Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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an isosceles triangle with base 10cm has an area of 60cm². find its per…
36 cm (corresponding to the option with 36 cm)
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solve for x to make a||b. (9x + 24)° (3x)° x =?
\(x = 13\)
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the perpendicular bisectors of the sides of a triangle meet at a point …
B. circumcenter
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an equilateral triangle has side lengths that measure x + 2 inches. the…
$3(x + 2) = 19.8$
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for the given diagram which of the following is true? options: - $\\tri…
D. \( \triangle ABC \cong \triangle ADC \) by ASA and \( AC = AC \)
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8. the circumference of a penny is about 59.817 millimeters. what is th…
The diameter of the penny is approximately 19.04 millimeters.
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design an art class is making a mural for their school which has a tria…
\(3x + 12\)
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if the lengths of two sides of a triangle are 7 and 10, the length of t…
4
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7. the circumference of a circle is 37.68 inches. calculate the diamete…
12 inches
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15. kyle and his father are planning to repaint one wall in kyle’s bedr…
A. \(10\times10 + 10\times8\) ### Part b:
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6. if the circumference of a circle is 106.76 meters, what is the radiu…
17 meters
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in the figure, identify the segment which has been bisected. options: $…
\(\overline{AC}\)
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4. hosea used a compass to draw a circle. he measured the distance all …
About 12.56 inches
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if two sides of a triangle have lengths 4 and 9, then the length of the…
greater than 5 but less than 13
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pierce is making a rectangular frame for a photo collage that has a per…
$78.6 = 2(20.8 + x)$
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3. a circular pool has a radius of 7.5 feet. calculate the length of tr…
The length of trim needed is approximately 47.12 feet (or exactly $15\pi$ feet).
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13. ema cut three rectangles from wood for a birdhouse. how do their ar…
The areas of Rectangle A, Rectangle B, and Rectangle C are equal (each is 16 square feet) because when we calculate the area of each rectangle using the formula \( \text{Area} = \…
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if the lengths of two sides of a triangle are 2 and 5, the length of th…
6
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solve for x to make a||b. a (6x + 14)° 56° b x =?
\(x = \frac{55}{3}\) or \(x \approx 18.33\)
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13. when constructing a line segment congruent to \\( \\overline{ab} \\…
13. C. Draw an arc with the compass point on $B$. 14. A. $A(-5,-5), B(3,-9), C(-11,-7)$ (assumed typo correction) 15. B. $B'(2,1)$ 16. B. $C'(1,2)$ 17. D. $A'(4,-4)$ 18. A. $B'(-2…
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part 2: answer the following word problems. use 3.14 for π. 1. the radi…
73.5 meters
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regular polygons have congruent sides and congruent angles. the regular…
$6y - 5$
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find x. 80° 30° x 80° 110° 50° 120°
\(110^{\circ}\) (corresponding to the option with \(110^{\circ}\))
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the asa congruency axiom states that two triangles are congruent if: tw…
A. two angles and the contained side of one triangle are equal to two angles and the contained angle of the other triangle.
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test prep 8. two chefs are working on cylindrical cakes. david wants to…
8. David made a cut parallel to the cylinder's vertical axis (to get a rectangle), while Terri made a cut parallel to the cylinder's circular base (to get a circle). 9. Rectangle …
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in triangle ( abc ), the measure of angle ( a ) is ( 40.5^circ ) and th…
\(55.8^\circ\) (the option with \(55.8^\circ\))
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triangles efg and qrs are similar. the lengths of the sides of efg are …
B. 180
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all of the figures shown are scalene triangles. which of the following …
C. no equal sides (assuming the options are labeled with letters, e.g., if "no equal sides" is option C, then the answer would be C. no equal sides; adjust the label based on the …
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in the diagram, ( ad = cd = cb ) and ( mangle a = 40^circ ). how many d…
20
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write the ratio of the first measurement to the second measurement. 9. …
The ratio is $\frac{14}{5}$ (or 14 : 5)
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identify the hypotenuse of $\\triangle wxy$. $\\overline{xy}$ $\\overli…
\(\overline{XY}\)
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y = -2x - 2 y = x + 1 plot two lines by clicking the graph. click a lin…
The two lines are plotted with intersection at \( (-1, 0) \) (if solving the system) or the graphical lines as per the steps above.
