Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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the area of the trapezoid is 63 square feet. what is the trapezoids hei…
9
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which of the following is the rule for reflecting a figure over the y -…
$\boldsymbol{(x,y) ightarrow (-x,y)}$ (the orange option)
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which of the following is the proper name for the ray? ray ab ray ba ra…
A. Ray AB
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find the circumference using 3.14 for pi and rounding to the nearest hu…
To find the circumference, we need the radius or diameter of the circle. The formula for the circumference of a circle is \( C = \pi d \) (where \( d \) is the diameter) or \( C =…
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what is the area of the trapezoid? 12 cm, 17 cm, 15 cm, 17 cm, 28 cm, s…
300
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which of the following represents the exterior angle theorem for the tr…
B. $d = a + c$
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if $\\angle 1 \\cong \\angle 2 \\cong \\angle 3$, $\\angle 4 \\cong \\a…
\( 60 \)
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what is the union of two noncollinear rays? line angle segment ray
B. angle
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what is the area of the trapezoid? 32 km 18 km 15 km 18 km square kilom…
375
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what angle pair is pictured? linear pair vertical angles adjacent congr…
B. Vertical Angles
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what is it called when you do 2 or more transformations on one figure, …
B. Composition of Transformations
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what is the area of the trapezoid? 7 m 7 m 9 m 11 m square meters
63
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what is the area of the trapezoid? 2 m 5 m 4 m 5 m square meters
The area of the trapezoid is \(\boldsymbol{14}\) square meters.
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if 2 angles sum to 180 degrees, the angles are _______. a linear pair c…
C. supplementary
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what is the area of the trapezoid? 4 mm 7 mm 10 mm 12 mm square millime…
56
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refer to the figure at the right. what is ( mangle p )? ( mangle p = sq…
\(94\)
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each exterior angle in a regular polygon has a measure of 18. how many …
C. 20; 3,240
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the sum of the measures of the interior angles of a convex polygon is ∠…
13
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what is ( mangle b )? options: a. 51 b. 129 c. 134 d. 141
D. 141
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what is the area of the trapezoid? 2 km 6 km 7 km 6 km square kilometers
24
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what is the area of the trapezoid? 3 mi. 5 mi. 7 mi. 9 mi. square miles…
30
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a. draw an inscribed right angle in circle t. label each point where th…
(a): \( \angle ADE \) (or other valid inscribed right - angle name based on the circle's points. If we assume points \( A \), \( B \), \( C \) with \( \angle ABC = 90^\circ \), it…
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1) drag and drop the correct words to complete the sentences. a ______ …
s: 1. A \(\boldsymbol{\text{parabola}}\) is the locus of points in a plane that are equidistant from a line and a point not on the line. 2. The \(\boldsymbol{\text{focus}}\) of a …
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part 1 of 4 use the graph at the right. find the vertices of the image …
To solve the problem of finding the vertices of the image of \( QRTW \) after a dilation with center \( (0,0) \) and scale factor \( 9 \), we first need to identify the coordinate…
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find the value of ( x ), ( y ), and ( z ) in the rhombus below. answer …
\(x = -79\), \(y = -18\), \(z = -26\)
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find the value of x, y, and z in the rhombus below. (-x-8)° 107° (3y-1)…
\(x=-81\), \(y = 36\), \(z=-20\)
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prove $\\angle j \\cong \\angle v$ by filling out the flowchart below. …
The completed flowchart statements and reasons are: 1. **Type of Statement**: $\boldsymbol{\angle H \cong \angle X}$ **Reason**: All right angles are congruent 2. **Type of Statem…
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part 9: trapezoid abcd is an isosceles trapezoid with bases ab and cd, …
28. $EF = 36$ 29. $x = 20$ 30. $EF = 7$ 31. Quadrilateral PQRS is a square. All four sides are congruent (length $3\sqrt{5}$), and adjacent sides are perpendicular (product of slo…
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9) a right triangle with one leg 7 and the other leg 10 (the right angl…
The area of the right - triangle is 35.
