Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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find the length of side $x$ to the nearest tenth. (right triangle with …
15.6
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1) dilate a using p as the center of dilation and a scale factor of 3. …
1. Point $A'$ is located 3 concentric circles away from center $P$, along the same radial line as point $A$. 2. Point $B'$ is located 4 concentric circles away from center $P$, al…
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express \\(\\cos w\\) as a fraction in simplest terms. triangle image w…
\( \boxed{\dfrac{\sqrt{42}}{18}} \)
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the figure below is a square. find the length of side $x$ to the neares…
0.7
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find the length of side $x$ to the nearest tenth. (there is a right tri…
$x \approx 12.7$
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express cos a as a fraction in simplest terms. right triangle abc with …
$\frac{24}{25}$
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find the perimeter of rhombus efgh. draw rhombus efgh with side ef labe…
108
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find the length of side $x$ to the nearest tenth. (there is a right tri…
$1.1$
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the figure below is a square. find the length of side $x$ to the neares…
0.7
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find the length of side x to the nearest tenth.
8.5
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to the nearest hundredth, if necessary. 3) volume: (image of a cylinder…
\( \approx 2412.74 \, \text{mm}^3 \) ### Problem 6 (Cylinder with \( r = 6 \, \text{cm}, h = 8 \, \text{cm} \))
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the triangle below is isosceles. find the length of side $x$ to the nea…
$1.7$
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find the length of side $x$ to the nearest tenth. triangle image: right…
2.1
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in parallelogram pqrs, ( mangle qtr = 57^circ ), ( mangle pqs = 17^circ…
$40^\circ$
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part a indicate whether each point is located in quadrant i, quadrant i…
To solve this, we analyze each point based on the sign of its \(x\)- and \(y\)-coordinates: ### Point \(P(2, 5)\) - \(x = 2>0\), \(y = 5>0\) - Quadrant I (both \(x,y\) positive) #…
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igure. round answers to the nearest hundredth, if necessary. 2) 12 mm 6…
\( 113.10 \text{ mm}^3 \) (or \( 36\pi \text{ mm}^3 \)) ### Problem 5: Volume of Cone (6 in radius, 14 in height)
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find the length of side x to the nearest tenth. (there is a right trian…
$4.6$
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find the length of side x to the nearest tenth. triangle with right ang…
$1.9$
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find the length of side x to the nearest tenth. (image of a right isosc…
$2.3$
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find the length of side x to the nearest tenth. (right triangle with le…
$2.2$
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select the correct answer from each drop - down menu given: $\\angle ao…
1. First dropdown: $\boldsymbol{\angle AOB \cong \angle COD}$ 2. Second dropdown: $\boldsymbol{\angle EOF \cong \angle DOE}$ 3. Third dropdown: $\boldsymbol{\angle AOB cong \angle…
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find the length of side ( x ) to the nearest tenth. (there is a right -…
$x = 2.0$
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select the correct answer from each drop - down menu. how are rays and …
A ray is part of a line that has an endpoint and extends infinitely in one direction, and an angle is not related to the length of its sides. So, the measure of an angle depends o…
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select the correct answer from each drop - down menu. how are rays and …
A ray **has one endpoint and extends infinitely**, and an angle is two **rays with a common endpoint**. The measure of an angle **is not** related to the length of its sides. So, …
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select the correct answer from each drop - down menu given: $\\angle ao…
1. First dropdown: $\boldsymbol{\angle AOB \cong \angle COD}$ 2. Second dropdown: $\boldsymbol{\angle EOF \cong \angle DOE}$ 3. Third dropdown: $\boldsymbol{\angle AOB cong \angle…
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22. a 180° rotation of point (4, -1) around the origin gives: a. (-4,1)…
a. \((-4,1)\) ### Question 23
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3 which statement is not one of the axioms of euclidean geometry? a. gi…
