Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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identify all pairs of consecutive interior angles. ∠1 and ∠5 ∠2 and ∠6 …
$\angle3$ and $\angle5$, $\angle4$ and $\angle6$
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rotations of shapes graph the image of the figure using the 1) rotation…
# Explicación: ## Paso 1: Recordar regla de rotación Para una rotación de 180° alrededor del origen, si un punto tiene coordenadas $(x,y)$, su imagen tendrá coordenadas $(-x,-y)$.…
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graph the image of the figure using the 1) rotation 180° about the orig…
# Explicación: ## Paso 1: Recordar regla de rotación Para una rotación de 180° alrededor del origen, el punto $(x,y)$ se transforma en $(-x,-y)$. ## Paso 2: Identificar vértices d…
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1) rotation 180° about the origin
Graficar el triángulo con vértices transformados según la regla $(x,y)\to(-x,-y)$ para una rotación de 180° alrededor del origen.
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mathematical practices do you understand? 8. vocabulary why is the word…
8. Parallel lines are coplanar because they lie in the same plane. 9. Alternate interior angles are non - adjacent angles that lie between two lines and on opposite sides of a tra…
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heather can complete one problem in thirty minutes and when she started…
The values of \(x\) (number of hours) satisfy \(5\leqslant x\leqslant9\). This is represented by a number line with closed circles at 5 and 9 and a line segment between them. So t…
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#3.) in the diagram below l || m. fill in the chart below: | angles | a…
| Angles | Angle Pair Name | Relationship | |--|--|--| | ∠2 and ∠12 | Corresponding Angles | Congruent | | ∠5 and ∠7 | Vertical Angles | Congruent | | ∠7 and ∠10 | Alternate Inter…
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graph the image of square defg after a dilation with a scale factor of …
Graph the square with vertices $(-12,-10)$, $(12,-10)$, $(12,10)$, $(-12,10)$ on the given coordinate grid.
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determine a series of transformations that would map polygon abcde onto…
A 180° rotation about the origin followed by a translation 1 unit left and 2 units down.
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graphing. state the order pair of each point on the line. a____ b____ c…
A. $(-4,-4)$ B. $(-2,-2)$ C. $(1,1)$ D. $(3,3)$
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complete the steps below to prove the law of cosines. when filling in t…
Part 1: $c^{2}=(b - x)^{2}+h^{2}$ Part 2: $c^{2}=x^{2}+h^{2}+b^{2}-2bx$ Part 3: $a^{2}=x^{2}+h^{2}$ Part 4: $c^{2}=a^{2}+b^{2}-2bx$ Part 5: $x = a\cos C$ Part 6: $c^{2}=a^{2}+b^{2…
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which point is outside of the triangle? ○ a. (4, 6) ○ b. (2, 5) ○ c. (2…
C. (2, 7)
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rotations of shapes graph the image of the figure using the transformat…
# Explicación: ## Paso 1: Reglas de rotación para 180° alrededor del origen Para rotar un punto $(x,y)$ 180° alrededor del origen, la fórmula es $(x,y)\to(-x,-y)$. Identifica los …
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an inequality is shown. -3x + 5 < 2(x - 10) solve the inequality and gr…
The solution of the inequality is $x>5$. On the number - line, there is an open circle at 5 and an arrow pointing to the right.
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which point is outside of the triangle? a. (6,5) b. (2,5) c. (2,7) d. (…
A. (6, 6)
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height of the triangle is h, and bd = x. complete the steps below to pr…
Part 1: $c^{2}=x^{2}+h^{2}$ Part 2: $b^{2}=(a - x)^{2}+h^{2}$ Part 3: $b^{2}=x^{2}+h^{2}+a^{2}-2\cdot a\cdot x$ Part 4: $b^{2}=c^{2}+a^{2}-2\cdot a\cdot x$ Part 5: $x = a\cos B$ P…
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1. in the diagram below, points e, f, and g all lie on the same line. w…
1. (2) $\overline{GE}$ and $\overline{GF}$ 2. (4) a circle 3. (1) 8 4. (2) $37^{\circ}$ 5. (3) $124^{\circ}$
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an inequality is shown. 5x + 15 ≤ 2x - 30 solve the inequality and grap…
$x\leq - 15$, and the graph has a closed - circle at - 15 and an arrow pointing to the left.
