Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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mario was given the following enlargement. figures not drawn to scale. …
15
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congruence statements complete the congruence statement for each pair o…
1. \(\triangle FDE\) 2. \(\triangle YZX\) 3. \(\triangle STR\) 4. \(\triangle GLJ\)
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sid was given the following enlargement of a rectangle. sid calculated …
Sid used the wrong dimensions to calculate the scale factor. He should have used either both widths (original width \(4\) ft and new width \(20\) ft) or both heights (if we assume…
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consider the original rectangle and its reduction. figures not drawn to…
\(\frac{1}{2}\)
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parcher a 1.)if the perimeter of the triangle below is 210 units. what …
\(w = 10\)
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5. a city planner wants to build a new library between a school, a post…
Circumcenter should be circled.
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baseball diamond a baseball diamond is a square that is 90 feet on each…
127.28 feet
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1. what happens to the pre - image coordinates when you rotate 90° cloc…
1. When you rotate \(90^{\circ}\) clockwise, the pre - image coordinates \((x,y)\) change to \((y, -x)\). 2. When you rotate \(90^{\circ}\) counter - clockwise, the pre - image co…
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w8 version (november 2025) name: 4. the point (-5,-6) lies on the termi…
a) \(-\frac{\sqrt{61}}{6}\) b) \(\frac{6}{5}\)
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non - examples: corresponding angles alternate interior angles alternat…
∠1 and ∠12: Alternate exterior angles. ∠3 and ∠6: Alternate interior angles. ∠7 and ∠13: Corresponding angles. ∠12 and ∠14: Consecutive (Same - Side) exterior angles.
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the graph shows \\( \\triangle abc \\) and \\( \\triangle a ^ { prime }…
B. translation left 1 unit and translation down 3 units
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which of the answer choices is closest to the actual distance between p…
8
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which diagram shows possible angle measures of a triangle? 115° 36° 25°…
The second diagram (with angles \(115^{\circ},32^{\circ},33^{\circ}\)) shows possible angle measures of a triangle.
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which pair of angles is supplementary? ∠rxz and ∠yxz ∠pxq and ∠rxs ∠yzx…
\(\angle RXZ\) and \(\angle YXZ\)
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which of the answer choices is closest to the actual distance between p…
\(6\) (assuming \(6\) is one of the answer choices)
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consider the two planes. in the diagram, the only figure that could be …
line \(d\)
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a 12 - ft ladder is placed 5 feet from a building. approximately how hi…
A. 11 ft
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declan draws triangle xyz. he then constructs a perpendicular bisector …
\(YZ = XZ\)
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based on the picture above, select the correct angle pair for ∠3 and ∠5…
C. Same - Side Interior Angles
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are triangles abc and dec congruent? (1 point) yes, by sss yes, by aas …
Yes, by AAS.
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what is the length of \\overline{df}? a 24 in. b 28 in. c 10 in. d 100 …
C. 10 in.
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in the diagram, ∠trv ≅ ∠vrw. what is the measure of ∠srt? m∠srt = degre…
\(60\)
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8. (02 03 lc) if ( \triangle abccong\triangle fde ), which of the follo…
\(\angle A\cong\angle F\) (the first option)
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which of the measurements form a right triangle? a 5cm, 7cm, 10cm b 17c…
C. 10cm, 24cm, 26cm
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if (\triangle fghcong\triangle ijk), which segment is congruent to (ove…
A. \(\overline{IK}\)
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ryan is building a ramp so he can easily move things in and out of an o…
17 feet
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which figure verifies the pythagorean theorem? a 12 8 10 b 5 4 6 c 15 6…
D
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what additional information would you need to prove that \\( \\triangle…
\(\overline{AC}\cong\overline{DF}\) (First option)
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look at the graphic. which equation is verified by the graphic? a ( 5^{…
C. \(5^{2}+12^{2}=13^{2}\)
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name the congruent triangles and justify the reason for congruence. (1 …
\(\triangle ABC\cong\triangle FDE\) by SAS
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question 15 (5 points) find the area of the triangle with ( a = 12.9 ),…
\(79.7\ units^{2}\) ### Question 16
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if \\( \\triangle a b c \\cong \\triangle e d f \\) where the coordinat…
\(3.2\)
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1. (02.03 mc) what coordinate for f would make triangle abc and triangl…
\((-3,3)\)
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centroid mixed practice 1. if v is the centroid of ( \triangle pqr ), (…
\(SV = 14\), \(VR = 7\), \(QV = 16\), \(QU = 24\), \(PV = 10\), \(VT = 5\)
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a right triangle has one angle that measures 40°, what is the measure o…
\(50\)
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what is true about the coordinates of a point and its image after a ref…
The \(x\)-coordinates are opposites. The \(y\)-coordinates are the same.
