Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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solve the inequality and graph the solution. 1 ≤ (k - 3)/5 plot the end…
The solution of the inequality is $k\geq8$. On the number - line, we place a closed circle at 8 (because the inequality is $\geq$) and draw a ray to the right of 8.
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name the quadrant or axis where each point lies. point a the x - coordi…
Point A: Negative x - axis Point B: Third quadrant
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domain: range:
Domain: $(-\infty,\infty)$ Range: $(-\infty,\infty)$
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a rectangular room has a length of 12 feet and a width of 15 feet. a co…
Length (ft): 2 Width (ft): 2.5 The perimeter of the actual room is 6 times the perimeter on the blueprint.
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write an indirect proof of the converse of the corresponding angles the…
The proof shows that if $\angle1\cong\angle2$, then $\ell$ is parallel to $n$ by contradiction.
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question 8 (multiple choice worth 1 points) (04.03 mc) find the perimet…
15.7
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this diagram is a straightedge and compass construction. a is the cente…
We know \(\triangle ABC\) is equilateral because \(AC = AB\) (radii of circle with center \(A\)), \(BC = BA\) (radii of circle with center \(B\)), and by the transitive property \…
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in the figure, m∠7 = 100°. find the measure of ∠2.
$80$
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solve the inequality and graph the solution. -1 > \\frac{s + 1}{3} plot…
The solution of the inequality is $s < - 4$. On the number - line, we use an open circle at $-4$ (because the inequality is strict, $s$ cannot equal $-4$) and draw a ray to the le…
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point s is on line segment $overline{rt}$. given $rs = 10$ and $st = 7$…
17
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point u is on line segment $overline{tv}$. given $tv = 3x$, $uv = x + 1…
1
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classify each figure as a line, ray, or line segment. then, show how to…
(a) Type: ray, How to write it: $\overrightarrow{LM}$ (b) Type: line segment, How to write it: $\overline{GH}$ (c) Type: line, How to write it: $\overleftrightarrow{JK}$
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lesson 2 practice problems 1. this diagram was created by starting with…
1. To construct line CD: First, draw two circles with centers A and B and radius equal to AB. Then, draw a line through the intersection points C and D of the two circles using a …
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answer the questions below. write your answers in simplest form. (a) a …
(a) 15 yd (b) 6 ft
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draw a line representing the ise\ and a line representing the un\ of th…
\(\frac{2}{3}\)
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s is the midpoint of $overline{rt}$. if $rs = 9x$ and $st = x + 8$, wha…
9
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solve the inequality and graph the solution. 9(w + 2) + 10 > 1 plot the…
The solution of the inequality is $w > - 3$. On the number - line, we have an open circle at $-3$ and a ray pointing to the right.
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identify two segments that are marked parallel to each other on the dia…
Segment WV and segment XU
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which net represents this shape?
The third net (the one with two circles and a rectangle)
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answer the questions below. write your answers in simplest form. (a) a …
(a) 3 cm (b) 8 m
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select all the pentagons.
The red - shaped figure and the green - shaped figure are pentagons.
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the diagram below is an oblique, or slanted, rectangular prism. not all…
Plane $OPQR$, Plane $PQUT$
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find the perimeter of the polygon with the vertices x(-1, 3), y(3, 0), …
$14.47$
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find the area of the triangle below. be sure to include the correct uni…
210 ft²
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which graph has a slope of -4/5?
