幾何
三角形、円、座標幾何、証明問題。
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find the distance between the points.
First graph: \(3\sqrt{10}\) Second graph: \(\sqrt{73}\) Third graph: \(\sqrt{58}\) Fourth graph: \(\sqrt{29}\)
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in the figure below, ( mangle2 = 133^{circ} ). find ( mangle1 ), ( mang…
\(m\angle1 = 47^{\circ}\), \(m\angle3 = 47^{\circ}\), \(m\angle4 = 133^{\circ}\)
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in the figure below, ( mangle3 = 32^{circ} ). find ( mangle1 ), ( mangl…
\(m\angle1 = 32^{\circ}\), \(m\angle2 = 148^{\circ}\), \(m\angle4 = 148^{\circ}\)
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in the figure below, ( m angle 1 = 87 ^ { circ } ) and ( m angle 2 = 49…
\(136\)
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in the figure below, ( mangle pqs = 74^{circ} ) and ( mangle 2 = 48^{ci…
\(26\)
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in the figure below, ( mangle1 = 29^{circ} ) and ( mangle2 = 22^{circ} …
\(51\)
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k is the midpoint of \\( \\overline { g i } \\) and \\( \\overline { h …
5. Definition of mid - point; 6. SSS (Side - Side - Side) congruence criterion.
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chapter 5 quiz 2024 regular started: nov 17 at 2:12pm quiz instructions…
SSA is not a test to prove triangle congruence.
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t is the midpoint of \\( \\overline { s u } \\). complete the proof tha…
4. Reason: Definition of midpoint 5. Reason: SSS (Side - Side - Side) congruence criterion
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t is the midpoint of \\( \\overline{qs} \\) and \\( \\overline{pr} \\).…
1. Given 2. Given 3. Definition of midpoint 4. Definition of midpoint 5. Vertical angles are congruent 6. Side - Angle - Side (SAS) Congruence Theorem
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answer the question correctly to continue: what does it mean for two fi…
They have the same shape, but not necessarily the same size.
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x is the midpoint of vw and vw ⊥ ux. complete the proof that △uvx ≅ △uw…
1. Given 2. Given 3. Definition of perpendicular lines (all right angles are congruent) 4. Definition of midpoint 5. Reflexive property of congruence 6. SAS (Side - Angle - Side) …
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uv || st. complete the proof that △suv ≅ △ust. statement 1 uv || st 2 u…
The reason for \( \angle SUV\cong\angle TSU\) is "Alternate - interior angles theorem (because \( \overline{UV}\parallel\overline{ST}\))"; the reason for \( \overline{SU}\cong\ove…
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complete the proof that ( \triangle twx cong \triangle uvx ).
\(\triangle TWX\cong\triangle UVX\) by the SAS (Side - Angle - Side) congruence criterion.
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what is the missing side length y in triangle xyz? 12 13 25 24 question…
\(3\)
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which two triangles are congruent by the sas theorem? complete the cong…
\( \triangle FGE\cong\triangle TRS \)
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question 5 what is the missing side length y in triangle xyz? 12 13 25 …
\(3\)
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emily is comparing two similar triangles. triangle rst has sides 5 c an…
\(2\)
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△efh is equilateral. complete the proof that △fgh≅△eih. 1 △efh is equil…
1. Given; 2. Given; 3. Given; 4. Definition of equilateral triangle; 5. SAS (Side - Angle - Side) congruence criterion.
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find the value of the variable and the measure of each labeled angle. x…
\(x = 4.2\), el valor del ángulo es \(11.2\)
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q is the midpoint of \\( \\overline{pr} \\). complete the proof that \\…
4. Reason: Definition of midpoint 5. Reason: SSS (Side - Side - Side) congruence criterion
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triangle p has side lengths of 9, 12, and 15. triangle q is a dilation …
\(\frac{1}{3}\)
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1 i is the midpoint of \\( \\overline { e g } \\) given 2 i is the midp…
Definition of midpoint
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f is the midpoint of \\( \\overline{eg} \\). complete the proof that \\…
SSS (Side - Side - Side) congruence criterion.
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find the measure of the indicated angles 4x° = □° (type a whole number)
\(64\)
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a 15 - ft ladder leans against a wall so that the top reaches 7 ft abov…
27.9 degrees 62.1 degrees 13.3 feet
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question 1 which transformation changes the size of a polygon but prese…
1. D. Dilation 2. Their angles are congruent and sides are proportional.
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u is the midpoint of \\( \\overline{qs} \\) and \\( \\overline{rt} \\).…
By the Side - Angle - Side (SAS) Congruence Theorem.
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find the first mistake in determining the ladder angle when the ladder …
Line 1
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y is the midpoint of \\( \\overline { wx } \\). complete the proof that…
By the SAS (Side - Angle - Side) congruence criterion.
