Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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4.1 reflections · spiral review graph the image of each figure under th…
1. \(A'(2,-4)\), \(B'(1,-1)\), \(C'(-3,-2)\) 2. \(D'(-1,-3)\), \(E'(-1,2)\), \(F'(-4,2)\), \(G'(-6,-3)\) 3. (Using \(R(-3,1)\), \(S(2,3)\), \(T(3,-2)\), \(U(-2,-4)\) assume coordi…
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analyzing the symmetry of trapezoids which statements are true regardin…
The trapezoid has 1 line of reflectional symmetry. The line of symmetry is a vertical line.
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are the two triangles congruent? if so, write the congruence statement.…
C. Yes, \(\triangle GHJ\cong\triangle MLK\) by the HL theorem.
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determine if the two figures are congruent and explain your answer usin…
The two figures are congruent. A translation (1 unit right and 4 units down) of the first - figure (with vertices \(A\), \(B\), \(C\), \(D\)) maps it onto the second - figure (wit…
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answer attempt 2 out of 3 area = units²
\(34\)
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w is the midpoint of \\( \\overline{vx} \\). complete the proof that \\…
4. $\angle XWZ\cong\angle VWY$; Vertical angles are congruent 5. $\triangle WXZ\cong\triangle W V Y$; SSS (Side - Side - Side) congruence criterion
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determine which segment is shortest in the diagram. choose the shortest…
C. \(\overline{XY}\)
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determine which segment is shortest in the diagram. note that the figur…
$\overline{WX}$
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find the values of m and n. the value of m is 34°. the value of n is □°.
\(22\)
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r is the midpoint of \\( \\overline{qs} \\), \\( \\overline{rt} \\cong …
| Statement | Reason | |--|--| | 1. \(R\) is the midpoint of \(\overline{QS}\) | Given | | 2. \(\overline{RT}\cong\overline{SU}\) | Given | | 3. \(\overline{QT}\cong\overline{RU}\…
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determine which segment is shortest in the diagram. note that the figur…
\(\overline{XZ}\)
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determine which segment is shortest in the diagram. note that the figur…
\(\overline{MN}\)
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$$ \\overleftrightarrow{v y} $$ bisects $$ \\angle w v x $$. complete t…
1. Given 2. Given 3. Definition of angle bisector 4. Reflexive property of congruence 5. SAS (Side - Angle - Side) congruence criterion
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13. if b is the midpoint of \\( \\overline { a c } \\), \\( a c = c d \…
\(11\)
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z is the midpoint of ( overline{xy} ) and ( overline{wz} perp overline{…
$\triangle WXZ\cong\triangle WYZ$; SAS (Side - Angle - Side) congruence criterion
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δhik ≅ δjgk. complete the proof that δijk ≅ δghk. 1 δhik ≅ δjgk given 2…
The proof is completed as shown in the steps above.
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list the sides of each triangle in order from shortest to longest. δcba…
F. \(\overline{AC},\overline{AB},\overline{CB}\)
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9. graph the image of the quadrilateral below using a scale factor of (…
\(Q'(-\frac{3}{2},9)\), \(R'(\frac{3}{2},6)\), \(S'(3,-\frac{3}{2})\), \(T'(0,-\frac{3}{2})\)
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△uvx is equilateral, ∠wvx ≅ ∠xuy, and (overline{vw}congoverline{uy}). c…
\(\triangle VWX\cong\triangle UYX\) by the SAS (Side - Angle - Side) congruence criterion.
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list the sides of each triangle in order from shortest to longest. △cba…
F. \(\overline{AC},\overline{AB},\overline{CB}\)
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enter the correct answer. calculate the circumference. formula: c = πd …
\(69.1\)
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enter the correct answer. calculate the circumference. formula: c = πd …
\(34.5\)
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answer attempt 2 out of 3 area = units² submit answer
\(82\)
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graph the image of s(3,4) after a reflection over the y - axis.
