Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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solve for x and graph the solution. \\( \\frac { 3 x + 2 } { 4 } > 2 \\…
The solution is \(x\leq - 3\) or \(x > 2\). On the number - line, for \(x\leq - 3\), we have a closed circle at \(x = - 3\) (since the inequality includes equality) and the ray go…
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complete the proof that \\( \\overleftrightarrow { r t } \\perp \\overl…
1. **Vertical Angles Theorem** 2. **Linear Pair Postulate** 3. **Substitution Property of Equality** 4. **Simplification (or solving \(2x = 180\) where \(x=m\angle RVS\))** 5. **D…
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find the length of side x to the nearest tenth.
\(x = 8.0\)
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what are the values of x and y? x = y =
\(x = 70^{\circ}\), \(y = 110^{\circ}\)
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consider the transformation. which statement about the transformation i…
It is not isometric because the side lengths did not remain the same.
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which description is true about the transformation shown? it is a dilat…
It is a dilation because the transformation is not isometric.
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triangle stv is transformed to create the image, triangle utv. which si…
\(\overline{TV}\)
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utilizar la información proporcionada para demostrar que f || g. dado: …
# Explicación paso a paso: ## Paso 1: Identificar ángulos opuestos por el vértice $\angle 1\cong\angle 3$ (ángulos opuestos por el vértice son congruentes). ## Paso 2: Sustituir u…
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solve for x. round to the nearest tenth, if necessary. answer attempt 1…
\(2.3\)
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find the area. area of □ =? in² area of □ = in² remember: a□ = s² area …
Area of \(\square\) (square) \(= 16\) \(in^{2}\) Area of \(\square\) (rectangle) \(= 14\) \(in^{2}\) Area of Figure \(= 30\) \(in^{2}\)
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what is the length of the line? choose 1 answer: a 7 b $sqrt{10}$
# Explanation: ## Step1: Count the horizontal and vertical distance Assume each grid is 1 unit. The horizontal distance \(a = 3\), the vertical distance \(b= 6\). ## Step2: Use th…
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what is the measure of \\( \\angle j h g \\)? the measure of \\( \\angl…
\(75\)
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what is the midpoint of ab? point f point g point h point i
point \(G\) (since the coordinate of point \(G\) is \(1\))
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find the distance between the pair of parallel lines with the given equ…
B. 11 units
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find the perimeter and area of this figure p =? units a = units
\(P = 13.66\) units, \(A = 8\) units²
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find the circumference and area of this figure. c = ? units a = units² …
$C = 6.28$ units $A = 3.14$ units²
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the figure below is translated down 4 units. what are the coordinates o…
The coordinates of the image of point B are \((-1,-2)\)
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which ordered pair is shown on the graph?
\((0,4)\)
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question 7 (multiple choice worth 1 points) (scale factor and dilation …
\(k = 8\) (corresponding to the third option)
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the figure below is reflected over x - axis. what are the coordinates o…
The coordinates of the image of point E after reflection over the x - axis are \((4,6)\).
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given ( mparallel n ), find the value of ( x ).