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practice for exercises 1–5, use the figure and the description to answe…
∠1 ### Question 2: Which angle corresponds to ∠8?
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language review - q2.7 date: tuesday what part of speech is the underli…
adjective ### Sub - Question 2: Write the meaning of the underlined words "retook" and "control"
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name practice for exercises 1–5, use the figure and the description to …
\( m\angle 1 = 60^\circ \), \( m\angle 2 = 120^\circ \), \( m\angle 3 = 60^\circ \), \( m\angle 4 = 120^\circ \), \( m\angle 6 = 60^\circ \), \( m\angle 7 = 120^\circ \), \( m\ang…
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a discus circle is shown to the right. it has a diameter of 98.5 inches…
a. 7617.13 square inches b. 6939.79 square inches c. 677.34 square inches
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the following point was reflected across the $x-$axis, what would be th…
d. \((-6,-4)\)
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homework 2: angles of triangles ** this is a 2 - page document! ** dire…
\( 45^\circ \) ### Problem 2: Find \( m\angle 1 \) (exterior angle or triangle sum)
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write the set of coordinates for a reflection over the x-axis of the fi…
c. \((2, - 1),(5, - 1),(2, - 4)\)
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write the notation to describe the movement of the points in the reflec…
a. \( r_{x\text{-axis}} \)
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find the area of the shaded region. leave the answer in terms of π and …
$196 - 49\pi$ sq in
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a figure has vertices $(-1, 3), (-3, 1), (-5, 1),$ and $(-4, 6)$. what …
d. \((-1, - 3),(-3, - 1),(-5, - 1),(-4, - 6)\)
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a figure has vertices (2,1), (5,1), and (2,4). what are the coordinates…
d. \((-2,1),(-5,1),(-2,4)\)
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write the notation to describe the movement of the points in the reflec…
a. \( r_{y=x} \)
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if the following point were reflected across the y-axis, what would be …
a. \((5, - 4)\)
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write the set of coordinates for a reflection over the x-axis of the fi…
d. \((1, - 3),(2, - 5),(3, - 2)\)
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the circle shown has a diameter of 40 centimeters. the length of rc is …
12
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what kind of reflection maps the point (4,2) to (4,-2)? a reflection ov…
b. Reflection over the x - axis
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write the set of coordinates for a reflection of the figure over the y …
d. \((2, 3),(1, 3),(1, 2)\)
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in circle l, a sector is shaded. ∠mln measures 120°. what fraction of t…
Fraction of shaded circle: $\frac{1}{3}$ Correct area expression: $\frac{1}{3}(100\pi)$
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in circle v, \\(\\overarc{wyx}\\) is highlighted. \\(\\angle wvx\\) mea…
Fraction of the circle highlighted: $\frac{11}{15}$ Expression for length of $\widehat{WYX}$: $\frac{11}{15}(4\pi)$
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give a pair of alternate interior angles, a pair of corresponding angle…
(b) Corresponding angles: \( \angle 1 \) and \( \angle 5 \)
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0.tr.7 congruent triangles definitions for each of the congruency theor…
To solve problems related to triangle congruence (SSS, SAS, ASA), follow these steps: ### Step 1: Identify the Congruence Criterion - **SSS (Side - Side - Side)**: Check if all th…
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part 6: kite use kite abcd and the given information to complete the fo…
20. $x=5$, $y=7$ 21. $DB=240$ 22. $\angle ADC=54^\circ$ 23. $x=18$ 24. $DB=26$ 25. $x=11$ 26. $x=30$ 27. $x=9$
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4. what are the vertices of this ellipse? options: (-4, 2) and (4, 2) (…
(-9, 2) and (-1, 2)
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3. what are the foci of the ellipse given by the equation $x^2 - 4x + 5…
(4, -3) and (0, -3)
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2. what are the lengths of the major and minor axes of this ellipse \\(…
Major Axis: $4\sqrt{3}$ units, Minor Axis: $2\sqrt{6}$ units
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you are to construct a decorative wood shelf that has two metal angle s…
