幾何
三角形、圓、解析幾何與證明題。
-
previously, you learned about powers of numbers. in this lesson, you wi…
The possible areas are \( 4\ \text{in}^2 \) (with side length \( 2\ \text{in} \)) and \( 9\ \text{in}^2 \) (with side length \( 3\ \text{in} \)). The areas \( 8\ \text{in}^2 \) an…
-
part a ∠adb and ∠bdc represent a linear pair because points a, d, and c…
The sum of $m\angle ADB$ and $m\angle BDC$ is $180^\circ$. As point B is moved around, the sum of the measures of the two angles remains $180^\circ$ (constant) because they always…
-
1. a. draw a right angle. how do you know its a right angle?
To draw a right angle: Use a set square (or draw two perpendicular lines, e.g., one horizontal and one vertical line intersecting at a point). We know it's a right angle because a…
-
the figure is not drawn to scale. sam claims that the length of (overli…
Sam's claim is **not necessarily true**. The Triangle Midsegment Theorem requires \( \overline{UX} \) to connect the midpoints of the other two sides of the triangle to be half th…
-
circle the whole numbers. explain your reasoning.
Circle 9, $\boldsymbol{\frac{4}{4}}$, and 1.00000. All are whole numbers: 9 is integer ≥0; $\frac{4}{4}=1$ (integer ≥0); 1.00000 = 1 (integer ≥0).
-
plot numbers on the complex plane plot -2 in the complex plane. remove …
To plot \( -2 \) (which is \( -2 + 0i \)) on the complex plane: - The real part is \( -2 \), so move to \( x=-2 \) on the real (horizontal) axis. - The imaginary part is \( 0 \), …
-
tu ≅ qv, st ≅ qr, and uv ≅ rs. complete the proof that δstu ≅ δrqv.
| Statement | Reason | |-----------|--------| | $\overline{TU} \cong \overline{QV}$ | Given | | $\overline{ST} \cong \overline{QR}$ | Given | | $\overline{UV} \cong \overline{RS}$…
-
complete the proof that $\\triangle pqr \\cong \\triangle prq$. | state…
1. Reason: Given 2. Reason: Reflexive Property of Congruence 3. Reason: Side-Angle-Side (SAS) Congruence Postulate
-
statement reason 1 $\\angle svt \\cong \\angle quw$ given 2 $\\overline…
6. Substitution Property of Equality 7. Transitive Property of Equality 8. Angle-Angle-Side (AAS) Congruence Postulate
-
6. determine which of the lines, if any, are parallel or perpendicular.…
Line b and Line c are parallel. Line a is perpendicular to Line b and Line a is perpendicular to Line c. ### Problem 7 First, identify the lines by their points: - Let's assume th…
-
graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\) coo…
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(2,0)$, $(-2,0)$, $(0,3)$, and $(0,-3)$, connected by a smooth oval curve.
-
graph each equation. 9) \\(dfrac{x^2}{4} + dfrac{y^2}{9} = 1\\)
To graph \(\frac{x^2}{4}+\frac{y^2}{9}=1\): 1. Recognize it as an ellipse with center \((0,0)\), vertical major axis (since \(a = 3\), \(b = 2\), \(a>b\)), vertices at \((0,\pm3)\…
-
graph each equation. 9) \\(dfrac{x^2}{4} + dfrac{y^2}{9} = 1\\)
The graph is an ellipse with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a smooth, closed curve centered at the origin.
-
graph each equation. 9) \\(dfrac{x^2}{4} + dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertical elongated oval shape passing…
-
find the value of x, y and z in the rhombus below. the rhombus has side…
\(x = \boldsymbol{0.5}\), \(y=\boldsymbol{\frac{92}{7}}\) (or approximately \(13.14\)), \(z=\boldsymbol{-\frac{5}{3}}\) (or approximately \(-1.67\)) Wait, but maybe I made a mista…
-
triangle abc undergoes a series of transformations to make triangle abc…
A. A rotation of triangle ABC by 60°, followed by a reflection over the line x = 3, will result in triangle ABC being congruent to triangle A'B'C' D. A dilation of triangle ABC by…
-
parallelogram abcd is shown below. thalia is using triangle congruence …
A. Triangles ABE and CDE are congruent to each other.
-
triangle efg is an isosceles triangle. the figure is not drawn to scale…
$62.5^\circ$
-
settle a dispute jenna and monroe are having an argument. jenna insists…
Monroe is right. The left end of the graph has an open circle at \( x = -1 \) (so \( x > -1 \)), and the right end has a closed dot at \( x = 2 \) (so \( x \leq 2 \)). Thus, the d…
-
paige says that both red lines are lines of symmetry. is she correct? w…
Yes, because the halves match when the figure is folded along either line.
