Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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in the diagram to the right, $\\triangle wlj \\sim \\triangle qbv$. fin…
$x = 14$ Scale factor of left triangle to right triangle is $2$
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which fraction is represented on the number line below? 0 1 options: $\…
$\frac{2}{5}$ (corresponding to the option with $\frac{2}{5}$)
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which angle is vertical to ∠5? ∠9, ∠10, ∠7, ∠3 (with a diagram of inter…
$\angle 7$
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o is the center of the regular pentagon below. find its perimeter. roun…
10 units
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o is the center of the regular octagon below. find its area. round to t…
$\approx210.6$ square units
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5. list the sides of $\\triangle fgh$ in order from least to greatest i…
$GH < FG < FH$ --- ### Problem 6
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the quadrilateral shown is a rectangle. what is ( mangle mjn )? a ( 24^…
C. $66^\circ$
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14 what is the height of the tree? (show all work on paper): a 32.91 b …
A. 32.91
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13 a shark is swimming 28ft below sea level. if the angle of depression…
$\approx 81.3$ feet
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mapping: 7 continents + 5 oceans + the columbian exchange/triangle trad…
### Decline of the Medieval Period 1. The growth of centralized royal authority (reducing feudal and Church power) 2. Citizens shifted from feudal lord loyalty to direct ties to a…
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example 2: handball demarco is teaching taye how to play handball. taye…
The front wall forms a $\boldsymbol{90^\circ}$ angle with the ground, and the height to which the ball bounces forms a $90^\circ$ angle with the ground. Therefore, the two triangl…
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question 10 of 10 graph the circle with center (2, -3) that passes thro…
- Area in terms of \(\pi\): \(9\pi\) - Area to the nearest tenth: \(28.3\)
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question 9 of 10 graph and find the area of the figure with the vertice…
The area of the figure is \(5\).
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graph the circle with center (2, -3) that passes through (2, 0). find t…
In terms of \( \pi \): \( 6\pi \) To the nearest tenth: \( 18.8 \)
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example 3 (lesson 8-3 practice #9): identify the similar triangles. the…
$AC=16$ --- ### Second Problem (Lesson 8-3 Practice #10):
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question 7 of 9 find the circumference of a circle with radius 5.4 ft, …
C = 10.8π ft ≈ 33.9 ft (the corresponding option among the choices)
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question 8 of 9 identify the circumference of the circle with a radius …
A. 16.2π in.; 50.9 in.
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find the circumference of a circle with radius 11.8 in., both in terms …
C = 23.6π in. ≈ 74.1 in. (the third option)
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graph the circle with center (-3, -3) that passes through (2, -3). find…
The area in terms of \( \pi \) is \( 25\pi \) and to the nearest tenth (using \( \pi = 3.14 \)) is \( 78.5 \).
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question 5 of 9 find the area of a circle with radius 20.8 ft, both in …
A = 432.64π ft² ≈ 1358.5 ft² (the third option: A = 432.64π ft² ≈ 1358.5 ft²)
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question 4 of 9 find the area of a circle with diameter 27.2 m, both in…
A = 184.96π m² ≈ 580.8 m² (the option: A = 184.96π m² ≈ 580.8 m²)
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graph the circle with center (4, 1) that passes through (4, -4). find t…
In terms of \( \pi \), the circumference is \( 10\pi \). To the nearest tenth, the circumference is \( 31.4 \).
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question 2 of 9 find the area of a circle with diameter 38 mm, both in …
B. \( A = 361\pi \text{ mm}^2 \approx 1133.5 \text{ mm}^2 \)
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question 1 of 9 graph the circle with center (-3, -3) that passes throu…
In terms of \( \pi \), the circumference is \( 10\pi \). To the nearest tenth, the circumference is \( 31.4 \).
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based on the ramps below and their heights and lengths (not to scale), …
DEF
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guided notes lesson 8 - 3: aa similarity > i can prove triangle similar…
1. $t = \frac{17}{3}$ 2. $x = -2$ 3. $k = -\frac{23}{4}$ --- ### Example 1
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guided notes lesson 8 - 3: aa similarity i can prove triangle similarit…
1. $t = \frac{17}{3}$ 2. $x = -2$ 3. $k = -\frac{23}{4}$ --- ### Example 1
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wednesday reading log pages read today: 185 to 205 book check book leve…
Reaction: Circled heart icon (already completed) Summary: First, Greg tries to impress Holly at the pool but is embarrassed by his dad's swim trunks. Then, he and Rowley fight ove…
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8) find the missing angle. 35° 100° exterior ?