D. If two planes intersect, their intersection is a point.
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which greek mathematician is known as the father of geometry? a. pythag…
C. Euclid
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which graph represents $x \ eq 4$? a. open circle at 4 with shading on …
a. Open circle at 4 with shading on both sides
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drag the tiles to the boxes to form correct pairs. match the mathematic…
- regarded as the father of geometry ↔ Euclid - Thales ↔ a Greek philosopher who contributed to five theorems of elementary geometry - Hippocrates ↔ a Greek geometer who has a the…
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can you show that this quadrilateral is a parallelogram? 81 74 yes no
no
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the triangle below is equilateral. find the length of side x in simples…
\(\frac{11\sqrt{3}}{3}\)
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find the value of w that makes quadrilateral defg a parallelogram. (the…
$w = \frac{121}{3}$ or approximately $40.33^\circ$
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can you show that this quadrilateral is a parallelogram? image of a qua…
yes
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can you show that this quadrilateral is a parallelogram? image of a qua…
no
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can you show that this quadrilateral is a parallelogram? image of a qua…
yes
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can you show that this quadrilateral is a parallelogram? 44° 142° yes no
no
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find the missing side of each triangle. round your answers to the neare…
3) $x \approx 6.4$ 4) $x = 40$ 5) $\cos A = 0.8000$ 6) $\tan X \approx 1.3333$ 7) $\tan C \approx 0.2917$ 8) $\sin A \approx 0.8824$
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the figure shows the terminal ray of angle $\\theta$, in standard posit…
A. $g(\omega) < g(\theta)$
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graph the reflected image or determine the points of the reflected imag…
To solve these reflection problems, we use the rules for reflecting points over different lines: ### 5) Reflection across \( y = x \) The rule for reflecting a point \((x, y)\) ac…
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dn - reflection of geometric figures identify the reflection line. 1) 2…
x - axis (or \( y = 0 \)) ### Problem 2:
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3 muna is making a scale drawing of a gecko. the gecko is $\frac{1}{2}$…
a. 10 inches b. The ratio of length to width for the actual gecko is 10, and the ratio of length to width for the drawing is also 10, so the answer is correct.
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semester 1: unit 4 exam review domain & range domain: (square leq x leq…
Domain: $\boldsymbol{0 \leq x \leq 14}$ Range: $\boldsymbol{0 \leq y \leq 80}$
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find gi. write your answer as an integer or as a decimal rounded to the…
\( 3.3 \)
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find st. right triangle rst with right angle at r, rt = 4.4, angle at s…
8.1
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find uv. u √5 70° w v write your answer as an integer or as a decimal r…
1.6
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find fg. write your answer as an integer or as a decimal rounded to the…
\( 3.7 \)
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2. name the missing coordinates. image of a rectangle on a coordinate p…
$Q(-3b,a)$, $S(3b,0)$, $T(-3b,0)$
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1. name the missing coordinates. a(-a, c) b(a, b) o x c(?, ?) d(?, ?) g…
$C(a, -b)$, $D(-a, -c)$
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given: abcd is a rhombus and \\(\\overline{fc} \\cong \\overline{ec}\\)…
The reason for \( \overline{DF} \cong \overline{BE} \) is "If \( \overline{DC} \cong \overline{BC} \) and \( \overline{FC} \cong \overline{EC} \), then \( \overline{DC}-\overline{…
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given: abcd is a rhombus and \\(\\overline{fc} \\cong \\overline{ec}\\)…
CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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given: abcd is a rhombus and \\(\\overline{fc} \\cong \\overline{ec}\\)…
The reason for \( \overline{DF} \cong \overline{BE} \) is "If \( \overline{DC} \cong \overline{BC} \) and \( \overline{FC} \cong \overline{EC} \), then \( \overline{DC}-\overline{…
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which of the following describes the transformation from the preimage t…
A reflection over the x - axis
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which of the following describes the transformation from the preimage t…
A reflection over the y - axis
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given: abcd is a rhombus and \\(\\overline{fc} \\cong \\overline{ec}\\)…
CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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which image shows the preimage reflected over the y - axis? options: im…
Image C
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which of the following describes the transformation from the preimage t…
A reflection over the x - axis (the option with "A reflection over the x - axis")
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which of the following describes the transformation from the preimage t…
A reflection over the x - axis
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which of the following describes the transformation from the preimage t…
A reflection over the y - axis
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which image shows the preimage reflected over the y - axis? options: im…
Image C
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which of the following describes the transformation from the preimage t…
B. A reflection over the y - axis
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find the sine, cosine, and tangent of ∠t. right triangle tus with right…
\( \sin(T) = \boldsymbol{\frac{\sqrt{13}}{5}} \) \( \cos(T) = \boldsymbol{\frac{2\sqrt{3}}{5}} \) \( \tan(T) = \boldsymbol{\frac{\sqrt{39}}{6}} \)
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three shapes are shown. shape f (a trapezoid), shape g (a rhombus), sha…
B. Shapes F, G, and H
