幾何
三角形、円、座標幾何、証明問題。
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triangle | given side for angle | missing side for angle (x) | correct …
To solve this, we recall the trigonometric ratios: - $\boldsymbol{\cos\theta = \frac{\text{adjacent}}{\text{hypotenuse}}}$ - $\boldsymbol{\tan\theta = \frac{\text{opposite}}{\text…
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what is the main difference between a line segment and a ray? a line se…
C. A line segment has two endpoints, while a ray has only one endpoint and extends infinitely in one direction.
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in the figure below, the interior ray bisects the larger angle. what is…
25
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your answer is incorrect. the triangles below are congruent and their c…
## Corresponding Angles: - $\angle A\cong\angle Z$ - $\angle B\cong\angle Y$ - $\angle C\cong\angle X$ ## Corresponding Sides: - $\overline{AB}\cong\overline{ZX}$ (correct) - $\ov…
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current skill a circles radius is 13 millimeters. what is the circles a…
$530.7$ square millimeters
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the triangles below are congruent and their corresponding parts are nam…
(a) $\angle A \cong \angle Z$, $\angle B \cong \angle X$, $\angle C \cong \angle Y$ (b) $\overline{AB} \cong \overline{ZX}$, $\overline{AC} \cong \overline{ZY}$, $\overline{BC} \c…
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the triangles below are congruent and their corresponding parts are mar…
(a) $\angle A \cong \angle X$, $\angle B \cong \angle Z$, $\angle C \cong \angle Y$ (b) $\overline{AB} \cong \overline{XZ}$, $\overline{AC} \cong \overline{XY}$, $\overline{BC} \c…
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name: practice: 1. what is the value of w? \twhat is the value of x? 3.…
1. $w = 69^\circ$ 2. $x = 28^\circ$ 3. $y = 97^\circ$ 4. $z = 152^\circ$
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moving the points find the coordinates of each end point. label each po…
\(A'(0, - 2)\) ### For Point B to B'
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find the value of x. the triangle has angles 49°, 91°, and the exterior…
\(140\)
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d the value of x.
\(x = 71\)
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3 what is ( mangle1 )? ( mangle1 = 45^circ ) 4 what are the remaining a…
$m\angle1 = 45^\circ$ $m\angle2 = 45^\circ$ $m\angle3 = 135^\circ$ $m\angle4 = 45^\circ$
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the figure shows two parallel lines intersected by a transversal. (1) w…
$m\angle 2 = 45^\circ$ $m\angle 3 = 135^\circ$ $m\angle 4 = 45^\circ$
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the figure shows two parallel lines intersected by a transversal. what …
$45$
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what is the relationship between ∠1 and ∠2? match each figure with the …
- Top figure ↔ alternate exterior angles - Bottom figure ↔ alternate interior angles
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a triangle has a height of 3 inches and a base of 4 inches. which of th…
A. $\frac{3}{4}$, B. 3 to 4, C. 3:4
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tajiri opens a savings account. each week he adds the same amount of mo…
The change in horizontal distance is 2 (representing 2 weeks). This value labels the horizontal side of the slope triangle between the two points.
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a rectangular painting measures 10 inches by 17 inches and is surrounde…
3 inches
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the points are now connected with a line, m. find the slope of line m, …
3.5
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which equation can be used to find the length of \\(\\overline{ac}\\)? …
(10)$\sin(40^\circ)$ = AC
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law of cosines: $a^2 = b^2 + c^2 - 2bccos(a)$ which equation correctly …
$y^2 = 9^2 + 19^2 - 2(9)(19)\cos(41^\circ)$ (the fourth option)
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an acute triangle has side lengths 21 cm, x cm, and 2x cm. if 21 is one…
B. 24.2 cm
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the hypotenuse of a 45°-45°-90° triangle measures 22√2 units. what is t…
22 units (Option C)
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use the diagram to complete the statement. given △jkl, sin(38°) equals …
cos(52°)
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law of sines: \\(\frac{\\sin(a)}{a} = \\frac{\\sin(b)}{b} = \\frac{\\si…
30°
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given right triangle def, what is the value of tan(f)? option 1: \\(\fr…
$\boldsymbol{\frac{40}{9}}$ (corresponding to the third option: $\frac{40}{9}$)
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the hypotenuse of a 45°-45°-90° triangle measures 4 cm. what is the len…
$2\sqrt{2}$ cm (Option B)
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the length of a rectangle is four times its width. if the area of the r…
\( 90 \)
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which equation can be used to find the measure of angle ljk? \\( \\sin(…
$\cos(x) = \frac{10}{15}$ (the third option)
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1 of 3 juan is designing an exercise room in his house. how many square…
The total area of the exercise room is $88$ $\text{ft}^2$. Juan needs to buy 10 whole square yards of rubber flooring. - Square feet of flooring needed: $88$ - Square yards to buy…
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two teams are pulling a heavy chest, located at point x. the teams are …
$\boldsymbol{\frac{\sin(A)}{3.2} = \frac{\sin(110^\circ)}{4.6}}$ (the third option)
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law of sines: \\(\frac{sin(a)}{a} = \frac{sin(b)}{b} = \frac{sin(c)}{c}…
D. 45° and 135°
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find the measure of ∠q, the smallest angle in a triangle whose sides ha…
41°
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joey is building a frame for a sandbox. the sandbox is going to be a qu…
a quadrilateral, because angle C and angle X are obtuse
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what are the angle measures of triangle vuw? - ( mangle v = 30^circ, ma…
$m\angle V = 60^\circ, m\angle U = 90^\circ, m\angle W = 30^\circ$
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the law of cosines for △rst can be set up as $5^2 = 7^2 + 3^2 - 2(7)(3)…
s = 5 and t = 3
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a right triangle has one angle that measure 23°. the adjacent leg measu…
161.8 cm²
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triangle abc is a right triangle and \\(\\cos(22.6^\\circ)=\\frac{b}{13…
First part (value of $b$): 12 Second part (correct equation): $\boldsymbol{\tan(22.6^\circ) = \frac{a}{12}}$
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the diagonal of rectangle abcd measures 2 inches in length. what is the…
$\sqrt{3}$ inches
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which statements are true about triangle qrs? select three options. the…
- The side opposite ∠Q is $\overline{RS}$. - The hypotenuse is $\overline{QR}$. - The side adjacent to ∠R is $\overline{SQ}$.