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problem 4. consider a right triangle with side lengths 2, 4 and an unkn…
Hypotenuse length \(c = 2\sqrt{5}\); \(\sin\alpha=\frac{2\sqrt{5}}{5}\), \(\cos\alpha=\frac{\sqrt{5}}{5}\), \(\tan\alpha = 2\), \(\csc\alpha=\frac{\sqrt{5}}{2}\), \(\sec\alpha=\sq…
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find the volume of this cone. use 3 for π. v = \\frac{πr^{2}h}{3} v ≈ ?…
\(128\)
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find the volume of this cone. use 3 for π. v = πr²h/3 v ≈ (3)(2.25)(8)/…
18
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how far is the base of the ladder from the bottom of the wall? 13.3 fee…
\(17.7\)
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triangle abc ~ triangle xyz triangle abc: sides 9, 15, 18 triangle xyz:…
Value of \(n = 9\), Value of \(p=9\), Value of \(k = 24\), Scale factor \(\triangle ABC:\triangle XYZ=\frac{4}{3}\), Scale factor Pentagon \(PQRST:UWXY=\frac{3}{4}\)
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a 15 - ft ladder leans against a wall so that the top reaches 7 ft abov…
The angle with the ground is approximately $27.9$ degrees. The angle with the wall is approximately $62.1$ degrees. The distance from the base of the ladder to the wall is approxi…
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problem 3. consider a right triangle with side lengths with 5, 12, 13, …
\(\sin\theta=\frac{5}{13}\), \(\cos\theta=\frac{12}{13}\), \(\tan\theta=\frac{5}{12}\), \(\csc\theta=\frac{13}{5}\), \(\sec\theta=\frac{13}{12}\), \(\cot\theta=\frac{12}{5}\)
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complete the proof given: \\( \\overline { b c } \\cong \\overline { d …
3. Statement: \( \overline{BD}\cong\overline{BD}\); Reason: Reflexive Property of Congruence
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ru ≅ sv and ∠s ≅ ∠u. complete the proof that △qsv ≅ △qur. statement 1 r…
1. Given 2. Given 3. Reflexive property of congruence 4. AAS (Angle - Angle - Side) congruence criterion
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complete the proof. given: \\( \\overline { f g } \\| \\overline { k l …
4. \(\angle GFK\cong\angle LKF\); 4. Alternate - interior angles theorem (since \(FG\parallel KL\) and \(FK\) is a transversal)
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complete the proof. given: \\( \\overline { f g } \\parallel \\overline…
Reflexive property of \(\cong\)
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2. solve for the missing side lengths of the right triangles. a. b. c. …
a. \(x\approx6.0\) b. \(x\approx5.4\) c. \(x\approx61.5\) d. \(x\approx32.5\)
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complete the proof. given: \\( \\overline { wz } \\cong \\overline { zs…
The reason for \( \overline{ZD}\cong\overline{ZD} \) is "Reflexive property of \( \cong \)"
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complete the proof. given: \\( \\overline { w z } \\cong \\overline { z…
\(\overline{ZD}\)
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w is the midpoint of su and ∠u ≅ ∠s. complete the proof that △svw ≅ △ut…
3. Definition of midpoint; 5. ASA (Angle - Side - Angle)
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complete the proof. given: \\( \\overline { w z } \\cong \\overline { z…
The first blank in the statement \( \overline{WZ}\cong\) should be filled with \( \overline{SD}\). The proof of \( \triangle WZD\cong\triangle SDZ\) is completed by using the SSS …
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tu || vw and ∠w ≅ ∠u. complete the proof that △tuv ≅ △vwt. statement 1 …
3. Alternate Interior Angles Theorem; 5. AAS (Angle - Angle - Side) Congruence Criterion
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name the postulate that proves each pair of triangles is congruent. lis…
\(\triangle ABC\cong\triangle DFE\) by the \(SAS\) Postulate.
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\\overrightarrow{rt} bisects \\angle sru and \\angle stu. complete the …
By the ASA (Angle - Side - Angle) congruence criterion.
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statement 1 (overline{gh}paralleloverline{ef}) 2 (overline{fg}perpoverl…
AAS
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8. x 37 48
$x = 60$
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felix built a ramp based on the scale drawing below. if the height of f…
72 in.