\(53^\circ\) (corresponding to the option with \(53^\circ\))
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a building casts a shadow reaching 13 feet from the base of the buildin…
30°
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write the coordinates of the vertices after a reflection over the y - a…
\( Q'(9, -7) \) \( R'(9, -1) \) \( S'(4, -4) \)
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write the coordinates of the vertices after a reflection over the y - a…
\( Q'(-6, 0) \) \( R'(-9, 0) \) \( S'(-9, 2) \) \( T'(-6, 2) \)
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practice 8.01 problems 1–4: determine the area of each tilted square. e…
17 square units ### Problem 2: Square B
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which figure is a dilation of figure abcd? figure efgh figure ijkl figu…
figure IJKL
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i. a set of points where the coordinates of each point have a sum of 2 …
To solve for the equations of the sets of points: ### Part (i) #### Step 1: Define the variables Let the coordinates of a point be \((x, y)\). #### Step 2: Translate the condition…
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what is the value of the dot shown on the number line below? if the ans…
1
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solve for x and graph the solution on the number line below. -1 ≥ -11 +…
Inequality Notation: \(x \leq 10\) For the number line: We draw a closed circle at 10 (since the inequality is "less than or equal to") and shade the line to the left of 10 to rep…
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$\\overline{wx}$ is dilated by a scale factor of $\\frac{1}{3}$ to form…
12
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the figure below is dilated by a scale factor of 4 to form \\(\\angle x…
\(48^\circ\)
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the segment below is dilated by a scale factor of 4 to form \\(\\overli…
84
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question \\overline{no} is dilated by a scale factor of \\frac{1}{3} to…
5
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solve for x and graph the solution on the number line below. 18 < 10 + …
Inequality Notation: \(x > 8\) For the number line: We draw an open circle at \(8\) (since \(x\) is not equal to \(8\)) and draw an arrow pointing to the right (to represent all n…
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solve for ( x ) and graph the solution on the number line below. ( -1 >…
Inequality Notation: \(x > 4\) (For the number line: Draw an open circle at 4 and shade to the right, since \(x\) is greater than 4 but not equal to 4.)
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find the area of this figure. a = \\square cm² (hint: area of a paralle…
90
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question solve for ( x ) and graph the solution on the number line belo…
The solution to the inequality \( x + 8<14 \) in inequality notation is \( x < 6 \). For the number line graph, there is an open circle at 6 and an arrow pointing to the left.
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date: ** this is a 2 - page document! ** directions: determine whether …
1. Similar (all side ratios = $\frac{1}{2}$) 2. Not similar (side ratios $\frac{5}{3}$ and 2, not equal) 3. Similar (all side ratios = $\frac{2}{3}$) 4. Similar (all side ratios =…
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example 2 trapezoid rhwa with midsegment (overline{uk}) is shown. find …
55.5 ft
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understanding of the coordinate plane name 1 write ordered pairs for th…
s: - Point A: \(\boldsymbol{(2,8)}\) - Point B: \(\boldsymbol{(1,3)}\) - Point C: \(\boldsymbol{(6,6)}\) - Point D: \(\boldsymbol{(4,0)}\) - Point E: \(\boldsymbol{(8,2)}\) - Loca…
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example 2 trapezoid rhwa with midsegment \\(\\overline{uk}\\) is shown.…
$x=3$, $y=-8$
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in which quadrant is the point (0,4) located? a. none b. iii c. i d. ii…
A. none
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the image of a triangle after it has been dilated with a center at the …
A. The scale factor is $\frac{2}{3}$. B. The coordinates of B are (9, -27). C. The coordinates of C' are (12, 8).
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the image of a triangle after it has been dilated with a center at the …
- The coordinates of C' are (27, 18). - The scale factor is $\frac{2}{3}$. - The coordinates of B are (9, -27).