The image of \(S(3,4)\) after reflection over the \(y\) - axis is \((-3,4)\). Plot the point \((-3,4)\) on the coordinate plane (3 units to the left of the \(y\) - axis and 4 unit…
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y is the midpoint of \\( \\overline { v x } \\) and \\( \\overline { u …
1. Given 2. Given 3. Given 4. Definition of mid - point 5. Definition of mid - point 6. SSS (Side - Side - Side) Congruence Criterion
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list the sides of each triangle in order from shortest to longest. \t δ…
B. \(\overline{LM},\overline{MK},\overline{LK}\)
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find the radius of this circle if the arc length is \\frac{18\\pi}{7} a…
\(3\)
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enter the correct answer. calculate the diameter. formula: use a d = c …
\(11.8\)
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g is the midpoint of \\( \\overline{fh} \\), \\( \\overline{hj} \\cong …
4. Reason: Definition of midpoint 5. Reason: SSS (Side - Side - Side) congruence criterion.
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8. graph the image of the trapezoid below using a scale factor of $k = …
\(F'(\frac{1}{2},2)\), \(G'(1,2)\), \(H'(2,1)\), \(I'(-1,-1)\)
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find the measure of θ, in radians, if r = 8 and the arc length is 21. θ…
\(\frac{21}{8}\)
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4.8 understand: the ultimate volume showdown! show what you know a cyli…
\( 2800\space cm^{3}\) (since \( 2826\) is closest to \( 2800\) among the given options)
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complete the proof that \\( \\triangle vyz \\cong \\triangle wxz \\). 1…
1. Reflexive property of congruence; 2. Given; 3. Vertical angles theorem; 4. SAS (Side - Angle - Side) congruence criterion.
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show what you know a cereal box is shaped like a rectangular prism with…
\(1200\space\text{cm}^3\) (the first option)
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find the arc length, s, if r = 2 and the measure of the angle, \\( \\th…
\(5\)
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plot and connect the points in the order listed below. when you are don…
\(A=30 + 110=140\)
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question 11 1 pts an acute angle is an angle that is less than 90°? tru…
True
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find the measure of θ, in radians, if r = 5 and the arc length is 15.5.…
\(3.1\)
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j is the midpoint of \\( \\overline { f h } \\) and \\( \\overline { g …
$\angle FJI\cong\angle HJG$ (by vertical angles theorem)
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find the arc length, s, if r = 6 and the measure of the angle, \\( \\th…
\(18\)
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question 10 1 pts express 25.17° as degrees and minutes. round the answ…
25 degrees 10 minutes
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fg ≅ hi and fi ≅ gh. complete the proof that △fgh ≅ △hif. statement 1 f…
$\overline{FH}\cong\overline{HF}$ (Reflexive property) is the missing statement for step 3, and then $\triangle FGH\cong\triangle HIF$ by SSS.
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select the sentence that uses personification. fine rays of sunlight tr…
"Tiny wildflowers shyly emerged through the cracks in the pavement."
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tw bisects ∠utv and tv ≅ tu. complete the proof that △tuw ≅ △tvw. state…
\(\triangle TUW\cong\triangle TVW\) (by the Side - Angle - Side (SAS) Congruence Criterion)
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greek architects considered a rectangle whose length was approximately …
\( 1.6W+W = 156 \)
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solve for ( x ) and graph the solution on the number line below. ( 18 g…
Inequality Notation: $-4\leq x\leq8$ To graph on the number line: Place a closed - circle at $x = - 4$ (since the inequality includes equality for $x\geq - 4$) and at $x = 8$ (sin…
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subject home my scores to-do list • a tall cylinder (like a smoothie cu…
1. The cylinder likely holds the most as its volume formula ( \( V = \pi r^{2}h\)) gives a larger value than the cone (\( V=\frac{1}{3}\pi r^{2}h\)) and compared to sphere (assumi…
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greek architects considered a rectangle whose length was approximately …
The width \( W = 60\) ft and the length \( L = 96\) ft.
