Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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6. △cgn is isosceles. 18−12x 68° 66−9x 60−3x 56° q m∠g= hg= (name the s…
# Explanation: ## Step1: Find \(m\angle G\) The sum of angles in a triangle is \(180^{\circ}\). So, \(m\angle G=180-(68 + 56)=180 - 124 = 56^{\circ}\) ## Step2: Determine correspo…
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if ac = 23 and bc = 19, find ab. 23 a b c 19 ab = ?
\(4\)
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if ac = 19 and bc = 12, find ab. ab =
\(7\)
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22) given: \\( \\overline { m n } \\cong \\overline { p o } , \\overlin…
| Statement | Reason | |--|--| | \(MN\cong PO\) | Given | | \(MP\cong NO\) | Given | | \(PN = NP\) | Reflexive property of congruence | | \(\triangle PMN\cong\triangle NOP\) | SSS…
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a square prism has a base side length of 8 centimeters and a height of …
\(320\)
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a prism has a volume of 900 cubic meters. if a pyramid has the same bas…
300
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5. use the exterior angle theorem to find the value of $x$. $x =$
\(x = 7\)
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find the value of x.
\(49\)
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back to home g - 4.1 - 4.3 congruent triangles 100% credit until: decem…
\(54\)
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find the angle between ( 0^{circ} ) and ( 360^{circ} ) that is cotermin…
\(200\)
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question given \\( \\overline { b d } \\) is the segment bisector of \\…
- For \( \overline{AD}\cong\overline{CD} \): Definition of segment bisector - For \( \angle ADB\cong\angle CDB \): Vertical angles are congruent - For \( \angle A\cong\angle C \):…
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if ac = 36 and bc = 21, find ab. ab = ?
\(15\)
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find the midpoint, m, of \\overline{ab}.
\(19\)
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given ( d ) is the midpoint of ( overline{ac} ) and ( overline{ac} perp…
- For $\angle ADB\cong\angle CDB$: All right angles are congruent. - For $\overline{AD}\cong\overline{CD}$: Definition of midpoint. - For $\overline{BD}\cong\overline{BD}$: Reflex…
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20) a) solve for x. x = ______________ b) find the measure of each angl…
a) \(x = 12\) b) \(m\angle F=72^{\circ}\), \(m\angle H = 50^{\circ}\), \(m\angle S=58^{\circ}\) c) Classify by angles: acute triangle; Classify by sides: scalene triangle
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the figure below has a point marked with a large dot. first, translate …
Point in original figure: \((-5,3)\) Point in final figure: \((3,-2)\)
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if ac = 63 and bc = 45, find ab. ab = if b is between a and c, then ab …
\(18\)
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question find the ratio of triangles to total shapes in the diagram bel…
For every 2 triangles there are \(5\) total shapes, therefore the simplified ratio of triangles to total shapes is \(2:5\).
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find the midpoint, m, of \\overline{ab}. midpoint is the sum of the two…
\(37\)
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find the midpoint, m, of ab. a m b 20 ? 54
\(37\)
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find the ratio of triangles to total shapes in the diagram below. unsim…
\(4:10\)
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18) solve for x and find the length of \\( \\overline { f n } \\) \\( x…
For problem 18: \(x = 9\) \(FN=48\) For problem 19: \(x = 6\) \(y=-2\)
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the perimeter of the larger rectangle on the figure below is 54 feet. a…
\(x + y=10\)
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find the value of x.
\(x = 50\)
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the following figure is a rectangle made up of two smaller rectangles. …
(a) The light rectangle: \(7x\); The dark rectangle: \(42\) (b) As a sum of two areas: \(7x + 42\); As a product of the length and width: \(7x + 42\)
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1 select the correct answer from the drop - down menu. a cylinder is sl…
An ellipse.
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(a) find the area of the following (in square units). the dark rectangl…
- The dark rectangle: \(6x\) - The light rectangle: \(30\) - As a sum of two areas: \(6x+30\) - As a product of the length and width: \(6(x + 5)\)
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in the figure below, ( pq = 9 ) and ( qr = 6 ). find ( pr ).
\(15\)
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in the figure below, ( wy = 35 ) and ( xy = 18 ). find ( wx ).
