Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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2. what is line r called and what are ∠1 and ∠2? line r is the perpendi…
Line \(r\) is the transversal and \(\angle1\) and \(\angle2\) are consecutive interior angles.
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1 which of the angles in the picture are vertical angles? angles 1 and …
None of the angle pairs are vertical.
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planes q and r are parallel. lines a and b are shown on planes q and r,…
They are skew lines.
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a pine trees shadow is 56 yards long. not far away, a clock towers shad…
\(23.1\)
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find the perimeter and area of this figure. p = ? units a = units² roun…
\(P = 14.44\) units, \(A = 18\) units²
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find w. write your answer as a whole number or a decimal. do not round.…
\(4\)
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in the diagram, the length of segment bc is 23 units. what is the lengt…
33 units
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find the perimeter and area of this figure. p = ? units a = units²
\(P = 21.24\) units, \(A = 21\) units\(^2\)
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mateo found that a bus - stop sign that is 5.6 feet tall casts a shadow…
\(11.2\)
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find the perimeter and area of this figure. p =? units a = units²
\(P = 22\) units, \(A = 30\) units²
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consider the diagram. which line segment has the same measure as \\( \\…
\(\overline{TR}\)
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if a wooden column is 9 meters tall and casts a shadow 12 meters long, …
\(16\)
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find the perimeter and area of this figure. p = units a = units²
\(P = 24\) units, \(A=24\) units²
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a shadow 16 feet long is cast by a birch tree that is 30 feet tall. wha…
\(32\)
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consider the diagram. lines ac and rs are coplanar. parallel. perpendic…
skew.
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when the scale factor of a dilation is less than one, the dilation is a…
True
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a (overline{jk}congoverline{je}) b (angle ljkcongangle fje) c (overline…
B. \(\angle LJK\cong\angle FJE\)
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after a dilation, the coordinates of c are 3, -6. what is the dilation …
\((3x,3y)\)
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7. what is the relationship between angles 3 and 5 in the picture? the …
The angles are equal in degree measure.
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6. which of the angles in the picture are vertical angles? none of the …
None of the angle pairs are vertical.
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plot the image of d under a dilation about the origin with scale factor…
The image of point D under the dilation has coordinates \((8,\frac{8}{3})\). Plot this point on the coordinate - plane.
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what property allows a figure to be divided into parts that are mirror …
B. Symmetry
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4 ∠3 and ∠6 are ______ because they are congruent/corresponding angles …
supplementary/same - side interior angles
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what is the measure of ∠4? 100° 45° 50° 80°
\(80^{\circ}\)
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to calculate the measure of an angle in a regular polygon with 12 sides…
B. \(S=(n - 2)\times180^{\circ}\), then divide by \(n\)
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2 what is line r called and what are ∠1 and ∠2? line r is the transvers…
Line \(r\) is the transversal and \(\angle1\) and \(\angle2\) are a linear pair.
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plot the image of a under a dilation about the origin with scale factor…
The image of point \(A(3, - 3)\) after dilation about the origin with scale factor \(\frac{8}{3}\) is \((8,-8)\). Plot the point \((8,-8)\) on the coordinate - plane.
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1. ∠2 and ∠8 are ______ because they are ______ congruent/consecutive a…
supplementary/consecutive angles
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write true or false in each blank. 11. people with average or high inco…
11. False 12. True 13. False 14. False 15. True 16. False 17. False 18. True
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using the triangle inequality theorem, can a triangle be formed with si…
d. No
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what is the formula to calculate the sum of interior angles of a polygo…
B. \(S=(n - 2)\times180^{\circ}\)
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triangle abc is the dilation of triangle abc. which algebraic represent…
\((x,y)\to(1/2x,1/2y)\)
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what is the sum of the interior angles of a pentagon? a. 180 degrees b.…
C. 540 degrees
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how many lines of symmetry are in a regular octagon? a. 6 b. 8 c. 7 d. 9
B. 8
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plot the image of s under a dilation about the origin with scale factor…
The coordinates of the image of \( S \) are \( (-4,8) \). Plot this point on the coordinate - plane.
