幾何
三角形、圓、解析幾何與證明題。
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solve for x. leave your answer in simplest radical form. answer attempt…
\(2\sqrt{29}\)
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solve and graph the following inequality: ( 4 > - 2 - 3 x )
The inequality is \(x > - 2\). To graph it on a number line: draw an open circle at \(-2\) (because \(-2\) is not included in the solution set) and shade to the right of \(-2\) si…
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what are the coordinates of point v? write your answer as an integer or…
\((2,-5)\)
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what is the y - coordinate of point b? y - coordinate:
\(-5\)
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find the value of x 2 15 12 x
\(9\)
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line jl and line km intersect at point h. find the three unknown angle …
The three unknown angle measures are \(51^{\circ}\), \(129^{\circ}\), and \(129^{\circ}\) (if we consider the three non - given angles in the intersection, two of them are \(129^{…
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for each pair of angle measures, decide if the angles are complementary…
- \(12^{\circ}\) and \(78^{\circ}\): Complementary - \(25^{\circ}\) and \(155^{\circ}\): Supplementary - \(50^{\circ}\) and \(50^{\circ}\): Neither - \(80^{\circ}\) and \(100^{\ci…
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find the arc length, s, if r = 6 and the measure of the angle, \\( \\th…
\(9\)
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determining a segment length segment tq is 26 units long. what is the l…
A. 8 units
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given ( mparallel n ), find the value of ( x ). answer attempt 1 out of…
\(15\)
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which two triangles are congruent by the sas theorem? complete the cong…
\(\triangle ZXY\cong\triangle CED\)
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given ( mparallel n ), find the value of ( x ).
\(30\)
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which rule explains why these triangles are congruent? sas aas sss asa …
SAS
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graph the compound inequality. x > 6 and x ≤ 8 plot the endpoints. sele…
We plot an open - circle at \(x = 6\) and a closed - circle at \(x = 8\), and then connect them with a line segment.
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graph the image of \\( \\delta stu \\) after a translation 9 units righ…
Plot the points \((0,-6)\), \((6,-6)\), \((0,-5)\) and connect them.
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use the drop - down menus to explain if the two figures below are congr…
Figure \(UVWX\) is not congruent to Figure \(DEFG\) because rigid motions cannot be used to map Figure \(UVWX\) onto Figure \(DEFG\). Figure \(UVWX\) is not similar to Figure \(DE…
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determine if triangle cde and triangle fgh are or are not similar, and,…
Triangle \(CDE\) and triangle \(FGH\) are similar by the Side - Side - Side (SSS) similarity criterion.
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are these triangles similar? write a similarity statement. △ ~ △
\(\triangle HIJ\sim\triangle TRS\)
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find the value of x. if necessary, you may learn what the markings on a…
# Explanation: ## Step1: Use the property of congruent triangles Since the two triangles have two sides equal (marked), they are congruent. So the angle adjacent to \(72^{\circ}\)…
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what is the value of y? submit y =
\(y = 4\)
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what are the coordinates of point p? write your answer as an integer or…
\((3,2.5)\)
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find the desired slopes and lengths, then fill in the words that charac…
slope of \(\overline{DE}=-2\), slope of \(\overline{EC}=2\), length of \(\overline{CD}=6\), length of \(\overline{DE}=3\sqrt{5}\), length of \(\overline{EC}=3\sqrt{5}\), Triangle …
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graph the compound inequality. $x\\geq -994$ and $x\\leq -992$ plot the…
Plot a closed - circle at \(-994\) and a closed - circle at \(-992\), and draw a line segment between them on the number - line.
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the figure shows three intersecting lines. lines g and h are perpendicu…
\(m\angle2 = 35^{\circ}\)
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use the formulas developed in this section to find the area of the figu…
\( 168\space m^{2} \)
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which rigid transformation would map \\( \\triangle mzk \\) to \\( \\tr…
a reflection across the line containing \( \overline{ZK} \)
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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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find the distance along an arc on the surface of earth that subtends a …
\(20.73\) miles
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given: \\( \\angle abc \\) and \\( \\angle fgh \\) are right angles; \\…
AAS congruence theorem.
