ∠gfc an…
$\angle GFC$ and $\angle EFH$
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mo and pr are parallel lines. which angles are adjacent angles? ∠rqn an…
\(\angle RQN\) and \(\angle PQN\)
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start by finding the scale of this map. at the actual gym, one side len…
\(1\ \text{cm} = 3\ \text{feet}\)
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pr and su are parallel lines. which angles are vertical angles? ∠stq an…
$\angle STQ$ and $\angle UTV$
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gi and jl are parallel lines. which angles are supplementary angles? ∠l…
\(\angle LKH\) and \(\angle LKM\)
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two parallel lines are cut by a transversal as shown below. suppose ( m…
\(m\angle1 = 32^{\circ}\), \(m\angle3 = 148^{\circ}\)
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question find the length of the third side. if necessary, round to the …
\(8\)
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in the figure ( l parallel m ). ( angle 4 ) and ( angle 5 ) are called …
Consecutive Interior Angles
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determine a series of transformations that would map figure t onto figu…
A rotation of \(180^{\circ}\) clockwise about the origin followed by a rotation of \(90^{\circ}\) counter - clockwise about the origin.
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triangles! the sum of all the interior (inside) angles of a triangle is…
\(\angle1+\angle2+\angle3 = 180^{\circ}\); \(\angle1+\angle5=180^{\circ}\), \(\angle3+\angle4 = 180^{\circ}\); \(\angle4=\angle1+\angle2\), \(\angle5=\angle2+\angle3\)
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gh bisects cf, cf = 2y - 2, and cd = 3y - 11. find cd.
16
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given a⊥b, find m∠1 and m∠2. 12 pts x= m∠1= m∠2=
\(x = 8\) \(m\angle1=26^{\circ}\) \(m\angle2=64^{\circ}\)
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∠a and ∠b are supplementary. ( m angle a = 2 x ) and ( m angle b = x - …
\(50^{\circ}\)
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solve for x, y, and z 9 pts (4z + 6)° x° 106° 2y°
\(x = 74\), \(y = 53\), \(z = 17\)
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in △stu, \\( \\overline { s t } \\parallel \\overline { v w } \\). give…
\( VS = 8 \)
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part 5 of 5 given the figure shown to the right, write a two - column p…
Isosceles Triangle Theorem
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note: rotations are clockwise. reflections are over the x - or y - axis…
Reflection, translation
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write a proof. given: \\( \\angle a \\cong \\angle c \\) and \\( \\over…
CPCTC
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in \\( \\triangle hij, \\overline { h i } \\parallel \\overline { k l }…
\(HI = 45\)
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geometry - kim - yr - 2026 (lms) 4 - 6: mathxl for school: mixed review…
AAS (Angle - Angle - Side)
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in \\( \\triangle a b c, \\overline{a b} \\| \\overline{d e} \\). given…
\(CE = 28\)
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find the volume of an oblique cylinder with a base diameter of 17 cm an…
\( 10900\) cubic centimeters
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measure of the missing angle.
\(24^{\circ}\)
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angle relationships brain dump vocabulary vocabulary triangles the sum …
\(121\)
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which number line represents the solution set for the inequality ( 3x <…
The number line with an open circle at \(-3\) and shading to the left.
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find the measures of the missing angles: answer attempt 1 out of 2 a = …
\(a = 60^{\circ}\) \(b = 85^{\circ}\) \(c = 95^{\circ}\) \(d = 25^{\circ}\)
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based on the given diagram, complete the sentence below. answer attempt…
Point \(D\) is the ortho - center of \(\triangle ABC\) because \(\overline{AF}\), \(\overline{BG}\), and \(\overline{CE}\) are all altitudes.
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based on the given diagram, complete the sentence below. answer attempt…
centroid; medians
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given the figure shown to the right, write a two - column proof to prov…
| Statement | Reason | |--|--| | $\angle BAC\cong\angle DEC,\angle ABC\cong\angle EDC,BC\cong CD$ | Given | | $\triangle ABC\cong\triangle EDC$ | AAS | | $AC\cong EC$ | CPCTC | | …
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based on the given diagram, complete the sentence below. answer attempt…
orthocenter
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two statements were made about each situation below. using the shape to…
- **Situation 1**: Circle statement A. The correct interest amount is \(\$7852\) - **Situation 2**: The balance of Anna's account will be \(\$3250\) - **Situation 3**: The balance…
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given the figure shown to the right, write a two - column proof to prov…
| Statement | Reason | |---|---| | \(\angle ABC\cong\angle EDC\), \(\overline{BC}\cong\overline{CD}\) | Given | | \(\angle BAC\cong\angle DEC\) | AAS (assuming appropriate angle -…
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given the figure shown to the right, write a two - column proof to prov…
The reason for \(AC\cong EC\) is CPCTC.
