Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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sean and his family are picking strawberries at a pick - your - own fru…
B. 512
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in the cube shown below, which lines are skew? select all that apply.
$\overrightarrow{KL}$ and $\overrightarrow{MQ}$, $\overrightarrow{PQ}$ and $\overrightarrow{LM}$, $\overrightarrow{NO}$ and $\overrightarrow{MQ}$
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in the triangular prism shown below, which lines are intersecting? pr a…
$\overleftrightarrow{PQ}$ and $\overleftrightarrow{MP}$
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3. sohum is plotting the ordered pairs (-4, 5), (0, 5) and (3, 5). whic…
horizontal line
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2. what are the coordinates of the origin? (-6, 1) (0, -2) (0, 0) (6, 0)
C. (0, 0)
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in the cube shown below, which lines are parallel? select all that appl…
$\overleftrightarrow{OR}$ and $\overleftrightarrow{KN}$, $\overleftrightarrow{OR}$ and $\overleftrightarrow{PQ}$, $\overleftrightarrow{NR}$ and $\overleftrightarrow{LP}$, $\overle…
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1. zaira needs to plot the ordered pair (-4, -6). she started at the or…
Move 6 units down.
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in the triangular prism shown below, which lines are parallel? lo and m…
$\overrightarrow{KL}$ and $\overrightarrow{NO}$
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the measure of an angle is 73.6°. what is the measure of its complement…
$16.4$
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in the rectangular prism shown below, which lines are skew? fg and ei d…
$\overrightarrow{FJ}$ and $\overrightarrow{GK}$
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the measure of an angle is 81.5°. what is the measure of its complement…
$8.5$
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the measure of an angle is 31.6°. what is the measure of its supplement…
# Explicación: ## Paso 1: Definir la relación de ángulos suplementarios Dos ángulos son suplementarios si su suma es 180°. ## Paso 2: Calcular el ángulo suplementario Sea $\theta …
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find the measures of the numbered angles in the figure, shown to the ri…
If we assume the angles are numbered in a logical order starting from the top - left: The angle adjacent to the $120^{\circ}$ angle has measure $60^{\circ}$ (by the Linear - Pair …
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find the measures of the numbered angles in the figure, shown to the ri…
| Measure | Justification | | ---- | ---- | | $m\angle1 = 120^{\circ}$ | Vertical - Angles Theorem | | $m\angle2 = 122^{\circ}$ | Vertical - Angles Theorem | | $m\angle3 = 60^{\ci…
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what is the value of t?
$138.6^{\circ}$
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what is the value of q? 143°
$37^{\circ}$
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x > -1 plot points on the boundary line. select the line to switch betw…
# Explanation: ## Paso 1: Identificar la línea de frontera La desigualdad es $x > - 1$. La línea de frontera es la recta $x=-1$, que es una recta vertical. ## Paso 2: Decidir el t…
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what is the value of k?
$35^{\circ}$
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the measure of an angle is 13°. what is the measure of its complementar…
$77$
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the measure of an angle is 95°. what is the measure of its supplementar…
# Explicación: ## Paso1: Recordar la definición de ángulos suplementarios Dos ángulos son suplementarios si la suma de sus medidas es 180°. ## Paso2: Calcular el ángulo suplementa…
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the measure of an angle is 67°. what is the measure of its complementar…
# Explicación paso a paso: ## Paso1: Recordar la definición de ángulos complementarios Dos ángulos son complementarios si la suma de sus medidas es 90°. ## Paso2: Calcular el ángu…
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the measure of an angle is 20°. what is the measure of its supplementar…
# Explicación: ## Paso 1: Definir ángulos suplementarios Dos ángulos son suplementarios si la suma de sus medidas es 180°. ## Paso 2: Calcular el ángulo suplementario Sean $\alpha…
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what is the value of z? 45°
$45$
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complete the table below | measure | justification | | ---- | ---- | | …
$m\angle1 = 67^{\circ}$ $m\angle2 = 67^{\circ}$ $m\angle3 = 113^{\circ}$ $m\angle4 = 113^{\circ}$
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in exercises 6 and 7, for what value of x is l || m? which theorem or p…
For Exercise 6, \(x = 65\). For Exercise 7, \(x = 17\).
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look at the graphic. which phrase best fits in the center circle? busin…
Resources of the West
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5. complete the flow proof shown. fill in the blanks. given: ∠1 and ∠4 …
Same - side interior \(\angle s\) are suppl.; \(\angle1\cong\angle2\); \(\angle1\cong\angle2\) (from transitive property of congruence)
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which angles are consecutive interior angles? ∠xwt and ∠utw ∠xwt and ∠s…
$\angle XWT$ y $\angle STW$
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which angles are supplementary angles? ∠rqs and ∠pqn ∠rqs and ∠mnl ∠rqs…
$\angle RQS$ and $\angle RQN$
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name 2 - 2 additional practice proving lines parallel use the figure fo…
1. No theorem for parallel lines (vertical angles). 2. Alternate Interior Angles Theorem. 3. Alternate Exterior Angles Theorem. 4. Same - Side Exterior Angles Theorem.
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which angles are supplementary angles? ∠wvx and ∠tsv ∠wvx and ∠rsq ∠wvx…
∠WVX and ∠UVS
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which angles are vertical angles? ∠tuw and ∠vuw ∠tuw and ∠vur ∠tuw and …
$\angle TUW$ y $\angle VUR$
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which angles are consecutive interior angles? ∠str and ∠stw ∠utw and ∠s…
∠UTW and ∠XWT
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which angles are consecutive interior angles? ∠uvs and ∠rsq ∠uvs and ∠r…
∠UVS and ∠RSV
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ik and ln are parallel lines. which angles are vertical angles? ∠lmj an…
# Explicación: ## Paso1: Definición de ángulos verticales Los ángulos verticales son aquellos que se forman cuando dos rectas se intersectan y son opuestos por el vértice. ## Paso…
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tv and wy are parallel lines. which angles are alternate interior angle…
# Explicación: ## Paso 1: Definir ángulos internos alternos Los ángulos internos alternos son ángulos que se encuentran entre dos líneas paralelas y en lados opuestos de una trans…
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find the values of x and y. x = (do not include the degree symbol in yo…
\(x = 128\), \(y = 52\)
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eg and hj are parallel lines. which angles are supplementary angles? ∠j…
$\angle JIF$ y $\angle JIK$
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df and gi are parallel lines. which angles are adjacent angles? ∠ihe an…
# Explicación: ## Paso 1: Definición de ángulos adyacentes Los ángulos adyacentes comparten un lado común y un vértice común, y no se superponen. ## Paso 2: Analizar cada par de á…
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mo and pr are parallel lines. which angles are alternate interior angle…
# Breve explicación: Los ángulos internos alternos son aquellos que se encuentran entre dos líneas paralelas y en lados opuestos de la transversal. En este caso, las líneas parale…
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complete the two - column proof. given: x||y prove: ∠3≅∠5 2) m∠3 + m∠8 …
\(m\angle3 = m\angle5\) (so \(\angle3\cong\angle5\))
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jl and mo are parallel lines. which angles are vertical angles? ∠onk an…
$\angle ONK$ y $\angle MNP$
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complete the two - column proof. given: x||y prove: ∠3≅∠5. m∠4 + m∠8 = …
\(\angle3\cong\angle5\)
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complete the two - column proof. given: x||y prove: ∠3≅∠5 1) x||y 1) gi…
$m\angle3 = m\angle5$ (or $\angle3\cong\angle5$)
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ln and oq are parallel lines. which angles are adjacent angles? ∠lmp an…
$\angle{LMP}$ y $\angle{LMK}$
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complete the two - column proof. given: x||y prove: ∠3≅∠5 statements re…
2) Same - side interior angles are supplementary.
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ons and graphing graph a line through (1, 3) and (0, - 2)
Graph a line passing through the points $(0,-2)$ and $(1,3)$ (by first finding the equation $y = 5x-2$ and using the y - intercept and slope to plot points).
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defined terms term figure names a ray is a part of a line that starts a…
A. For two rays that form an angle: Draw two rays with a common endpoint. For two rays that do not form an angle: Draw two non - intersecting rays with no common endpoint. B. For …
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triangle abc is similar to triangle def. determine a sequence of transf…
A possible sequence is a rotation followed by a translation. The specific rotation angle and translation values depend on the coordinates of the vertices of the triangles. For exa…
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if m ||n and m∠e = 100° in the figure to the right, find the measures o…
\(m\angle a = 100^{\circ}\), \(m\angle c = 100^{\circ}\), \(m\angle h = 100^{\circ}\)
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lines m and n are parallel. find the measures of angles x, y, and z in …
$m\angle x = 47^{\circ}$, $m\angle y = 47^{\circ}$, $m\angle z = 133^{\circ}$
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52. road maps are drawn to scale. using a scale of 1 in. = 10 mi, how m…
$18.5$ inches
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find m∠1. m∠1 = (type an integer or a fraction. do not include the degr…
123
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7 multiple answer 4 points a. dilate by a scale factor of 2 with a cent…
All of the options (a. Dilate by a scale factor of 2 with a center of dilation at the origin; Reflect $\triangle ABC$ across the $x$-axis; Dilate by a scale factor of $\frac{1}{2}…
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dilations 1. multiple choice 2 points 7. $\frac{pz}{px}=\frac{py}{py}=\…
1. B. \(\frac{PX'}{PX}=\frac{PY'}{PY}=\frac{PZ'}{PZ}\) 2. 5
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40. everett is 5 ft 10 in. tall and casts a shadow 8 ft 9 in. long. a f…
9 ft 4 in
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task 1: the climbing structure is made using rope segments. a. why woul…
A. For symmetry, stability, and ease of construction. B. Since \(WX\cong TV\) (given), by the symmetric property of congruence, \(\overline{TV}\) is congruent to \(\overline{WX}\)…
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27) find the radius of a circle so that its area and circumference have…
$2$
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solve the inequality. $\frac{x}{4}leq12$. the solution is (square). gra…
The solution of the inequality is $x\leq48$. To graph it on the number - line, you would draw a closed circle at 48 (because the inequality includes equality, $\leq$) and shade to…
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in the figure below, triangle abc is rotated 180° about point p to beco…
D. Angles ABC and DEF are congruent.
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two streets are parallel as they pass through columbus avenue. find the…
\(m\angle1 = 116^{\circ}\), \(m\angle2 = 64^{\circ}\)
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describe the behavior of the graph below.
The graph represents a linear function with a negative slope. As \(x\) increases, \(y\) decreases. The line intersects the \(y\) - axis at a positive value and the \(x\) - axis at…
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c. you can graph the segments to find the point where they intersect. d…
Yes, the segments intersect at the mid - point of segment $AB$ which is $(1,2)$.
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6. higher order thinking carlos wants to use 3 ▲ to make a square. can …
No, he can't. Three triangles cannot be arranged to form a square as a square has 4 equal sides and 4 right - angles, and triangles have 3 sides and cannot be combined to meet the…
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c. you can graph the segments to find the point where they intersect. d…
The coordinates of endpoint $D$ are $(-8,18)$.
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7. assessment how many does adam need to make a ? 1 a 2 b 3 c 4 d
C. 3
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4. kerry uses these shapes to make a new shape. circle the shape kerry …
The yellow hexagon should be circled.
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solve each problem below. 3. number sense write the number of each shap…
- Triangles: 6 - Trapezoids: 2 - Parallelograms: 3
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5. tony uses these shapes to make a new shape. circle the shape tony ma…
The red trapezoid - shaped figure (the second option from the left among the answer - choice figures).
