Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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12. the rectangle below is the result of a dilation. if the scale facto…
The side - lengths of the original rectangle were \(20\) cm and \(14\) cm.
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11. a figure and its dilation are shown. maria thinks the scale factor …
Marsha is correct. The scale factor \(k=\frac{\text{length of a side in the image}}{\text{length of the corresponding side in the pre - image}}\). Using \(GD = 12\space\text{cm}\)…
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10. a figure and its dilation are shown below. mark thinks the scale fa…
Max is incorrect. Mark is correct. The scale factor \(k = \frac{\text{length of dilated figure}}{\text{length of original figure}}=\frac{25.5}{17}=\frac{3}{2}\)
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9. the circle is dilated by a scale factor of 1.05. what is the radius …
The radius of the new circle is \(21m\) and the dilation is an enlargement.
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determining a missing length which expression represents the measure of…
\( x + 5 \)
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8. the rectangle below is dilated by a scale factor of 0.45. what are t…
The dimensions of the new rectangle are \(4.5\) m (length) and \(2.25\) m (width). The dilation is a reduction.
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7. the triangle below is dilated by a scale factor of 5. what are the d…
The dimensions of the new triangle are \(60\) mm and \(90\) mm. The dilation is an enlargement.
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segments rt and su are diameters of circle o. what is m\\overline{srt}?…
\(266^{\circ}\)
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what is the radius of a circle whose equation is $(x + 5)^2+(y - 3)^2 =…
4 units
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circle o has a circumference of 36π cm. what is the length of the radiu…
18 cm
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line segments xy and zy are tangent to circle o. which kind of triangle…
an isosceles triangle
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which two triangles are congruent by the sss theorem? complete the cong…
\(\triangle FGE\cong\triangle WXV\)
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consider a circle whose equation is $x^{2}+y^{2}-2x - 8 = 0$. which sta…
The radius of the circle is 3 units. The center of the circle lies on the \(x\) - axis. The radius of this circle is the same as the radius of the circle whose equation is \(x^{2}…
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use the given information to complete the proof of the following theore…
4. \(m\angle Q+m\angle R + m\angle Q+m\angle R = 360^{\circ}\) 5. \(2(m\angle Q + m\angle R)=360^{\circ}\) 7. Definition of Supplementary Angles 8. \(RQ\) 9. Substitution Property…
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the measure of central angle abc is \\frac{\\pi}{2} radians. what is th…
9π units²
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which two triangles are congruent by the sas theorem? complete the cong…
\(\triangle RQS\cong\triangle HGI\)
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ad and mn are chords that intersect at point b. what is the length of l…
18 units
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what are the values of v and w? work it out not feeling ready yet? thes…
\(v = 52\), \(w = 76\)
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a point is on a circle if the distance from the center of the circle to…
radius.
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which is the endpoint of a ray? point u point t point s point r
point \(S\)
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what are the values of v and w? work it out not feeling ready yet? thes…
\( v = 64^{\circ} \), \( w = 64^{\circ} \)
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what is the measure of arc bec in circle d? 134° 150° 209° 210°
\(134^{\circ}\)
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what are the values of x and y? work it out not feeling ready yet? thes…
\(x = 34\), \(y = 73\)
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which equation results from applying the tangent segment theorem to the…
\(12(a + 12)=10^{2}\)
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which pair of angles shares ray af as a common side? ○ ∠daf and ∠dab ○ …
\(\angle BAF\) and \(\angle FAD\)
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what is the measure of arc qr? 26° 52° 104° 128°
\(104^{\circ}\)
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what are the values of x and y?
\(x = 34^{\circ}\), \(y = 73^{\circ}\)
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what are the values of x and y?
\(x = 73^{\circ}\), \(y = 34^{\circ}\)
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which circle has a radius that measures 10 units?
The circle with center \(D\) has a radius that measures \(10\) units.
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line segment kl is tangent to circle j at point k. what is the length o…
10 units
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state how the triangles can be proven congruent, if possible. ∠b ≅ ∠o a…
$\angle B\cong\angle O$ alt. int. $\angle s\cong$, $\angle BWA\cong\angle OWL$ vertical $\angle s\cong$, $ASA$
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which is true regarding secants and chords? chords intersect the perime…
Chords and secants intersect the perimeter of a circle twice. Chords are segments entirely within a circle, while secants are lines or rays that extend through a circle.