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given right triangle abc, what is the value of tan(a)? $\\frac{5}{13}$ …
$\boldsymbol{\frac{12}{5}}$ (corresponding to the option $\boldsymbol{\frac{12}{5}}$)
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the lengths of two sides of a right triangle are 5 inches and 8 inches.…
3.2 inches
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tamara is creating a model of a rectangle. she has 26 inches of yellow …
$\boldsymbol{\begin{cases} 2l + 2w = 26 \\ l = w + 3 \end{cases}}$ (the third option)
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the shape is cut into 8 equal parts. shade \\(\frac{1}{4}\\) of the sha…
Shade 2 of the 8 equal parts of the circle. (In the diagram, select 2 of the 8 slices to shade using the shading tool.)
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word search directions. find and circle the vocabulary words in the gri…
- **ABRAM**: Fila 2, columnas 16-20 (derecha a izquierda: `R E S U K` al revés es `K U S E R`? No, corrección: Fila 2, columnas 13-17 al revés: `K U S E R` no, busqueda correcta: …
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10. write an inequality describing the range of x for each pair of tria…
10a. $x > 6$ 10b. $2 < x < 7$ 11a. $6.25 < x < 25$ 11b. $x > 20$ 12a. $x > 12$ 12b. $-8.5 < x < 11$
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7. kayak a and kayak b leave a dock as shown. which kayak is closer to …
Kayak B is closer to the dock.
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35. solve for ( x ) and graph the solution on the number line below. ( …
The solution is $x > 8$. For the number line: 1. Place an open circle at the mark labeled 8. 2. Draw a solid arrow starting at the open circle and extending to the right along the…
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a(n) _______________ of a triangle is the line segment from a vertex to…
A. altitude
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when two triangles are similar, their corresponding sides are: a. perpe…
d. Proportional ### Second Question (Which term describes triangles that have the same shape but different sizes? )
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a _______________ is a segment that goes from the vertex to the midpoin…
B. median
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question 2 listen a ____________ ______________ is a line, segment, or …
C. perpendicular bisector
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the slope formula is used to find the steepness of a line. which of the…
a. \(\frac{y_2 - y_1}{x_2 - x_1}\) ### Second Question:
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how many lines of symmetry does this shape have?
1
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how many lines of symmetry does this regular polygon have?
8
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4. given: ∠n and ∠q are right angles; (overline{no} cong overline{pq}) …
### Problem 4 (Proving $\triangle ONP \cong \triangle PQO$) # Explanation: ## Step 1: Identify Right Triangles From the given right angles, $\triangle ONP$ and $\triangle PQO$ are…
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how many lines of symmetry does this regular polygon have?
5
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how many lines of symmetry does this regular polygon have?
7
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what is the sum of the measures of the interior angles of a nonagon? en…
\( 1260 \)
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how many lines of symmetry does this regular polygon have?
6
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what transformation is represented by the rule ((x, y) \to (x - 9, y + …
A. translation 9 units to the left and 2 units up
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how many lines of symmetry does this rhombus have?
