Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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from this given statement, select the definition, property, postulate, …
The theorem that if one pair of opposite sides of a quadrilateral is both parallel and congruent, then the quadrilateral is a parallelogram.
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which angle is the included angle for (overline{jl}) and (overline{kl})…
\(\angle L\)
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problem 13: (first taught in lesson 34) select which shortcut can be us…
ASA (Angle - Side - Angle)
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problem 12: (first taught in lesson 36) select which shortcut can be us…
SSS (Side - Side - Side)
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problem 10 in (\triangle klq), (kl>lq) and (kl < kq). which is the smal…
\(\angle K\)
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problem 9: (first taught in lesson 49) in △cds, cd = 16, cs = 12, and d…
\(\angle C\)
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read the false statement below and then tell whether the converse, inve…
Converse: True; Inverse: True; Contrapositive: False
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the pentagon below has an area of 8.3 square centimeters. what is the a…
\(1.5\) cm (the third option)
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read the false statement below and then tell whether the converse, inve…
Converse: True; Inverse: False; Contrapositive: False
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complete this sentence with the best of the choices given. the two para…
D. bases
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a model of a soccer ball is made up of regular pentagons and hexagons. …
The area of the pentagon is \(6.9\) square inches. The area of the hexagon is \(10.4\) square inches.
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the area of the octagon below is 10,391.9 square millimeters what is th…
The approximate perimeter of the octagon is \(371\) mm. The approximate length of one side of the octagon is \(46\) mm.
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complete this sentence with the best of the choices given. a ______ is …
A. trapezoid
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the polygon below is a regular hexagon. what is the approximate length …
\(15.6\) cm
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complete this sentence with the best of the choices given. if both pair…
B. opposite
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complete this sentence with the best of the choices given. if both pair…
E. opposite
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if the diagonals are congruent, then a quadrilateral is a parallelogram…
False
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problem 1: (first taught in lesson 55) if one pair of opposite angles i…
False
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practice with area of regular polygons. a regular pentagon has an apoth…
\(1453\)
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given: △abc, d is the midpoint of (overline{ab}) and e is the midpoint …
15. \(AD = DB\) and \(AE = EC\) 16. \(\triangle ADE\cong\triangle CFE\) (by \(ASA\)) and \(DBCF\) is a parallelogram (one pair of opposite sides \(DB\) and \(CF\) are parallel and…
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given: \\( \\triangle abc \\). d is the midpoint of \\( \\overline { a …
13. Reason: Definition of parallelogram 14. Reason: Opposite sides of a parallelogram are parallel and equal
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find the circumference and arc lengths d = 32.00 cm
The circumference \(C = 100.53\space cm\) (rounded to two decimal places). If we assume a full - circle arc (i.e., \(\theta = 360^{\circ}\)), the arc length \(L = 100.53\space cm\…
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problem 24 given: \\( \\triangle abc \\), d is the midpoint of \\( \\ov…
10. \(AD = BD\) 11. Substitution Property (using \(AD = BD\) from step 10 and \(DA=CF\) from step 8)
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1. find the missing angle: (tan) a) 56.3 b) 33.7 c) 48.2 d) 41.8 2. fin…
1. B. \(33.7\) 2. A. \(53.7\) 3. B. \(36.3\)
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the apothem of a regular hexagon measures 8 cm which are true of the re…
The measure of the angle formed by the radius and the apothem is \(30^{\circ}\); In a regular hexagon, the radius and side length are equal in length; The area of the hexagon is a…
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13. graph the ordered pairs to construct the triangles. a(-6,0), b(1,3)…
Since \(AB = CD\), \(BC = DA\) and \(AC=CA\), by SSS (Side - Side - Side) congruence criterion, \(\triangle ABC\cong\triangle CDA\)
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problem 24 clear given: (\triangle abc), d is the midpoint of (overline…
