幾何
三角形、円、座標幾何、証明問題。
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10. if (mangle pqt=(3x + 47)^{circ}) and (mangle sqr=(6x - 25)^{circ}),…
$119^{\circ}$
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read the paragraphs that describe the figures. use words from the word …
1. Figures \(ABCD\) and \(AEFG\) are **similar** because they have the same shape. The **corresponding angles** have the same measures. The ratios of the lengths of the **correspo…
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use the unit - circle, along with the definitions of the circular funct…
$\sin(-2\pi)=0$, $\cos(-2\pi)=1$, $\tan(-2\pi)=0$
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use the unit - circle, along with the definitions of the circular funct…
A. $\sin(-2\pi)=0$
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question. the square on the right is a scaled copy of the square on the…
$\frac{3}{2}$
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point p has coordinates (-2.5, 3). point q is a reflection of point p a…
The coordinates of point $Q$ are $(-2.5,-3)$ and it is in the third quadrant.
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which statement is true about the prime polynomial 2x² + 3x + 3? it can…
It cannot be modeled with a rectangle.
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6. figure lmno is similar to figure tuvw. find the lengths of $overline…
$LM = 7.5$, $NO = 4.5$
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by the law of detachment, what can you conclude from the statement? if …
their intersection is a line
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5. in the diagram, △pqr is the image of △pqr under a dilation with cent…
4
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which statement is a valid conclusion based on the argument? if a polyg…
Therefore, the polygon has exactly five congruent angles.
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the water department for a city is deciding on which pipe configuration…
The one 8 - cm pipe can deliver more water to the residents because its cross - sectional area ($64\pi$ $cm^{2}$) is larger than the combined cross - sectional area of two 4 - cm …
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quadrilaterals that have two pairs of opposite equal sides are called p…
The first, fifth, and sixth quadrilaterals.
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choose the quadrilateral.
The orange - colored square
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which is a valid conclusion from these statements? if a quadrilateral i…
If a quadrilateral is a rhombus, then it is a parallelogram and its opposite angles are congruent.
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quadrilaterals that have one pair of parallel sides are called trapezoi…
The first, second and third quadrilaterals from the left in the yellow - colored section (as they have one pair of parallel sides).
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1 quadrilaterals that have one pair of parallel sides are called trapez…
Trapezoids
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for each pair of figures below, choose how they are related. translatio…
1. Rotation 2. None of these 3. Rotation 4. Translation
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determine a series of transformations that would map figure j onto figu…
A translation 4 units down and 2 units to the right.
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question solve for x and graph the solution on the number line below. 3…
Inequality Notation: \( x > 8 \) For the number line: Place an open circle at 8 and draw an arrow pointing to the right (towards positive infinity) to represent all values of \( x…
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find fh fh = □
$24$
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what is the area of the shaded region? write your answer as a whole num…
# Explicación: ## Paso1: Calcular el área del triángulo exterior El área de un triángulo se calcula con la fórmula $A = \frac{1}{2}bh$. Para el triángulo exterior, la base $b = 95…
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which transformation would take figure a to figure b?
Reflection over the y - axis
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what is the coordinate of the midpoint of $overline{ef}$? write your an…
$73$
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read the passage. a community park it was friday, and as she walked hom…
Samara is walking home from school on a Friday afternoon.
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multiple choice circle the best answer, and write the letter in the box…
# Breve explicación: 1. Históricamente, entre 1865 y 1900, llegaron aproximadamente 14 millones de inmigrantes a los Estados Unidos. 2. Las personas enfermas, con antecedentes pen…
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question solve for the value of p. answer attempt 1 out of 2 p =
\(p = 52\)
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for the figure below, give the following. (a) one pair of angles that f…
(a): \(\angle 1\) and \(\angle 2\) (or other valid linear pair) ### Part (b) - Vertical Angles
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determine a series of transformations that would map figure s onto figu…
A series of transformations that maps Figure \( S \) onto Figure \( T \) is a horizontal translation (shift) of 9 units to the right. (Note: If there are other possible transforma…
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graph the image of m(9, -7) after a rotation 180° clockwise around the …
The image of point $M(9,-7)$ after a 180 - degree clockwise rotation around the origin is $(-9,7)$.
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find x. o. find the measure of the indicated angle.