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the segments mp and ml are perpendicular chords in circle o. mp = 10 an…
The radius of circle \(O\) is \(13\). \(\overline{LP}\) is a diameter of circle \(O\). \(\angle LMP\) intercepts a semicircle.
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in the diagram of circle a, what is ( mangle lmn )? ( 75^{circ} ) ( 90^…
\(90^{\circ}\) (the second option)
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point g is the center of the small circle. point x is the center of the…
\(676\pi\) \(cm^{2}\) (the fourth option)
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copy the triangle and highlight congruent parts. mark and highlight add…
\(\overline{HG}\cong\overline{RQ}\)
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line segment on is perpendicular to line segment ml. what is the length…
3 units
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circle p, diameter qs measures 20 centimeters. what is the approximate …
9.9 centimeters
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find a completely simplified expression for the area of the (blue) shad…
\(4x^{2}-81\)
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consider circle y with radius 3 m and central angle xyz measuring 70°. …
3.7 meters
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what is the area of the sector that is not shaded? 12π units² 24π units…
\(120\pi\) units\(^{2}\) (the third option)
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in circle d, ∠edh ≅ ∠edg. what is the length of (overline{jg})? 4 units…
4 units
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which equation represents the circle described? the radius is 2 units. …
\((x - 4)^{2}+(y - 3)^{2}=2^{2}\) (the third option)
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in circle o, mp is a diameter. if m\\overarc{np} is 6 more than 5 times…
\(151^{\circ}\) (the third option)
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what is the area of the shaded sector of the circle? 20π units² 40π uni…
\(180\pi\) units\(^{2}\) (the third option)
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the chords intersect at point u. what is the value of y? 2 4 6 8
\(y = 6\)
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liliana is making a vase with a circular base. she wants the area of th…
The circle with radius \(7\space cm\) (the second option)
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in quadrilateral qrst, (angle rst) measures ((5x + 15)^{circ}). angle t…
\(105^{\circ}\) (the third option)
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state how the triangles can be proven congruent, if possible. aas asa s…
AAS
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which circle has a central angle that measures 40°?
The second circle (the one with the \(40^{\circ}\) angle having its vertex at the center \(U\) of the circle) has a central angle that measures \(40^{\circ}\).
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state how the triangles can be proven congruent, if possible. aas asa s…
ASA
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for each quantity, decide whether circumference or area would be needed…
a. Circumference. b. Area. c. Area. d. Circumference.
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the face of a clock is divided into 12 equal parts. the radius of the c…
The circumference of the clock is approximately 62.8 inches; The minor arc measure when one hand points at 12 and the other hand points at 4 is \(120^{\circ}\); The length of the …
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state how the triangles can be prov congruent, if possible. ssa, not co…
HL
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line segment st is congruent to which line segment? sk ru ut tk
\(\overline{UT}\)
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3 select all of the true statements. a. π is the area of a circle of ra…
A. \(\pi\) is the area of a circle of radius 1. D. \(\pi\) is the circumference of a circle of diameter 1. E. \(\pi\) is the constant of proportionality relating the diameter of a…
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all tangents to the circle are congruent and form a square. the perimet…
\(3\) cm
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line segment bd passes through the center of circle c, bh = a, and hd =…
12.5 units
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consider circle n with radius 30 cm and $\\theta=\\frac{\\pi}{6}$ radia…
15.7 centimeters
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angle g is a circumscribed angle of circle e. what is the measure of an…
\(180^{\circ}-2x^{\circ}\)
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copy the triangles and highlight congruent parts. mark and highlight ad…
Vertical angles congruent, SAS.