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question 9 1 pts express ( 92 ^ { circ } 48 ^ { prime } ) as decimal de…
\(92.8\) (corresponding to the third option \(92.8\))
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w is the midpoint of \\( \\overline{vx} \\). complete the proof that \\…
\(\triangle VWY\cong\triangle WXZ\) by the SSS (Side - Side - Side) congruence criterion.
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solve for ( x ) and graph the solution on the number line below. ( -x -…
Inequality Notation: \(x\leq - 1\) or \(x\geq6\) For the number - line: - For \(x\leq - 1\), draw a closed circle at \(-1\) (because the inequality includes equality) and shade to…
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u is the midpoint of \\( \\overline { s t } \\). complete the proof tha…
1. Given 2. Given 3. Definition of mid - point 4. Reflexive property of congruence 5. SSS (Side - Side - Side) congruence criterion
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question point o is on line segment \\overline{np}. given op = 4x - 5, …
\( 11 \)
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10 fill in the blank 1 point find ( m angle a c b ). navigate to questi…
\(m\angle ACB = 39^{\circ}\)
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use the protractor to find the degree measure of the angle. make sure t…
\(135^{\circ}\)
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question point k is on line segment jl. given jk = 2x, kl = x + 3, and …
\(6\)
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a ladder is leaning against a wall. the base is 8 feet from the wall, a…
The length of the ladder is approximately \(13.6\) feet.
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9 fill in the blank 1 point find ( m angle w y z ).
\(61\)
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what is the capacity for the container below? (give answers in metric t…
\(4.0\space L\)
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$$ \\overline { v w } \\cong \\overline { t u } $$ and $$ \\overline { …
1. Given 2. Given 3. Alternate - interior angles theorem 4. Reflexive property of congruence 5. SAS (Side - Angle - Side) congruence criterion
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based on the image, what is the distance between points a and b? note: …
\(\sqrt{34}\)
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find the value of x.
\(x = 48.75\)
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use the protractor to find the degree measure of the angle. make sure t…
135°
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what is the volume of this figure? you may use the calculator tool in t…
64
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k is the midpoint of (overline{ij}) and (overline{hk}perpoverline{ij}).…
\(\triangle HIK\cong\triangle HJK\) by the SAS (Side - Angle - Side) congruence criterion. So the statement for line 6 is \(\triangle HIK\cong\triangle HJK\) and the reason is "SA…
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question 2 which triangle is a right triangle based on side lengths? 6,…
For question 2: None of the options \(6,12,13\); \(7,8,10\); \(4,5,6\); \(9,10,18\) form a right - triangle. For question 3: Finding the diagonal of a rectangular TV screen.
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based on the image, what is the length of the hypotenuse? question 2 wh…
10
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solve for ( x ) and graph the solution on the number line below. ( 13 <…
Inequality Notation: \(-3 < x < -1\) On the number - line: Place open circles at \(-3\) and \(-1\) and shade the region between them.
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10 fill in the blank 1 point find ( m angle a c b ). navigate to questi…
\(m\angle ACB = 39^{\circ}\)
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complete the proof that ( \triangle hjk cong \triangle hji ).
1. Given (from the diagram's markings) 2. Given (from the diagram's markings) 3. Reflexive property of congruence 4. SSS (Side - Side - Side) congruence theorem
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9 fill in the blank 1 point find ( m angle w y z ). ( x = ) ( m angle w…
\(m\angle WYZ = 61^{\circ}\)
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determine whether the statement can be assumed from the given figure. e…
Yes; right - angle; right - angle. \(\angle6\) and \(\angle8\) are complementary because \(\angle6+\angle8 = 90^{\circ}\) (since \(\angle6+\angle7+\angle8=180^{\circ}\) and \(\ang…
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you are helping your city plan emergency routes in a new neighborhood. …
We can choose the point \((5,5)\) as the emergency facility location. The distance to the fire - truck at \((2,1)\) is \(500\) meters (using the distance formula \(d = 5\times100\…
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complete the proof that ( \triangle ehi cong \triangle fgi ).
