Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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give the location of seattle as an ordered pair $(x,y)$.
\((x,y)=(-8,10)\)
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whats the area of a sector of a circle that has a diameter of 10 in. if…
D. 25 sq in.
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what is the value of x in the diagram?
\(x = 100\)
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question 2 (5 points) listen a triangle inscribed in a semicircle can b…
A. right
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whats the area of an ellipse with the major axis 20 m and the minor axi…
D) \(157m^{2}\)
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use the triangle proportionality theorem to calculate the value of x. x…
\(19\)
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given the work below, what can you conclude about the relationship betw…
\(\overline{ST}\) is parallel to \(\overline{PR}\)
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given ( overline{gh} ) is a midsegment and ( overline{gh} ) is 7, find …
\(14\)
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which ordered pair is shown on the graph?
\((3,-1)\)
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given \\( \\overline { f g } \\) is a midsegment and \\( \\overline { d…
\( 15 \)
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point p is the incenter of \\( \\triangle abc \\). which of the followi…
\(\overline{PE}\), \(\overline{PF}\)
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choose which terms best describes point p. orthocenter incenter circumc…
orthocenter
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question 2 the _ is always equidistant from the three vertices of the t…
Circumcenter
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question 1 medians are select located inside the triangle. altitudes ar…
Medians are always located inside the triangle. Altitudes are sometimes located on the triangle. Centroids are never located outside the triangle.
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determine if \\( \\overline { s t } \\) is parallel to \\( \\overline {…
NOT Parallel
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an 80 - foot rope is attached to a boat 7 feet above the water level as…
\(72.89\)
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use the triangle proportionality theorem to solve for x. 18 x 56 21 65.…
48
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given ( overline{lm} ), ( overline{mn} ), ( overline{nl} ) are midsegme…
\(\triangle RQP\sim\triangle LNM\)
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the midsegment of △abc is lm. what is the length of al if lb is 20 inch…
10 inches
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the figures below are similar. use proportions to find the length of n.…
\(n = 18\)
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the midsegment of △abc is lm. what is the length of lm if ac is 26 inch…
13 inches
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choose the term that best describes point p. orthocenter incenter centr…
Incenter
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match the segment in the triangle to its point of intersection. median …
- Median: Centroid - Altitude: Orthocenter - Angle Bisector: Incenter - Perpendicular Bisector: Circumcenter
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if segment ab is a median, then point a is a? midpoint circumcenter cen…
midpoint
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use the drop down menu to identify the type of segment in each triangle…
1. median 2. angle bisector 3. altitude 4. perpendicular bisector
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given \\( \triangle a b c sim \triangle d e f \\), choose the proportio…
\(\frac{x}{20}=\frac{28}{25}\)
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given \\( \\triangle lmk \\sim \\triangle ghj \\) and the scale factor …
\(HJ = 36\) \(GH = 18\) \(JG = 45\)
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what is the scale factor from (\triangle uvw) to (\triangle xyz)?
\(4\)
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based on the given information, which of the following can be used to p…
SSS
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based on the given information, which of the following can be used to p…
SAS
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is \\( \\triangle ham \\sim \\triangle ste \\)? if so, identify the sim…
There is not enough information to prove these triangles are similar.
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is (\triangle bamsim\triangle del)? if so, identify the similarity post…
Similar - SAS
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is \\( \\triangle a b c \\sim \\triangle l m n \\) ? if so, name which …
Similar - AA
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determine if \\( \\triangle efg \\) is similar to \\( \\triangle rts \\…
No, the triangles are not similar.
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what is the scale factor from \\( \\triangle abc \\) to \\( \\triangle …
\(\frac{1}{4}\)
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which descriptions from the list below accurately describe the relation…
Same shape, Similar
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given: \\( \\overline { t r } \\parallel \\overline { c k } \\); u is t…
1. Given 2. \(RU = CU\) 3. Alternate Interior Angles Theorem 4. \(\angle RUT\cong\angle CUK\) 5. ASA (Angle - Side - Angle)
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in \\( \\triangle jkl, m \\angle j=(8 x-8)^{\\circ}, m \\angle k=(2 x-8…
\(x = 14\)
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based on the given information, which of the following can be used to p…
There is not enough information to prove these triangles are congruent.
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is the following statement true or false? \\( \\triangle cfe \\cong \\t…
True
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which of the following statements would we need to prove \\( \\triangle…
\(\overline{BC}\cong\overline{EF}\)
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in \\( \\triangle qrs, m\\angle q=(2x + 13)^{circ}, m\\angle r=(2x + 13…
\(x = 14\)
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based on the given information, which of the following can be used to p…
A. AAS
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based on the given information, which of the following can be used to p…
SAS
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based on the given information, which of the following can be used to p…
HL
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which of the following properties is the reason for the statement: \\( …
Reflexive Property
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read this excerpt from extremely loud and incredibly close. one night, …
His fond recollections emphasize his genuine sincerity.
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the volume of a cylinder is given by the formula ( v=pi r^{2} h ), wher…
\(2\pi x^{3}-5\pi x^{2}-24\pi x + 63\pi\) (the second option)
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9. in the cylinder below, the diameter of the circular base is equal to…
C. 170
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select the correct answer. in her notebook, pia wrote these steps to co…
B. Draw any diameter on a circle and label it \( \overline{JK} \)
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to make cream ice pops, nina uses conical molds that each have a height…
D. \(20\pi\) cubic centimeters
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which line from extremely loud and incredibly close reveals a nostalgic…
We used to Greco - Roman wrestle on the floor in there, and tell hilarious jokes, and once we hung a pendulum from the ceiling and put a circle of dominoes on the floor to prove t…
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a developer buys an empty lot to build a small house. what is the area …
\(80\) square yards
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select the correct answer from each drop - down menu. how can the surfa…
The surface area of the onion can best be modeled by a sphere. Based on the model, the approximate surface area of the onion is \(38.5\) square inches.