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which angles are less than 90 degrees? a. right angle b. obtuse angle c…
C. Acute Angle
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an angle that measures exactly 180 degrees is known as? a. straight b. …
A. Straight
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how many degrees does each interior angle of a regular pentagon measure…
B. 108 degrees
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a b c d
B. \(\angle LJK\cong\angle FJE\)
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for which of the following polygons can the triangle inequality theorem…
d. Any triangle
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3 are the given triangles congruent? if so, how? a asa b sas c sss d aas
D. AAS
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after a dilation, the coordinates of c are 3, -6. what is the dilation …
\((3x,3y)\)
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the triangle theorem states that the sum of the lengths of any two side…
1. Inequality 2. Symmetry
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note: figure not drawn to scale. in the right triangle shown, what is t…
C. \(\sqrt{3}\)
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the perimeter of a square can be expressed as 4(62) units. what is the …
\(62\)
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an angle that measures exactly 90 degrees is known as a angle. an angle…
right, obtuse, straight, protractor, sides
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7. if overrightarrow{be} is a perpendicular bisector of overline{ad}, w…
\(\overline{AC}\cong\overline{CD}\) (the third option)
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6. if \\( \\overrightarrow{jh} \\) is the perpendicular bisector of \\(…
\(21\) (corresponding to the fourth option in the multiple - choice list)
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5. if de is the perpendicular bisector of ac, which of the following st…
\(\overline{BD}\cong\overline{BE}\)
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2 note: figure not drawn to scale. in the triangle shown, ( pq = qr ). …
D. 39
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3. which is a characteristic of a perpendicular bisector? it intersects…
It intersects a segment at a right angle.
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2. what kind of relationship do $overleftrightarrow{cf}$ and $overline{…
Skew
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1. what kind of relationship do $overleftrightarrow{qr}$ and $overline{…
perpendicular
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the points c and c are depicted on the graph below. the point c is obta…
\(5\)
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find the area. 22 cm a =? cm² a = πr² use π = 3.14
\(379.94\)
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find the area. 13 cm a =? cm² a = πr² use π = 3.14
\(530.66\)
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find the area. 11 in a = ? in² a = πr² use π = 3.14
\(379.94\)
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name: mr. laughlin date: period: 2.3 parallel lines / transversals thms…
\( x = 10 \), \( y=\frac{88}{3}\approx29.33 \), \( z = 16 \) \( \angle A = 80^{\circ} \), \( \angle B = 100^{\circ} \), \( \angle C = 80^{\circ} \), \( \angle D = 80^{\circ} \), \…
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directions: given the vertices, determine the quadrilaterals most speci…
Parallelogram
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find the area. 5 cm a = ? cm² a = πr² use π = 3.14
\(78.5\)
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find the area. 14 ft a = ? ft² a = πr² use π = 3.14
153.86
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15 fill in the blank 1 point determine whether the lines ( l_1 ) and ( …
perpendicular
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determine whether the lines ( l_1 ) and ( l_2 ) that pass through the p…
neither
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¿cuántos lados tiene un polígono regular si cada ángulo interior mide?1…
El polígono regular tiene \(15\) lados.
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27 determine if the side lengths could form a triangle. 10 m, 5 m, 5 m
No, the side lengths \(10\space m\), \(5\space m\), \(5\space m\) cannot form a triangle.
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¿cuántos lados tiene un polígono regular si cada ángulo interior mide?1…
\(40\)
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name: date: period: mr. laughlin 2.3 parallel lines / transversals thms…
\(x = 10\), \(y = 7.8\), \( \angle A=37^{\circ}\), \( \angle B=143^{\circ}\), \( \angle C=37^{\circ}\)
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¿cuántos lados tiene un polígono si la suma de los ángulos interiores e…
\(n = 6\)
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¿cuántos lados tiene un polígono regular si cada ángulo interior mide?1…
El polígono regular tiene \(120\) lados.
