Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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find the value of x. (3x)° (2x + 44)° x =
$44$
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can the sides of a triangle have lengths of 0.6, 0.8, and 1? if so, wha…
B. yes, right
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can the sides of a triangle have lengths of 20, 21, and 29? if so, what…
B. yes, right
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can the sides of a triangle have lengths of 2, 40, and 42? if so, what …
D. no
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find the midpoint of points a(10, 7) and b(4, 3) graphically. you may p…
$(7,5)$
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find the perimeter. include the unit.
49 m
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two angles are complementary. the measure of the larger angle is 6° les…
The measure of the smaller angle is 24 degrees and the measure of the larger angle is 66 degrees.
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6. figure 2 is a scale drawing of figure 1. the area of figure 1 is 20 …
5 square units
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are these shapes similar?
no
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question find the midpoint of the segment with the following endpoints.…
$(7,\frac{13}{2})$
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what is the missing length in the scaled copy? units original scaled co…
15
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what is the missing length in the scaled copy? units original scaled co…
80
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question the midpoint of $overline{ab}$ is $m(-1, -5)$. if the coordina…
$(-4,-6)$
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the scale factor is the number you multiply each length in the original…
10
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original scaled copy 5 ? 3 6 4 8 what number can you multiply each orig…
2
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the midpoint of $overline{ab}$ is $m(3,2)$. if the coordinates of $a$ a…
$(-2,-3)$
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find the missing side length, in units, in the scaled copy. original sc…
30
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scale: 1 inch : 4 feet. what is the actual area of the living room? blu…
240 ft²
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what is true about the angles in the original figure and the scaled cop…
The angle measures in the original figure and the scaled copy are the same.
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how do you see it? consider the lines that contain the segments in the …
a. $\overleftrightarrow{KL}$, $\overleftrightarrow{MP}$, $\overleftrightarrow{RS}$ b. $\overleftrightarrow{NK}$, $\overleftrightarrow{NM}$, $\overleftrightarrow{QP}$, $\overleftri…
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4. three rods will be used to make a right - angled triangle. the yello…
45 cm
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which figure has the same shape as figure a? figure b figure c figure d…
figure E
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5. figure 2 is a scale drawing of figure 1. the area of figure 1 is 20 …
180 square units
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can you prove these shapes are congruent?
No
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find the exact area and perimeter of each of the shaded regions below. …
**Problem 2**: Area \(=49\pi - 98\) \(m^{2}\) Perimeter \(=14\pi\) m **Problem 3**: Area \(=40\) \(ft^{2}\) Perimeter \(=62\) ft **Problem 4**: Area \(=39\pi\) \(cm^{2}\) Perimete…
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4. three rods will be used to make a right - angled triangle. the yello…
# Explanation: ## Step1: Identify the longest rod The green rod is the longest and is 53 cm long. ## Step2: Set up the relationship between yellow and purple rods Let the length o…
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are these shapes similar? yes no work it out not feeling ready yet? the…
no
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look at this sentence: the speed at which a caterpillar turns into a bu…
3. to change form, shape, or color
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question in △ijk, jk = 19, ki = 16, and ij = 5. which statement about t…
\(m\angle I > m\angle J > m\angle K\) (the option corresponding to this in the multiple - choice list)
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isaac says that the shaded part of the figure represents $\frac{1}{2}$ …
No, because the shaded and unshaded parts do not have equal areas.
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in δuvw, vw = 6, wu = 16, and uv = 13. which statement about the angles…
\(m\angle V>m\angle W > m\angle U\)
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4. figure 2 is a scale drawing of figure 1. figure 1 has an area of 8 s…
5
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1 determine the measure of all the angles. a
The angles are \(36^{\circ}\) and \(144^{\circ}\), and the angles with the same measures as their corresponding and vertical angles are also \(36^{\circ}\) and \(144^{\circ}\) res…
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which graphs are linear? mark all graphs that are linear.
The first and fourth graphs are linear.
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4. in which sentence is tangent used correctly? a. a single tangent of …
4. B. A single tangent of a circle touches the circle at one point then does not pass through the circle. 5. B. Gallery visitors were fascinated by the unusual arrangement of line…
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in the figure below, m∠1 = 102°. find m∠2, m∠3, and m∠4. m∠2 = m∠3 = m∠…
$m\angle2 = 78^{\circ}$, $m\angle3 = 102^{\circ}$, $m\angle4 = 78^{\circ}$
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1. in which sentence is impeach used correctly? a. the city council may…
1. A. The city council may impeach the mayor for accepting bribes. 2. A. The professor was live streaming a video from the university's website. 3. A. Her entrepreneurship led her…
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explore the properties of rotation by following these steps. √ 7. the e…
The lengths of $PA$ and $PA'$ are equal. After measuring with a ruler, if $PA = x$ units, then $PA'=x$ units. (You need to perform the actual measurement to get the specific numer…
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write a conjecture that describes the pattern in each sequence. then us…
1. 24 2. 22222 3. \(\frac{1}{16}\) 4. \(\frac{7}{2}\) 5. 7:30 A.M. 6. 79% 7. Shaded part in top - right quadrant 8. Figure with 2 small rectangles 9. The product of two odd number…
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in the figure below, m∠2 = 137°. find m∠1, m∠3, and m∠4.