\(45^\circ\)
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write a two - column proof. given: m∠gfi = 127° prove: m∠efi = 33° 2. m…
$x = 11$
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name two pairs of congruent angles in the figure. justify the answer. s…
B. ∠KIL and ∠MIP according to the Congruent Complements Theorem C. ∠KIM and ∠LIP according to the Congruent Complements Theorem
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write a two - column proof of the linear pairs theorem. if ∠abc and ∠cb…
Substitution Property of Equality
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fill in the missing reasons for the proof of the theorem that all right…
4) Definition of congruent angles
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the measure of ∠rst can be represented by the expression (6x + 12)°. wh…
# Explanation: ## Step1: Set up equation Since the sum of angles around a point is 360° and we assume the right - angle is 90°, we have the equation: $(6x + 12)+(3x - 12)+90 + 78=…
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two students describe the sides of right triangle abc in relation to ∠b…
Tomas is correct, $\overline{AC}$ is opposite $\angle B$ and $\overline{BC}$ is adjacent to $\angle B$.
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given m||n, find the value of x. answer attempt 1 out of 2
$x = - 6.2$
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find the measure of the missing angles. answer attempt 1 out of 2 b = \…
\( b = 122^\circ \), \( c = 58^\circ \)
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find the distance between the two points in simplest radical form.
\(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\) (actual value depends on the coordinates of the two points)
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if $tu = 3x$, $uv=x + 8$, and $tv = 16$, what is $tu$? simplify your an…
6
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question find the distance between the two points in simplest radical f…
$15$
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name the figure below in two different ways.
# Explicación: ## Paso1: Nombre con los extremos Se puede nombrar el segmento como $\overline{CD}$ ya que los puntos $C$ y $D$ son los extremos. ## Paso2: Nombre con los extremos …
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given the triangle below, what is the length of the hypotenuse? 3 cm 5 …
B. \(\sqrt{34}\) cm
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the graph of a relation is shown. which of these values could be the sl…
$-\frac{8}{5}$, - 2
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what is the area of a circular region whose diameter is 12 centimeters?…
A. $36\pi$ square cm
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quadrilateral pqrs is rotated 90° clockwise about the origin to form qu…
0
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a square pyramid and its net are shown below. what is the surface area …
736
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consider triangle pqr. what is the length of side qr? 8 units 8√3 units…
C. 16 units
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the figure below is dilated by a factor of \\(\\frac{1}{4}\\) centered …
To plot the dilated figure, plot the points \( Q'(-\frac{3}{4},2) \), \( P'(1,1) \), \( O'(2,-2) \), and \( N'(-\frac{3}{4},-2) \) and connect them. (Note: Since this is a plottin…
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given right triangle def, what is the value of sin(e)? o $\frac{3}{5}$ …
$\frac{3}{5}$
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point c is on line segment $overline{bd}$. given $cd = 11$ and $bd = 17…
# Explicación: ## Paso1: Identificar la relación entre los segmentos Sabemos que $BD=BC + CD$. ## Paso2: Despejar $BC$ Reorganizando la ecuación, tenemos $BC=BD - CD$. ## Paso3: S…
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the triangle shown is isosceles. find the length of each side and the p…
13
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what number can you multiply each distance in the scale drawing by to f…
- First question: \(0.5\) - Second question: \(3\)
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find the missing side length. assume that all intersecting sides meet a…
11 ft
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given ( l parallel m parallel n ), find the value of ( x ).
To solve for \( x \) when \( l \parallel m \parallel n \), we use the property of parallel lines cut by a transversal: consecutive interior angles are supplementary (they add up t…
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the point k lies on the segment $overline{jl}$. find the coordinates of…
$(-20,-16)$
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solve for x and graph the solution on the number line below. -2x + 8 > …
Inequality Notation: \(x < 4\) or \(x \geq 10\) (For the number line: Plot an open circle at 4 and shade left, plot a closed circle at 10 and shade right.)
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identify two segments that are marked congruent to each other on the di…
\( FE \cong HI \) (or \( GJ \cong DK \), either pair is correct based on diagram markings)
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② if he divides his land into square fields that are \\(\\frac{1}{3}\\)…
9
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the rectangle is made of unit squares. what is the area of the rectangl…
15
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find the missing side length. assume that all intersecting sides meet a…
4 cm
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the point q lies on the segment $overline{pr}$. find the coordinates of…
$(-7,4)$
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question what is the image of (8, - 6) after a dilation by a scale fact…
$(4, - 3)$
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for the following right triangle, find the side length x. round your an…
6
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the triangle on the right is a scaled copy of the triangle on the left.…
2
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23. m∠prs = ______
$123^{\circ}$
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bonus question!!! on the graph below, draw a scaled copy of polygon q u…
You need to perform the above steps on the provided grid to draw the scaled copy of Polygon Q. Since this is a drawing task, a visual answer cannot be directly provided in this te…
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example 2 name the geometric terms modeled by each object or phrase. 8.…
Plane ### Problem 9: a tabletop
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draw a line representing the “rise” and a line representing the “run” o…
The slope of the line is \(-1\). To draw the "rise" and "run": From a point on the line, for the "rise" draw a vertical line segment of length 4 units down - ward (since rise is -…
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \( x \leq 8 \) For the number line: We would plot a closed circle at 8 (since the inequality is "less than or equal to") and draw a line to the left of 8 to r…
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describing modeling with zero pairs if you are using algebra tiles to f…
You would need to bring in zero pairs when the existing tiles for the trinomial $ax^{2}+bx + c$ cannot be arranged into a rectangle (to represent factoring) without adjusting the …
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determining characteristics of a rectangle which statement is true of a…
The perimeter of the rectangle is $(10x + 18)$ units.
