幾何
三角形、円、座標幾何、証明問題。
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14) match. given: \\( \\delta a b c ; \\overleftrightarrow { b d } \\pe…
The length of \(\overline{AD}\) is \(4\) inches. By the Isosceles Triangle Theorem (the perpendicular from the vertex of an isosceles triangle to the base bisects the base).
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given: ( ad perp ba ); ( cd perp bc ); ( ad cong cd ) prove: ( overline…
2. a. \(\perp\) 3. e. right \(\triangle\) 4. g. \(\overline{BD}\cong\overline{BD}\) 5. f. \(\triangle BAD\cong\triangle BCD\) 6. d. CPCTC
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find f. write your answer as an integer or as a decimal rounded to the …
\(10.3\)
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16) match. given: \\( \\angle d e f ; \\overrightarrow{e i} \\) bisects…
The length of \(HI\) is \(3\) in. By the Angle Bisector Theorem.
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add or remove commas, if necessary, until the sentence has correct punc…
After scoring the winning goal, Mirabel Madrigal jumped up and down, ran around in circles, and did two backflips.
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48. the perimeter of a square can be calculated by: a. dividing one sid…
C. Multiplying one side by 4
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17) match. given: \\( \\angle d e f \\); point \\( i \\) in the interio…
The measure of \(\angle DEI\) is \(23^{\circ}\). By the Angle Bisector Theorem.
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18) choose the correct answer. what statement in the converse of the an…
The point is in the interior of the angle.
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rt and dw are parallel lines. which angles are alternate exterior angle…
\(\angle RBQ\) and \(\angle WVS\)
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1. select the correct answer. an irregular polygon is equiangular but n…
equilateral
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which angles are corresponding angles? ∠ijg and ∠hgj ∠ijg and ∠fge ∠ijg…
\(\angle IJG\) and \(\angle HGE\)
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2. select the correct answer. a diagonal of a polygon is a segment that…
2. vertices 3. equiangular
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fh and ik are parallel lines. which angles are supplementary angles? ∠k…
\(\angle KJG\) and \(\angle IJG\)
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describe a composition of transformations that maps abcd onto abcd. ref…
Rotation: 90 degrees, Translation
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4. select the correct answer. at least one diagonal in a(n)____polygon …
- 4. concave - 5. convex
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bd and eg are parallel lines. which angles are corresponding angles? ∠b…
$\angle BCF$ and $\angle GFH$
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42. the measures of consecutive interior angles when a transversal cuts…
d. Supplementary
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fh and ik are parallel lines. which angles are corresponding angles? ∠h…
$\angle HGJ$ and $\angle KJL$
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6. find the sum of the measures of the interior angles of the regular h…
\(720^{\circ}\) (the first option)
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describe a composition of transformations that maps abcd onto abcd rota…
Rotation: 180 degrees
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7. find the measure of each of the interior angles of the regular hexag…
\(120^{\circ}\)
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name the transformation as a rotation, translation, or reflection. rota…
Translation
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41. to calculate the measure of an angle in a regular polygon with 12 s…
D. \(S=(n - 2)\times180^{\circ}\), then divide by \(n\)
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name the transformation as a rotation, translation, or reflection. tran…
Rotation
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8. find the measure of each of the exterior angles of the regular hexag…
\(60^{\circ}\) (corresponding to the first option)
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find the magnitude of (overrightarrow{ij}) with (i(-9,4)) and (j(-9,9))…
\(5\)
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name the transformation as a rotation, translation, or reflection. tran…
Translation
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9. select the correct answer. an isosceles triangle has at least ____ c…
two
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10. select the correct answer. a corollary is a statement whose proof c…
10. A. directly 11. A. interior
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given the graph of \\( \\delta t u v \\), find the coordinates of the \…
\(T''(3,-3)\), \(U''(0,-3)\), \(V''(1,-6)\)
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12. select the correct answer. congruent polygons are polygons in which…
12. congruent 13. angle
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37. what is the main characteristic of non - euclidean geometry? a. it …