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find the sine, cosine, and tangent of ∠b. triangle with right angle at …
\(\sin(B)=\boldsymbol{\frac{\sqrt{627}}{38}}\) \(\cos(B)=\boldsymbol{\frac{\sqrt{817}}{38}}\) \(\tan(B)=\boldsymbol{\frac{\sqrt{1419}}{43}}\) (Alternatively, if we don't rationali…
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select the correct figure. which figure appears to be correctly marked …
The top-left figure
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select the correct answer from each dropdown menu. three shapes are sho…
The first dropdown: acute and one obtuse; The second dropdown: parallel
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which figure appears to have exactly one line of symmetry? figure p fig…
C. figure Q
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select the correct shapes. select all of the shapes that have at least …
The pink square, the square with the purple triangle (the square - triangle combination)
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which figure has no lines of symmetry? figure p figure q figure r figur…
C. figure S
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in the figure below, $m\\angle 1 = 5x^\\circ$ and $m\\angle 2 = (x - 12…
$m\angle1 = 85^\circ$ $m\angle2 = 5^\circ$
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find the cosine of ∠r. triangle rqs with right angle at q, rq = 2√6, qs…
$\frac{2\sqrt{546}}{91}$ (or simplified as $\frac{2\sqrt{6}}{\sqrt{91}}$ rationalized to $\frac{2\sqrt{546}}{91}$)
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in the figure below, $m\\angle 1 = 5x^\\circ$ and $m\\angle 2 = (x - 12…
$m\angle1 = 85^\circ$ $m\angle2 = 5^\circ$
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find the tangent of $\\angle i$. triangle with right angle at k, side i…
\(\frac{4\sqrt{41}}{41}\)
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find the area of this parallelogram. be sure to include the correct uni…
84 square yards
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find the area of this parallelogram. be sure to include the correct uni…
84 square yards
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find the tangent of ∠x. triangle with right angle at w, yw = 4, yx = 10…
\(\frac{2\sqrt{21}}{21}\)
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solve the inequality and graph the solution. $c + 7 < 10$ to draw a ray…
The solution to the inequality \( c + 7<10 \) is \( c < 3 \). The graph of the solution has an open circle at 3 and an arrow pointing to the left on the number line.
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which image shows the preimage reflected over the y - axis? options: im…
Image C
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for the following right triangle, find the side length x. right triangl…
41
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find the sine of ∠s. right triangle rqs with right angle at r, rq = 8, …
$\frac{4\sqrt{21}}{21}$
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for the following right triangle, find the side length x. right triangl…
41
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2 select the correct answer from each dropdown menu. three shapes are s…
parallel
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a rectangular region is removed from another rectangular region to crea…
69 $\text{ft}^2$
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find the sine of ∠e. triangle image with right angle at d, fd=6, ed=√11…
$\frac{6\sqrt{47}}{47}$
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a rectangular region is removed from another rectangular region to crea…
69 $\text{ft}^2$
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which shape has acute angles and obtuse angles? shape a shape b shape c…
B. Shape A
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select the correct shape. which shape has a right angle? there are four…
The orange quadrilateral (top-left shape)
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self-assessment 1 i dont understand yet. 2 i can do it with help 8. for…
The value of \(x\) is \(\boxed{60}\) (assuming the angles are supplementary, which is a property of parallelogram consecutive angles or alternate interior angles being equal, but …
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select the correct shapes. select all of the shapes that have at least …
The shapes with at least one pair of parallel sides are the orange rectangle and the yellow parallelogram.
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find the surface area of each figur 1) (figure of a triangular prism wi…
# Explanation: ## Step1: Identify the figure (triangular prism) The figure is a triangular prism with a right - angled triangular base (legs of 5 yd each) and height (length of th…
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find the sine of ∠d. triangle with right angle at b, sides: bc = √5, bd…
$\frac{\sqrt{7}}{7}$
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select the correct shapes. select all of the shapes that have at least …
The pink square, the square with the purple triangle (the square - triangle combination)
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find the sine of ∠p. triangle with right angle at q, pq = 5, qr = √30, …
$\frac{\sqrt{66}}{11}$
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self-assessment state the theorem you can use to show that the quadrila…
To determine the theorem to show each quadrilateral is a parallelogram, we analyze each: ### Problem 5 (Quadrilateral with two sides of 30 m) #### Explanation: A parallelogram has…
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(-5,3) (5,1)
The slope between the two points is \(-\frac{1}{5}\)
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which of the following describes the transformation from the preimage t…
A reflection over the x - axis
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which of the following describes the transformation from the preimage t…
A reflection over the \( y \)-axis
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which image shows the preimage reflected over the y-axis? options: imag…
Image C
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find the sine of ∠d. right triangle efd with right angle at f, ef = 4, …
$\frac{4\sqrt{65}}{65}$
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which of the following describes the transformation from the preimage t…
A reflection over the x - axis