We need to calculate the slope for each graph using two points on the line of the graph with the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$ to determine which graph has a slope of $\…
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explore the properties of angles formed by two intersecting chords. 1.t…
$210$
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explore the properties of angles formed by two intersecting chords. √ 1…
\(210\)
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explore the properties of angles formed by two intersecting chords. 1.t…
105
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applying theorems what are the measures of arc jk and ∠kij? measure of …
Measure of $\widehat{JK}=104^{\circ}$ Measure of $\angle KIJ = 52^{\circ}$
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what is the measure of arc au? 44° 50° 64° 92°
C. \(64^{\circ}\)
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pr and qs are diameters of circle t. what is the measure of sr? 50° 80°…
$100^{\circ}$
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justifying the second corollary to the inscribed angle theorem. explain…
An angle inscribed in a semi - circle is a right angle because by the inscribed - angle theorem, which states that the measure of an inscribed angle is half the measure of the cen…
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proving the first corollary to the inscribed angle theorem given: ∠kjl …
3. inscribed angle thm. 4. inscribed angle thm. 5. substitution property
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applying the third corollary to the inscribed angles theorem. the measu…
\(m\angle B = 110\) \(m\angle D = 70\)
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identifying congruent angles ∠fae measures 72°. what other angle must m…
D. ∠FBE
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applying the second corollary to the inscribed angles theorem. the meas…
49.5
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applying the angle formed by a tangent and chord theorem the measure of…
$81$
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what is the slope of a line parallel to the line shown on the coordinat…
2
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practice with inscribed angle theorems and corollaries and the angle fo…
$168^{\circ}$
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given: a circle with inscribed quadrilateral abcd. prove: ∠a and ∠c are…
supplementary
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what is the slope of a line parallel to the line shown on the coordinat…
3
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given: a circle with inscribed quadrilateral abcd. prove: ∠a and ∠c are…
$\frac{a}{2}$
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given: a circle with inscribed quadrilateral abcd. prove: ∠a and ∠c are…
$360 - a$
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enter the area of the room. game room square centimeters
50 (assuming the counted length and width values as in the example above; actual answer depends on the real - counted values of length and width from the grid)
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finding area by counting square units mastery check what is the area of…
B. 27 square units
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find the area of the rectangle. a 45 square units b 70 square units
B. 70 square units
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find the area of the polygon. square units
40
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1. r, q, and s are collinear and q is between r and s. work and draw a …
$RQ = 32$, $QS = 11$
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line is defined as a a. a geometric shape that is open and moves from o…
A. a geometric shape that is open and moves from one point to another.
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which of the following is not a visual element of art? a. color b. text…
D. angle
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find the dimensions of the cube. volume = 216 cm³
$6$
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find the dimensions of the cube. volume = 64 in.³
$4$ in
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3 from unit 1, lesson 5 this diagram is a straightedge and compass cons…
3. Steps of angle - bisector construction: - Place compass at A, draw arc intersecting sides of ∠BAC at B and C. - With same compass width, draw arcs from B and C, intersect at D.…
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5 from unit 1, lesson 4 this diagram is a straightedge and compass cons…
The blue triangle $\triangle VZW$ is equilateral because its sides are formed by the radii of the circles in the straight - edge and compass construction, making all its sides equ…
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1 which of the following constructions would help to construct a line p…
1. C. construction of a perpendicular bisector through C 2. B. Lines l and n are perpendicular. C. Lines m and n are perpendicular. D. Lines l and m are parallel.
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find the distance between the points x and y. round your answer to the …
$10.1$
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find the distance between point c and d. round your answer to the neare…
$7.3$
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find the distance between points l and m. round your answer to the near…
$8.9$
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find the distance between the two points rounding to the nearest tenth …
$7.8$
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find the distance between the two points rounding to the nearest tenth …
$9.2$
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what is the length of fg , when m is the midpoint of fg ? f m g 3x - 4 …
58
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what is the length of fg, when m is the midpoint of fg?
16
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point m is the midpoint of segment fg. find the value of x. f m g 3x - …
$x = 11$
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point m is the midpoint of segment fg. find the value of x. f m g 5x+13…
$x = - 1$
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given the endpoint (5,10) and the midpoint (-5,8), find the other endpo…
$(-15,6)$
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find the distance between the point (1,2) and the point (-4,-1). round …
$5.8$
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given the endpoint (5,0) and midpoint (-3,3). find the other endpoint. …
$(-11,6)$
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find m∠iuv if m∠tuv = 13x + 1, m∠tui = 84°, and m∠iuv = 5x + 5.
$60$
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find the sine, cosine, and tangent of ∠r. simplify your answers and wri…
\(\sin(R)=\frac{45}{53}\) \(\cos(R)=\frac{28}{53}\) \(\tan(R)=\frac{45}{28}\)
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find m∠zji if m∠kjz = x + 53, m∠kji = 176°, and m∠zji = x + 137. answer…
\(130\)
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find x if (mangle vfg=x + 80), (mangle efg = 140^{circ}), and (mangle e…
\(-5\)
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m∠cdl = 38°, m∠cde = 13x + 15, and m∠lde = 11x - 1. find x.
$x = 11$
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solve for m∠rst if m∠rsu = 46° and m∠ust = 41°.