2
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what is the perimeter? 6 yd 6 yd 4 yd blank yards save answer skip to n…
16 yards
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what is the area of the parallelogram? 0.8 yd. 0.7 yd. 0.5 yd. square y…
0.35 square yards
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what is the perimeter of this rectangle? 2 cm 5 cm centimeters save ans…
14
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find the volume of each solid. round to the nearest hundredth. show you…
1. $420\ \text{m}^3$ 2. $512\ \text{ft}^3$ 3. $256\ \text{cm}^3$ 4. $300\ \text{yd}^3$ 5. $122.5\ \text{ft}^3$ 6. $83.33\ \text{mm}^3$ --- ### Second Section (Spelling Corrections)
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** this is a 2 - page document! ** 1. if $overline{rt}$ bisects $overli…
1. $ST=23$, $RU=8$, $SV=5$, $SU=10$ 2. $x=4$ 3. $x=18$ 4. $MN=71$ 5. $CD=48$ 6. $JL=34$ 7. $x=7$, $y=12$, $PQ=29$, $QR=29$, $PS=32$, $SR=32$, $PT=18$, $PR=36$
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angle bisectors: solve for x and y. 4. given: \\(\\overline{at}\\) bise…
\( x = 52 \), \( y = 256 \) ### Problem 5:
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find u. write your answer as a whole number or a decimal. do not round.…
$u=6$ meters
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find r. write your answer as a whole number or a decimal. do not round.
5
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name the marked angle in 2 different ways.
1. $\angle EBC$ 2. $\angle B$
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name the figure below in two different ways. symbol: and
$\overline{DY}$ and $\overline{YD}$
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given ( m parallel n ), find the value of ( x ).
$17$
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question draw a line representing the ise\ and a line representing the …
The slope of the line is \(\boldsymbol{-\frac{3}{10}}\)
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sort the figures based on the number of sides. 3 sides, 4 sides, 5 side…
- 3 Sides: The two triangular figures (the non - right - angled triangle and the right - angled triangle). - 4 Sides: The square, the trapezoid - like quadrilateral, and the other…
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drag each figure to the correct location in the table. sort the figures…
- Does Not Have Parallel Sides: U, W, Y - Has Parallel Sides: V, X, Z
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the two triangles below are similar. also, ( mangle d = 15^circ ) and (…
\(m\angle R = 105^\circ\), \(m\angle S = 15^\circ\), \(m\angle T = 60^\circ\)
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(-\frac{1}{2}\)
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(-3\)
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26. your teacher assigns your class a homework problem that asks you to…
B. Linear Pair Postulate
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18. what is the perimeter of $\\triangle qts$?
The perimeter of \( \triangle QTS \) is \( \boldsymbol{16} \).
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below are the steps for constructing the circumscribed circle of a tria…
3, 5, 2, 4, 1 (corresponding to the option "3, 5, 2, 4, 1")
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10. which of the following similarity transformations map $\\triangle a…
A. translation 1 unit right and 2 units up, followed by a dilation with scale factor 2 C. dilation with scale factor 2, followed by a translation 2 units right and 1 unit up (note…
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8. what are the vertices of the image of \\(\\triangle xyz\\) after a r…
First, we identify the coordinates of the vertices of \(\triangle XYZ\) from the graph. Let's assume: - \(X(-1, 3)\) (from the graph, as it's on the line with \(x = -1\) and \(y =…
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3. use the diagram below to answer the following question. a sprinkler …
B. 50.24
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1. darrel drew the circle below. what is the approximate circumference …
B. 22 inches
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problem 8 (fill in the blank) : rewrite the following equation for a qu…
(Problem 8): Standard form of the equation: $-\frac{x^2}{25} + \frac{y^2}{4} + \frac{z^2}{100} = 1$ Name of the quadric surface: Hyperboloid of one sheet ---
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problem 7 (fill in the blank) : name the following quadric surface and …
Name of the quadric surface = Elliptic Paraboloid Axis of the quadric surface = z-axis
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16. write the system of equations represented by this graph.
The system of equations is $\begin{cases} y = x + 3 \\ y = -2x + 3 \end{cases}$
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problem 6 (fill in the blank) : calculate the shortest distance between…
$\sqrt{3}$
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problem 1 (fill in the blank) : write the vector equation and the param…
## Problem 1 Vector equation: $\boldsymbol{\vec{r}(t) = \langle 1,-1,2 angle + t\langle -2,3,-4 angle}$ (or $\boldsymbol{\vec{r}(t) = (1 - 2t)\hat{i} + (-1 + 3t)\hat{j} + (2 - 4t)…
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what is the volume of the sphere in terms of \\(\\pi\\)? \\(v = \\squar…
36
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noah is working on a geometry problem that involves finding the volume …
No, Noah used the diameter instead of the radius in the calculations.
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analyzing statements about a right cone which statements are true? chec…
- The radius of the cone is 9 units. - The height of the cone is 12 units. - The volume of the cone is represented by the expression \( \frac{1}{3}\pi(9)^{2}(12) \).
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calculator what is the area of this polygon? 42.5 units² 41.5 units² 35…
41.5 units²
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what is the area of this polygon? enter your answer in the box. \\boxed…
58 units²
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set up an equation to solve for x. the triangle has angles: (x - 10)°, …
$\boldsymbol{x - 10 + 2x + 5 + 35 = 180}$
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find the perimeter of the polygon if $\\angle b \\cong \\angle d$. a 10…
46
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an ---------- triangle is a triangle with one obtuse angle and two acut…
Obtuse Triangle
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use the triangle shown on the right and the given information to solve …
\(b\approx19.30\), \(B = 65^{\circ}\), \(c\approx21.29\) (If we only consider the value of \(b\) as asked in the box first, \(b\approx19.30\))