\(62\)
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the figure below is rotated 180° counterclockwise. what are the coordin…
\((7,4)\)
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find the area. 24 in 15 in a =? in²
\(360\)
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find the distance, d, of \\( \\overline { a b } \\). \\( a = ( - 7, - 7…
\(d\approx7.2\)
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write the coordinates of the vertices after a translation 8 units left …
\(P'(-10,0)\), \(Q'(-2,0)\), \(R'(-8,-4)\)
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which two triangles are congruent by the sas theorem? complete the cong…
\(\triangle IJK\cong\triangle DEC\)
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what is the value of u? u = submit
\(92\)
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given ( mparallel n ), find the value of x. answer attempt 2 out of 2 (…
\(5\)
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which ordered pair is shown on the graph? (3,5) (5,3)
\((3,5)\)
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find the length of side ( x ) to the nearest tenth. answer attempt 1 ou…
\(2.1\)
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using the segment addition postulate, which is true? ab + bc = ad ab + …
\(BC + CD=BD\)
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find the measure of \\( \\angle p s r \\). \\( m \\angle p s r= \\) \\(…
\(115\)
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given ( m parallel n ), find the value of ( x ). answer attempt 1 out o…
\(x = 44\)
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generating equivalent expressions using order of 1 which of the followi…
### Problema 1 # Explicación: ## Paso 1: Calcular \(36 - 5^{2}+3\cdot7\) Primero, calculamos \(5^{2}=25\) y \(3\cdot7 = 21\). Luego, \(36-25 + 21=32\) ## Paso 2: Analizar la opció…
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which coordinate is the same as the x - coordinate of point p? x - coor…
Opposite of \( x \)-coordinate of point \( P \)
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△pqr is rotated 180° around the origin to form △pqr. what are the coord…
\( P(3,1) \), \( P'(-3,-1) \)
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△vwz is rotated 90° counterclockwise around the origin to form △vwz. 90…
\((-8,-6)\)
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$\\triangle fgh$ is rotated $90^{circ}$ counterclockwise around the ori…
The \(x\) - coordinate of \(G'\) is the opposite of the \(y\) - coordinate of \(G\). The \(y\) - coordinate of \(G'\) is the \(x\) - coordinate of \(G\).
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draw a line to break apart the figure into rectangles. find the area of…
\(16\) square units
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solve the inequality and graph the solution. 20 + 15j ≥ -10 plot the en…
The solution of the inequality is \(j\geq - 2\). On the number - line, we plot a closed circle at \(-2\) (because the inequality is \(\geq\)) and draw a ray to the right.
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solve the inequality and graph the solution. 13 < \\frac{c}{-4}+12 plot…
The solution of the inequality is \(c < - 4\). On the number - line, we have an open circle at \(-4\) (since the inequality is strict, \(c eq - 4\)) and the ray extends to the le…
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solve the inequality and graph the solution. 13h - 15 ≤ 11 plot the end…
The solution of the inequality \(13h - 15\leq11\) is \(h\leq2\). On the number - line, we place a closed circle at \(h = 2\) (because the inequality includes equality, i.e., \(\le…
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unit 2 review if there is not enough space on these sheets, complete al…
B. Dilations take perpendicular lines to perpendicular lines. C. Dilations of an angle are congruent to the original angle. F. Dilations of a triangle are similar to the original …
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solve the inequality and graph the solution. -13 > 2k + 3 plot the endp…
The solution of the inequality is \(k < - 8\). On the number - line, we plot an open circle at \(-8\) (because the inequality is strict, i.e., \(k eq - 8\)) and draw a ray to the…
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ws \triangle angle sum theorem\ find the measure of each angle indicate…
1. \(73^{\circ}\) 2. \(62^{\circ}\) 3. \(50^{\circ}\) 4. \(55^{\circ}\) 5. \(60^{\circ}\) 6. \(50^{\circ}\) 7. \(80^{\circ}\) 8. \(60^{\circ}\) 9. \(56^{\circ}\) 10. \(65^{\circ}\…
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solve the inequality and graph the solution. 9v - 7 > 11 plot the endpo…
The solution of the inequality \(9v-7>11\) is \(v > 2\). On the number - line, there is an open circle at \(2\) and a ray extending to the right.
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solve the inequality and graph the solution. 1 > \\frac{d}{3}-1 plot th…
The solution of the inequality is \(d < 6\). On the number - line, we have an open circle at \(d = 6\) (because the inequality is strict, \(d eq6\)) and the ray extends to the le…
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solve the inequality and graph the solution. 13 < 5 + 4w plot the endpo…
The solution of the inequality \(13 < 5 + 4w\) is \(w>2\). On the number - line, we have an open circle at \(w = 2\) (because the inequality is strict, i.e., \(w\) is not equal to…
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6. determine a series of transformations that would map figure f onto f…
Reflect Figure \(F\) over the \(y\) - axis and then translate the resulting figure \(10\) units to the right.
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solve the inequality and graph the solution. 9 + 2q < 15 plot the endpo…
The solution of the inequality \(9 + 2q<15\) is \(q < 3\). On the number - line, we have an open circle at \(q = 3\) (since the inequality is strict, \(q eq3\)) and the line exte…
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5. determine a series of transformations that would map figure q onto f…
First, reflect Figure \(Q\) over the \(x\) - axis. Then, translate the resulting figure \(6\) units up.
