Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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una transversal corta dos rectas paralelas tal y como se muestra a cont…
# Explicación: ## Paso1: Ángulos opuestos por el vértice $m\angle 1 = m\angle 3 = 102^\circ$ ## Paso2: Ángulos alternos internos $m\angle 3 = m\angle 6 = 102^\circ$ ## Paso3: Ángu…
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hallar el volumen de un cono cuya altura es de 9 cm y cuya base tiene u…
$235.5 \text{ cm}^3$
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28. the graph shows point w and line p. which equation best represents …
A. $y - 5 = -\frac{4}{5}(x - 1)$
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triangle abc will be dilated according to the rule $d_{f,0.25}(x,y)$, w…
(1, 0)
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line segment jl is an altitude in triangle jkm. which statement explain…
JKM is not a right triangle because $KL + LM eq 15.3$
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which best explains whether or not all isosceles triangles are similar?…
C. All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
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la figura a continuación tiene un punto señalado en grande. primero, ro…
Punto en la figura original: $(-6, -6)$ Punto en la figura final: $(-6, 6)$
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points q and r are midpoints of the sides of triangle abc. what is aq? …
A. 20 units
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triangle mrn is created when an equilateral triangle is folded in half.…
4 units
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4-6 congruence in overlapping triangles use the diagram shown for items…
1. C. $\angle BCG \cong \angle DCF$ 2. Yes; the triangles are congruent by HL (or SAS). 3. B. Since $\overline{GF}$ is a segment shared by both triangles, the Reflexive Property o…
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el siguiente círculo tiene centro s. suponer que ( moverarc{qr} = 92^ci…
# Explicación: ## Paso 1: Ángulo central y arco El ángulo central que subtiende un arco es igual a la medida del arco. $m\angle QSR = m\overset{\frown}{QR} = 92^\circ$ ## Paso 2: …
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read the proof. given: ( mangle h = 30^circ ), ( mangle j = 50^circ ), …
Triangle Angle Sum Theorem (the sum of the interior angles of a triangle is 180°)
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triangle qrs is to be dilated using the rule $d_{p,\\frac{3}{4}}$. what…
6 units
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what is the scale factor of the dilation of triangle def? options: \\(\…
$\frac{3}{10}$ (Option A)
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what is the location of point g, which partitions the directed line seg…
3
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line rs intersects triangle bcd at two points and is parallel to segmen…
- $\triangle BCD$ is similar to $\triangle BSR$. - $\frac{BR}{RD} = \frac{BS}{SC}$ - $(BR)(SC) = (RD)(BS)$
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which transformations could have taken place to map $\\triangle abc$ to…
a reflection and a translation
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sarah is recreating a triangular section in her yard. triangle a is the…
$\frac{3}{5}$
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law of sines 9) 10) law of cosines 11) 12)
9) $x\approx6.15$ 10) $x\approx29.0^\circ$ 11) $x\approx29.42$ 12) $x\approx37.0^\circ$
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the house shown below was drawn using a scale of 2 in = 5 ft. what is t…
A. $21\frac{1}{4}$ ft
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question in $\\triangle klm$, $l = 550$ cm, $m = 870$ cm and $\\angle k…
The length of \( k \) is approximately \(\boxed{1100}\) centimeters.
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in δopq, o = 180 inches, p = 910 inches and q=740 inches. find the meas…
\(\boxed{5^{\circ}}\) (or maybe \(4^{\circ}\) depending on the calculator precision, but with the given calculation, it's approximately \(5^{\circ}\))
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triangle pqr was dilated according to the rule $d_{o,2}(x,y) \\to (2x,2…
- ∠R corresponds to ∠P'QQ'. - Segment QQ' is parallel to segment PP'.
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pre - image and image are: corresponding angles are: corresponding side…
s: - Pre - Image and Image: Congruent - Corresponding angles: Equal (congruent) - Corresponding sides: Equal (congruent) (for rigid transformations) (Note: If the transformation i…
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description/rule each point of a figure is moved the same _____________…
First blank: distance Second blank: direction
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which of the following equations could be used to find the value of x? …
# Explanation: ## Step1: Recall the Law of Cosines The Law of Cosines for a triangle with sides \(a\), \(b\), \(c\) and the angle \(x\) opposite to side \(c\) is \(c^{2}=a^{2}+b^{…
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if the scale factor is greater than one, the new (scaled) image will be…
B. an enlargement
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t is a translation along \\(\\overrightarrow{rs}\\) of distance \\(rs\\…
B. Translations preserve distance. C. Translations preserve angle measure. D. If $P$ lies on $\overleftrightarrow{RS}$, then $P'$ also lies on $\overleftrightarrow{RS}$. E. If $P$…
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each point of a figure is moved the same ________________________ and i…
- Fill - in - the - blank: distance, direction - Point transformations: \(M(-5,-3)\to(-1,-1)\), \(A(-2,-3)\to(2,-1)\), \(T(-2,-5)\to(2,-3)\), \(H(-5,-5)\to(-1,-3)\)
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select all the points which lie on the parabola with focus at (0, 2) an…
A. $(-4, 2)$, B. $(0, 0)$, E. $(8, 8)$
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find the slope of the line that passes through (-4, 98) and (89, 5). si…
\(-1\)
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Question was provided via image upload.