\(17\)
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the following figure is a rectangle made up of two smaller rectangles. …
(a) The dark rectangle: \(18\); The light rectangle: \(9x\) (b) As a sum of two areas: \(18 + 9x\); As a product of the length and width: \(9(2 + x)=18 + 9x\)
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unit 3 worksheet tr1: test review classify triangles: classify the tria…
1. Sides: C (Isosceles), Angles: E (Acute) 2. Sides: B (Scalene), Angles: F (Obtuse) 3. Sides: A (Equilateral), Angles: D (Equiangular) 4. Sides: B (Scalene), Angles: G (Right) 5.…
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2. $a=$ $b=$ $c=$
\(a = 47\), \(b = 47\), \(c = 43\)
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19. smp.3 error analysis describe and correct the error in graphing the…
The error was that the \(x -\) coordinate was increased (instead of decreased by \(3\)) and the \(y -\) coordinate was decreased (instead of increased by \(2\)). The correct coord…
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two opposite rays form a ________. q r s line point segment plane
line
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if two different lines intersect, they intersect in exactly ________ po…
one
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which geometric construction depicts a ray?
The second geometric construction (with endpoint A and extending through B infinitely) depicts a ray.
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to indicate that a line continues indefinitely in both directions, what…
Arrows
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the volume of a conical candle mold is 120 cubic centimeters, and its h…
\(3.8\)
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which of the following is described below? this object goes forever in …
Line
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the volume of a conical vase is 90 cubic centimeters, and the radius of…
\(5.4\)
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given a cone with a volume of 180 cubic meters and a radius of 5 meters…
\(h=\frac{(3)(180)}{(5)^{2}\pi}\) (the second option)
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the table shows the coordinates of the vertices of \\( \\triangle jkl \…
4 units down
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a water fountain sprays water in a cone shape. the radius of the water …
\(39.3\)
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study next figure. what is the volume of the figure if cb = 3.5 inches …
\(153.9\) cubic inches.
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which two triangles are congruent by the sss theorem? complete the cong…
\( \triangle JIK\cong\triangle XYW \)
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a baker is designing a cone - shaped funnel to pour batter into cylinde…
It would take 3 cones to fill the volume of the cylinder. The formula for the volume of a cylinder is \(V = Bh\) or \(\pi r^{2}h\). So, the volume of a cone can be expressed as \(…
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which two triangles are congruent by the sas theorem? complete the cong…
\(\triangle WXV\cong\triangle GIH\)
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△def is translated 5 units down to form its image. how do the coordinat…
In \(\triangle D'E'F'\), each \(y -\)coordinate is \(5\) less than the \(y -\)coordinate of the corresponding vertex in \(\triangle DEF\), while the \(x -\)coordinates remain the …
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how many times greater is the volume of a cylinder compared to a cone w…
A. Three times
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which two triangles are congruent by the sas theorem? complete the cong…
\(\triangle IJK\cong\triangle VUT\)
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7. ( p(0,1) ) write a rule for the translation of ( \triangle lmn ) to …
The rule for the translation is \( (x,y)\to(x - 6,y + 2)\)
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△def is translated 5 units down to form its image. complete the table t…
| \(\triangle DEF\) | \(\triangle D'E'F'\) | | ---- | ---- | | \(D(-3,3)\) | \(D'(-3,-2)\) | | \(E(-1,4)\) | \(E'(-1,-1)\) | | \(F(2,1)\) | \(F'(2,-4)\) |
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study the next figure. what is the volume of the figure? use 3.14 for π…
\(148.4\) cubic inches
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△abc is shown in the coordinate plane. △abc is translated 2 units to th…
In \(\triangle A'B'C'\), each \(x\) - coordinate will be \(2\) less than the \(x\) - coordinate of the corresponding vertex in \(\triangle ABC\), and the \(y\) - coordinates will …
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in the figure below, ( l parallel m ). find ( x ).
\(96\)
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a cylinder has a radius of 6 units and a height of 15 units. what is th…
\(565.2\)
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in the figure below, ( l parallel m ). find ( x ).
\( x = 39 \)
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the volume of a cylinder is 720π cubic units. what is the volume of a c…
\(240\pi\)
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which rule explains why these triangles are similar?
C. AA
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select choice 3.1 3.2 3.3 3.4 3.5 3.6 3.7 points g and p are collinear.…
Through any two points, there is exactly one line.
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which rule explains why these triangles are similar? sss sas aa none of…
none of the above; the triangles cannot be proven similar
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look at the coordinates of the triangles. what do you notice? each of △…
Each \(x -\) coordinate of \(\triangle A'B'C'\) is \(3\) more than the corresponding \(x -\) coordinate of \(\triangle ABC\), and the \(y -\) coordinates are the same.