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2. determine the exact answer of tan 150°. include a quick sketch of th…
\(\tan150^{\circ}=-\frac{\sqrt{3}}{3}\); The values of \(\theta\) for \(\sin\theta=-\frac{1}{2}\) (\(0^{\circ}\leq\theta\leq360^{\circ}\)) are \(210^{\circ}\) and \(330^{\circ}\)
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use the unit circle to find the value of cot (-270°). cot (-270°)=1 cot…
\(\cot(-270^{\circ}) = 0\) (the third option)
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graph. x > 8 to draw a ray, plot an endpoint and select an arrow. selec…
Plot an open circle at \(x = 8\) and draw a ray extending to the right.
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complete the table to show the coordinates of figure efgh and its image…
| Figure \(EFGH\) | Figure \(E'F'G'H'\) | | ---- | ---- | | \(E(-3,4)\) | \(E'(1,4)\) | | \(F(-1,4)\) | \(F'(3,4)\) | | \(G(-2,1)\) | \(G'(2,1)\) | | \(H(-4,3)\) | \(H'(0,3)\) |
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graph. $x < 0$ to draw a ray, plot an endpoint and select an arrow. sel…
Plot an open circle at \(0\) and draw a ray to the left of \(0\) on the number - line.
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the formula for the volume of a square pyramid is v = \\frac{1}{3}s^{2}…
For Part A: A. \( h=\frac{3V}{s^{2}}\) For Part B: \( 12\mathrm{cm}\)
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question 10 (5 points) determine whether \\( \\triangle a b c \\) shoul…
Law of Sines; \(B\approx42.7^{\circ}\), \(C\approx102.3^{\circ}\), \(c\approx18.7\)
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question 8 (5 points) listen for a circle of radius 3 feet, find the ar…
$s=\frac{7}{20}\pi$ feet (the second option)
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graph the image of trapezoid ( rstu ) after a dilation with a scale fac…
The coordinates of the dilated trapezoid are \(R'(-1,-1.8)\), \(S'(-1,-1)\), \(T'(1,1)\), \(U'(1,-1.8)\). Plot these points on the coordinate - plane and connect them.
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using circle c, find the measure of each arc or angle named. next to ea…
\(m\overset{\frown}{AE} = 45^{\circ}\), arc \(AE\) \(m\overset{\frown}{ADF}=195^{\circ}\), arc \(ADF\) \(m\overset{\frown}{AD}=135^{\circ}\), arc \(AD\) \(m\angle ACD = 135^{\circ…
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two sides and an angle are given determine whether the given informatio…
A single triangle is produced, where \(B\approx28.82^{\circ}\), \(C\approx111.18^{\circ}\), and \(c\approx5.81\)
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find one positive and one negative angle coterminal with an angle of $\…
For the first question: \(\frac{21\pi}{6};\frac{-3\pi}{6}\) (third option) For the second question: \(428.7\) \(mm^{2}\) (third option)
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a greeting card uses a geometric design containing 4 congruent kites. t…
8 sq. in.