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use the picture to the right to answer questions 8 – 10. 8. what is the…
8. A. 40 units 9. C. 95 units² --- ### Question 10
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which sequence of transformations can only be used to prove similarity …
C. rotated, then dilated
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25.) δabc has the coordinates a(-2,3), b(3,1), and c(5,4). what are the…
\(A' = (2, 3)\), \(B' = (-3, 1)\), \(C' = (-5, 4)\)
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solve the inequality and graph the solution. 7 - b < 9 plot the endpoin…
The solution to the inequality \( 7 - b < 9 \) is \( b > -2 \). To graph this, we draw an open circle at \( -2 \) (since the inequality is strict, \( b eq -2 \)) and draw a ray …
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which of the following best represents \\(\\vec{a} + \\vec{b} = \\vec{c…
The second diagram (where \(\vec{A}\) is downward, \(\vec{B}\) is rightward from \(\vec{A}\)’s head, and \(\vec{C}\) connects \(\vec{A}\)’s tail to \(\vec{B}\)’s head).
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shanelle and leon were asked to use their protractors to measure the pa…
base angles are congruent
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solve the inequality and graph the solution. 2z + 2 < 10 plot the endpo…
The solution to the inequality \( 2z + 2 < 10 \) is \( z < 4 \). To graph this, we draw an open circle at \( z = 4 \) (since the inequality is strict, \( z \) cannot equal 4) and …
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\\begin{cases} y = \\frac{6}{5}x + 3 \\ y = -\\frac{1}{5}x - 4 \\end{ca…
The solution to the system of equations is \( x = - 5 \) and \( y = - 3 \), or the ordered pair \( (-5, -3) \).
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given $\\triangle abc$ with $ab = ac$. use deductive reasoning to compl…
\( m\angle A = 100^\circ \) (the option corresponding to this is the one with \( m\angle A = 100^\circ \))
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which rule explains why these triangles are congruent? sas aas asa sss …
AAS
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choose all that correctly describe a property of a similarity transform…
A. Corresponding angles are congruent for a similarity transformation. C. The scale factor for a similarity transformation is the product of the scale factors. D. Each point P' in…
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write the coordinates of the vertices after a reflection over the y - a…
$L'(8, 5)$, $M'(6, 5)$, $K'(8, -5)$, $N'(6, -5)$
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these figures are congruent. what is ( mangle r )?
$90$
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11-4 quick check (2 digit divisor) a company is developing packaging fo…
B. $(2 \times 4 \times 3)+(2 \times 4 \times 9)$ E. $(3 \times 4 \times 4)+(6 \times 4 \times 2)$
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which triangle defined by the given points on the coordinate plane is s…
D. \((-1, 1)\), \((-1, 5)\), \((-7, 1)\)
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write the coordinates of the vertices after a reflection over the x - a…
The coordinates after reflection over the x - axis are \( E'(1, 3) \), \( F'(2, 3) \), \( G'(2, 7) \)
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which rule explains why these triangles are congruent? aas asa sas sss …
SSS (along with the option description: The rule that explains why these triangles are congruent is SSS, so the answer is the option labeled "SSS")
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consider that \\(\\triangle abc\\) is similar to \\(\\triangle xyz\\) a…
B. \( 68^\circ \)
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for which of the following conjectures can a counterexample be found? a…
medians and altitudes intersect in a common point
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question image what is the solution?
The solution (intersection point) is \((1, - 1)\)
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5. calculate the area of the circle shown in the cartesian plane below.…
$10\pi$ --- ### 문제 6
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consider the statement: \in a triangle, the measure of an exterior angl…
D. Right triangle (assuming the options are labeled as A. Acute triangle, B. Altitude of a triangle, C. Equilateral triangle, D. Right triangle)
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4 mi. 1 mi. b what is the length of the missing leg? if necessary, roun…
\(3.9\)
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is this a polygon? yes no submit work it out not feeling ready yet? the…
yes
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is this shape a regular polygon? yes no submit work it out not feeling …
no
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is this shape a regular polygon? (the image shows a quadrilateral with …
yes
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three people are sitting on a bus. maggie is directly behind rudy and d…
\( \boxed{1.0} \)
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what kind of polygon is this? convex concave
concave
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what is the length of the hypotenuse? if necessary, round to the neares…
\( 8.8 \)
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is this shape a regular polygon? yes no submit work it out not feeling …
yes
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is this shape a regular polygon? yes no submit work it out not feeling …
no
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is this a polygon? yes no submit work it out not feeling ready yet? the…
yes
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kenneth takes a 7.1-inch by 3.8-inch sheet of paper and cuts from one c…
\( 19.0 \)
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is this a polygon? yes no submit work it out not feeling ready yet? the…
no
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is this shape a regular polygon? yes no submit work it out not feeling …
no
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1. the following are the equations of two perpendicular lines: y = ax +…
1. d. $c=-\frac{1}{a}$ 2. a. $3x - 2y = 0$ 3. b. $(-4, 6)$ 4. $(4, 3)$
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question given ( m parallel n ), find the value of ( x ) and ( y ).