\(135^{\circ}\)
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the area of this triangle is the perimeter of this triangle is
Area: 24, Perimeter: 26
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the area of this shape is the perimeter of this shape is
Area: 36 square feet, Perimeter: 24 feet
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area and perimeter (last day to retake 2/15) the area of this shape is …
The area of this shape is 32 square feet The perimeter of this shape is 24 feet
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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 \((2,0)\), \((-2,0)\). The ellipse is drawn by connecting t…
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6. find the area of the shaded region. all angles are right angles. sho…
### Problem 6: Find the area of the shaded region # Explanation: ## Step 1: Analyze the shape The shaded region can be divided into three rectangles. Let's identify their dimensio…
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translate the figure as indicated. label the image using prime notation…
### Problem 7 (Translation: 3 units right and 3 units down) #### Step 1: Identify Coordinates of Original Points First, we determine the coordinates of the vertices of the origina…
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directions: given the vertices, determine the quadrilaterals most speci…
EFGH is a Parallelogram --- ### For the first quadrilateral STUV (verification): ## Step1: Verify side lengths All sides: $ST=TU=UV=VS=\sqrt{116}$, so all sides are equal. ## Step…
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** this is a 2 - page document! ** directions: given the vertices, dete…
Square
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8. if de = 16x - 3, ef = 9x + 11, and df = 52, find hg. directions: if …
9. $VU = 15$, $SU = 15\sqrt{2}$, $TV = 15\sqrt{2}$, $SW = \frac{15\sqrt{2}}{2}$ 10. $OM = 46$, $PN = 23$, $ON = 23\sqrt{2}$, $MN = 23\sqrt{2}$ 11. $m\angle EFG = 90^\circ$, $m\ang…
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12. solve for x. (6x - 21)° p q t s r
$x = 11$
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you do: check for understanding a triangular park is mapped using coord…
A. Yes
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team task: stations! enrique is hiking on the campground map. he will s…
The length of the hike is approximately \( \boldsymbol{165.58} \) units (or \( 30\sqrt{10} + 50\sqrt{2} \) units in exact form).
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given triangle abc has vertices located at a(-2,2), b(3,3), and c(1,-3)…
\(\sqrt{26}\) ### Part B
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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 \((2, 0)\), \((-2, 0)\). To draw it, plot these points and …
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at \((0,0)\), with vertices at \((0,\pm3)\) and co - vertices at \((\pm2,0)\), drawn by plotting the center, vertices, and co - vertices and then …
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you do: check for understanding eldoras family lives in new mexico. she…
c. Compare the slopes of JK and KL. If the product of the slopes is -1, then the lines are perpendicular. Find the lengths of JK and KL. If the lengths are equal, then the triangl…
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true or false? your complementary/supplementary angles must share a leg…
False
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Question was provided via image upload.
\( A' = (-9, 4) \) \( B' = (-7, 7) \) \( C' = (-5, 1) \)
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given that $m \\parallel \\overleftrightarrow{yz}$. why is the measure …
1. $180^\circ$ 2. $180^\circ$ 3. alternate interior 4. $\overleftrightarrow{XY}$ 5. Alternate interior 6. congruent
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given right triangle pqr, which represents the value of sin(p)? \\(\\fr…
$\boldsymbol{\frac{RQ}{PQ}}$ (the third option)
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graph the tranformation listed below using the graph in the correct col…
\( A'=(7, 3) \) \( B'=(10, 2) \) \( C'=(4, 1) \) Wait, but this seems incorrect. Maybe I made a mistake in the original coordinates. Let's re - check. Maybe the coordinates are: -…
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drag and drop your answers into the boxes to complete the explanation. …
In the figure $\boldsymbol{\angle4}$ and $\angle1$ are alternate interior angles. Therefore, $m\angle1 = \boldsymbol{70^\circ}$. $\angle2$ and $\angle5$ are alternate interior ang…
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given right triangle gyk, what is the value of tan(g)? ○ $\frac{1}{2}$ …
$\frac{\sqrt{3}}{3}$ (matches option $\boldsymbol{\frac{2\sqrt{3}}{3}}$ is incorrect; the correct value is $\frac{\sqrt{3}}{3}$, but based on the triangle, the correct calculated …
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what is the scale factor used to dilate the triangle shown below.