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w8 version (november 2025) name: test #4 - trigonometry part 1 section …
a) First quadrant b) \(13^{\circ}\) c) \(96^{\circ}\) d) \(663^{\circ}\) e) Fourth quadrant f) Negative g) ii) \(\cos300^{\circ}\) h) \(1\) i) \(0\)
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question 2 (5 points) listen write 62° 21 47 as a decimal to the neares…
\(62.363^{\circ}\) (the third option)
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part a which angles must have a measure of ( 25 ^ { circ } ) ? select a…
## Part A B. \(\angle ABD\), C. \(\angle BAO\) ## Part B \(\triangle ABD\): right - triangle; \(\triangle AOD\): isosceles; \(\triangle ABO\): isosceles
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find the measure of each numbered angle: 49° 71° 53°
\(\angle1 = 60^{\circ}\), \(\angle2 = 60^{\circ}\), \(\angle3 = 120^{\circ}\), \(\angle4 = 37^{\circ}\), \(\angle5 = 67^{\circ}\), \(\angle6 = 53^{\circ}\)
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part b - matching (6 questions) match the constraint to its function. 1…
# Explicación breve: 1. Concentric significa que dos círculos o arcos comparten el mismo centro. 2. Parallel significa que las líneas se mueven en la misma dirección. 3. Tangent s…
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how do the areas of the parallelograms compare? the area of parallelogr…
The area of parallelogram \(ABCD\) is equal to the area of parallelogram \(EFGH\).
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which expression can be used to find the area of triangle rst? (8·4)-\\…
\((8\cdot4)-\frac{1}{2}(10 + 12 + 16)\)
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if line segment ru is considered the base of parallelogram rstu, what i…
5.4 units
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hallar la intersección con el eje y y la intersección con el eje x de l…
(a) \(-1\) (b) \(-1\)
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what is the area of triangle lmn? 3 square units 4 square units 6 squar…
\(4\) square units. So the answer is \(4\) square units.
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hallar la intersección con el eje x y la intersección con el eje y de l…
(a) \(4\) (b) \(3\)
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what is the area of triangle abc? 2.5 square units 3 square units 3.5 s…
\(3\) square units
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hallar la intersección con el eje y y la intersección con el eje x de l…
(a) intersección con el eje \( y\): \(-1\) (b) intersección con el eje \( x\): \(1\)
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hallar la intersección con el eje x y la intersección con el eje y de l…
(a) None (b) \((0,2)\)
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determine if the triangles can be proved congruent. if possible, by sss…
1. AAS 3. HL 5. SAS
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what is the area of triangle ghj? 5 square units 6 square units 7 squar…
6 square units
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x^{2}+(y - 8)^{2}=0 give the center
\((0,8)\)
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7. a tangent constraint ensures: a. a point lies on a line b. two objec…
7. B. Two objects touch at exactly one point 8. B. Keeps features mirrored across a reference line
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what is the center and radius for a circle with the equation: (x - 4)^2…
Center: \((4,-2)\) Radius \( = 16\) units (the last option)
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find the value of n.
\(n = 45\)
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10 given: mn || po, mp || no. prove: mp ≅ on statements reasons 1. mn |…
3. \(\angle NMP=\angle OPM\); Alternate - interior angles of parallel lines \(MN\) and \(PO\) with transversal \(MP\) 4. \(\angle PMO=\angle NOM\); Alternate - interior angles of …
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part b - multiple - choice practice read each passage and circle the be…