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2.01: swbat explore and define special angle relationships created when…
#1: parallel lines; transversal line #2a: | Angles | Angle Pair Name | Relationship | | ---- | ---- | ---- | | $\angle1$ and $\angle3$ | Vertical angles | Equal | | $\angle4$ and …
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do you know how? name one pair each of the segments, planes, or angles.…
1. $AB$ and $DC$ 2. $AB$ and $EH$ 3. Plane $ABFE$ and plane $DCGH$ 4. $\angle3$ and $\angle6$ 5. $\angle3$ and $\angle5$ 6. $\angle1$ and $\angle5$ 7. $\angle1$ and $\angle8$
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1. in the diagram below, points e, f, and g all lie on the same line. w…
1. (2) $\overrightarrow{GE}$ and $\overrightarrow{GF}$ 2. (4) a circle 3. (1) 8 4. (2) $37^{\circ}$ 5. (3) $124^{\circ}$
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geometry identify the transformation that creates the congruent figures…
$(-3,-3)$
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the height of the triangle is h, and cd = x. complete the steps below t…
Part 1: $c^{2}=(b - x)^{2}+h^{2}$ Part 2: $c^{2}=x^{2}+h^{2}+b^{2}-2\cdot b\cdot x$ Part 3: $a^{2}=x^{2}+h^{2}$ Part 4: $c^{2}=a^{2}+b^{2}-2\cdot a\cdot b$ Part 5: $x = a\cos C$ P…
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1. in the diagram below, points e, f, and g all lie on the same line. w…
(1) $\overrightarrow{EG}$ and $\overrightarrow{GE}$; (2) $\overrightarrow{GE}$ and $\overrightarrow{GF}$; (3) $\overrightarrow{EF}$ and $\overrightarrow{FG}$; (4) $\overrightarrow…
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reasoning 5. $overline{ab}$ passes through $a(-2,3)$ and $b(4,6)$. (a) …
(a) Points A and B are plotted on the coordinate - grid and $\overline{AB}$ is drawn. (b) One line. (c) A line with slope $\frac{1}{2}$ passing through C(4,2) is drawn.
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if each cube in the rectangular prism measures 1 cubic centimeter, what…
D. 40 cubic cm
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a. who would make more money working 10 hours? explain how you know. b.…
Points A, B, C, D are plotted on the coordinate - plane as described above. The value of 8÷(-2) is - 4.
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which best defines an angle? a. an exact location in space b. a straigh…
C. two straight paths of points that meet at a point on one end and both have an arrow on the opposite end
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point t is plotted on the coordinate plane shown. what coordinates best…
B. (5, 8)
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point t is plotted on the coordinate plane shown. what coordinates best…
B. (5, 8)
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reasoning 5. $overline{ab}$ passes through $a(-2,3)$ and $b(4,6)$. (a) …
(a) Points A and B are plotted and $\overline{AB}$ is drawn. Point C is plotted. (b) One line. (c) The line through C with the same slope as $\overline{AB}$ (slope = $\frac{1}{2}$…
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which y - coordinate can be found on the door of the house? a. 2 b. 5 c…
A. 2
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what is the perimeter of the rectangle shown? 5 cm 6 cm a. 44 cm b. 22 …
B. 22 cm
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each square on a grid represents 1 unit on each side 1. calculate the s…
\(-2\)
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a rectangular rug has an area of 48 square feet. the width of the rug i…
A. 8 feet
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write a rule that represents each reflection of the arrows below. 11. 1…
11. $(x,y)\to(-x,y)$ 12. $(x,y)\to(x, - y)$
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10. (x,y)→(x, -y) pre - image image a(0,0) a( , ) description: b(1, -2)…
| Pre - Image | Image | |----|----| | A(0,0) | A'(0,0) | | B(1,-2) | B'(1,2) | | C(-4,-1) | C'(-4,1) | | D(-3,-3) | D'(-3,3) | Description: Reflection over the x - axis.
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9. (x,y)→(−x,y) description: pre - image image a(0,3) a( , ) b(6,5) b( …
| Pre - Image | Image | |--|--| | A(0,3) | A'(0,3) | | B(6,5) | B'(-6,5) | | C(2,5) | C'(-2,5) | Description: Reflection over the y - axis.