$m\angle1 = 43^{\circ}$ $m\angle3 = 43^{\circ}$ $m\angle4 = 137^{\circ}$
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look at this sentence: improve the condition of your horses coat by bru…
2. the hair or fur that covers an animal's body
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b 34° 126° x°
20
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a farmer is filling their circular water tank, which has a diameter of …
The volume of the circular water tank is $48\pi$ cubic - meters. Multiply the volume of the tank by $264$ to find the volume in gallons. Then, multiply the volume in gallons by $\…
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in the figure below, m∠3 = 33°. find m∠1, m∠2, and m∠4.
$m\angle1 = 33^{\circ}$, $m\angle2 = 147^{\circ}$, $m\angle4 = 147^{\circ}$
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determine which graphs are linear and nonlinear.
First graph: Linear Second graph: Linear Third graph: Nonlinear
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in the figure below, m∠4 = 67°. find m∠1, m∠2, and m∠3.
$m\angle1 = 67^{\circ}$, $m\angle2 = 113^{\circ}$, $m\angle3 = 113^{\circ}$
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explore the properties of rotation by following these steps. vertices c…
\(90\)
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in the figure below, m∠4 = 67°. find m∠1, m∠2, and m∠3.
$m\angle1 = 67^{\circ}$ $m\angle2 = 113^{\circ}$ $m\angle3 = 113^{\circ}$
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exploring rotations explore the properties of rotation by following the…
90
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graph the following function on the axes provided. f(x)=\begin{cases}3x…
The graph consists of a line \(y = 3x+6\) for \(x\in(-4,-1)\) and a line \(y=-2x + 2\) for \(x\in(-1,3)\) with open - circles at the endpoints of each line segment.
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in the figure below, m∠1 = 96°. find m∠2, m∠3, and m∠4.
$m\angle2 = 84^{\circ}$, $m\angle3 = 96^{\circ}$, $m\angle4 = 84^{\circ}$
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if a rectangle has an area of 12 m², then it has sides of length 3 m an…
Hipótesis: Un rectángulo tiene un área de 12 m². Conclusión: Tiene lados de longitud 3 m y 4 m. ### 8.
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3×3 systems applications the interior angles of a triangle sum to 180°.…
$m\angle A = 92^{\circ}$, $m\angle B = 43^{\circ}$, $m\angle C = 45^{\circ}$
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in triangle pqr, $overline{qr}$ is extended to point s. the measure of …
C. \(34^{\circ}\)
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8. figure 2 is a scale - drawing of figure 1. the area of figure 1 is 2…
180 square units
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a cylinder has a diameter of 6 inches and a height of 21 inches. what i…
C. $189\pi$
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in this diagram, △bac ~ △edf. if the area of △bac = 6 in², what is the …
$2.7$
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a. eduardo uses a scale - factor of 3 to draw figure l. complete figure…
Check the ratios of the distances from point \(F\) to corresponding vertices of figure \(C\) and the other figures. If the ratios are constant for a figure, then that figure is a …
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the graph shows the side view of a waterslide. dimensions are in feet. …
(0, 80), (5, 40)
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chapter 13: complements pages 391 - 92 predicate nominatives 13e. a pre…
1. Linking verb: was; Predicate nominative: a French underwater explorer 2. Linking verb: were; Predicate nominative: ocean life and conservation 3. Linking verb: were; Predicate …
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a company makes wax candles in the shape of a cylinder. each candle has…
$18086.4$
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the areas of two similar octagons are 9 m² and 25 m². what is the scale…
5
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point f lies on a unit circle in the xy - plane and has coordinates (0,…
D. \(35\pi\)
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evaluate independent practice learning goal i can construct exponential…
$y = 27\cdot3^{x}$
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the graph shows the side view of a waterslide. dimensions are in feet. …
(0, 80), (10, 40)
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3x3 systems applications situation c. the interior angles of a triangle…
\(m\angle A = 92^{\circ}\), \(m\angle B = 45^{\circ}\), \(m\angle C = 43^{\circ}\)
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an isosceles triangle has two congruent sides, called legs. the third s…
11 cm
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in right triangle abc, angles a and b are acute, side ac has a length o…
B. 265.5
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complete problems 3 and 4. in woodworking class, eduardo makes a patter…
For part a: Draw figure \(K\) with sides twice as long as the corresponding sides of the original figure with respect to the center of dilation \(M\). For part b: Draw figure \(L\…
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exercise b in the sentences below, circle each verb. then, identify eac…
6. Verb: became; Predicate Nominative: president 7. Verb: describes; Direct Object: him 8. Verb: is; Predicate Nominative: student 9. Verb: has; Direct Object: spots 10. Verb: is;…
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what is the volume of this cylinder in cubic inches? 40π 80π 200π 320π …
$200\pi$
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figure b is a scale copy of figure a. circle the scale factor that was …
$\frac{1}{2}$
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in this diagram, $\triangle bacsim\triangle edf$. if the area of $\tria…
$14.2$
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draw a line representing the “rise” and a line representing the “run” o…
The slope of the line is $-\frac{5}{2}$
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look at this graph: what is the y - intercept?