D. (3,3), E. (7,1)
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the area of a rectangle is expressed as (12m + 18) square feet. if the …
(2m + 3) feet
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the altitude, \\(\\overline{bd}\\), of \\(\\triangle abc\\) is shown in…
| Statement | Reason | |-----------|--------| | $\angle C \cong \boldsymbol{\angle BCD}$ | Reflexive property | | $m\angle ABC = m\boldsymbol{\angle BDC} = 90^\circ$ | Definition …
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given that abcd is a parallelogram, prove $\\angle b \\cong \\angle d$.…
| Statements | Reasons | |--|--| | $ABCD$ is a parallelogram | Given | | $\overline{AB} \parallel \overline{DC}$ and $\overline{BC} \parallel \overline{AD}$ | Definition of a para…
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Question was provided via image upload.
| Statement | Reason | |-----------|--------| | $\text{m}\angle ACB = \text{m}\boldsymbol{\angle ADC} = \text{m}\boldsymbol{\angle CDB} = 90^\circ$ | Definition of right triangles…
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triangle abc is shown, with angle bisector \\(\\overline{ad}\\). move o…
| Statement | Reason | |-----------|--------| | $\triangle ABC$ is isosceles; $\overline{AD}$ is an angle bisector | Given | | $\overline{BA} \cong \overline{CA}$ | Definition of …
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which of the following equations could be used to find the value of x? …
\(\cos x=\frac{64^{2}+31^{2}-59^{2}}{2(64)(31)}\) (the second option among the given choices)
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1.d: analogies directions: circle the analogy that best matches the bol…
1. b) learn : skill 2. d) clay : malleable 3. b) hopeless : try 4. c) accomplish : achieve 5. b) oven : bake 6. d) circumference : curved 7. b) rare : abundant 8. c) river : lake
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which of the following equations could be used to find the value of x? …
$\boldsymbol{\frac{\sin(x)}{62}=\frac{\sin(46)}{45}}$
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find the value of x.
$32$
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Question was provided via image upload.
| Statement | Reason | |-----------|--------| | Quadrilaterals $ABCD$ and $BFDE$ are parallelograms. | Given | | $\angle BAE \cong \boldsymbol{\angle DCF}$ | Opposite angles of pa…
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find the value of x. (there is a triangle with two angles 50° and 75°, …
$35$
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find the measure of the missing side length in the right triangle below…
1
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** this is a 2 - page document! ** directions: give each trig ratio as …
### Problem 1: Trig Ratios for Triangle \( PRQ \) (Right - angled at \( P \)) First, we need to find the length of \( PQ \) using the Pythagorean theorem. In a right - triangle \(…
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unit 8: right triangles & trigonometry homework 4: trigonometry ratios …
\(x\approx14.3\) (for problem 2) If you want solutions for other problems, please specify which one (e.g., problem 3, 4, etc.), and we can follow a similar process using sine, cos…
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how can similarity be used to prove the pythagorean theorem? move the r…
The completed proof matches reasons to statements as follows: 1. $\angle ACB \cong \angle ADC \cong \angle CDB$ → Right angles are congruent. 2. $\triangle ABC \sim \triangle ACD$…
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which two sentences best describe how paragraph 6 in develops the passa…
B. chronological order --- # Second Question (Paragraph 6 Development):
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in the figure, \\(\\overline{cd}\\) is the altitude of right triangle \…
| Statement | Reason | |-----------|--------| | $\angle A \cong \angle A$ and $\angle B \cong \angle B$ | Reflexive Property | | $\angle ACB \cong \angle ADC \cong \angle CDB$ | A…
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in the figure shown, $\\angle prs$ and $\\angle spq$ are right angles, …
B. $\triangle SPQ\sim \triangle QRP$ by AA E. $\triangle PQR\sim \triangle SPQ$ by AA
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a right - rectangular pyramid is shown. identify the two - dimensional …