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find the circumference. 12 ft c = ? ft c = πd = 2πr use π = 3.14
\(75.36\)
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find the circumference. c = ? m c = πd = 2πr use π = 3.14
\(25.12\)
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¿cuántos lados tiene un polígono regular si cada ángulo interior mide?1…
24
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find the circumference. 14 in c = ? in c = πd = 2πr use π = 3.14
\(87.92\)
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which pairs of figures below are congruent?
First pair: No, Second pair: No, Third pair: Yes, Fourth pair: No
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find the circumference. 16 ft c = ? ft c = πd = 2πr use π = 3.14
\(50.24\)
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find the circumference. 20 ft c = ? ft c = πd = 2πr
\(62.8\)
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6. the hypotenuse of a right isosceles triangle is 5 cm long. a) write …
The area of the right - isosceles triangle is \(\frac{25}{4}\) \(cm^{2}\).
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pregunta ¿cuántos lados tiene un polígono si la suma de los ángulos int…
El polígono tiene \(8\) lados.
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21 determine if the side lengths could form a triangle. 10 in, 10 in, 1…
Yes, the side - lengths \(10\) in, \(10\) in, \(10\) in can form a triangle.
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find the value of x. (3x - 1)° (8x + 3)° work must be shown on the work…
\(x = 8\)
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ángulos interiores de polígonos (nivel 2) puntuación: 0/10 penalización…
18
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here are two triangles. which statement is true? △bac≅△dca by the asa c…
\(\triangle BAC\cong\triangle DAC\) by the \(SAS\) Congruence Postulate.
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which postulate proves the two triangles congruent? asa congruence post…
SSS Congruence Postulate
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which segment is the included side between angles\\( \\angle bac \\)and…
AB
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which segment is the included side between angles \\( \\angle b a c \\)…
AB
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ángulos interiores de polígonos (nivel 2) puntuación: 0/10 penalización…
La suma de los ángulos interiores de un hexágono regular es \(720^{\circ}\).
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¿cuál es la suma de 2 de los ángulos interiores de un hexágono? respues…
\(720^{\circ}\)
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examples 3 - 5 triangle abc has coordinates a(2, 0), b(-1, 5), and c(4,…
9. \(A'(2,0)\), \(B'(-1,-5)\), \(C'(4,-3)\) 10. \(A'(-2,0)\), \(B'(1,5)\), \(C'(-4,3)\) 11. \(A'(2,2)\), \(B'(-1,7)\), \(C'(4,5)\) 12. \(A'(5,-4)\), \(B'(2,1)\), \(C'(7,-1)\) 13. …
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use dice to measure the line. the line is about dice long.
Assuming the line is measured correctly and it takes 4 dice (this is a sample count as the actual image measurement is not precise in text - only view). The answer is 4.
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pregunta ¿cuál es la suma de 2 de los ángulos interiores de un hexágono…
\( 720^{\circ} \)
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the length of a rectangle is 2.5 in and the width is 4.9. what is the a…
A. \(12.25\ in^{2}\)
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¿cuál es la suma de 11 de los ángulos interiores de un dodecágono regul…
\(1800^{\circ}\)
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¿cuál es la suma de 11 de los ángulos interiores de un dodecágono regul…
\( 1800^{\circ} \)
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name: date: period: 2.3 parallel lines / transversals thms. app. direct…
\( \angle h = 60^{\circ} \), \( \angle p = 117^{\circ} \), \( \angle w = 63^{\circ} \), \( \angle x = 57^{\circ} \), \( \angle z = 60^{\circ} \)
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pregunta ¿cuántos lados tiene un polígono si la suma de los ángulos int…
24
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pregunta ¿cuántos lados tiene un polígono regular si cada ángulo interi…
360
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show all work and circle your answers. 1. simplify: \\( \\frac { t + 1 …
1. \(\frac{5}{4(t - 1)}\) 2. \(x - 8\)
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pregunta ¿cuántos lados tiene un polígono regular si cada ángulo interi…
45
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here are two triangles. which statement is true? △tsu≌△rsu by the asa c…
\(\triangle TSU\cong\triangle RSU\) by the \(AAS\) congruence theorem.
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∠dca and ∠dcb are right angles. what else is needed to prove △adc≅△bdc …
DA≅DB only