$87^{\circ}$
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find the equation for the circle with center (-4,4) and passing through…
$(x + 4)^2+(y - 4)^2=113$
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if m∠aeb = 72° and m∠ced = 44°, find the m∠bec. answer attempt 1 out of…
$64$
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this is the only question in this section. question solve for x. answer…
$x = \frac{19}{3}$
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solve for m∠abc. answer attempt 1 out of 2 m∠abc =
$115$
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jl and gk are perpendicular. find the value of x and m∠gkf if the m∠fkl…
\(x = 18\), \(m\angle GKF=56^{\circ}\)
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read the excerpt from the most dangerous game. he struggled up to the s…
C. A certain cool - headedness had come to him; D. Doggedly he swam in that direction, swimming with slow, deliberate strokes, conserving his strength.
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ab and ec are perpendicular. find the value of x and m < heb if the mea…
\(x = 28\) \(m\angle HEB=56^{\circ}\)
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find the value of x. answer - attempt 1 out of 2 additional solution no…
$10$
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solve for the value of p.
$p = 21$
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what is the volume of a cube with sides of length 6\? o 6 o 36 o 216 o …
C. 216
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wk//4 act prep solve for x. 3 45 x o 4 o 5 o 3\\sqrt{2} o 2\\sqrt{3}
C. $3\sqrt{2}$
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find the midpoint of the points (2, 7) and (8, 4). (6, 3) (\\frac{11}{2…
C. $(5,\frac{11}{2})$
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draw a line representing the ise\ and a line representing the un\ of th…
1
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inequality: $12x>4 + 4(-5x - 9)$ inequality notation graph
Inequality Notation: $x > - 1$ Graph: An open circle at $x=-1$ on the number - line and a line extending to the right.
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23. which of the following best describes a rotation? a. an increase in…
23. C. A turn around a point 24. C. Dilation 25. A. The sign of the x and y values is inverted 26. D. Reflection 27. A. Dilation
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18. which transformation will not change the size of a figure? a. compr…
18. c. Translation 19. a. Dilation 20. a. The figure changes size. 21. c. (3,4) 22. b. Reflection
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10. if $overrightarrow{bd}$ bisects $angle cbe$, $bcperp ba$, $mangle c…
$32^{\circ}$
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14. which transformation can change the orientation of a figure? a. ref…
14. a. Reflection 15. a. Translation 16. c. The polygon appears unchanged. 17. c. (-x, -y) 18. No complete option list for 18, but if considering rigid - motions, translation, rot…
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10. what happens to a point (x, y) if it is reflected across the y - ax…
10. d. $(-x,y - 4)$ 11. d. Preserves them 12. a. It mirrors it across a line 13. a. It looks the same as it did before rotating
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5. how does a dilation affect the size of a figure? a. it reverses b. i…
5. d. It changes 6. c. A two - dimensional, closed figure with straight sides 7. c. (6,8) 8. b. Reflection 9. None of the options provided are correct. The correct term is rotatio…
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if m∠def=(7x + 4)°, m∠deg=(5x + 1)°, and m∠gef = 23°, find each measure…
$x = 10$ $m\angle DEG=51^{\circ}$ $m\angle DEF=74^{\circ}$
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a transformation is applied to create a new figure on the coordinate gr…
Translations, rotations, and reflections preserve congruence.
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1. which sequence correctly describes moving a figure 3 units left, rot…
1. d. Translation, rotation, reflection 2. c. (9,6) 3. c. Translation 4. b. (2,-1) 5. (No options provided completely in the question for this part. But dilation changes the size …
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what is the symbol for equal? what is the symbol for similar? what is t…
What is the symbol for equal? = What is the symbol for similar? ∼ What is the symbol for congruent? ≅ Which types of transformations do not preserve congruence? Dilation
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14a. which rotation about the origin is (x, y) → (y, -x)? a. 270° ccw b…
14a. A. $270^{\circ}$ CCW 14b. B. $(6,-1)$ 14c. B. $(-5,2)$ 14d. B. $(-8,0)$
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13. 180° rotation 13a. which rotation about the origin results in (x,y)…
13a. A. 180° 13b. A. \((-2,3)\) 13c. A. \((4,-5)\) 13d. A. \((0,-7)\)
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10. describe a translation 10a. which describes (x,y)→(x + 5,y - 2)? a.…
10a. A. 5 right, 2 down 10b. C. 3 left, 4 up 10c. B. 7 left, 1 down 10d. B. 6 right, 2 up 11a. A. y - axis 11b. B. x - axis