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a quadrilateral with vertices at a(4, -4), b(4, -16), c(12, -16), and d…
9
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(b) suppose the angles below have the same measure. choose the correct …
s: #### (b) (Assuming the angle measure, e.g., if it's 60°, but with a protractor, the measure is \(\boldsymbol{60^\circ}\) (or other, but based on rotation properties). However, …
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rotating $\\triangle pqr$ by $180^{\\circ}$ clockwise about the origin,…
\(CP = CP'=\boldsymbol{2\sqrt{10}}\) units, \(CQ = CQ'=\boldsymbol{\sqrt{89}}\) units, \(CR = CR'=\boldsymbol{\sqrt{58}}\) units
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a triangle with vertices at a(20, -30), b(10, -15), and c(5, -20) has b…
$\frac{1}{5}$
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what is true about the dilation? pre - image image it has a scale facto…
It has a scale factor between zero and one and is a reduction.
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area of triangle =?
The area of the triangle is \(18\) square centimeters (or \(18\ \text{cm}^2\)).
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verbs (action verbs and linki action verbs and linking verbs an action …
s: 1. linking 2. action 3. action 4. linking 5. linking 6. linking 7. action 8. linking 9. linking 10. action
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recommending a scale factor for given shapes the smaller star has been …
2
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in the figure above, $rt = tu$. what is the value of $x$? a) 72 b) 66 c…
B) 66
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justifying the coordinates of a pre - image the segments shown are dila…
The coordinate (1, 0) is from a dilation using the scale factor of $\frac{1}{5}$.
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comparing coordinates to interpret a dilation study the image at the le…
(for the two parts): 1. Result of dilation: The figure is reduced (becomes smaller). 2. Scale factor: \( \boldsymbol{\frac{1}{2}} \) (or similar, depending on grid details). (Note…
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in the figure above, rt = tu. what is the value of x? a) 72 b) 66 c) 64…
C) 64
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activity 2 name date period what about the outputs? (continued) here is…
10: A graph (e.g., a rectangle with vertices at \((-3, 0)\), \((4, 0)\), \((4, 5)\), \((-3, 5)\) or a function like \(y=\frac{5}{7}(x + 3)\) for \(x\in[-3,4]\)) is sketched with \…
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figure g answer a rotation 90° counterclockwise about the origin a rota…
# Brief Explanations: First, identify key vertices of Figure G: let's take (0,0), (-5,4), (-2,5). For Figure F, the corresponding vertices are (0,0), (-5,-3), (-3,-5). Using the 9…
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the radius of a circle measures 12 yd. what is the circumference of the…
75.36 yd
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circle the linking verb in each sentence. underline the adjective or no…
### Sentence 2: Joe and his father are friendly. - **Linking Verb**: Circle "are" - **Adjective/Noun linked to subject**: Underline "friendly" - **Arrow**: Draw an arrow from "fri…
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the figure below has a point marked with a large dot. first, translate …
Point in original figure: \((-3, -6)\) Point in final figure: \((3, -2)\)
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the figure below has a point marked with a large dot. first, translate …
Point in original figure: $(-4, -6)$ Point in final figure: $(2, -2)$
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a circle has a diameter of 30 mm. what is its circumference? use 3.14 f…
94.2 mm
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16. the first ferris wheel, designed by george ferris, was built in 189…
16. $\boldsymbol{1909.12}$ meters 17. $\boldsymbol{288.25}$ inches 18. $\boldsymbol{0.35}$ inches 19. $\boldsymbol{6.28}$ meters
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incorrect 1 try left try once more which of the following ordered pairs…
B. \((0,0)\), C. \((5,-2)\)
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graphing an enlargement with given scale factor scale factor = 2 pre - …
enlargement