5. Definition of mid - point.
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pascals triangle to expand $(2x^{2}-z^{2})^{4}$. express your answer si…
$16x^{8}-32x^{6}z^{2}+24x^{4}z^{4}-8x^{2}z^{6}+z^{8}$
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10. find the measure of ∠1. a. 65° b. 55° c. 25° d. 115° e. 75°
A. \(65^{\circ}\)
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use pascals triangle to expand $(2 - 5x^{2})^{4}$. express your answer …
$625x^{8}-1000x^{6}+600x^{4}-160x^{2}+16$
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given: ( \triangle kjl cong \triangle nml ) n is the midpoint of ( over…
7. If two triangles are congruent, their corresponding sides are equal. Also, mid - point divides a line segment into two equal parts. 8. \(KJ = NO\); A quadrilateral with one pai…
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use pascals triangle to expand $(2 - 5x^{2})^{4}$. express your answer …
\(625x^{8}-1000x^{6}+600x^{4}-160x^{2}+16\)
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9. what other information is needed in order to prove the triangles con…
A. \(\angle BAC\cong\angle DAC\)
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8. find the value of x. a. 10 b. 7.5 c. 14 d. 12 e. 8
\(x = 12\), so the answer is D. 12
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kuta software - infinite geometry midsegment of a triangle name date pe…
1. \(\overline{PN}\) 2. \(\overline{MN}\) 3. \(8\) 4. \(8\) 5. \(9\) 6. \(10\) 7. \(18\) 8. \(11.5\)
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finding the area of a regular polygon the regular octagon in the ceilin…
The length of the apothem is approximately \(9.7\) feet. The area of the regular octagon is approximately \(310.4\) square feet.
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practice d: (first taught in lesson 16) two angles are supplementary. t…
\(25\) and \(155\)
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what values of s and t make \\( \\triangle b c d \\cong \\triangle h f …
\(s = 23\), \(t = 7\)
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use pascals triangle to expand $(4 - z)^{5}$. express your answer in si…
$1024 - 1280z + 640z^{2}-160z^{3}+20z^{4}-z^{5}$
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what values of y and z make \\( \\triangle vwx \\cong \\triangle jhi \\…
\(y = 14\), \(z = 3\)
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5. which postulate or theorem can be used to prove that \\( \\triangle …
A. AAS
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what values of a and b make \\( \\triangle hij \\cong \\triangle edc \\…
\(a = 4\), \(b = 13\)
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what values of v and w make \\( \\triangle fgh \\cong \\triangle cab \\…
\(v = 5\), \(w = 20\)
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4. c is the intersection of \\overline{ad} and \\overline{be}. if it ca…
C. \(110^{\circ}\)
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what values of w and x make \\( \\triangle cde \\cong \\triangle pqr \\…
\(w = 4\), \(x = 3\)
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3. in the diagram below, which expression represents x, the degree meas…
A. \(a + b\)
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2. which postulate or theorem can be used to prove that \\( \\triangle …
D. SSS
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b. solve for the value of x. then find the measure of \\( \\angle gmj \…
\(x =-\frac{1}{2}\), \(m\angle GMJ = 33^{\circ}\), \(m\angle HNL=33^{\circ}\)
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1. what is the value of x? a. 33 b. 75 c. 147 d. 162
A. 33
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find the missing measures in this regular hexagon. the length of the ap…
The length of the apothem of the hexagon is about \(13.9\) inches. The perimeter of the hexagon is \(96\) inches. The area of the hexagon is about \(667.2\) square inches.
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1. $\triangle cpncong\triangle biy$. identify all pairs of congruent co…
Corresponding angles: \(\angle C\cong\angle B\), \(\angle P\cong\angle I\), \(\angle N\cong\angle Y\) Corresponding sides: \(CP\cong BI\), \(PN\cong IY\), \(CN\cong BY\)
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a. solve for the value of x. 2x - 15
\(x = 37\)
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find the value of y. 9. a 65° c b f d e y°
\(25\)
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a stop sign is in the shape of a regular octagon. each side measures 12…
744 square inches
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a regular hexagon has an apothem of 14.7 inches and a perimeter of 101.…
\(748.23\)
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the diagram shows a regular pentagon with side length s. explore the ar…
perimeter
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the diagram shows a regular pentagon with side length s. explore the ar…
5
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the diagram shows a regular pentagon with side length s. explore the ar…
\(\frac{1}{2}sa\)
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use this regular pentagon to answer the questions. what is the measure …
The measure of one of the central angles is \(72^{\circ}\). The measure of one of the congruent base angles in \(\triangle ABC\) is \(54^{\circ}\)
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in a triangle with sides ( a = 6 ), ( b = 8 ), and ( c = 10 ), which fo…
A. \(\cos B=\frac{a^{2}+c^{2}-b^{2}}{2ac}\)
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problem 4: a carousel at the theme park goes around once every 55 secon…
The horse on the edge has traveled approximately \(21.24\) meters.