-
which of the lines shown is a line of symmetry? line a line b line c al…
All of these
-
find y. 11 yd write your answer in simplest radical form. yards
$11\sqrt{2}$ yards
-
graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin \((0,0)\) with vertices at \((0,3)\) and \((0, - 3)\) and co - vertices at \((2,0)\) and \((-2,0)\), and the ellipse is drawn by con…
-
find p. 3√2 cm 45° 45° p write your answer in simplest radical form. ce…
3 centimeters
-
find the measure of the three missing angles in the rhombus below. 107°…
$x = 120$, $y = 60$, $z = 60$
-
abby drew a scale drawing to represent her living room. the drawing is …
11.5 cm
-
this scale drawing shows a reduction in a figure. what is the value of …
$x = 0.9$
-
this scale drawing shows an enlargement in a figure. what is the value …
$5.6$
-
the first figure is dilated to form the second figure. which statement …
The scale factor is 1.25
-
what scale factor was applied to the first rectangle to get the resulti…
0.2
-
10. a die, in the shape of a cube, was unfolded into the following net.…
C. \( 150\space cm^2 \)
-
7 the net of a rectangular prism and its dimensions in inches are shown…
C. The total surface area is 64 square centimeters.
-
3) translation: 8 units right and 7 units up 4) translation: 1 unit rig…
s (Final Coordinates): - **Problem 3**: \( D'(2, 5) \), \( E'(3, 5) \), \( C'(3, 2) \) (or as per exact original graph[SSE onError error]
-
write a rule to describe each transformation. 7) 8) find the coordinate…
Let's solve problem 9 first (we can solve other problems similarly following the translation rule for coordinates: for a translation of \( h \) units right and \( k \) units up, t…
-
1. there are three pairs of congruent faces. label one pair “a”, one pa…
- Area of A: \( 2(2)(1\frac{1}{8}) = 4\frac{1}{2}\space cm^{2} \) (close to the given \( 4\frac{1}{4} \), possible typo) - Area of B: \( 2(2)(2)=8\space cm^{2} \) - Area of C: \( …
-
graph the line $y = -6$.
To graph \( y = -6 \), draw a horizontal line (parallel to the \( x \)-axis) that passes through the point \( (0, -6) \) (and all other points with \( y = -6 \)) on the coordinate…
-
graph the line $y = 1$.
To graph \( y = 1 \), draw a horizontal line parallel to the \( x \)-axis that passes through all points where the \( y \)-coordinate is 1 (e.g., \( (0, 1) \), \( (2, 1) \), \( (-…
-
graph the line ( y = 2 ).
A horizontal straight line passing through all points where the $y$-coordinate is 2, parallel to the $x$-axis, spanning the entire grid.
-
graph the line ( x = -8 ).
A vertical straight line passing through the point $(-8, y)$ for all real numbers $y$, aligned with the $x=-8$ mark on the coordinate grid.
-
using trigonometry to find lengths find the missing side. round to the …
For problem 1, the missing side \( x \approx 9.8 \) (rounded to the nearest tenth). (If you want solutions for other problems, please clarify the details of each triangle, like wh…
-
find the sum of the first 8 terms of the following geometric sequence: …
\(6560\)
-
find the sum of the first 7 terms of the following geometric sequence: …
\(58593\)
-
find the sum of the first 8 terms of the following geometric sequence: …
The sum of the first 8 terms is \(6560\).
-
find the sum of the first 6 terms of the following geometric sequence: …
\(184.46\)
-
find the slope of each line shown on the graph to the right. the slope …
\(\frac{1}{2}\)