3
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find x. x = meters
$8$ meters
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3. figure 2 is a scale drawing of figure 1. the area of figure 1 is 15 …
375 square units
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5. look at the shape below. how many lines of symmetry does this shape …
5
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sketch θ = -\\frac{2π}{3} radians in standard position on the unit - ci…
$a =-\frac{1}{2}$ $b=-\frac{\sqrt{3}}{2}$ $P=(-\frac{1}{2},-\frac{\sqrt{3}}{2})$
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5. translate the sentence into an equation or formula. the perimeter p …
5. $P = 2l + 2w$ 6. $a=-12$
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graph the compound inequality on the number line. x < -4 and x > -8
Draw an open - circle at \(x = - 8\), an open - circle at \(x=-4\), and shade the region between them on the number line.
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graph the compound inequality on the number line. x < 5 or x > 7
Draw an open circle at \(x = 5\) and shade the number - line to the left of \(x = 5\). Draw an open circle at \(x = 7\) and shade the number - line to the right of \(x = 7\).
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graph the compound inequality on the number line. x≥3 and x<8
Draw a closed - circle at 3, an open - circle at 8, and shade the region between 3 and 8 on the number line.
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1. antoine and bobby each rotated a pentagon about point p, but they ea…
1. One of the rotations is likely incorrect. In a proper rotation (a rigid transformation), the shape and size of the pentagon should remain the same, and only its orientation sho…
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a preschool is building a sandbox as shown. select all the expressions …
D. \((10\times5\times2)+(6\times2\times2)\)
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what is one way you can rewrite the formula for the circumference of a …
divide both sides by $2\pi$ to get $r = \frac{C}{2\pi}$
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check understanding 1. antoine and bobby each rotated a pentagon about …
They are likely not correct because they probably used different angles of rotation about point $P$. ### 2.
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triangle abc was translated according to the rule (x, y) → (x + 1.5,y -…
# Explanation: ## Step1: Reverse the translation rule To find the pre - image from the image, we use the reverse rule. Given the translation rule from pre - image to image is $(x,…
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the circumference of the circle is select choice units and its area is …
The circumference of the circle is 40.2 units and its area (not in - choice here but for full - understanding) is approximately 128.6 square units. For the given choices, the circ…
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a school is building a sandbox as shown. select all the expressions tha…
A. \((6\times5\times2)+(4\times5\times2)\) B. \((10\times5\times2)-(4\times2\times2)\)
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draw the following triangle after a 90° clockwise rotation about the or…
Draw the triangle with vertices obtained by applying the 90 - degree clockwise rotation rule $(x,y)\to(y, - x)$ to the original triangle's vertices.
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triangle pqr has coordinates p(-1, 5), q(1, 2), and r(-3, -1). determin…
C. $P(1,5), Q(-1,2),$ and $R(3,-1)$
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triangle pqr has coordinates p(-1, 5), q(1, 2), and r(-3, -1). determin…
C. $P(4,1),Q(6,-2),$ and $R(2,-5)$
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the two figures are scaled copies of each other. figure 1 figure 2 a. w…
a. 2 b. $\frac{1}{2}$
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triangle jkl has coordinates j(2, -5), k(-1, -3), and l(-4, 5). determi…
A. $J(2,5), K(-1,3),$ and $L(-4,-5)$
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in the diagram below, $overline{ab}congoverline{bd}congoverline{bc}$, a…
$65^{\circ}$
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lin and andre used different methods to find the area of a regular hexa…
Lin's method: Approximately $93.53$ square inches. Andre's method: $93.6$ square inches.
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in the diagram, $overleftrightarrow{ab}$ and $overrightarrow{ec}$ are p…
$x = 3$; $m\angle HEB=27^{\circ}$
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the measures of two angles of a triangle are 98° and 20°. find the meas…
\(62^{\circ}\)
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problem #3 - unit 1 (medium) identify two pairs of congruent shapes pro…
Problem #3: A and F, B and D Problem #4: The second shape from the left Problem #5: The first shape on the right