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8. reflect over the x - axis pre - image image a(4,1) a(\t,\t) b(2, - 1…
| Pre - Image | Image | | ---- | ---- | | $A(4,1)$ | $A'(4,-1)$ | | $B(2,-1)$ | $B'(2,1)$ | | $C(2,-4)$ | $C'(2,4)$ | | $D(4,-4)$ | $D'(4,4)$ | Rule: $(x,y)\to(x, - y)$ ### 9.
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1. given the points l, m, n and o located at l(0, - 2), m(5,8), n(-1,5)…
(d) Vertical angles (e) The measures of $\angle MPN$ and $\angle LPO$ are equal.
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3. given the points l, m, n, and o located at l(0, - 2), m(5,8), n(-1,5…
### 3. #### (a) To plot the points: - For point $L(0, - 2)$, start at the origin $(0,0)$ and move 2 units down along the $y$-axis and label it as $L$. - For point $M(5,8)$, start …
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find the length of the third side. if necessary, write in simplest radi…
$\sqrt{103}$
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parallelogram proofs quick check use the image to answer the question i…
150 degrees
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identifying types of lines in three dimensions which are lines that wil…
Which are lines that will intersect? \(a\) and \(b\) Which are perpendicular lines? \(a\) and \(b\) Which are skew lines? \(c\) and \(d\)
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which angles are vertical to each other? ∠5 and ∠3 ∠7 and ∠6 ∠4 and ∠8 …
∠4 and ∠8
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after another wind change, the weathervane has turned an additional 20°…
$90^{\circ}+20^{\circ}=110^{\circ}$
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the diagram below is a right rectangular prism. all the angles shown me…
PT and UR (answers may vary, other valid pairs like PW and QR etc. are also possible)
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select the correct answer from each drop - down menu. point c(3.6, - 0.…
The coordinates of point \(B\) are \((10,-4)\); The coordinates of point \(D\) are \((\frac{58}{9},-2)\)
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which angle is complementary to ∠2?
∠5
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which angle is vertical to ∠2?
∠4
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x = ___ y = ___
x = 15 y = 45
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look at this shape: which image shows a rotation? a b c
A.
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find the measure of the missing angle. answer attempt 1 out of 2 a =
\(35^{\circ}\)
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given: ∠abc is a right angle. ∠dbc is a straight angle. prove: ∠abc≅∠ab…
definition of congruent angles
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name the marked angle in 2 different ways.
$\angle N$, $\angle PNO$
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the figure below has a point marked with a large dot. first, reflect th…
Point in original figure: $(4, - 7)$ Point in final figure: $(-4, - 7)$
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using the graph, determine the coordinates of the vertex of the parabol…
(1, 4)
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the diagram below is an oblique, or slanted, rectangular prism. not all…
Plane $STUV$ and Plane $OPQR$
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1. plot the coordinates on the plane. then determine whether ab and cd …
1. To plot the points: - For point A(6, - 1): Start at the origin (0,0). Move 6 units to the right along the x - axis and 1 unit down along the y - axis. - For point B(1, - 1): Mo…
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the figures below are similar. use proportions to find the length of m.…
15
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the measurement from the base of a tree to the tip of its shadow is 100…
D. 173.2 ft
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what is the area of this figure? square feet
54
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what single transformation was applied to triangle a to get triangle b?…
# Explicación: ## Paso 1: Observar la orientación de los triángulos Vemos que el triángulo B está en una posición diferente en el plano que el triángulo A. ## Paso 2: Identificar …
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which angles are supplementary to each other? ∠9 and ∠5 ∠5 and ∠8 ∠10 a…
∠5 and ∠2
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polygon v is a scaled copy of polygon u. what is the value of w?
$6.5$
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triangle x is a scaled copy of triangle w. what is the value of y?
12
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quadrilateral h is a scaled copy of quadrilateral g. what is the value …
36
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polygon l is a scaled copy of polygon j. what scale factor takes polygo…
0.8
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5. if uw = 6x - 35, find uw. 19 4x - 20 u v w
67
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¿cuáles pares de figuras son congruentes? ¿cuáles pares son semejantes?…
First pair: Congruent - No, Similar - Yes Second pair: Congruent - No, Similar - Yes Third pair: Congruent - Yes, Similar - Yes Fourth pair: Congruent - No, Similar - Yes
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find the value of each variable and the measure of each angle.
\(x = 16\), \(y=\frac{20}{3}\)
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determine a series of transformations that would map figure v onto figu…
A translation 12 units down followed by a translation 1 unit to the right.
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write the standard form of the equation of the circle with the given ce…
$(x - 2)^2+(y - 6)^2=49$
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rectangle r is a scaled copy of rectangle q. what is the value of x?
18
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triangle t is a scaled copy of triangle s. what scale factor takes tria…
$2$
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name the marked angle in 2 different ways. answer attempt 1 out of 2 su…
\(\angle X\), \(\angle WXZ\)
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if a triangle with sides 3 cm, 4 cm, and 5 cm is dilated by a scale fac…
B. 6 cm, 8 cm, 10 cm
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a flower bed is in the shape of a triangle with one side twice the leng…
The length of the shortest side is 33 feet. The length of the second side is 66 feet. The length of the third side is 46 feet.
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give the center and radius of the circle described by the equation and …
$[-2,8]$
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which transformation maps quadrilateral efgh to quadrilateral qrsp? dil…
rotation
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analyzing a transformation. which type of transformation is shown? the …
The transformation is dilation, a type of non - rigid transformation. The angle measures of rectangle QRST are equal to the angle measures of rectangle Q'R'S'T'. The side lengths …
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solve for x. round to the nearest tenth of a degree, if necessary.
\(x\approx52.6\)
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the point k(5, 6) is reflected over the x - axis. what are the coordina…
$(5,-6)$
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in exercises 1 - 6, use the diagram to write an example of the postulat…
1. Through points \(A\) and \(B\), there is exactly one line \(\overleftrightarrow{AB}\). 2. Line \(\overleftrightarrow{TU}\) contains points \(T\) and \(U\). 3. Conceptually, if …
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graph the line whose y - intercept is 4 and whose x - intercept is 9.
1. Locate the y - intercept: Plot the point (0, 4) on the y - axis. 2. Locate the x - intercept: Plot the point (9, 0) on the x - axis. 3. Draw the line: Use a straight - edge to …
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select any two points shown on line u to draw a slope triangle. the lin…
$y=-1x - 5$
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find the values of x and y. (7y)° (4x - 11)° 43° 84° x = y =
\(x = 13\), \(y=\frac{6}{7}\)
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find the measure of the missing angles. answer attempt 1 out of 2 d = °…
$d = 90^{\circ}$, $e = 61^{\circ}$, $f = 119^{\circ}$
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9. when a scale factor is less than 1, what happens to the figure? a. i…
D. It becomes smaller
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find the length of the third side. if necessary, round to the nearest t…
24
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find the measure of the missing angles. answer attempt 1 out of 2 $g=sq…
\(g = 57^{\circ}\), \(h = 123^{\circ}\)
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using context for each item, determine whether the boldface word from p…
2. The star athlete commented that children who dream of playing sports should work hard on the field rather than idolize the current players. 3. This small jar filled with sand f…
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express the interval in set - builder notation and graph the interval o…
A. The solution set in set - builder notation is $\{x|x < 4\}$. C. The correct graph is the one with an open - circle at $4$ and an arrow pointing to the left.
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what single transformation was applied to triangle a to get triangle b?
# Explicación: ## Paso 1: Observar la posición de los triángulos Vemos que el triángulo B está desplazado hacia la derecha en comparación con el triángulo A. ## Paso 2: Identifica…
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an altitude is drawn from the vertex of an isosceles triangle, forming …
$63.7$ inches
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question find the measure of the missing angle. answer attempt 1 out of…
\(49^{\circ}\)
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find the measure of the missing angles. answer attempt 1 out of 2 x = y…
$x = 32$ $y = 58$
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graph the inequality below on the number line. a < - 2
Draw an open - circle at -2 on the number line and shade the line to the left of -2.
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follow the guided instructions below to rotate the figure 270° counter …
The rotated figure and the circle as described above should be drawn on the coordinate - plane. The vertices of the rotated figure are found by applying the transformation $(x,y)\…
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question 7 of 10 what is the midpoint of the segment shown below? (1, -…
C. $(\frac{5}{2},-\frac{7}{2})$