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xyz has vertices x(-4, -1), y(-2, -1) and z(-2, -5). give the coordinat…
\(X'(2,4)\), \(Y'(4,4)\), \(Z'(4,0)\)
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5. △fty has vertices f(2, -1), t(2, -3) and y(5, 1). give the coordinat…
F'(-3, 2), T'(-3, 0), Y'(0, 4)
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8. complete the rule for the translation of acdef to cdef. rule: (x, y)…
$(x,y)\to(x + 5,y)$
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7. complete the rule for the translation of △cde to △cde. rule: (x, y) …
$(x,y)\to(x + 2,y+4)$
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task 4: given the points a(-3, 2), b(5, 2), c(1, 1), and d(1, 7), find …
$M_{\overline{AB}}=(1,2)$; $M_{\overline{CD}}=(1,4)$; The segments do not intersect at one of the mid - points. A. Because the $y$ - values of $A$ and $B$ are equal. B. Because th…
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kaitlin wants to paint the ceiling of her restaurant. the ceiling is in…
9
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ivan wants to plant grass in his backyard. his backyard is in the shape…
42
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the floor of a room has carpet and tile. find the area of the part with…
24
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charmaines backyard has a patio and a garden. find the area of the gard…
28
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bisect a segment to find the midpoint. two segments that have the same …
A. \(x = 8\) B. \(B\) is not the mid - point of \(\overline{AC}\) because when we solve for \(x\) using \(AB = BC\), we get \(x=\frac{7}{3}\), and \(AB + BC eq AC\).
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amandas garden has carrots and corn. find the area of the part with car…
20
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amys backyard has cement and grass. find the area of the part with ceme…
21
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this task comes from the on your own questions 10 and 12 and is used as…
A. $AC = 71$ B. $x = 11$, $AB = 20$, $BC = 16$ Turn and Talk: $AB = 35$
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find the area of the shape. (sides meet at right angles.) square feet
14
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in a scale drawing of a painting, 1 centimeter represents 6 inches. ans…
(a) 4 (b) 42
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question 5 triangle jkl has vertices (3, 8), (-4, 2), and (3, -7). tria…
B. $(0,4)$
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in the coordinate plane, the points (x(-3,6)), (y(5, - 9)), and (z(8,11…
$X'(3,6)$ $Y'(-5,-9)$ $Z'(-8,11)$
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question 3 triangle abc is graphed in the coordinate plane below. if tr…
(3, - 2)
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question 2 which properties are changed in a rigid transformation? (i) …
B. (iii) and (iv)
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question 1 which type of transformation is not a rigid transformation? …
None of the above (since all options: Rotation, Reflection across x - axis, Translation, Reflection across y - axis are rigid transformations)
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ii. evaluate each expression for the given values and circle your answe…
$-\frac{5}{16}$
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an equilateral triangle has a perimeter of 15x^{3}+33x^{5} feet. what i…
D. $5x^{3}+11x^{5}$ feet
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quadrilateral abcd is pictured below. quadrilateral abcd is reflected o…
B. $(-3,-5)$
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find the radius of each circle. use your calculators value of π. round …
1. **For finding radius given circumference**: - The formula for the circumference of a circle is \(C = 2\pi r\), where \(C\) is the circumference and \(r\) is the radius. We can …
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triangle abc has coordinates listed below. points x y a -5 3 b -8 1 c -…
B. $(8, -7)$
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triangle abc has coordinates listed below. |points|x|y| |a|-5|3| |b|-8|…
B. $(3, - 4)$
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question 7 which of the following transformations occurred when transla…
Translated right 8 units, then reflected over the x - axis
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below is the table for the coordinates of a triangle on the coordinate …
$(5, - 2)$
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below is the table for the coordinates of a triangle on the coordinate …
B. $(-1,-4)$
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question 4 identify the transformation in the following figure. transla…
Reflection over the line x = 5.
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question 3 identify the transformation in the following figure. reflect…
Translation of 60 units right