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complete the table to show the coordinates of the vertices of △abc. △ab…
| \(\triangle ABC\) | \(\triangle A'B'C'\) | | ---- | ---- | | \(A(-2,3)\) | \(A'(1,3)\) | | \(B(0,4)\) | \(B'(3,4)\) | | \(C(1,1)\) | \(C'(4,1)\) |
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a storage tank is in the shape of a cone. it has a volume of 2,500 cubi…
The height of the tank is approximately \(37.3\) meters.
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complete the table to show the coordinates of the vertices of △abc.
| \( \triangle ABC \) | \( \triangle A'B'C' \) | | ---- | ---- | | \( A(-2,3) \) | \( A'(2,2) \) | | \( B(0,4) \) | \( B'(4,3) \) | | \( C(1,1) \) | \( C'(5,0) \) |
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a conical grain silo has a volume of 1,800 cubic meters and a height of…
\(13.1\)
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which rule explains why these triangles are similar? sss sas aa none of…
none of the above; the triangles cannot be proven similar
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which rule explains why these scalene triangles are similar? sss sas aa…
none of the above; the triangles cannot be proven similar
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a conical water tank has a radius of 4.5 meters and a height of 15 mete…
\(317.9\)
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a. find the sum of the measures of the angles for the figure given. b. …
\(m\angle A = 160^{\circ}\) y \(m\angle B = 20^{\circ}\)
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which rule explains why these triangles are similar? sss sas aa none of…
none of the above; the triangles cannot be proven similar
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which rule explains why these triangles are similar? sss sas aa none of…
AA
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are these scalene triangles similar? yes no
no
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describe the translation that maps △def onto △jkl. translate △def units…
Translate \(\triangle DEF\) \(2\) units to the right to form \(\triangle JKL\).
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which rule explains why these triangles are similar? write a similarity…
\(\triangle DEF\sim\triangle IKJ\)
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a cone - shaped oil tank has a base area of 85.7 square meters and a he…
\(257.1\)
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music explain how the figure illustrates that the statement is true. th…
The two planes meet at the line which lies on line \(t\). Postulate: If two planes intersect, then their intersection is a line.
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a football is thrown by a quarterback to a receiver. the points in the …
\((15,12)\) Interpretation: When the football is 15 yards from the quarterback, its height above the ground is 12 feet.
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are these triangles similar?
no
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4. $y = - 2$
\(K'(-1,-4)\), \(L'(-2,-6)\), \(M'(1,-8)\), \(N'(2,-4)\)
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translate \\( \\triangle r s t \\) 5 units to the left to form \\( \\tr…
Quadrant II
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are these triangles similar? yes no
no
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which of the following is a perspective drawing?
The fourth drawing (the pyramid - like shape with dashed lines indicating hidden edges) is a perspective drawing.
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where will the image of △rst be located? quadrant i quadrant ii quadran…
A. Quadrant I
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are these triangles similar? yes no
no
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a. find the sum of the measures of the angles for the figure given. b. …
\(720\)
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which net below represents a cube?
The third net.
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are these triangles similar? write a similarity statement. △ ~ △
\( \triangle DEF\sim\triangle VWU \)
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(a) an angle measures 53°. what is the measure of its complement? (b) a…
measure of the complement: \(37^{\circ}\) measure of the supplement: \(114^{\circ}\)
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what kind of drawing is this figure? a perspective drawing a triangle a…
A net
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(a) an angle measures 149°. what is the measure of its supplement? (b) …
measure of the supplement: \(31^{\circ}\) measure of the complement: \(48^{\circ}\)
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(a) an angle measures 26°. what is the measure of its complement? (b) a…
measure of the complement: \(64^{\circ}\) measure of the supplement: \(37^{\circ}\)
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(9x + 12) (4y - 10) 3x x: y:
\(x = 14\), \(y = 13\)
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solve for x. round to the nearest tenth of a degree, if necessary. answ…
$26.6$
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if this net were to be folded into a cube, which number would be opposi…
\(4\)
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which of the following is considered to be a 3 dimensional figure? a cu…
A. A cube
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solve for x. round to the nearest tenth of a degree, if necessary. answ…
\(61.8\)
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solve for x. round to the nearest tenth of a degree, if necessary. answ…
\(x = 53.1\)
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where will the image of △abc be located? quadrant i quadrant ii quadran…
Quadrant IV
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solve for x. round to the nearest tenth, if necessary.
\(x\approx2.8\)