A. It allows for curved spaces.
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given the graph of \\( \\triangle rst \\), find the coordinates of the …
\(R''(8,4)\), \(S''(9,-1)\), \(T''(6,1)\)
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14. select the correct answer. corresponding sides of polygons are side…
14. B. relative 15. A. adjacent
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given the coordinates of the pre - image, find the coordinates of the i…
\(H''(1,10)\), \(I''(7,10)\), \(J''(1,4)\)
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a classify the polygons. write t for trapezoid, p for parallelogram, or…
T
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16. complete the proof. given: point ( m ) is the midpoint of ( overlin…
2. d. Vertical Angles Theorem; 3. b. $\overline{BM}\cong\overline{DM}$
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circle the number sentences that are not true. a. $\frac{3}{12}=\frac{1…
\(c\), \(d\), \(e\)
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given the graph of \\( \\delta efg \\), find the coordinates of the \\(…
\(E''(-2,3)\), \(F''(-5,4)\), \(G''(-4,1)\)
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prove: abcd is a square. proof: • ( ab = sqrt { ( x _ { 2 } - x _ { 1 }…
\(AB = 6\), \(BC = 6\), \(CD = 6\), \(DA = 6\), right, congruent
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30. which criterion for triangle congruence involves two sides and the …
d. SAS
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3) if a 35 - foot cable was run from the top of the pole and anchored t…
The cable would be anchored about 18 feet away from the pole.
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b find each quotient. 12\\sqrt{30} 14\\sqrt{45} 18\\sqrt{63} 13\\sqrt{5…
The first, third and fourth tables should be circled.
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given: \\( \\triangle a b c, a ( 3,6 ), b ( 5,0 ), c ( 1,0 ) \\) prove:…
- \(CA=\sqrt{(3 - 1)^2+(6 - 0)^2}=2\sqrt{10}\) - \(AB=\sqrt{(5 - 3)^2+(0 - 6)^2}=2\sqrt{10}\) - \(\overline{CA}\cong\overline{AB}\) by the definition of congruent segments (segmen…
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why did the garment workers union grow after the triangle shirtwaist fa…
C. Workers refused to return to work without there being a union.
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26. the principle that figures with the same shape but different sizes …
C. Similar
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unit 4 quiz 3 willhite_k. geometry a_section 1_fall 25/26 / unit 4 - in…
For the length of \(AD\) and \(DC\): \(4\) (option a). \(\overline{AD}\cong\overline{DC}\) by the definition of \(\cong\) (option g). \(\overline{BD}\cong\overline{BD}\) by the Re…
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24. what is the sum of the interior angles of a pentagon? a. 180 degree…
B. 540 degrees
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each figure shows a pair of similar triangles, one contained in the oth…
For the first pair: Center \( B\), scale factor \( \frac{1}{2}\); For the second pair: Center \( D\), scale factor \( \frac{1}{2}\)
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proof: find the length of \\( \\overline { c m } \\) \\( \\begin{aligne…
\( CM = 2.5 \), \( AB=5 \), \( CM=\frac{1}{2}AB \) (Option b)
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which theorem, term, or corollary is represented by the picture? the bo…
Isosceles Triangle Theorem
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21 identify the 3 - d shapes with a surface area less than 100 cm². a. …
d. Triangular Prism (Base Area = 9 cm², Perimeter of Base = 9 cm, Height = 5 cm)
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3) if a 35 - foot cable were run from the top of the pole and anchored …
The cable would be anchored about \(18\) feet away from the pole.
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4. choose the correct answer. which theorem, term, or corollary is repr…
Converse to the Isosceles Triangle Theorem
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19. what is the surface area of a sphere with a radius of 6 cm? a. 150.…
C. \(452.16\space cm^{2}\)
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3. choose the correct answer. which theorem, term, or corollary is repr…
Isosceles Triangle Theorem
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2. choose the correct answer. which theorem, term, or corollary is repr…
Isosceles Triangle Theorem
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1. choose the correct answer. which theorem, term, or corollary is repr…
CPCTC
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12. the distance from the center to any point on the circles edge is ca…
B. Radius
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which conclusion can be drawn based on the true statements shown? if a …
Based on the law of syllogism, if a triangle is equilateral, then all the angles are congruent.
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find the length of \\( \\overline { m b } \\). \\( m b = \\sqrt { ( x _…
5
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11. which shape naturally tessellates? a. circle b. pentagon c. square …
C. Square
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find the length of $\\overline{am}$. $am = \\sqrt{(x_2 - x_1)^2 + (y_2 …
5
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which point is on the line that passes through point z and is perpendic…
\((-4,1)\)
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7. which illusion is another name for the ebbinghaus illusion? a. titch…
a. Titchener Circles
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4. name all similar relationships.