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three interior angles of a quadrilateral measure ( 55^{circ}, 117^{circ…
\(68^{\circ}\)
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determine the additional piece of information needed to show that the t…
\(c\)
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asa stands for angle side angle. it is used to show triangles are congr…
TRUE
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what is the measure of each interior angle of a regular octagon? 45° 60…
\(135^{\circ}\) (the fourth option)
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s as they appear. once you have answered 10 questions correct, stop and…
TRUE
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worksheet: public nuisance law review name: date: part a - definitions …
- **Part A** 1. consent; lawful business 2. occupied; lawful 3. fighting 4. blocking - **Part B** 1. b) Disturbing the peace 2. c) Both a and b 3. a) Loud noise / Disturbing the p…
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what type of polygon is shown? convex heptagon concave heptagon concave…
concave heptagon
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the sum of all but one interior angle of a heptagon is 776°. what is th…
\(124^{\circ}\) (corresponding to the third option)
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which polygon has an interior angle sum of 1080°?
The polygon with 8 sides (the first - looking like a regular octagon among the options, assuming the first one has 8 vertices) has an interior angle sum of \(1080^{\circ}\).
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topic: figures in 1 and 2 dimensions progress: question the movement of…
Points: \(A\), \(B\), \(C\), \(D\); Line segments: \(\overline{AB}\), \(\overline{AC}\), \(\overline{BD}\)
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what is the measurement of the angle shown below? 30° 180° 60° 120°
120°
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which angle is an acute angle? ∠cod ∠coe ∠aod ∠doe
$\angle COD$
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identify all rays and lines in the picture below. rays: \\( \\overright…
Rays: $\overrightarrow{BD}$, $\overrightarrow{AB}$ Lines: $\overleftrightarrow{AC}$
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sentence errors review directions: label each statement below as being …
1. SF 2. CS 3. SF 4. RO 5. CS 6. SF 7. RO 8. SF 9. CS 10. SF 11. CS 12. RO 13. CS 14. SF 15. RO
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a quadrilateral has vertices (3, 5), (6, 9), (10, 9), and (10, 5). what…
\(20\)
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the grain silo on alexas family farm is shaped like a cylinder that is …
\(21.2\) feet
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two triangles are congruent if their corresponding angles and sides are…
TRUE
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△efg is the image of △abg after a dilation centered at point g with a s…
\(\overline{AB}\) is parallel to \(\overline{EF}\); Points \(A\) and \(B\) are the midpoints of \(\overline{EG}\) and \(\overline{FG}\), respectively.
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when two figures are the same shape and size and have the same angle me…
TRUE
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are the two images visually congruent? not congruent congruent
Congruent
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are these two triangles similar or congruent? similar congruent
Congruent
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the law of sines can be written as \\(\\frac{a}{\\sin a}=\\frac{b}{\\si…
\(C\)
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an equilateral and obtuse triangle can be congruent with one another. t…
FALSE
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if two figures are congruent, then they have the same side lengths but …
FALSE
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the sea of faith was once, too, at the full, and round earths shore lay…
A. A girdle
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determine if the triangles are congruent using the definition of congru…
B. $\triangle ABE\cong\triangle DCE$
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if $\\triangle adg\\cong\\triangle bce$, what angle is congruent to $\\…
A. $\angle E$
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define \congruent.\ a congruent figures have different sizes and differ…
B. Congruent figures have the same size and shape.
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22. (l2) identify the converse of the following statement, and determin…
B. If a triangle has three angles with equal measures, then it is equiangular; true ### 23.
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17. (l27) select the pair of lines in the diagram below that must be pa…
\(y = 90\)
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how would the following triangle be classified? isosceles acute isoscel…
equilateral
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independent practice: problem # 1 - identify the asymptote, domain, ran…
asymptote: \(y = 0\) Circle one: increasing domain: \((-\infty,\infty)\) range: \((0,\infty)\) end behavior: As \(x\to-\infty,y\to0\). As \(x\to\infty,y\to\infty\)
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problem # 3 - identify the x - intercept, y - intercept, asymptote, dom…
asymptote: \(y = 0\) Circle one: increasing domain: \(\mathbb{R}\) (or \((-\infty,\infty)\)) range: \((0,\infty)\) end behavior: As \(x\to-\infty\), \(y\to0\). As \(x\to\infty\), …
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4.1 and 4.2 quiz use the figure below for questions 1 - 4. (1pt each) 1…
1. Plane DEF 2. \(\overline{AB}\) 3. \(\overline{AD}\) (or \(\overline{BE}\)) 4. \(\overline{CF}\) (or \(\overline{DE}\), \(\overline{DF}\), \(\overline{EF}\)) 5. Alternate exteri…
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what is the measurement of the angle shown below? 100° 180° 10° 80°
100°
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the three - dimensional figure below is a solid rectangular prism with …
96 cubic centimeters
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find the volume of the box. the volume of the box is cubic feet. the so…
60
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what is the value of x? the value of x is □°.
\( 76 \)
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find the area of the 2d figure below, formed from a triangle and a rect…
44 square centimeters