Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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find ( mangle tqw ). ( mangle tqw = square^circ )
46
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question quadrilateral ijkl is similar to quadrilateral mnop. find the …
\(31.5\) (or \(31.52\) if we don't round, but following the "nearest tenth" instruction, it's \(31.5\))
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find m∠bfc. m∠bfc = \\(\\square^\\circ\\)
62
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triangle fgh is similar to triangle ijk. find the measure of side jk. r…
$\approx 33.1$
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20. what is the name of this note?
The note is a whole note (open - circle note) on the second line below the treble clef staff, and its name is "C" (or more precisely, a whole note C).
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question triangle cde is similar to triangle fgh. find the measure of s…
\(21.7\)
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question triangle efg is similar to triangle hij. find the measure of s…
The measure of side \(JH\) is \(9.1\).
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surface area if you dipped the shape into a can of paint and then took …
\( 405.0 \) cm²
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the distance between lincoln, ne, and boulder, co, is about 500 miles. …
\(300 < d < 700\) (assuming the problem is to find the range of possible distances using the triangle inequality theorem, the lower bound is 300 and upper bound is 700)
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9) $y = -\frac{1}{3}x + 3$
The graph of \(y =-\frac{1}{3}x + 3\) is a straight line with a y - intercept at \((0,3)\) and a slope of \(-\frac{1}{3}\), passing through points like \((0,3)\) and \((3,2)\) (or…
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as a land surveyor, you have been hired to find the area of a parcel of…
D. 10,400
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question find the volume of a right circular cone that has a height of …
\( 264.4 \)
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look at the figure below: what is the length, in units, of segment cd? …
\(4\)
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the parabola, y = x² + 2x - 3 plot five points on the parabola: the ver…
Los cinco puntos son: Vértice \((-1, -4)\), \((-3, 0)\), \((-2, -3)\), \((0, -3)\), \((1, 0)\)
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write an equation to find the missing side (x). show work. box the fina…
1) \(\boxed{26.7}\) 2) \(\boxed{3.2}\) 3) \(\boxed{12.0}\) 4) \(\boxed{18.7}\) 5) \(\boxed{17.8}\) 6) \(\boxed{9.2}\) 7) \(\boxed{17.1}\) 8) \(\boxed{14.6}\) 9) \(\boxed{15.9}\) 1…
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question find the volume of a right circular cone that has a height of …
\( 1107.9 \)
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find the missing side of the following right triangles using the pythag…
\( x \approx 13.96 \, \text{m} \) (or \( \sqrt{195} \, \text{m} \)) ### Problem 23:
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question find the volume of a right circular cone that has a height of …
\boxed{1107.5} (but the given box has 1109.8, possible error in problem numbers)
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dc = (ec·ac)/bc; dc = ec; dc = (ec·ac)/ab; dc = ab
The first option (the one with \( DC = \frac{EC \cdot AC}{BC} \))
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graph the image of rectangle rstu after a dilation with a scale factor …
The dilated rectangle has vertices at \( R'(-2, -1) \), \( S'(3, -1) \), \( T'(3, 2) \), and \( U'(-2, 2) \). To graph it, plot these points and connect them in order.
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there is a coordinate grid with a line plotted on it. the x - axis and …
The equation of the line is \(y=-x - 1\)
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use the given information to prove that ( r parallel t ). you are not a…
To prove \( r \parallel t \): ### Step 1: **Statement**: \( s \parallel t \) **Reason**: Given (Continue with subsequent steps as above, but the first step's statement is \( s \pa…
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camden is creating a model of a pyramid. the model created will need to…
The expression involves the ratio of corresponding sides of similar triangles \( \triangle CDE \) and \( \triangle CAB \), e.g., \( DC = AC\times\frac{DE}{AB} \) (or equivalent pr…
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question find the 14th term of the geometric sequence 5, -10, 20, ... a…
-40960
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question: 10 a rectangular garden will be surrounded with two different…
The graph labeled B (the lower graph) represents the solution where the parachute is slower, as its slope (representing speed) is smaller.
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find the 14th term of the geometric sequence 10, 20, 40, ...