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given the figure shown to the right, write a two - column proof to prov…
AAS
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based on the given diagram, complete the sentence below. answer attempt…
Point \(D\) is the in - center of \(\triangle ABC\) because \(\overline{AD}\), \(\overline{BD}\), and \(\overline{CD}\) are all angle bisectors.
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prove \\( \\triangle ace \\) is an isosceles triangle. statements \\( a…
SAS
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based on the given diagram, complete the sentence below. answer attempt…
Point \(D\) is the in - center of \(\triangle ABC\) because \(\overline{DE}\), \(\overline{DF}\), and \(\overline{DG}\) are all perpendicular distances from \(D\) to the sides of …
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lesson 1 | session 3 3 an artist makes a scale drawing of a parallelogr…
The area of the scale drawing is \(32.8125\) \(cm^{2}\).
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based on the given diagram, complete the sentence below. answer attempt…
Point \(D\) is the circumcenter of \(\triangle ABC\) because \(\overline{DE}\), \(\overline{DF}\), and \(\overline{DG}\) are the perpendicular bisectors of the sides of the triang…
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6 manuel has a garden that is 12 feet long and 9 fe wide. what is the p…
B. \(42\) feet
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question complete the proof that △uvw ~ △ust. answer attempt 1 out of 2…
\(\angle SUT\cong\angle VUW\) (by vertical angles theorem) so that we can use AA~ (Angle - Angle similarity) to prove \(\triangle UVW\sim\triangle UST\)
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solve for x. figures are not necessarily drawn to scale.
\(x = 14\)
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which two triangles are congruent by the aas theorem? complete the cong…
\( \triangle DEF\cong\triangle WXY \)
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write the coordinates of the vertices after a reflection over the y - a…
\(T'(6,-2)\), \(U'(1,2)\), \(V'(1,-10)\), \(S'(7,-6)\)
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solve for x. figures are not necessarily drawn to scale. answer attempt…
\(x = 4\)
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would you use sss or sas to prove the triangles congruent? if there is …
A. \(\triangle MRZ\cong\triangle XRY\), SSS
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a) write the point that is located at each ordered pair. 1) (4,1) 2) (3…
1. \(U\) 2. \(S\) 3. \(Q\) 4. \(Y\) 5. \(A\) 6. \(D\) 7. \(F\) 8. \(G\) 9. \(E\) 10. \(R\)
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write the coordinates of the vertices after a reflection over the line …
\(B'(-10,-1)\), \(C'(-1,-1)\), \(D'(-2,9)\), \(E'(-8,9)\)
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would you use sss or sas to prove the triangles congruent? if there is …
B. \(\triangle FHZ\cong\triangle QXH\), SSS
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write the coordinates of the vertices after a reflection over the line …
The coordinates of the vertices after reflection are \( W'(1,0) \), \( V'(-1,3) \), \( U'(-2,0) \), \( T'(-1,-3) \).
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write the coordinates of the vertices after a reflection over the x - a…
\(E'=(1,3)\), \(F'=(2,3)\), \(G'=(2,7)\)
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write the coordinates of the vertices after a reflection over the x - a…
\(A'(0,3)\), \(B'(0,1)\), \(C'(6,2)\)
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find the perimeter. include the unit. 16 ft 14 ft 11 ft
\(41\) ft
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find the perimeter. include the unit.
\(52\) yd
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write the coordinates of the vertices after a reflection over the x - a…
\(U'(-5,1)\), \(V'(-2,1)\), \(W'(-2,4)\), \(T'(-5,4)\)
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find the perimeter. include the unit. 13 yd 13 yd 8 yd 10 yd
\(44\) yd
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a satellite launch rocket has a cylindrical fuel tank. the fuel tank ca…
D. \(\frac{4V}{\pi d^{2}}\)
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i-ready classify quadrilaterals - instruction - level d which of these …
The orange shape.
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practice using scale to find areas study the example showing how to fin…
The area of the logo on the shirts is \(72\) \(in^{2}\).
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all the edges of the object in the diagram are equal in length. the obj…
C. a square
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which rectangles are similar? a. abcd and pqrs b. pqrs and defg c. defg…
C. DEFG and VWXY
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what is (overline{jl})?
chord
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what is \\( \\overline{km} \\)?
diameter
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what is \\( \\overline{bd} \\)?
radius
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what is k? chord diameter center submit
center
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what is \\overline{po}?
diameter
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b) write the ordered pair for each point. 11) q( —, —) 12) s( —, —) 13)…
11) \(Q(-2,-3)\) 12) \(S(1,2)\) 13) \(D(2,5)\) 14) \(L(4,0)\) 15) \(G(3,-2)\) 16) \(Z(-5,-1)\) 17) \(X(-5,-5)\) 18) \(A(4,0)\)
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what is overline{su}?
chord
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what is y? submit diameter center chord
diameter