Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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current skill $\\$ what is the value of x? $82^circ$ x label optional
$98^\circ$
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what is the area of the shaded region? 11.4 yd 9 yd square yards
\( 51.3 \)
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what is the missing length? 4.5 mi area of shaded region = 9 mi² t = \\…
\( t = 4 \) miles
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a side of the triangle below has been extended to form an exterior angl…
\(x = 54\)
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what is the area? 8 cm 17.5 cm 16.5 cm square centimeters
\( 214.375 \)
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what is the missing length? 18.2 m c area = 126.49 m²
The missing length \( c \) is \( 13.9\space m \).
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a side of the triangle below has been extended to form an exterior angl…
\(x = 52^\circ\)
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what is the measure of $\\angle ijg$, in degrees?
$115^\circ$
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what is the missing length? 4 mi v area = 11.6 mi²
The missing length \( v \) is \( 5.8 \) miles.
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136° answer attempt 1 out of 2 x = submit answer
\(46\)
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question 14 which of the following pairs of lines are parallel? lines w…
Lines with slopes m1=3 and m2=3
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a side of the triangle below has been extended to form an exterior angl…
\(x = 44\)
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find the area. use 3.14 or a calculator button for pi and provide an an…
$201.0$ square feet
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what is the missing length? 4 mi v area = 11.6 mi²
5.8 miles
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10.9 mm 17 mm square millimeters
92.65 square millimeters
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question what is the slope of the line that passes through the points (…
B. 2
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question 9 a square is plotted with its vertices at (1, 1), (1, 5), (5,…
B. 16 units
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question 8 what is the area of a triangle with vertices at (0, 0), (4, …
6 square units
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what is the area of this figure? provide an answer accurate to the near…
230.0 yd²
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question 7 find the distance between the points (5, -2) and (-1, -2) ○ …
○ 6
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graph a right triangle with the two points forming the hypotenuse. usin…
The distance between the two points is approximately \( 2.8 \).
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in the figure below, the interior ray bisects the larger angle. what is…
The value of $x$ is 25, and the measure of $\angle ADB$ is $50^\circ$
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the base of a solid oblique pyramid is an equilateral triangle with a b…
14 units (Option: 14 units)
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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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a solid oblique pyramid has an equilateral triangle as a base with an e…
\( 16\sqrt{3}\space cm^{3} \) (corresponding to the option \( 16\sqrt{3}\space cm^{3} \))
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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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use the diagram to complete the statement. given △jkl, sin(38°) equals …
cos(52°)
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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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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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find the measure of ∠q, the smallest angle in a triangle whose sides ha…
41°
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question draw a line representing the ise\ and a line representing the …
The slope of the line is \(\frac{3}{4}\).
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find r. write your answer as a whole number or a decimal. do not round.
5
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d the value of x.
\(x = 71\)
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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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solve for q and graph the solution. 8 ≥ |q + 3| + 4 click two endpoints…
The solution for \( q \) is \( -7 \leq q \leq 1 \). To graph this, we would plot a line segment on the number line with endpoints at \( -7 \) (closed circle, since the inequality …
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what is the surface area of this rectangular pyramid? 9.7 cm 9.1 cm 9.1…
\( 259.35 \)
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question 5 find the distance between the points (1, 2) and (4, 6). ○ 7 …
○ 5
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question 4 what is the midpoint of the segment with endpoints (2, 6) an…
B. (5, 5)
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question 3 how many points are needed to define a unique line? two dist…
A. Two distinct points
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question 2 if points a and b are endpoints of a line segment, what is t…
Segment AB or BA
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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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graph a right triangle with the two points forming the hypotenuse. usin…
The distance between the two points is approximately 9.5.
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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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graph a right triangle with the two points forming the hypotenuse. usin…
The distance between the two points \((5,8)\) and \((9,4)\) is approximately \(5.7\).
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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.
\(x = 140\)
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find the value of x. the triangle has angles 49°, 91°, and the exterior…
\(140\)
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the figure shows a transversal that intersects two parallel lines. none…
congruent
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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. 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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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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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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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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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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graph the solution to the inequality on the number line.\\(|w + 2| > 8|…
The solution to the inequality \(|w + 2|>8\) is \(w < - 10\) or \(w>6\). On the number line, there is an open circle at \(-10\) with shading to the left and an open circle at \(6\…
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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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graph the solution to the inequality on the number line.\\(|u - 5| < 5\…
The solution to the inequality \(|u - 5| < 5\) is \(0 < u < 10\). On the number line, there are open circles at 0 and 10, with a line segment between them.
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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?
5
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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?
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