-
find the slope of the line passing through the pair of points or state …
A. The slope is \( 0 \).
-
warm-up a given line has the following equation: ( y = 3x - 5 ) drag ea…
### same as given line $3x - y = 5$ ### parallel to given line $3x - y = -5$ ### perpendicular to given line $x + 3y = -15$
-
use the figure below to list the slopes ( m_1, m_2, m_3, ) and ( m_4 ) …
\( m_4, m_1, m_2, m_3 \) (corresponding to the second option: \( m_4, m_1, m_2, m_3 \))
-
find the length of the third side. if necessary, write in simplest radi…
$2\sqrt{21}$
-
find the length of the third side. if necessary, write in simplest radi…
10
-
find the area of each figure, round your answer to the nearest whole nu…
1) $\boldsymbol{4248 \, \text{cm}^2}$ 2) $\boldsymbol{421 \, \text{ft}^2}$ 3) $\boldsymbol{12 \, \text{m}^2}$ 4) $\boldsymbol{75 \, \text{in}^2}$ 5) $\boldsymbol{312 \, \text{yd}^…
-
1. find the measures of the numbered angles in rhombus abcd. m∠1 = m∠2 …
\( m\angle 1 = \boxed{90}^\circ \) \( m\angle 2 = \boxed{23}^\circ \) \( m\angle 3 = \boxed{23}^\circ \) \( m\angle 4 = \boxed{67}^\circ \)
-
gabby made a scale drawing of the town library. she used the scale 1 ce…
16
-
nancy drew a scale drawing of a petting zoo. the goat pen, which is 9 m…
3
-
susanne drew a scale drawing of an italian restaurant. the restaurant’s…
1 millimeter : 6 meters (or in the box, we can put 6 since the question is asking for how many meters correspond to 1 millimeter, so the answer is 6)
-
6. what is the area of the following rectangle?\\(2x - 6\\)\\(x^2 + 1\\)
The area of the rectangle is \( 2x^{3}-6x^{2}+2x - 6 \)
-
dan made a scale drawing of a summer camp. the scale of the drawing was…
15
-
judith drew a scale drawing of the auditorium. she used the scale 1 inc…
32
-
5. what is the area of the following rectangle? 2x + 5 3x + 1
The area of the rectangle is \( 6x^2 + 17x + 5 \).
-
go to the website listed here → goo.gl/wkq01) skip down the page until …
28. inherent to Indigenous Peoples 29. nation-to-nation; sacred; colonial/government-imposed 30. Share the land (not surrender it) while retaining inherent rights to their territo…
-
find the equation of the line. use exact numbers. for a negative y-inte…
$y = -\frac{7}{2}x+7$
-
8. find the measure of each unknown angle
$\angle A = 120^\circ$, $\angle C = 144^\circ$, $\angle F = 107^\circ$
-
the first line in the system of equations is graphed on the coordinate …
The solution to the system of equations is \(x = 4,y=-3\) or the ordered pair \((4,-3)\).
-
4. in the rhombus shown, $\\angle 2 = 3x$, find the value of $x$. \ \\b…
C. 30
-
3. in the rhombus shown, find the measure of ∠3. a. 90 b. 45 c. 180 d. …
A. 90
-
17. the treaties that were negotiated and signed in the past not partic…
17. FALSE 18. Rupert's Land; North-Western Territory 19. secure land surrenders; agricultural; settlement; rights; the Queen 20. - Reserve lands for their community use - One-time…
-
13. figure bcde and point o are shown. a. draw and label the image of f…
a. (Drawn figure: Quadrilateral \(B'C'D'E'\) smaller than \(BCDE\), centered around \(O\), with each vertex on the line from \(O\) to the original vertex, \(\frac{1}{4}\) the dist…
-
graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\) coo…
The graph is a vertical ellipse with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a smooth oval shape centered at the origin $(0,0)$.
-
7. find x. the figure is a nonagon (9 - sided polygon) with the followi…
$x=\frac{1536}{31}$ or approximately $49.55$
-
8. consider $\\triangle jkl$ and $\\overrightarrow{ab}$. a. draw and la…
$x = 2$ --- ### Problem 10: $8x - 5 = 83$ ## Step1: Add 5 to both sides $8x - 5 + 5 = 83 + 5$ $8x = 88$ ## Step2: Divide by 8 $x = \frac{88}{8}$
-
the graph of $y = f(x)$ is shown below. which point could be used to fi…
A
-
2) one jar of sun - dried tomatoes costs $4. how many jars of sun - dri…
5 ### Problem 4
-
10. what is the difference between treaty 6 and treaty 7? (1 mark) 11. …
10. Treaty 6 included a medical assistance provision (for a smallpox outbreak) and covered a larger, agricultural Prairie region, while Treaty 7 covered a smaller southern Prairie…
-
3. jada pinta una mesa circular que tiene un diámetro de 37 pulgadas. ¿…
El área de la mesa es aproximadamente 1075.21 pulgadas cuadradas, o exactamente $342.25\pi$ pulgadas cuadradas.