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convert the angle \\frac{7\\pi}{6} from radians to degrees. \\frac{7\\p…
\(210\)
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find ( mangle c ). write your answer as an integer or as a decimal roun…
\(41.8\)
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what are the coordinates of point t? write your answer as an integer or…
\((3.5,2.5)\)
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solve for x. round your answer to the nearest tenth if necessary. answe…
\(13.7\)
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the figure shows three intersecting lines. lines g and h are perpendicu…
\(90\)
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complete the square and write the given equation in standard form. then…
The center of the circle is \((-3,2)\) and the radius \(r = 5\)
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solve for x. round to the nearest tenth, if necessary.
$0.9$
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solve the inequality and graph the solution. \\( \\frac { n } { 4 } \\l…
The solution of the inequality is \(n\leq - 4\). On the number - line, we plot a closed circle at \(-4\) (because the inequality includes equality, i.e., \(n = - 4\) is part of th…
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standard 13 homework score: 8/27 answered: 7/22 question 8 for each of …
\(116^{\circ}\), \(73^{\circ}\), \(130^{\circ}\), \(134^{\circ}\)
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select the correct answer from each drop - down menu. the condition pro…
1. \(BC = FG\) (assuming from the figure's markings for the SAS condition) 2. SSA 3. is not necessarily not equal to
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select the correct answer from each drop - down menu. a ray of light is…
\((-2,-8)\)
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graph the compound inequality. $x \\leq - 599$ or $x \\geq - 596$ plot …
On the number - line, there is a closed circle at \(-599\) with a ray extending to the left (for \(x\leq - 599\)) and a closed circle at \(-596\) with a ray extending to the right…
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select the correct answer from each drop - down menu. a quadrilateral h…
parallelogram with nonperpendicular and noncongruent adjacent sides
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complete the proof that \\( \\triangle vwx \\cong \\triangle vyx \\).
1. Given 2. Given 3. Reflexive property of congruence 4. SSS (Side - Side - Side) congruence criterion
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classify \\( \\triangle a b c \\) by its sides. then determine whether …
The triangle can be classified by its sides as isosceles. This triangle is a right triangle.
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classify the triangle by its sides and by measuring its angles. the tri…
By angles: obtuse; By sides: scalene
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solve for y. (just put the number, not y = !!!!!) your answer
\(1\)
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t is the midpoint of \\( \\overline{rs} \\) and \\( \\overline{qr} \\co…
1. Given 2. Given 3. Definition of midpoint 4. Reflexive property of congruence 5. SSS (Side - Side - Side) 6. CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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gj bisects ∠hgi. complete the proof that ij ≅ hj. 1 gj bisects ∠hgi 2 g…
1. Given 2. Given 3. Definition of angle - bisector 4. Reflexive property of congruence 5. SAS (Side - Angle - Side) 6. CPCTC (Corresponding Parts of Congruent Triangles are Congr…
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complete the proof that ( overline{jk} cong overline{ik} ). 1 ( angle j…
1. Given 2. Given 3. Reflexive property of congruence 4. AAS (Angle - Angle - Side) 5. CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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complete the proof that \\( \\overline { t u } \\cong \\overline { t v …
1. Given 2. Given (since \(UW\perp TW\) is part of the figure's given information) 3. Definition of perpendicular (as \(UW\perp TW\) implies \(\angle TWV = \angle TWU = 90^{\circ}…
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$$ \\overleftrightarrow { t w } $$ bisects $$ \\angle u t v $$. complet…
1. Given 2. Given 3. Definition of angle bisector 4. Reflexive property of congruence 5. SAS (Side - Angle - Side) 6. CPCTC (Corresponding Parts of Congruent Triangles are Congrue…
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$\\overline{hi}\\perp\\overline{gj}$ and $\\angle igj\\cong\\angle hgj$…
1. Given (for \(\overline{HI}\perp\overline{GJ}\)) 2. Given (for \(\angle IGJ\cong\angle HGJ\)) 3. Definition of perpendicular (for \(\angle GJH\cong\angle GJI\)) 4. Reflexive pro…
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complete the proof that ( overline{wy} cong overline{wx} ).
1. Given 2. Given 3. Reflexive property of congruence 4. AAS (Angle - Angle - Side) 5. CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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ru bisects ∠srt and rt ≅ rs. complete the proof that ∠rut ≅ ∠rus. 1 ru …
1. Given 2. Given 3. Definition of angle bisector 4. Reflexive property of congruence 5. SAS (Side - Angle - Side) 6. CPCTC (Corresponding Parts of Congruent Triangles are Congrue…
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complete the proof that ( overline{gi} cong overline{gh} ).
5. \(\triangle GJH\cong\triangle GJI\) (Reason: AAS Congruence Criterion); \(\overline{GI}\cong\overline{GH}\) (Reason: Corresponding parts of congruent triangles are congruent)
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v is the midpoint of \\( \\overline { t u } \\). complete the proof tha…
1. Given 2. Given 3. Definition of midpoint 4. Reflexive property of congruence 5. SSS Congruence Theorem 6. CPCTC
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sv bisects ∠tsu and su ≅ st. complete the proof that tv ≅ uv. 1sv bisec…
1. Given 2. Given 3. Definition of angle - bisector 4. Reflexive property of congruence 5. SAS (Side - Angle - Side) 6. CPCTC (Corresponding Parts of Congruent Triangles are Congr…
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s is the midpoint of \\( \\overline{qr} \\) and \\( \\overline{pr} \\co…
1. Given 2. Given 3. Definition of mid - point 4. Reflexive property of congruence 5. SSS (Side - Side - Side) 6. CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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w is the midpoint of \\( \\overline{uv} \\). complete the proof that \\…
1. Given 2. Given 3. Definition of perpendicular lines (all right angles are congruent) 4. Definition of mid - point 5. Reflexive property of congruence 6. SAS (Side - Angle - Sid…
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complete the proof that ( overline{su} cong overline{tu} ).
1. Given 2. Given 3. Definition of perpendicular lines (all right angles are congruent) 4. Reflexive property of congruence 5. ASA (Angle - Side - Angle) 6. CPCTC (Corresponding P…
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gj bisects ∠hgi and (overline{gi}congoverline{gh}). complete the proof …
1. Reason: Given 2. Reason: Given 3. Reason: Definition of angle - bisector 4. Reason: Reflexive property of congruence 5. Reason: SAS congruence criterion 6. Reason: CPCTC
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s is the midpoint of \\( \\overline { q r } \\) and \\( \\overline { p …
1. Given 2. Given 3. Definition of perpendicular lines (all right angles are congruent) 4. Definition of mid - point 5. Reflexive property of congruence 6. SAS (Side - Angle - Sid…
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$\\overline{hi}\\perp\\overline{gj}$ and $\\angle i\\cong\\angle h$. co…
1. Given (the problem statement says \( \overline{HI}\perp\overline{GJ}\)) 2. Given (the problem statement says \( \angle I\cong\angle H\)) 3. Definition of perpendicular lines (s…
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tw bisects ∠utv and tv ≅ tu. complete the proof that ∠twu ≅ ∠twv. 1 tw …
5. \(SAS\) (Side - Angle - Side) 6. Corresponding parts of congruent triangles are congruent (CPCTC)
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i is the midpoint of \\( \\overline{gh} \\) and \\( \\overline{fi} \\pe…
Definition of midpoint.
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$\\angle geh \\cong \\angle feh$ and $\\angle f \\cong \\angle g$. comp…
AAS (Angle - Angle - Side) Congruence Theorem.
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$\\angle h\\cong\\angle i$ and $\\overline{hi}\\perp\\overline{gj}$. co…
5. AAS (Angle - Angle - Side) Congruence Criterion; 6. CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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$\\overline{hi} \\perp \\overline{gj}$ and $\\angle igj \\cong \\angle …
For statement 5, the reason is "Angle - Side - Angle (ASA) Congruence Criterion". For statement 6, the reason is "Corresponding Parts of Congruent Triangles are Congruent (CPCTC)".
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are \\( \\triangle def \\) and \\( \\triangle vwx \\) congruent?
No, \(\triangle DEF\) and \(\triangle VWX\) are not congruent.
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are \\( \\triangle qrs \\) and \\( \\triangle ghi \\) congruent?
No, $\triangle QRS$ and $\triangle GHI$ are not congruent.
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are △bcd and △ghi congruent?
\(\triangle BCD\) and \(\triangle GHI\) are not congruent.
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are \\( \\triangle efg \\) and \\( \\triangle bcd \\) congruent?
\(\triangle EFG\) and \(\triangle BCD\) are congruent.
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are △def and △abc congruent?
Yes, \(\triangle DEF\) and \(\triangle ABC\) are congruent.
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are △stu and △hij congruent?
\(\triangle STU\) and \(\triangle HIJ\) are not congruent.
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are △uvw and △fgh congruent?
\(\triangle UVW\) and \(\triangle FGH\) are not congruent.
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are \\( \\triangle stu \\) and \\( \\triangle vwx \\) congruent?
No, $\triangle STU$ and $\triangle VWX$ are not congruent.
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are \\( \\triangle xyz \\) and \\( \\triangle fgh \\) congruent?
No, $\triangle XYZ$ and $\triangle FGH$ are not congruent.
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are \\( \\triangle t u v \\) and \\( \\triangle q r s \\) congruent?
\(\triangle TUV\) and \(\triangle QRS\) are not congruent.
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are \\( \triangle xyz \\) and \\( \triangle def \\) congruent?
Yes, $\triangle XYZ$ and $\triangle DEF$ are congruent.
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are \\( \\triangle ghi \\) and \\( \\triangle abc \\) congruent?
No, \(\triangle GHI\) and \(\triangle ABC\) are not congruent.
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are \\( \\triangle stu \\) and \\( \\triangle def \\) congruent?
No, \(\triangle STU\) and \(\triangle DEF\) are not congruent.
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are \\( \\triangle rst \\) and \\( \\triangle cde \\) congruent?
No, \(\triangle RST\) and \(\triangle CDE\) are not congruent.
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are \\( \\triangle hij \\) and \\( \\triangle bcd \\) congruent?
No, $\triangle HIJ$ and $\triangle BCD$ are not congruent.
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are \\( \\triangle efg \\) and \\( \\triangle pqr \\) congruent?
No, $\triangle EFG$ and $\triangle PQR$ are not congruent.
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are \\( \\triangle uvw \\) and \\( \\triangle qrs \\) congruent?
No, $\triangle UVW$ and $\triangle QRS$ are not congruent.
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are △xyz and △hij congruent?
No, \(\triangle XYZ\) and \(\triangle HIJ\) are not congruent.
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are △ghi and △vwx congruent?
No, $\triangle GHI$ and $\triangle VWX$ are not congruent.
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are \\( \\triangle pqr \\) and \\( \\triangle ghi \\) congruent?
\(\triangle PQR\) and \(\triangle GHI\) are not congruent.
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are \\( \\triangle hij \\) and \\( \\triangle xyz \\) congruent?
\(\triangle HIJ\) and \(\triangle XYZ\) are not congruent.
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are \\( \\triangle i j k \\) and \\( \\triangle r s t \\) congruent?
No, \(\triangle IJK\) and \(\triangle RST\) are not congruent.
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are \\( \\triangle ghi \\) and \\( \\triangle xyz \\) congruent?
No, \(\triangle GHI\) and \(\triangle XYZ\) are not congruent.
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are △uvw and △ghi congruent?
No, $\triangle UVW$ and $\triangle GHI$ are not congruent.
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are △ghi and △def congruent?
No, $\triangle GHI$ and $\triangle DEF$ are not congruent.
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are \\( \\triangle cde \\) and \\( \\triangle wxy \\) congruent?
No, \(\triangle CDE\) and \(\triangle WXY\) are not congruent.
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are △ghi and △def congruent?
Yes, \(\triangle GHI\) and \(\triangle DEF\) are congruent.
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are \\( \\triangle fgh \\) and \\( \\triangle rst \\) congruent?
No, $\triangle FGH$ and $\triangle RST$ are not congruent.
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are △efg and △ijk congruent?
Yes, $\triangle EFG$ and $\triangle IJK$ are congruent.
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are \\( \\triangle qrs \\) and \\( \\triangle abc \\) congruent?
No, \(\triangle QRS\) and \(\triangle ABC\) are not congruent.
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are \\( \\triangle tuv \\) and \\( \\triangle fgh \\) congruent?
\(\triangle TUV\) and \(\triangle FGH\) are not congruent.