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order of operations homework be sure to show all work and box/circle yo…
1. \( 45 \) 2. \( 49 \) 3. \( 44 \) 4. \( 69 \) 5. \( 75 \) 6. \( 28 \) 7. \( 39 \) 8. \( 91 \) 9. \( 24 \) 10. \( 129 \) 11. \( 71 \) 12. \( 85 \)
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4. determine a series of transformations that would map figure t onto f…
A reflection over the \(y\) - axis followed by a translation up.
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3. determine a series of transformations that would map figure t onto f…
First, reflect Figure \(T\) over the \(x\) - axis. Then, translate the resulting figure \(2\) units to the left.
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35. how do you know when to use the alternate interior angles theorem a…
Use the Alt. Int. Angles Thm. when proving Alt. Int. Angles are congruent. Use the Converse of the Alt. Int. Angles Thm. when proving lines are parallel.
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34. a classmate states that line ab is parallel to line dc based on the…
line \(AB\) is NOT parallel to line \(DC\)
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problem 3 determining whether lines are parallel the fence gate shown b…
If Corresponding angles are congruent then the lines are parallel
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quadrilateral ( abcd ) is the image of quadrilateral ( abcd ) under a r…
C. \(180^{\circ}\)
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32. determine whether each statement is always, sometimes, or never tru…
- "Two lines in the same plane are parallel": Sometimes - "Two lines in intersecting planes are perpendicular": Sometimes - "Perpendicular lines meet at right angles": Always - "T…
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31. use the diagram below to find ( mangle2 ). ( 30^{circ}) ( 70^{circ}…
\(70^{\circ}\)
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30. use the diagram below to find ( mangle1 ).
\(70^{\circ}\)
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geometry name ws \triangle angle sum theorem\ date find the measure of …
1. \(49^{\circ}\) 2. \(62^{\circ}\) 3. \(45^{\circ}\) 4. \(55^{\circ}\) 5. \(60^{\circ}\) 6. \(50^{\circ}\) 7. \(80^{\circ}\) 8. \(50^{\circ}\) 9. \(55^{\circ}\) 10. \(65^{\circ}\)
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3. what is the value of y for which a || b? 29. choose your answer here…
\(y = 115\), so the answer is B.
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geometry name ws \triangle angle sum theorem\ date find the measure of …
1. \(49^{\circ}\) 2. \(62^{\circ}\) 3. \(45^{\circ}\) 4. \(55^{\circ}\) 5. \(60^{\circ}\) 6. \(50^{\circ}\) 7. \(80^{\circ}\) 8. \(50^{\circ}\) 9. \(65^{\circ}\) 10. \(65^{\circ}\)
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2. state the theorem or postulate that proves ( a parallel b ). a. conv…
B. Converse of the Alternate Interior Angles Theorem
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1. state the theorem or postulate that proves a || b. 27. choose your a…
D. Converse of the Alternate Exterior Angles Theorem
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26. given ( mangle3 = 105^{circ} ) and ( mangle4 = 75^{circ} ), if thes…
No, angles are not congruent
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prepare use the numbered angles in the diagram to answer each question.…
1. The vertical - angle pairs are \(\angle1\) and \(\angle3\), \(\angle4\) and \(\angle6\), \(\angle2\) and \(\angle5\). 2. The congruent - angle pairs are \(\angle1\cong\angle3\)…
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25. what happens when alternate interior angles are congruent between t…
Lines are parallel
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4. determine the value of x in each diagram. a. b. c. d.
a. \( x = 24 \) b. \( x = 146 \) c. \( x = 8 \) d. \( x = 14 \)
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24. if ( mangle1 = 50^{circ} ) and ( mangle2 = 130^{circ} ) are consecu…
Yes, they are supplementary
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list the side lengths from shortest to longest for each diagram. a. b.
a. \(l < m<k\) b. \(c < a<d < e < b\)
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5. triangles abc and def are similar. a. find the length of segment de.…
a. \(DE = 1.2\) b. \(AC = 5\)
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23. if two lines are cut by a transversal and corresponding angles are …
Corresponding Angles Converse Theorem
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2. determine the measure of the unknown angle in each triangle. a. b. c…
a. \(65^{\circ}\) b. \(34^{\circ}\) c. \(117^{\circ}\) d. \(53^{\circ}\)
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22. given line segments ab and cd are parallel, which statement is true…
Their corresponding angles are congruent.