\(81920\)
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using analytic geometry to prove that the sum of the squares of the len…
The sum of the squares of the lengths of the sides of a parallelogram is equal to the sum of the squares of the lengths of the diagonals (proven using analytic geometry as shown a…
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by decorating an artwork with regularly repeated elements such as shape…
Pattern Rhythm Two-dimensional (2D) figure, three-dimensional (3D) object
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a. is (1, 3) a solution? ___ yes ___ no because... b. is (5, -2) a solu…
No, because the point (1,1) lies in the unshaded (white) region of the graph, meaning it does not satisfy the system of inequalities (or equations) represented by the graph.
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skills objective d in 1 - 10, find the measures of the indicated angles…
For problem 1, \( m\angle BLE = \boxed{151^\circ} \) (assuming the diagram and supplementary angle logic)
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in the circle below, a is the center, \\(\\overline{bd}\\) is a diamete…
\( 55^\circ \)
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graph the line that has a slope of 4 and includes the point (0, 2). cli…
The line is graphed by plotting the point \((0, 2)\) (y - intercept) and using the slope \(4\) to find another point (e.g., \((1, 6)\)) and then drawing a straight line through th…
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complete problems 3–4. 3 the sign language club designs a poster to sha…
For part a, the first blank is \(3\) and the second blank is \(3\), so the expression is \((3 + 6) \times (4 + 3)\).
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which transformation of (x, y) is a dilation? (a) a (x + 3, y + 3) b (3…
B. \((3x, 3y)\)
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furniture marcus is assembling a leaning bookshelf with the dimensions …
\( 37.5 \)
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complete the proof that $\\triangle vwy \\cong \\triangle uxy$. 1 $\\ov…
For row 3, Reason: Vertical Angles are Congruent For row 4, Reason: SAS Congruence Postulate
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try again your answer is incorrect. - major arc: your answer is incorre…
Para la parte (e), \( m\angle BAC = 55^\circ \) (suponiendo que el arco \( \overset{\frown}{BC} \) es 55° y ∠BAC es el ángulo central sobre ese arco).
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which graph shows the equation $y = -2x - 4$
A. The graph labeled A
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if jk is a midsegment of △ghf, what is the length \\(\\overline{jk}\\)?…
\( 3.5 \)
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u is the midpoint of \\(\\overline{rt}\\) and \\(\\overline{qs}\\). com…
- For statement 3: Reason is "Definition of Midpoint" - For statement 4: Reason is "Definition of Midpoint" - For statement 5: Reason is "Vertical Angles Theorem"
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a figure is fully contained in quadrant ii. the figure is transformed a…
A. Quadrant IV
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use the pythagorean theorem to find the unknown side of the right trian…
\(\sqrt{13}\)
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$\\overline{vw} \\parallel \\overline{xy}$. complete the proof that $\\…
For statement 3, the reason is "Alternate Interior Angles Theorem". For statement 4, the reason is "Reflexive Property of Congruence".