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graph and label each point on the coordinate plane. l(-2, 0) m(5, 2) n(…
The points $L(-2,0)$, $M(5,2)$, $N(-4,-3)$ and $P(1,-1)$ are plotted on the coordinate - plane as described above.
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move the active vertex to change the shape of the quadrilateral and che…
All sides congruent: Yes Opposite sides congruent: Yes All angles congruent: Yes Opposite angles congruent: Yes Diagonals congruent: Yes Diagonals bisect: Yes
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which is the best approximation of the volume of a cylinder with a radi…
1,570 cubic millimeters
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find the perimeter and area of the polygon shown below. p = 60 feet, a …
$P = 80$ feet, $A = 360$ square feet
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b. what is the scale factor larissa used to dilate her sketch? explain …
The scale factor \(k=\frac{\text{length of corresponding side in dilated sketch}}{\text{length of corresponding side in original sketch}}\). We determine it by measuring or being …
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∠1 and ∠2 are vertical angles. if m∠1=(3x - 29)° and m∠2=(2x + 3)°, the…
$67^{\circ}$
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∠1 and ∠2 are vertical angles. if m∠1=(6x + 16)° and m∠2=(8x + 20)°, th…
\(-2\)
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∠1 and ∠2 are supplementary angles. if (mangle1=(3x + 20)^{circ}) and (…
\(103^{\circ}\)
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$\\angle1$ and $\\angle2$ are complementary angles. if $m\\angle1=(6x +…
$65^{\circ}$
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∠1 and ∠2 are complementary angles. if (mangle1=(5x + 27)^{circ}) and (…
\(72^{\circ}\)
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∠1 and ∠2 are vertical angles. if m∠1=(8x - 10)° and m∠2=(5x + 2)°, the…
$4$
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∠1 and ∠2 are complementary angles. if (mangle1=(5x + 27)^{circ}) and (…
\(62^{\circ}\)
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∠1 and ∠2 are vertical angles. if m∠1 = 9° and m∠2 = (4x - 19)°, then f…
$7$
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∠1 and ∠2 are supplementary angles. if (mangle1=(3x + 15)^{circ}) and (…
$81$
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which statements are true regarding quadrilateral abcd? check all that …
ABCD is a rhombus. ABCD is not a rectangle.
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∠1 and ∠2 are vertical angles. if (mangle1=(4x - 10)^{circ}) and (mangl…
\(14^{\circ}\)
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which angle number represents the linear pair of ∠sxt?
2
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if m∠fhc = 96°, then what is m∠ehd? answer attempt 1 out of 2 m∠ehd =
$96$
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which angle number represents the linear pair of ∠psl? answer attempt 2…
6
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use the coordinate plane at the right. identify the point for each orde…
To identify the points in the coordinate - plane for the ordered pairs $(-3,4)$ and $(-4,-3)$, follow the steps above to plot them on the given coordinate plane.
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which angle number represents an angle vertical to ∠vyu? answer attempt…
5
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find the distance between the points (0, -3) and (3, -5). write your an…
$\sqrt{13}$
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find the distance between the points (-5, 0) and (-3, -6). write your a…
$2\sqrt{10}$
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find the distance between the points (9, 10) and (4, 8). write your ans…
$\sqrt{29}$
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find the distance between the points (6, 9) and (1, 5). write your answ…
$\sqrt{41}$
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square drag the true statements onto the quadrilateral has four sides a…
# Explicación: ## Paso1: Analizar las propiedades de un cuadrado Un cuadrado es un cuadrilátero con cuatro lados iguales y cuatro ángulos rectos. ## Paso2: Verificar cada afirmaci…
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rhombus drag the true statements onto the quadrilateral has four sides …
# Explicación: ## Paso1: Definición básica de rombo Un rombo es un cuadrilátero. Tiene cuatro lados y cuatro ángulos. ## Paso2: Propiedades de lados Tiene cuatro lados congruentes…