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21. which of the following conditions is sufficient to prove lines are …
Alternate Interior Angles are congruent
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given: ∠1 ≅ ∠7 prove: ℓ || m 19 know • ∠1 ≅ ∠7 from the diagram you kno…
What is needed to Prove
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given: \\( \\angle 1 \\cong \\angle 7 \\) prove: \\( \\ell \\parallel m…
NEED
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example of a flow chart before writing a proof. flowcharts organize you…
True
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which lines are parallel if \\( \\angle 6 \\cong \\angle 7 \\)? justify…
\(l\parallel m\); Converse of the Corresponding Angle Theorem
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geometry - proofs with parallel lines and transversals given: lines d a…
4 & 6
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question 14 03:07 share 14. if m∠1 = m∠6, then m∠1 = m∠8 ∠1 ≅ ∠8 ∠1 ≅ ∠…
\(m\angle1 = m\angle8\)
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proofs with parallel lines and transversals geometry - proofs with para…
What needs to be proved
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12. in the proof, we examine relationships! true false
True
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proofs with parallel lines and transversals given: lines b and c are pa…
Because you need to prove that ∠1 is supplementary to ∠7 so start with what you know about ∠1 or ∠7 "Keep your eye on the goal!"
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proofs with parallel lines and transversals geometry - proofs with para…
True
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solve the inequality and graph the solution. 7 + 2s ≤ 3 plot the endpoi…
The solution of the inequality \(7 + 2s\leq3\) is \(s\leq - 2\). On the number - line, we plot a closed circle at \(-2\) (because the inequality is \(\leq\)) and draw a ray to the…
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how to write a proof - proving parallel lines graph the square root fun…
True
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solve the inequality and graph the solution. -2d - 3 > 1 plot the endpo…
The solution of the inequality is \(d < - 2\). On the number - line, we plot an open circle at \(-2\) (because the inequality is strict, \(d eq - 2\)) and draw a ray to the left …
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solve the inequality and graph the solution. 10 + 3n ≥ 4 plot the endpo…
The solution of the inequality \(10 + 3n\geq4\) is \(n\geq - 2\). On the number - line, we plot a closed circle at \(-2\) (because the inequality is \(\geq\), so \(-2\) is include…
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line ( l ) is shown below. right triangles ( a b c ) and ( d e f ) are …
(a) rise: \(6\), run: \(1\), slope: \(6\) (b) rise: \(2\), run: \(\frac{1}{3}\), slope: \(6\) (c) Yes. They are equal because the two triangles are similar.
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question 8 8. you will see, shortly, that the teacher made an error whe…
True
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a rectangle has sides measuring (4x + 5) units and (3x + 10) units. par…
## Part A The simplified expression for the area of the rectangle is \(12x^{2}+55x + 50\). ## Part B The degree of the polynomial is \(2\), and it is a trinomial.
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7. a 2 - column proof has statements on the left and reasons on the rig…
True
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line l is shown below. right triangles abc and def are drawn to measure…
(a) rise: \(2\), run: \(2\), slope: \(1\) (b) rise: \(4\), run: \(4\), slope: \(1\) (c) Yes. They are equal because the slope formula \(m=\frac{\text{rise}}{\text{run}}\) gives th…
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what are the vertices of the image ( r(90^{circ}, o)(\triangle bcd) )? …
\(B'(-3,-3),C'(-1,4),D'(2,0)\) (the first option)
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which segment is congruent to segment ad? * 1 point segment ep segment …
Segment EP
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which segment is congruent to segment pm? * 1 point segment as segment …
Segment DS
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△sea is rotated 270° about the origin. draw the image of this rotation.
Plot the points obtained from the rotation rule \((x,y)\to(y, - x)\) for each vertex of \(\triangle SEA\) and connect them.