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find the missing side of the following right triangles using the pythag…
s: 19) \( 3\sqrt{5} \, \text{cm} \) (or \( \approx 6.71 \, \text{cm} \)) 20) \( \sqrt{65} \, \text{cm} \) (or \( \approx 8.06 \, \text{cm} \)) 21) \( 2\sqrt{170} \, \text{cm} \) (…
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u is the midpoint of \\(\\overline{rt}\\) and \\(\\overline{qs}\\) and …
4. Reason: Definition of midpoint (A midpoint divides a segment into two congruent segments) 5. Reason: Definition of midpoint (A midpoint divides a segment into two congruent seg…
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final exam you must score at least 80% to earn your certificate of comp…
The correct option is the one with "Penalties become more severe with each additional conviction" (the first of the three option circles, labeled "Penalties become more severe wit…
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hk bisects ∠ihj and hi ≅ hj. complete the proof that δhjk ≅ δhik. (imag…
For Statement 3: Reason is "Definition of Angle Bisector" For Statement 4: Reason is "Reflexive Property of Congruence"
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which similarity statement relates △abc and △def? image of two triangle…
B) SAS Similarity
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q is the midpoint of \\(\\overline{pr}\\), \\(\\overline{qs} \\cong \\o…
SSS (Side - Side - Side) Congruence Postulate
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q is the midpoint of \\(\\overline{pr}\\). complete the proof that \\(\…
SSS (Side - Side - Side) Congruence Postulate
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triangles and their side lengths determining angle relationships in rig…
- The sum of angles \(X\) and \(Z\) must be: equal to \(90^\circ\) - Angle \(X\) must be: an acute angle (less than \(90^\circ\)) - Angle \(Z\) must be: an acute angle (less than …
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question 15 of 20 (1 point) | question attempt: 1 of 1 complete the sta…
(For the angle measures, assuming \( m\angle2 = 120^\circ \)): - \( m\angle3 = \boldsymbol{120}^\circ \) - \( m\angle1 = \boldsymbol{60}^\circ \) (For the relationships): - ∠2 and…
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in the figure below, ( m parallel n ) and ( p parallel q ). find the va…
\( y = 72 \) \( z = 23 \)
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what is the slope of this line? simplify your answer and write it as a …
\(2\)
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analyzing obtuse triangles triangle lmn has an obtuse angle at vertex m…
- The angle at vertex L is acute. - The angle at vertex N is acute. - Triangle LMN is an obtuse triangle.
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answer the questions below. (a) lena wrote a proof that included a stat…
conjecture ### Part (c)
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what is the slope of this line? simplify your answer and write it as a …
1
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answer the questions below. (a) lena wrote a proof that included a stat…
undefined term ### (b)
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use the figure to complete the sentence by using the drop-down menus. ∠…
First drop - down: Vertical Angles Theorem; Second drop - down: EDC (assuming the triangle is △EDC, with vertices E, D, C); Third drop - down: AA Similarity Postulate. (Note: The …
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the pythagorean theorem states that for all right triangles with legs a…
16) Yes (12² + 16² = 20²) 17) No (7² + 8² ≠ 10²) 18) Yes (24² + 45² = 51²)
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which angles are supplementary to each other? select all that apply. ∠c…
\(\angle CGE\) and \(\angle EGA\), \(\angle BGD\) and \(\angle EGF\)
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{2}{3}\)
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in the figure below, k || h. find the values of y and z. y = z =
\( y = 99 \), \( z = 29 \)
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which reason proves that △jkl is similar to △pqr? two triangles with an…
A) \(m\angle R = 83^\circ\)
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warm up 11/7/25 1) \\(\\sqrt{25}=\\) 2) \\(5^2 = \\) 3) \\((\\sqrt{25})…
1) \( \boldsymbol{5} \) 2) \( \boldsymbol{25} \) 3) \( \boldsymbol{25} \) 4) \( \boldsymbol{64 \, \text{cm}^2} \) 5) \( \boldsymbol{8\sqrt{2} \, \text{cm}} \) (or approximately \(…
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{1}{5}\)
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graph each inequality in the coordinate plane.\ see examples 1, 2, and …
The graphs are constructed by first determining the boundary line (dashed for strict inequalities, solid for non - strict), finding two points on the boundary line, testing a poin…
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which shows two triangles that are congruent by asa?
The top - most figure (the first one with two triangles having arc - marked angles and a common - looking included side)
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what is the slope of this line? simplify your answer and write it as a …
\(2\)
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which reason proves that △jkl is similar to △pqr? (image of two triangl…
The triangles $\triangle JKL$ and $\triangle PQR$ are similar by the AA (Angle - Angle) similarity criterion, because $\angle J\cong\angle P = 52^\circ$ and we can show that anoth…
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the tragedy of hamlet, prince of denmark, act iii, scene iv by william …
s: 1. For the question "How does Shakespeare present gender roles in Hamlet?": Feminist (the circle under the "Feminist" column for this question should be selected). 2. For the q…
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{2}{3}\)
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triangle congruence: asa and aas given: ( overline{ae} cong overline{dc…
2. \( \angle 1 \cong \angle 5 \) 3. \( \angle 2 \cong \angle 4 \)
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{5}{8}\)
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△abc can be mapped onto △def using a series of dilations and rigid moti…
The AA (Angle - Angle) similarity postulate proves $\triangle ABC$ is similar to $\triangle DEF$.