1. Reason: Given (from the segment markings in the figure) 2. Reason: Given (from the segment markings in the figure) 3. Reason: Vertical Angles Theorem 4. Reason: Side - Angle - …
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8 fill in the blank 1 point find the value of x. (5x - 24)° (8x + 9)° x…
\(x = - 11\)
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refer to the figure. if ( mangle 2=(a + 15)^{circ} ) and ( mangle 3=(a …
\(20\)
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$\\angle e$ and $\\angle f$ are complementary. the measure of $\\angle …
\(m\angle F = 18^{\circ}\) \(m\angle E = 72^{\circ}\)
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find the measures of two supplementary angles if the difference between…
B. \(72.5^{\circ},107.5^{\circ}\)
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q is the midpoint of \\( \\overline { p r } \\). complete the proof tha…
\(\triangle PQS\cong\triangle RQT\) by the SSS (Side - Side - Side) congruence criterion.
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fill in the blank 1 point find gh. d 9x - 59 x = 11.3 gh = 23.3
\(47\)
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solve for x and graph the solution on the number line below. 16\\geq - …
Inequality Notation: $-5\leq x\leq7$ For the number line: Plot a closed - circle at $x = - 5$ and $x = 7$, and draw a line segment connecting them.
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fill in the blank 1 point find gh.
\(GH = 47\)
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determine the type of triangle that is drawn below. answer isosceles ac…
Isosceles Obtuse
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you are helping your city plan emergency routes in a new neighborhood. …
The distances from the new emergency center \((6,3)\) to the three existing services are approximately \(447\) meters (to the fire - truck), \(412\) meters (to the police), and \(…
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12) find x.
\(x = 60^{\circ}\)
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the point (5, 3) has an image of (2, -1) under a translation of left 3 …
The third transformation (Translate left \(3\) units and down \(2\) units, and then reflect over the \(x\)-axis)
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find ( mangle acb ).
\(x = 11\), \(m\angle ACB=23^{\circ}\)
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11)find x.
\(x = 6\)
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solve for $x$ and graph the solution on the number line below. $-x + 6 …
Inequality Notation: $x < 4$ or $x\geq11$ For the number - line: - For $x < 4$: There is an open circle at $x = 4$ and an arrow pointing to the left. - For $x\geq11$: There is a c…
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recognizing equivalent sequences of transformations the point (5, 3) ha…
Translate left \(3\) units and down \(2\) units, then reflect over the \(x -\)axis.
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list the sides of each triangle in order from shortest to longest. δmkl…
A. \(\overline{LK}\), \(\overline{LM}\), \(\overline{MK}\)
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find ( mangle wyz ). ( x = ) ( mangle wyz = )
\(m\angle WYZ = 61^{\circ}\)
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emergency response planning you are helping your city plan emergency ro…
The fire station saves \(217\) meters.
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determine the type of triangle that is drawn below. answer scalene acut…
Scalene Obtuse
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5) find x, given the tangent line.
\(x = 12\)
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list the sides of each triangle in order from shortest to longest. δmkl…
A. $\overline{LK}$, $\overline{LM}$, $\overline{MK}$
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8 fill in the blank 1 point find the value of x. (5x - 24)° (8x + 9)° x…
\(x = - 11\)
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△vwy is equilateral, ∠vyz ≅ ∠xwy, and overline{wx} ≅ overline{vz}. comp…
\(\triangle WXY\cong\triangle VZY\) by the SAS (Side - Angle - Side) congruence criterion.
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list the sides of the triangle in order from shortest to longest. note …
C. \( \overline{BA},\overline{CB},\overline{CA} \)
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what is the volume of the rectangular prism? 1/3 ft 1 1/9 ft³ 3 1/3 ft³…
$1\frac{2}{3}$ $ft^3$