3
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given △def, which is not equal to cos(f)? ○ sin(f) ○ sin(d) ○ tan(f) ○ …
tan(F)
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what are the coordinates of point c if c(0, 7) is rotated 180° clockwis…
\((0, - 7)\)
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given right triangle xyz, which correctly describes the locations of th…
a is adjacent, b is opposite, c is the hypotenuse
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shift the graph using the rule: (x + 3, y - 1)
Translated points: \( A'(5, 5) \), \( B'(5, 1) \), \( C'(8, 1) \) (Plot these points to see the shifted graph.)
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shift the graph using the rule: (x + 3, y - 1)
The translated coordinates are: A'$(9, 1)$, B'$(5, 1)$, C'$(5, 4)$. To graph the translated figure, plot these points and connect them.
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analyzing the sine ratio explain why the value of the sine ratio for an…
For any acute angle in a right triangle, the sine ratio is defined as $\frac{\text{opposite side}}{\text{hypotenuse}}$. All side lengths are positive, so the ratio is positive. Th…
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item 1 what are the coordinate points of e, if e(-9, 8) is translated u…
\((1, 4)\)
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which triangle is similar to $\\triangle abc$ if $\\sin(a) = \\frac{1}{…
The triangle similar to △ABC is △XYZ (the rightmost triangle with sides 6, $6\sqrt{15}$, 24)
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consider △abc. what are the angles that make the trigonometric statemen…
$\sin(\boldsymbol{A}) = \cos(B)$ $\sin(B) = \cos(\boldsymbol{A})$
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drag and drop your answers into the boxes to complete the explanation. …
$\angle AEB, \angle3, \angle DEC$ form a $\boldsymbol{\text{straight angle}}$, so $\boldsymbol{m\angle AEB + m\angle3 + m\angle DEC = 180^\circ}$. Therefore, $m\angle3 = \boldsymb…
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writing trigonometric ratios use the diagram of triangle xyz to answer …
Length of side XY: 10 Value of $\sin(X)$: $\frac{4}{5}$ Value of $\cos(X)$: $\frac{3}{5}$ Value of $\tan(X)$: $\frac{4}{3}$
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determining the sine ratio what additional information would be necessa…
The length of BC is needed because it is the side opposite $\angle A$.
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recognizing trigonometric ratios use the diagram and side lengths of tr…
$\sin(\boldsymbol{R}) = \frac{12}{13}$ $\tan(\boldsymbol{T}) = \frac{5}{12}$
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deriving a tangent ratio for special triangles which statements are tru…
NM = x LM = $x\sqrt{2}$ $\tan(45^\circ) = 1$
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finding the values of trigonometric ratios what are the values of the t…
$\sin(L) = \frac{4}{5}$ $\cos(L) = \frac{3}{5}$ $\tan(L) = \frac{4}{3}$
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identify the triangle that contains an acute angle for which the sine a…
The second triangle (right triangle with $\angle A = 45^\circ$, $\angle B = 45^\circ$, right angle at $C$, and equal sides $AC$ and $BC$)
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consider △lnm. which statements are true for triangle lnm? check all th…
The side opposite $\angle L$ is $\overline{NM}$. The side opposite $\angle N$ is $\overline{ML}$. The hypotenuse is $\overline{LN}$.
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classify the triangle by its sides and by measuring its angles. the tri…
By angles: acute (or equiangular); By sides: equilateral (or isosceles) (Note: The most precise for sides is equilateral (since all three sides are marked equal), and for angles, …
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error analysis describe and correct the error in finding ( mangle 1 ). …
The error was using the sum of angles in a quadrilateral (\(360^\circ\)) instead of a triangle (\(180^\circ\)). The correct measure of \(\angle1\) is \(26^\circ\).
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find ( mangle 1 ). then classify the triangle by its angles. ( mangle 1…
\(m\angle1 = \boldsymbol{110}^\circ\). The triangle can be classified by its angles as \(\boldsymbol{\text{obtuse}}\).