| Slice Description | Parallel to the base | Diagonal to the base | Perpendicular to the base | |----------------------------------|----------------------|----------------------|-…
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given: bcde is a parallelogram, ∠bae ≅ ∠cde, overline{ae} ≅ overline{cd…
The completed proof table is: | Statements | Reasons | |------------|---------| | $BCDE$ is a parallelogram, $\angle BAE \cong \angle CDE$, $\overline{AE} \cong \overline{CD}$ | G…
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move options into the table to prove that diagonals \\(\\overline{pr}\\…
Filled proof table: | Statement | Reason | |-----------|--------| | $PQRS$ is a rectangle. | Given | | $\angle PSR \cong \angle RQP$ | Interior angles of rectangles are congruent.…
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which figures have a triangle cross - section? choose all that apply. □…
A. Square Pyramid, B. Triangular Prism, C. Cube, D. Cone
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the shapes shown are different cross - sections of the same three - dim…
D. <The triangular prism shape>
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1.b: yes or no? directions: respond to the following statements by circ…
1. Yes (context clues: unfamiliar, confusing) 2. No (context clues: only, sense of sight) 3. Yes (context clues: persistent, not easily discouraged) 4. No (context clues: umbrella…
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14. is the point (-3, 10) a solution to the equation y + 4 = -2x (yes o…
14. NO 15. $\frac{3}{4}$ 16. $3$ 17. $-\frac{1}{3}$ 18. $-\frac{2}{3}$ 19. $4$ 20. $y=3x-3$
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1.b: yes or no? directions: respond to the following statements by circ…
1. Yes 2. No 3. Yes 4. No 5. No 6. Yes 7. Yes 8. No 9. Yes 10. Yes
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the figure shows right triangle abc with altitude \\(\\overline{cd}\\),…
| Statement | Reason | |-----------|--------| | $\triangle ACD \sim \triangle CBD \sim \triangle ABC$ | Given | | $\frac{a}{c}=\boldsymbol{\frac{x}{a}}$, $\frac{b}{c}=\boldsymbol{…
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(a) complete the congruence statements below. $\\angle p\\cong$ (choose…
(a) $\angle P \cong \angle C$ $\angle Q \cong \angle A$ $\angle R \cong \angle B$ (b) $\frac{AC}{PQ}=\frac{7}{4}$ $\frac{CB}{QR}=\frac{7}{4}$ $\frac{AB}{PR}=\frac{7}{4}$ (c) $\tri…
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use the figure to answer the question. select all of the statements tha…
A. $JK = KL$, B. $JM = ML$, E. $m\angle MJL = m\angle JML$, F. $m\angle JMK = m\angle LMK$
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the figure shows quadrilateral pqrs. diagonals \\(\\overline{pr}\\) and…
A. $\triangle PQR \cong \triangle RSP$ C. $\angle SPQ \cong \angle QRS$ and $\angle RSP \cong \angle PQR$
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the circle is inside the square; therefore, it is circumscribed by the …
to write around
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the circle is inside the square; therefore, it is circumscribed by the …
to write around
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ml week 04 find & define sentences (ela.aor.7) the circle is inside the…
A. scrib
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Question was provided via image upload.
Filled-in proof blanks (in order): 1. $\boldsymbol{+}$ (first blank), $\boldsymbol{+}$ (second blank); Reason: $\boldsymbol{Addition}$ 2. $\boldsymbol{\sim}$; Reason: $\boldsymbol…
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triangle ace is shown, with b the midpoint of \\(\\overline{ac}\\) and …
| Statements | Reasons | |------------|---------| | $B$ is the midpoint of $\overline{AC}$; $D$ is the midpoint of $\overline{CE}$ | Given | | $\overline{AC} = 2\cdot\overline{BC}…
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a square tile has an area of 49 square inches. what is the side length …
7
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drag words into blanks to complete the definition of a circle. circle: …
Circle: a closed **plane** figure consisting of all **points** a given **distance** from a fixed point called the **center**.
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choose all the figures that have a rectangular cross - section.