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{1}{4}\)
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triangle congruence: asa and aas given: ∠tsr and ∠qrs are right angles;…
of the AAS congruence theorem
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a rectangle with a perimeter of 12 inches is enlarged by a scale factor…
36
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in the figure shown, point m is the midpoint of (overline{ln}) and (ove…
- For \( \overline{QM} \cong \overline{MP} \): Reasoning is "Definition of Midpoint" - For \( \overline{NM} \cong \overline{LM} \): Reasoning is "Definition of Midpoint" - For \( …
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5 multiple choice 1 pointz in the diagram below of △ylb and △tcg are ri…
HL (The option corresponding to HL, e.g., if HL is one of the options like "HL" among SSA, AAA, AAS, HL, then the answer is the option with HL. Assuming the options are presented …
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what is the slope of this line? simplify your answer and write it as a …
1
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2) x = ??? (show your work below!!) (image of a right triangle with leg…
\(3\sqrt{2}\) ### Problem 3:
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triangle congruence: asa and aas can a translation and a reflection map…
The correct option is the one that says "Yes, a translation mapping vertex $Q$ to vertex $T$ and a reflection across the line containing $\overline{QS}$ will map $\angle QRS$ to $…
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in the diagram below of △alb and △rmq are right triangles, (overline{ae…
HL (The option corresponding to HL, which is the first option in the given choices: HL)
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answer the questions about the figures below. figure a figure b figure …
B. Figure B ### (b)
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in δijk, jk = 18, ki = 15, and ij = 9. which list has the angles of δij…
m∠K, m∠J, m∠I
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in the figure above, point m is the midpoint of \\(\\overline{ln}\\) an…
- For \( QM \cong MP \): Definition of Midpoint - For \( \angle QML \cong \angle PMN \): Vertical Angles - For \( \triangle LMQ \cong \triangle NMP \): SAS
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what is the slope of this line? simplify your answer and write it as a …
3
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if rectangle abcd is similar to rectangle efgh, what is eh? a b e f 8 h…
\(6\)
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as shown in the diagram below, $overline{ac}$ bisects $angle bad$ and $…
AAS (the option corresponding to AAS, e.g., if the options are labeled, say the option with AAS text)
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{6}{5}\)
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answer the questions about the figures below. figure a figure b figure …
(a): Figure A, Figure B ---
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6-8a skills objective d in 1-10, find the measure of the indicated angl…
1. \( m\angle BLE=\boldsymbol{34^\circ} \) 2. \( m\angle ELU=\boldsymbol{146^\circ} \) 3. \( m\angle R=\boldsymbol{22.5^\circ} \) 4. \( m\angle RED=\boldsymbol{22.5^\circ} \) (For…
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as shown in the diagram below, $overline{wy}$ bisects $angle xwz$ and $…
AAS (assuming the option with AAS is the correct one, e.g., if the options are like A. AAS, B. SSS, C. ASA, then the answer is A. AAS)
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directions: read the text, \the science of sarcasm? yeah, right?\ you w…
To answer the prompt "According to the author, why is it necessary to be able to detect sarcasm?" using the CERCA (Claim, Evidence, Reasoning, Counterargument, and Audience) frame…
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a dilation centered at the origin maps the point (1,3) to the point (4,…
4
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7. 8. ( mangle cda cong mangle f ) 9. 10. ( angle c ) and ( angle f ) a…
7. \( m\angle CDA = m\angle EDG \) 8. Given 9. \( m\angle C + m\angle F = 180^\circ \) 10. Definition of supplementary angles
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given abcd and gdef are parallelograms. prove ∠c and ∠f are supplementa…
1. Reason for Statement 1: Given 2. Reason for Statement 2: Consecutive angles of a parallelogram are supplementary 3. Statement 3: \(\boldsymbol{\angle C + \angle CDA = 180^\circ…
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triangle congruence: asa and aas what are the rigid transformations tha…
The correct option is the one with the description "Translate vertex A to vertex D, and then rotate $\triangle ABC$ around point A to align the sides and angles" (the top - right …
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{3}{5}\)