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the measure of the exterior angle of the triangle is \\(\\square^{\\cir…
\(114\)
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find the measure of each acute angle. (3x + 2)° = \\square ° and x° = \…
\((3x + 2)^\circ = \boldsymbol{68}^\circ\) and \(x^\circ = \boldsymbol{22}^\circ\)
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classify the triangle by its sides and by measuring its angles. the tri…
By angles: obtuse; By sides: isosceles
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classify the triangle by its sides and by measuring its angles. the tri…
By angles: acute; By sides: isosceles (or if all sides different, scalene, but the diagram likely isosceles - acute. So the answer is (angle: acute, side: isosceles) or (angle: ac…
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modeling real life a face of a chemical sensor that detects peanuts in …
Isosceles (since two sides are equal, it is an isosceles triangle) ### Part 2: Classify by angles
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find the measure of each acute angle. (19x − 1)° (13x − 5)° (19x − 1)° …
\((19x - 1)^\circ = \boldsymbol{56}^\circ\) and \((13x - 5)^\circ = \boldsymbol{34}^\circ\)
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find ( mangle 1 ). then classify the triangle by its angles. ( mangle 1…
\(m\angle1 = 52^\circ\). The triangle is classified as right.
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classify the triangle by its sides and by measuring its angles. the tri…
By angles: right; By sides: isosceles (the side - classification answer is "isosceles")
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which is the correct classification for this triangle? ○ right triangle…
obtuse triangle
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what is the value of x in the triangle? ○ 65° ○ 55° ○ 45° ○ 35° (there …
$45^\circ$ (Option: 45°)
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in $\\triangle abc, m\\angle a = 73^{\\circ}; m\\angle b = 41^{\\circ}$…
$66^\circ$
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is the triangle acute, right, or obtuse? 48° 72° 60° acute obtuse right
acute
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what is the value of x in this triangle? 45° 80° x° enter your answer i…
$55$
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what is the value of x in this triangle? enter your answer in the box. …
$x = 49$
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what is the value of x in this triangle? 125° 38° x° enter your answer …
$17$
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you do: check for understanding triangle abc has vertices at: a(-4, 1),…
The slope of AB is: $\boldsymbol{\frac{1}{3}}$ and the slope of AC is: $\boldsymbol{-2}$ Triangle ABC is a right triangle because AB and AC are: c. Neither (Note: There might be a…
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enter your answers in the boxes to find the value of x. the sum of the …
The sum of the two known angle measures is $155^\circ$. $x = 180^\circ - 155^\circ$ $= 25^\circ$ Final value of $x$: $25^\circ$
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13e pick the winner circle the word that best fits into the sentence. t…
1. Correct word: hilarious Sentence for unused word: The capricious cat kept switching hiding spots. 2. Correct word: unscathed Sentence for unused word: The bleak winter forecast…
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in diagram 1, klump is a regular pentagon and mpq is a straight line. f…
# Explanation: ## Step1: Find interior angle of regular pentagon A regular pentagon has interior angle formula $\frac{(n - 2)\times180^{\circ}}{n}$, where $n = 5$. So $\frac{(5 - …
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the measure of $\\angle mkj$ is $80^\\circ$. after analyzing the diagra…
Her conclusion is correct because the value of \(x\) is 15.
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applying the angle addition postulate the measure of angle jkl can be r…
65
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real - world link architects make detailed drawings of rooms and buildi…
| Object | Length (ft) | Length (units) | |------------|-------------|----------------| | Bed | $6$ | $3$ | | Nightstand | $2.5$ | $1.25$ | | Dresser | $5$ | $2.5$ | *(For Step 3:…
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9. in the diagram below, \\(\\overline{de}\\), \\(\\overline{df}\\), an…
(4) \( AB + AC \)
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measuring angles use the interactive protractor to answer the questions…
The measure of \( \angle PQR \) in degrees is \( \boldsymbol{100} \). Angle \( PQR \) is a(an) \( \boldsymbol{\text{obtuse}} \) angle.
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one of the most helpful methods people around the world have used to le…
resilience
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applying the segment addition postulate point d is on segment bc. segme…
144
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find the measure of each side indicated. round to the nearest tenth. 9)…
9) $x\approx9.9$ 10) $x\approx2.0$ 11) $\angle A=37^\circ$, $AC\approx8.0$, $AB\approx10.0$ 12) $\angle A=65^\circ$, $BC\approx10.0$, $AC\approx4.6$