- □ (second figure: Cube) - □ (third figure: Square pyramid) - □ (fourth figure: Cylinder)
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(a) the arrows below show that the coordinates on the left are mapped t…
(a) $D(-8, 8) \to D'(1, -3)$ $E(-4, 4) \to E'(5, -1)$ $F(-7, 5) \to F'(2, 0)$ (b) $\boldsymbol{(x, y) \to (x+9, y-5)}$
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jeff drew the figure shown. given: $angle a cong angle d$ choose all co…
$\boldsymbol{\angle E \cong \angle C}$, $\boldsymbol{\overline{EB} \cong \overline{CB}}$, $\boldsymbol{\overline{AB} \cong \overline{DB}}$
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which circle(s) contain the point (1,4)? select all that apply. a. the …
A. the circle centered at (4,0) with radius 5 B. the circle centered at (-2,8) with radius 5 C. the circle centered at (1,4) with radius 4 D. the circle centered at (1,0) with rad…
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brian is going to replace the tile on a triangular section of his floor…
19.2 square feet
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consider the following geometric proof. given: o is the midpoint of \\(…
Reason number 1 is valid because it **matches the given premise**, Reason number 2 is invalid because **visual appearance is not a proof**, Reason number 3 is **invalid (it is ver…
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two chords intersect in the interior of a circle. one chord is divided …
E. 24 units
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let m be a line in the plane. choose all the statements that should be …
A. For any point $P$ on line $m$, $T(P) = P$. E. For any point $P$ not on line $m$, $T(P)$ is a point $P'$ such that line $m$ is the perpendicular bisector of $\overline{PP'}$
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information to answer the question. given; \\(\\overline{cb}\\) is a di…
A. $15^\circ$
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document d the legend of the helmet the army was crossing a desert of s…
Alexander poured the water on the ground to show he shared the army’s hardship (he was also thirsty but gave up the water), which boosted the troops’ morale by making them feel th…
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in triangle abc, \\(\\frac{da}{bd} = \\frac{ec}{be}\\). move options to…
It is given that $\frac{DA}{BD} = \frac{EC}{BE}$. By the Addition Property of Equality, $\frac{BD}{BD}+\boldsymbol{\frac{DA}{BD}} = \frac{BE}{BE}+\boldsymbol{\frac{EC}{BE}}$. This…
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Question was provided via image upload.
1. $\boldsymbol{Translate}$ $\odot P$ a distance $PQ$ so that point $P$ maps to point $Q$. So the image of $\odot P$ is $\odot P'$ with center $\boldsymbol{Q}$. 2. $\boldsymbol{Di…
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a triangle has angle measurements of 56°, 56°, and 68°. what kind of tr…
B. isosceles but not equilateral
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what is the center of the circle with equation $x^{2}+y^{2}-10x + 6y-2 …
C. (5, -3)
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a triangle has angle measurements of 44°, 77°, and 59°. what kind of tr…
scalene
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polygon lmnpq is shown on the coordinate grid. what is the perimeter of…
E. $12 + 4\sqrt{2}$ units
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a triangle has angle measurements of 162°, 2°, and 16°. what kind of tr…
obtuse (The triangle is obtuse because it has an angle (\(162^\circ\)) greater than \(90^\circ\).)
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rectangle rstu undergoes a dilation centered at the origin by a scale f…
C. 8
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what kind of triangle is this? 9 14 14 equilateral isosceles but not eq…
B. isosceles but not equilateral
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what kind of triangle is this? acute right obtuse
right (specifically, the triangle is a right triangle because it contains a \(90^\circ\) angle)
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statement about reflected figures true false if two sides are parallel …
1. If two sides are parallel in the original figure, then those sides are parallel in the final figure.: True 2. The final angle measures are the same as the original angle measur…
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a triangle has angle measurements of 44°, 97°, and 39°. what kind of tr…
obtuse (The triangle is an obtuse triangle because it has one angle (\(97^\circ\)) greater than \(90^\circ\).)
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t is the midpoint of \\(\\overline{qs}\\) and \\(\\overline{pr}\\). com…
Statement 8: \( \overline{PQ} \parallel \overline{RS} \) Reason 8: Alternate Interior Angles Theorem (or Converse of Alternate Interior Angles Theorem)
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2. (triangle with side lengths 7, 5, 9 and a missing side marked with? …
$\frac{45}{7}$ or approximately $6.43$
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triangle pqr is an isosceles triangle with the coordinates p(2, 3), q(5…
B. 21 units²
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what kind of triangle is this? 88° 29° 63° acute right obtuse submit wo…
acute
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allel lines, create a proportion and solve 2. 4. x 6 x - 2 4
Problem 2: $\frac{45}{7}$ Problem 4: $6$
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what is the edge length of the cube? □ cm v = 27 cm³
3
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the graphs represent a rotation around a fixed point. pre - image image…
B. 90° clockwise rotation around the point (1,1)
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alex is building a ramp for his tree house. the wooden ramp will be sim…
C. 91 in.
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the formula for the volume of a cube is $v = x^3$, where $x$ is the edg…
27