B. The science club plans to collect data, analyze the results, and present their findings to the school board.
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ex 2. given: gh || ij, ∠igj ≅ ∠hjg prove: ig ≅ hj
\(\overline{IG}\cong\overline{HJ}\)
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13/22 what is the correct graph for the equation x² + y² = 4? the corre…
The graph should be a circle centered at the origin \((0,0)\) with radius \(2\). If among the given options (assuming the first option is a circle centered at origin with radius \…
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u is the midpoint of \\( \\overline { s t } \\). complete the proof tha…
2. Given; 3. All right angles are congruent; 4. Definition of mid - point; 5. Reflexive property of \( \cong \)
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hk bisects ∠ihj. complete the proof that (overline{jk}congoverline{ik})…
2. Given (marked in the diagram) 3. Definition of angle bisector 4. Reflexive property of congruence
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write the equation of the circle
\((x - 1)^2+(y - 5)^2=4\) (the blue - colored option)
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4. use the coordinate plane to complete parts (a) and (b). name 1. poin…
a. Point \(B(-4,-3)\) (reflection of \(A(4,-3)\) across \(y\) - axis) and point \(C(-4,3)\) (reflection of \(B(-4,-3)\) across \(x\) - axis). b. If we first reflect point \(A(4,-3…
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let \\overline{fg} be an altitude. which statement is true? angle dfg i…
\(\angle DGF\) is a right angle.
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let \\( \\overline { f g } \\) be an angle bisector. which statement is…
Angle \(DFG\) is congruent to Angle \(EFG\)
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name the longest side of \\( \\triangle abc \\). \\( \\bigcirc \\) cant…
Segment \(BC\)
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name the angle with the greatest measure in $\triangle ghi$. angle h ca…
Angle \(I\)
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1. point ( a ) is plotted at ( (8,-2) ). use the graph to answer parts …
a. \((8,2)\) b. \((-8,-2)\) c. \((-8,2)\)
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4.10 unit test: analytic geometry - part 1 due: thu nov 20, 2025 11:59p…
\((a,b)\)
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ke shawn is placing a right triangle in the coordinate plane. he knows …
\((2a,0)\)
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the coordinates of the vertices of quadrilateral abcd are a(-1, -1), b(…
The slope of \(\overline{AB}\) is \(-2\), the slope of \(\overline{BC}\) is \(\frac{1}{2}\), the slope of \(\overline{CD}\) is \(-\frac{3}{4}\), and the slope of \(\overline{AD}\)…
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in △abc, the coordinates of vertices a and b are a(-2,4) and b(-1,1). f…
For \(C(2,2)\): Right Triangle For \(C(0,4)\): Not a Right Triangle For \(C(-2,1)\): Right Triangle
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1. what is the perimeter of a rectangle with length 12 cm and width 5 c…
1. \(34\) cm 2. \(x = 7\) 3. \(44\)
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where would point a be if it were moved left 5 and down 4? a) (2,4) b) …
B. \((2,1)\)
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find the value of z.
\(z = 11.2\)
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the coordinates of the vertices of a polygon are (0,3), (2,3), (2,0), (…
17.8 units
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7 listen. circle the subject pronoun you hear. example: a. it b. i c. y…
1. I'm 2. It's 3. This is; I'm 4. She's 5. It's 6. They're; They're
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let \\( \\overline { f g } \\) be a median. which statement is true? an…
\(DG = GE\)
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find the value of z.
\(20\)
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find the value of z.
\(z=\frac{256}{27}\)
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in the first quadrant, you start at (6, 8) and move 3 units right and 2…
\((9,6)\)
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let p be the intersection of the angle bisectors of \\( \\triangle xyz …
\(32^{\circ}\)
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in the first quadrant, you start at (6, 3) and move 2 units left. what …
\((4,3)\)
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determine if \\( \\triangle r q p \\) is similar to \\( \\triangle h g …
None
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what is the surface area of the shape? 2 in 2 in 2 in in.²
20
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complete the table to show the coordinates of figure efgh and its image…
| Figure \(EFGH\) | Figure \(E'F'G'H'\) | | ---- | ---- | | \(E(-3,4)\) | \(E'(1,4)\) | | \(F(-1,4)\) | \(F'(3,4)\) | | \(G(-2,1)\) | \(G'(2,1)\) | | \(H(-4,3)\) | \(H'(0,3)\) |