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if two similar triangles have corresponding sides of lengths 7, 24, 25 …
\(48\)
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show what you know! what is the scale factor between two similar triang…
\(1:3\)
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6. 58° 22 x
$x\approx18.7$
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the diagram shows a triangle. 30° 6b 4b what is the value of b? b = ° s…
\(15\)
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the diagram shows a triangle. what is the value of w? w =
\(w = 53\)
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5. 16° 37 x
# Explicación: ## Paso 1: Identificar la relación trigonométrica En un triángulo rectángulo, $\sin\theta=\frac{\text{opuesto}}{\text{hipotenusa}}$. Aquí, $\theta = 16^{\circ}$, el…
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the diagram shows a triangle. what is the value of t? t = square^{circ}…
\(t = 94\)
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use the figure below to answer questions #4 - 7. anthony claims that \\…
$6.40$
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the diagram shows a triangle. what is the value of b? b = °
\(44\)
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the diagram shows a triangle. what is the value of c? c = □° submit
\(c = 12\)
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which camera angle makes the character appear powerful and dominant? hi…
Low angle
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the diagram shows a triangle. what is the value of p? p = □°
\(7\)
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use the figure below to answer questions #4 - 7. anthony claims that △k…
\(\sqrt{13}\)
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4. 29° 12 x
$x\approx24.75$
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the diagram shows a triangle. what is the value of s? s = □°
\(s = 5\)
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if △nmk ≅ △trp, use the figure below to answer questions #1 - 3. solve …
\(x = 7\)
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the diagram shows a triangle. what is the value of c? c = □°
\(32\)
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if △nmk≅△trp, use the figure below to answer questions #1 - 3. what is …
\(20\)
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the diagram shows a triangle. what is the value of x?
\(x = 4.8\)
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show what you know triangle rst and triangle wsx both have angle measur…
The triangles are similar because two pairs of corresponding angles are congruent.
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3. x 29 67°
\(x\approx26.7\)
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△nmk ≅ △trp, use the figure below to answer questions #1 - 3. what is t…
\(60\)
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the diagram shows a triangle. what is the value of u? u = □°
\(82\)
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the diagram shows a triangle. what is the value of c? c = □□°
\(c = 59^{\circ}\)
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if △nmk ≅ △trp, use the figure below to answer questions #1 - 3. what i…
The perimeter of \(\triangle TRP\) is \(60\). The side - length of \(TR\) is \(20\).
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show what you know how can you determine if two triangles are similar? …
By checking if at least two pairs of corresponding angles are congruent.
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which set of directions matches the path depicted on the graph? 1 block…
1 block N, 2 blocks E, 1 block N, 1 block E, 2 blocks S, 3 blocks W
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order ab, bc, and cd from least to greatest.
\(CD < AB<BC\)
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the diagram shows a triangle. what is the value of b? b = □°
\(103\)
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the diagram shows a triangle. what is the value of b? b = square^{circ}
\(b = 57^{\circ}\)
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4.6 understand: similar figures show what you know! when a triangle is …
The angles of the triangle
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4.6 understand: similar figures when a triangle is dilated and transfor…
The angles of the triangle.
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the diagram shows a triangle. what is the value of y? y = \boxed{}°
\(y = 59^{\circ}\)
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4.6 understand: similar figures show what you know! which of the follow…
They have the same shape but different sizes.
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find the measure of angle a. use alternate interior angles. a = ?°
$34$
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unit 3 quiz (version a) 1. with the reference angle identified, label t…
1. Label the side opposite \(\theta\) as "Opposite", the non - hypotenuse side next to \(\theta\) as "Adjacent", and the longest side as "Hypotenuse". 2. \(\sin(\theta)=\frac{\tex…
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analyze the diagram below and complete the instructions that follow. if…
C. \(m\angle L = 98^{\circ},m\angle M = 82^{\circ},m\angle N = 98^{\circ}\)
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analyze the diagram below and answer the question that follows. in the …
C. \(\angle4\)
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given that ( p parallel q ) and ( r parallel s ), name all angles suppl…
A. \(\angle2,\angle5,\angle6,\angle9,\angle10,\angle13,\angle14,\angle19\)
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a transversal intersecting two lines creates eight different angles: __…
B. 4...2...2
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if ( l parallel m ), find the value of ( x ) and the value of ( y ). a.…
A. \(x = 75,y = 60\)
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a student says that dilation with a scale factor of $\\frac{1}{2}$ will…
No, I do not agree. A dilation with a scale factor of $\frac{1}{2}$ changes the size of the original figure. Congruent figures must have the same size. Since the size is altered (…
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the fence uses vertical posts l, m, and o to hold parallel rails n and …
C. \(m\)
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name two pairs of alternate exterior angles. a. ∠4 and ∠7 ∠10 and ∠13 b…
B. \(\angle4\) and \(\angle15\), \(\angle3\) and \(\angle16\)
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the diagram above contains contradictory information. explain the contr…
A. Option A is correct. Since \(\angle RTU\) and \(\angle OUT\) are consecutive interior angles (supplementary: \(-x - 30+5x - 30 = 180\), \(x = 60\), \(m\angle RTU=-90^{\circ}\),…
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based on the image, the scale factor used to map p to p is:
\(\frac{2}{3}\)
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which of the following always changes when a figure is dilated (scale ≠…
For the first question: Size. For the second question: Each side is one - third as long.
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when (overline{ad} perp overline{de}) and (overline{ad} perp overline{a…
neither, they are skew lines