\( x = 11 \), \( y = 58 \)
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tony is building a pool shed shaped like a rectangular prism. it will b…
A. Since $378=63 \times w$, the width is 6 feet.
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which diagram is a net for this prism? what is the surface area of the …
# Explanation: ## Step1: Recall the formula for the surface area of a triangular prism The surface area \( SA \) of a triangular prism is given by the formula: \( SA = 2B + Ph \),…
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question given ( m parallel n ), find the value of ( x ) and ( y ).
\( x = 4 \), \( y = 137 \)
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question image (a coordinate grid with two lines, one red and one blue,…
The intersection point of the two lines is \( (-4, -8) \)
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question image (a coordinate grid with two red lines plotted)
The two lines have a slope of \(\boldsymbol{-2}\) and are parallel.
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problem #6: below the perimeter of the rectangle is equal to the perime…
The perimeter of both figures is \(\boldsymbol{46}\).
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find the missing measurement. round your answer to the nearest tenth. ?…
2.2 ft
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problem #5: if 4 times a number is increased by 18, the result is 10 le…
The number is 14. ### Problem #6
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1. let ( p ) be a point on the terminal side of ( \theta ). draw a pict…
### a. $\sin\theta=\frac{3}{5}$, $\cos\theta=\frac{4}{5}$, $\tan\theta=\frac{3}{4}$, $\csc\theta=\frac{5}{3}$, $\sec\theta=\frac{5}{4}$, $\cot\theta=\frac{4}{3}$ ### b. $\sin\thet…
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question image (a coordinate grid with two red lines, one with a steepe…
The intersection point of the two lines is \((4, 3)\)
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what is the slope of the line that passes through the points (5, -1) an…
\(-\frac{1}{2}\) (corresponding to the option: \(-\frac{1}{2}\))
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multiple choice 10 points where does the point (3, -5) lie in relation …
Inside the circle (the option: Inside the circle)
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determine the triangle similarity theorem for each triangle pair below.…
s (Selected Problems) - **Problem 10**: \( x = 4 \) - **Problem 11**: \( x = 8 \) - **Problem 14**: \( S = 48 \) (or \( SB = 36 \), depending on interpretation) - **Problem 15**: …
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the slope of the line determined by the points (-3, 2) and (2, -3) is z…
\(-1\) (corresponding to the option with \(-1\))
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2/13 this system has ______ solutions 0 2 1 infinitely many
1 (and the option corresponding to "1" among the choices, e.g., if the options are as shown with "1" as a choice, the answer is the option with "1" text)
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multiple choice 10 points which is the equation of a circle whose cente…
\(x^2 + y^2 = 34\) (the option with this equation)
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multiple choice 10 points a circle has the equation ((x - 3)^2 + (y + 5…
The y - coordinate of the center is 5.
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which of the following can be measured? line angle point ray
B. angle
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question 1 of 10 find m\\overline{bc} in \\triangle abc.
$8\sqrt{2}$
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which two angle measurements (in degrees) are complementary? 42 and 48 …
A. 42 and 48
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use the given information to complete the proof of the following theore…
- Statement 3: \( \angle 1 \cong \angle 3 \) - Statement 4: \( \overline{XZ} \cong \overline{XZ} \) - Statement 5: \( \triangle WXZ \cong \triangle YZX \), Reason: SAS Congruence …
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find the missing measurement. round your answer to the nearest tenth. a…
$6.7$ cm
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multiple choice 10 points a circle has the equation ((x + 5)^2 + (y - 2…
\((-5, 2)\)
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multiple choice 10 points a circle has the equation $x^2 + y^2 = 16$. w…
4 (corresponding to the option with "4" as the text, e.g., if the option is labeled as, say, C. 4, then the answer would be C. 4)
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find the area. exact answers, no rounding. 11 in area = 17.4 sq in 5.8 …
31.9 sq in
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using the given figure, determine the length of \\(\\overline{pr}\\) if…
17 units
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what is the surface area? 15 in 15 in 15 in square inches
1350
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given that \\( \\overline{de} \\) is a perpendicular bisector of \\( \\…
\(CE = BC\) (the statement that is not true)
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for each value of w, determine whether it is a solution to \\(\\frac{w}…
| $w$ | Is it a solution? | |-----|-------------------| | 27 | No | | 30 | Yes | | -3 | No | | -24 | No |
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what is the surface area? 14 m 14 m 14 m square meters
1176 square meters
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what is the surface area? 1 cm, 6 cm, 2 cm square centimeters
40 square centimeters