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3 select all of the true statements. a. π is the area of a circle of ra…
A. \(π\) is the area of a circle of radius \(1\) (True, since \(A=\pi r^{2}\) and \(r = 1\) gives \(A=\pi\)). C. \(π\) is the circumference of a circle of diameter \(1\) (True, si…
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copy the triangles and highlight congruent parts. mark and highlight ad…
The correct answer is “Reflexive Property, ASA”
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solve for x and graph the solution on the number line below. 14 > x + 3…
Inequality Notation: \(5 < x < 11\) To graph on the number - line: Place an open circle at \(x = 5\) (since \(x>5\), \(x\) is not equal to 5) and another open circle at \(x = 11\)…
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end-of-unit assessment (a) a circle has a radius of 10 cm. what is the …
A. \(40 + 20\pi\), E. \(10 + 10+10\pi+10 + 10+10\pi\)
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the movement of the progress bar may be uneven because questions can be…
200 square feet
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note: angles not necessarily drawn to scale. $x = square$
\(20\)
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the movement of the progress bar may be uneven because questions can be…
74
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look at ∠xvy and ∠z vy in the image below. which of the following is th…
complementary
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what ratio represents tanc in the triangle below? what ratio represents…
\(\frac{8}{15}\)
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find the measure of \\( \\angle rus \\).
\(90^{\circ}\)
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identify a set of parallel lines and a set of perpendicular lines in th…
$\overleftrightarrow{AB}\parallel\overleftrightarrow{CD},\overleftrightarrow{AB}\perp\overleftrightarrow{EF}$ (Option3)
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on a site plan, what is meant by a scale that reads scale: 1\ = 20-0\? …
every inch represents \(20'\)
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find the value of x in the triangle shown below. x = show calculator
\(50\)
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find the value of ( x ) in the triangle shown below. ( x=square^{circ} …
\(107\)
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which of the following is not represented in the image below? ray ca li…
Ray \(CA\)
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find the value of in the triangle shown below. x= related content angle…
\(x = 87\)
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find the value of $x$ in the triangle shown below. $x = square^{circ}$
\(49\)
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find the value of $x$ in the triangle shown below. $x = square^{circ}$ …
\(34\)
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find the value of in the triangle shown below. x= related content angle…
\(28\)
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find the value of x in the triangle shown below. x = related content an…
\(96\)
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find the value of x in the triangle shown below. x = related content an…
\(32\)
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the angle measurements in the diagram are represented by the following …
\( 45 \)
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4, given ( j(-8,-18), k(2,7), l(-1,9) ), and ( m(x,4) ), find the value…
\(x=-3\)
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which two triangles are congruent by the sss theorem? complete the cong…
$\triangle HGI\cong\triangle YXW$
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what are the values of x and y? x = y =
\(x = 34^{\circ}\), \(y = 73^{\circ}\)
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what is the value of t? w 56° 100° x t= submit work it out not feeling …
\(t = 56^{\circ}\)
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what is the value of s? s= ⚠ □ °
\(114\)
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what are the values of x and y? x = y =
\(x = 60^{\circ}\), \(y = 60^{\circ}\)
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what are the values of x and y? h x 60° g y f x = ° y = ° submit
\(x = 60\), \(y = 60\)
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what are the values of u and v? u = v = submit work it out not feeling …
\(u = 55\), \(v = 70\)
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what are the values of u and v? work it out not feeling ready yet? thes…
\(u = 55\), \(v = 70\)
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what are the values of x and y?
\(x = 36\), \(y = 72\)
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the line shown has a slope of \\( \\frac { 3 } { 2 } \\) between point …
A. \(\frac{MN}{LM}=\frac{QR}{QS}\)
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using a table, compare the number of yellow triangles to white triangle…
C. 110
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select the table that represents the ratio of blue triangles to white t…
D.
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using a table, compare the number of black to white circles. if the rat…
A. 70
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pre algebra #7 5.) 12 ½ in. 8 ½ in. 6.) 10 in. 9.2 ft. perimeter = peri…
5. Perimeter \( = 31\) in, Area \(=42.5\) in² 6. Perimeter \( = 36.8\) ft, Area \(=84.64\) ft² 7. Circumference \(=13.188\) m, Area \(=13.8474\) m² 8. Perimeter of Triangle \(=23\…
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mixed practice on perimeter and area 1) perimeter = 2) perimeter = find…
1. \(35\frac{5}{8}\text{ in}\) 2. \(29\text{ in}\) 3. Perimeter \(34\text{ ft}\), Area \(60\text{ ft}^2\) 4. Circumference \(50.24\text{ in}\), Area \(200.96\text{ in}^2\)
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7.) a = 8.) a = challenge problems: find the area of the shaded regions…
7. \(153.86\) in² 8. \(25\) mm² 9. \(37\) 10. \(310\)