\(R_1\sim R_3\) and \(R_1\sim R_4\) and \(R_3\sim R_4\)
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prove: \\( \\triangle d e f \\cong \\triangle d g f \\)
The length of \( \overline{EF} \) is \( 3 \) units, the length of \( \overline{GF} \) is \( 3 \) units, \( \overline{DF}\cong\overline{DF} \) by the reflexive property, and \( \tr…
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4) a 25 - foot ladder is placed 7 feet from the base of a building. the…
\(24\) feet
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which point on the y - axis lies on the line that passes through point …
\((0,4)\)
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5. which of the following is not a quadrilateral? a. square b. triangle…
B. Triangle
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2. neoma is playing with 3d modeling software to design a perfect couch…
\(2.9\)
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given: \\( \\triangle abc \\) is equiangular prove: \\( \\overline { a …
2. a. Def. equiangular \(\triangle\) 4. f. Isosceles Triangle Theorem 5. b. \(\overline{AB}\cong\overline{BC}\cong\overline{CA}\)
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given: p: angles xyz and rst are vertical angles. q: angles xyz and rst…
If angles \(XYZ\) and \(RST\) are not congruent, then they are not vertical angles.
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given: \\( \\triangle a b c ; \\angle a \\cong \\angle b \\) prove: \\(…
4. e. Reflexive 5. c. AAS 6. f. $\overline{AC}\cong\overline{BC}$
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read the statement. doubling the dimensions of a rectangle increases th…
A. \(p ightarrow q\) represents the original conditional statement B. \(\sim p ightarrow\sim q\) represents the inverse of the original conditional statement
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unit 4 - introduction to polygons and triangles you are the captain of …
a. \(45^{\circ}\) b. Right - isosceles triangle c. \(BC = AB\) d. \(125\) million retemoliks
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if the statement is rewritten as a conditional statement in if - then f…
A. two lines in a plane intersect
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answer the following questions. 1) choose the correct answer. what does…
Corresponding Parts of Congruent Triangles are Congruent
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what is the inverse of the conditional statement? if a polygon has five…
If a polygon does not have five angles, then it is not a pentagon.
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11. given the parallel lines cut by a transversal, find the value of x:…
C. 17
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10. given the parallel lines cut by a transversal, find the value of x:…
B. 42
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3) what is the length of side fh in triangle fgh
If no additional information (e.g., right - triangle) is given, \(2\lt FH\lt14\). If it is a right - triangle with \(\angle G = 90^{\circ}\), \(FH = 10\) ft.
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20. choose the correct answer. tanya wants to buy a flat screen televis…
42 inches
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9. given the parallel lines cut by a transversal, find the value of x: …
A. 35
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a student pilot filed a flight plan which included flying due west from…
125 miles
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18. choose the correct answer. which theorem or postulate could be used…
LL
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which theorem or postulate could be used to prove the congruence of the…
LA
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16. choose the correct answer. which theorem or postulate could be used…
HA
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read the story. brave changes the new fire engine was a true beauty. th…
in the past
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which theorem or postulate could be used to prove the congruence of the…
LL
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14. choose the correct answer. the ____ of a right triangle is the side…
hypotenuse
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8. given the parallel lines cut by a transversal, find the value of x: …
# Explanation: ## Step1: Use the property of consecutive interior angles When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. So, \((x …
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katie wants to collect over 100 seashells. she already has 34 seashells…
The inequality is \(34 + 12d>100\). For graphing, make an open circle at \(5.5\) on the number - line and shade to the right.
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12. complete the proof. given: \\( \\overline { p q } \\parallel \\over…
2. Alternate Interior Angles Theorem; 3. Vertical Angles Theorem; 4. ASA (Angle - Side - Angle)
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read the model sentence from mal peets tamar. the staff at river reach …
The puppies did what most dogs do if someone comes to the door: bark incessantly at the person, or run in circles.
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6. given that parallel lines k and j are cut by transversal l and \\( \…
B. \(40^{\circ}\)
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11. choose the correct answer. which theorem or postulate could be used…
A. AAS
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given that parallel lines k and j are cut by transversal l and ∠1 = 140…
B. \(40^{\circ}\)
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10. choose the correct answer. which theorem or postulate could be used…
SSS
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9. choose the correct answer. which theorem or postulate could be used …
AAS