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in \\( \triangle efg \\), \\( overline{eg} \\) is extended through poin…
\(24^{\circ}\)
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select the correct answer. in the diagram, point m is the center of the…
B. \(67^{\circ}\)
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question 19 (5 points) listen what is the length of the altitude cd in …
\(\sqrt{11}\)
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the volume of each object to the nearest un 3. 5 cm 12 cm 3 in.
\(314\space cm^{3}\)
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a polygon with 12 sides is called a/an a) nonagon. b) undecagon. c) pen…
D. dodecagon
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question 17 (5 points) listen what is the area of the given trapezoid a…
The area of trapezoid \(ABCD\) is \(56\) square inches.
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question 9 refers to the following drawing. 9. linda adds a water stabi…
C. 17
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select the correct answer from each drop - down menu. a composite figur…
The surface area of the cube is \(216\) square feet. The surface area of the square prism is \(480\) square feet. The surface area of the pyramid is \(48\) square feet. The total …
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8. a wooden crate measures 5 feet along each edge. what is the crates v…
C. 125
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example 3: a storage tank has a radius of 1.5 meters and a heigh volume…
\( 160\)
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quiz: polygons and triangles which one of the following proportions is …
A. \(\frac{AC}{AE}=\frac{BD}{BF}\)
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a line connecting a vertex of a scalene triangle with the midpoint of t…
A. median.
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find p. 3√3 mi 60° p 30° write your answer in simplest radical form. mi…
\(6\) miles
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question 14 (5 points) listen an equilateral polygon is one in which a)…
C. all sides are equal.
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an instrument maker creates a triangle in the shape of an isosceles tri…
The length of the longest side is \(5\) inches. The other two sides will each be \(x - 1=5 - 1 = 4\) inches.
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in the given figure, what is the measure of angle cpe? figure not drawn…
B. \(68^{\circ}\)
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question 12 (5 points) listen what property allows us to determine the …
The SSS (Side - Side - Side) property.
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write your answer in simplest radical form. centimeters submit work it …
\(\sqrt{2}\)
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select the correct answer. rounded to the nearest tenth, what is the pe…
D. 11.8 centimeters
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find y. 30° 60° 3 m y write your answer in simplest radical form. meter…
\(\sqrt{3}\) meters
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question 11 (5 points) listen what is the area of triangle abc? 12cm 14…
The area of triangle \(ABC\) is \(56\mathrm{cm}^{2}\)
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 13\)
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question 10 (5 points) listen what is the value of x to the nearest ten…
\(9.7\)
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find t. 10\\sqrt{2} mm write your answer in simplest radical form. mill…
\(10\)
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which equation represents circle n? a. $(x + 7)^2+(y - 6)^2 = 25$ b. $(…
C. \((x + 7)^2+(y - 6)^2=50\)
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find c. 8 ft 45° 45° c write your answer in simplest radical form. feet…
\(8\sqrt{2}\)
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question 9 (5 points) under what circumstances are two nonright triangl…
C. Three sides are equal
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question 8 (5 points) how many degrees are there in each exterior angle…
D. \(120^{\circ}\)
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find q. write your answer in simplest radical form. yards submit
\(2\sqrt{2}\)
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a side of the triangle below has been extended to form an exterior angl…
\(x = 17\)
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cos(90 - \\theta) = cos(31^{circ}) = sin() cos(33^{circ}) = sin() sin(2…
\(\cos(90 - \theta)=\sin\theta\), \(\cos(31^{\circ})=\sin(59^{\circ})\), \(\cos(33^{\circ})=\sin(57^{\circ})\), \(\sin(28^{\circ})=\cos(62^{\circ})\)
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find m. 30° 20 cm 60° m write your answer in simplest radical form. cen…
\(10\) centimeters
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graded quiz: polygons and triangles : polygons and triangles question /…
Isosceles triangle
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a side of the triangle below has been extended to form an exterior angl…
\(x = 35\)
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find p. write your answer in simplest radical form. kilometers submit
\(2\) kilometers
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select the correct answer. on a football field, the left and right tack…
B. 26.2 yards
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question 6 (5 points) use the diagram to find the value of the median o…
14
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select the correct answer. what is the value of x in the triangle? a. 3…
B. 3
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graded quiz: polygons and triangles what is the length of the hypotenus…
B. 7.2
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graded quiz: polygons and triangles question 4 (5 points) listen if the…
\(x = 24\space in\)
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graded quiz: polygons and triangles question 3 (5 points) listen if tri…
\(78^{\circ}\)
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question 2 (5 points) listen a right triangle has the hypotenuse ( c = …
\(a = 6\space\text{cm}\), so the answer is C.
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question 1 (5 points) saved listen if abcd is a parallelogram, what can…
The diagonals \(BD\) and \(AC\) bisect each other.
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question 1 (5 points) saved listen if abcd is a parallelogram, what can…
The diagonals \(BD\) and \(AC\) bisect each other.
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match the measurements with their corresponding part of the track. a ru…
length of the straight part of the track: \(d. 84.39\) m; width of the straight part of the track: \(c. 73\) m; diameter of the larger semicircle, including some track and a grass…
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10. two sides are given in an equilateral triangle: side 1 = 3x + 7, an…
C. side length = 28