-
select the correct answer. prove: intersecting line segments always for…
The third option (the image with points \( X \), \( O \), \( B \) and \( O \) connected to \( B \), \( X \) connected to \( O \))
-
error analysis amy needs to find each angle in this figure that is adja…
B. $\angle LOM$ H. $\angle KOL$
-
error analysis dexter needs to find each angle in this figure that is a…
G. $\angle POQ$ H. $\angle NOP$ Dexter's claim is incorrect because there is a second angle ($\angle NOP$) adjacent to $\angle NOQ$ that he failed to identify.
-
problemas de práctica de la lección 8 1. la imagen muestra a un círculo…
Al reorganizar los sectores del círculo en una figura similar a un paralelogramo, su base es $\pi r$ (mitad de la circunferencia) y su altura es $r$ (radio del círculo). Al calcul…
-
points k, l, m, and n are shown on the number line below. which point o…
Point L
-
7. draw and label the image of figure mnop under the following sequence…
The final image is quadrilateral $M'''N'''O'''P'''$, created by first dilating MNOP by scale factor $\frac{2}{3}$ with center $O$, reflecting the result across line $\ell$, then t…
-
infinite algebra 1 multi - step inequalities solve each inequality and …
1. $n < -1$ (Graph: Open circle at -1, arrow left) 2. $x < 1$ (Graph: Open circle at 1, arrow left) 3. $p < 2$ (Graph: Open circle at 2, arrow left) 4. $k \leq \frac{18}{7}$ (Grap…
-
which of the following will map $\\triangle abc$ onto $\\triangle abc$?…
reflection in the x-axis
-
15. find the values of x and y. (18y + 5)° (10x - 61)° (x + 10)°
# Explanation: ## Step1: Solve for \( x \) using vertical angles Vertical angles are equal, so \( 10x - 61 = x + 10 \). Subtract \( x \) from both sides: \( 9x - 61 = 10 \). Add 6…
-
calculator what is the measure of ∠j to the nearest degree? 45° 55° 70°…
45°
-
what is the area of the trapezoid? 16 cm 6 cm 32 cm 133 cm² 98 cm² 145 …
144 cm²
-
find the area of this triangle. 7 9.2 6 25 42 21 10
21
-
what is the area of $\\triangle abc$ if $h = 12$ and $ac = 5$? (options…
15
-
in the diagram shown, abcd is an isosceles trapezoid with altitude \\(\…
228 units²
-
this drawing is an example of a ______. options: translation reflection…
reflection
-
calculator what is the measure of $\\angle c$, to the nearest degree? $…
43°
-
challenge the vertices of δabc are a(-5,5), b(-2,4), and c(-4,2). δabc …
A
-
calculator what is the value of x? enter your answer as a decimal in th…
$16.3$ cm
-
what is the equation of the line graphed? y x \\( y = -\frac{2}{3}x - 2…
$y = -\frac{2}{3}x - 2$
-
the vertices of $\\triangle abc$ are $a(-5, 4)$, $b(-2, 4)$, and $c(-4,…
\((4,2)\)
-
reasoning one image of $\\triangle abc$ is $\\triangle abc$. how do the…
A. The y - coordinates of the vertices are unchanged in the image. ### What type of reflection is the image $\triangle A'B'C'$?
-
what is the perimeter of this red polygon? 2 cm 3 cm 4 cm 4 cm ? cm
\( 13 + 3\pi \) (or approximately 22.42) cm. But if we take \( \pi \approx 3.14 \), then \( 13 + 3 \times 3.14 = 13 + 9.42 = 22.42 \) cm. However, maybe the correct answer is 22.4…
-
given the graph shown, which line contains point c? y = x - 3 y = \\fra…
$y = \frac{1}{3}x + 3$
-
which expression can be used to find the value of x? ○ \\(\\frac{(\\sin…
\(\frac{11(\sin 32^{\circ})}{\sin 47^{\circ}}\) (the fourth option)
-
calculator what is the length of \\\\(\\overline{st}\\\\), to the neare…
B. 6.1 yd
-
reasoning one image of $\\triangle abc$ is $\\triangle abc$ how do the …
B. The x - coordinates of the vertices are the same distance away from the y - axis but in the opposite direction ### For the y - coordinate change question: