幾何
三角形、円、座標幾何、証明問題。
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how many real solutions correspond to x - intercepts based on the graph…
1
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question which angle of rotation would carry a regular octagon onto its…
\(90^{\circ}\)
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question which angle of rotation would carry a square onto itself? answ…
180°
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consider the figures shown. which image could result from taking figure…
B. Figure 3
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question which angle of rotation would carry a regular octagon onto its…
A. $225^{\circ}$
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which angle of rotation would carry a regular dodecagon onto itself? an…
\(90^{\circ}\)对应的选项（假设选项按顺序分别为A、B、C、D、E，这里是B选项）
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a triangle has vertices at c(-4,1), s(-3,3) and r(-1,1). what series of…
A. Reflejar sobre el eje y, luego reflexionar sobre el eje x, luego trasladar 3 unidades hacia abajo
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if the regular pentagon is rotated clockwise around its center, point p…
B. 72°
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a student says that she knows that a parallelogram has two altitudes bu…
C. Extend the shorter side and construct the perpendicular line segment from a vertex not on the side, to the line containing the side.
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graph the solution to the following inequality: 38 - k < 5 - 2k
The solution of the inequality is $k < - 33$. On a number - line, it is represented by an open circle at - 33 and an arrow pointing to the left.
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6 graph the solution to the following inequality: -3(x - 3) ≥ -3 + 3x
The solution set is all real numbers $x$ such that $x\leq2$. On a number - line, you would draw a closed circle at 2 (because the inequality is $\geq$) and shade to the left of 2.
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a. prove that a quadrilateral whose diagonals are congruent and bisect …
a. See the above - step 1 for proof. b. B. Construct two congruent line segments that perpendicularly bisect each other. The endpoints of these line segments will be the vertices …
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a. prove that a quadrilateral whose diagonals are congruent and bisect …
$90$
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trapezoid e is a scaled copy of trapezoid d. what scale factor takes tr…
$1.2$
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a. prove that a quadrilateral whose diagonals are congruent and bisect …
Interior angles on the same side of a transversal
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a. prove that a quadrilateral whose diagonals are congruent and bisect …
SAS is not the correct congruence criterion here. The correct congruence criterion is SSS. Because we know that $AE = EC$, $BE = ED$ (diagonals bisect each other) and $AC = BD$ im…
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6. write the property that justifies each step. solve 4x - 10 = 5x + 17…
The properties are: Subtraction Property of Equality, Addition Property of Equality, Division Property of Equality ### 7.
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a. prove that a quadrilateral whose diagonals are congruent and bisect …
a. The correct option is: ABCD is a parallelogram and its opposite sides are congruent and parallel. b. See the construction steps above. c. See the construction steps above.
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what minimum information is sufficient to determine congruency for each…
a) C. The lengths of one side of each square must be equal b) C. The lengths of the sides of two perpendicular sides of the rectangles must be equal
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what minimum information is sufficient to determine congruency for each…
C. The lengths of one side of each square must be equal
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what type of figure is formed by joining the midpoints of a rectangle (…
D. The figure is a rhombus. By SAS \(\triangle ECF\cong\triangle EAH\cong\triangle FBG\cong\triangle GDH\)
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questions a - e 5 points a) what type of curve does this graph represen…
A) Production - possibility curve B) Efficient resource allocation and full - capacity production of tea and coffee C) Inefficient resource use (unemployment or under - utilizatio…
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find the slope of the line graphed below.
$-\frac{7}{4}$
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39. is this an isometric or orthographic drawing? a. isometric b. ortho…
It depends on the actual drawing. If it shows a 3 - D object with equal - angle projection, it's isometric (A. Isometric). If it's 2 - D views from different directions, it's orth…
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in the rectangle abcd shown, x and y are mid - points of the sides. and…
A. Kite
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find the slope of the line graphed below.
$-2$
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in the rectangle abcd shown, x and y are mid - points of the given side…
A. \(\triangle CYP\cong\triangle BYQ\) by SAS
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part a: the archeologist turns the fragment over, reflecting it over th…
For Part A: $(4,4),(2,4),(4,2),(2,2)$ For Part B: $(-4,-4),(-2,-4),(-4,-2),(-2,-2)$
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in the rectangle abcd shown, x and y are mid - points of the given side…
a) Quadrilateral \(PYQX\) is a parallelogram. Proof: We proved \(\triangle DXP\cong\triangle AXQ\) and \(\triangle CYP\cong\triangle BYQ\) which gives \(PX = QX\) and \(PY = QY\).…
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in the rectangle abcd shown, x and y are mid - points of the given side…
B. \(\triangle PDX\cong\triangle QAX\) by SAS
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what do the \tick\ marks on a triangle mean? (see yellow highlighted po…
Sides are Congruent
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what type of triangle is this? equilateral isosceles scalene obtuse rig…
B. Isosceles
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part b: the archeologist then rotates the fragment 180° about the origi…
(b) If a vertex has original coordinates $(x,y)$, new coordinates after 180 - degree rotation about the origin are $(-x,-y)$. (c) If a vertex has original coordinates $(x,y)$, new…
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what is the value of x? type your answer in the box below. (6x)° (9x - …
9
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what is the value of x? type your answer in the box below. type numeric…
50
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which are other possible names for ∠3? choose all answers that are corr…
∠E, ∠FER, ∠FEP
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an archaeologist is examining an image of a bone - fragment on her comp…
The new coordinates of the vertices are obtained by changing the sign of the x - coordinates of the original vertices while keeping the y - coordinates the same. For example, if a…
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vertical angles are always... complementary supplementary adjacent cong…
1. D. Congruent 2. C. 120 degrees, 60 degrees
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what is the value of x? 2(x + 10)° (3x - 30)° type your answer in the b…
50
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< a and < b are vertical angles with m < a = x and m < b = 4x - 30. wha…
10
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question point o is on line segment $overline{np}$. given $np = 4x + 10…
$30$
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point r is on line segment $overline{qs}$. given $qr = 3x - 8, qs = 3x$…
$8$
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question point s is on line segment $overline{rt}$. given $rt = 5x - 4$…
$4$
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draw acute ∠pqr. then construct its bisector. draw acute ∠pqr. choose t…
C.
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a sector of a circle is a section shaped like a piece of pie, bounded b…
B. The segments joining the radius and arc must be identical, C. The central angles must have the same measure, F. The segments joining endpoints of each arc are congruent, H. The…
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if m∠poq = 24 and m∠por = 59, what is m∠qor? m∠qor = (simplify your ans…
35
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the game of triominoes has equilateral - triangular playing pieces with…
The figure is a rhombus because it has four equal sides.
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problem 21: (first taught in lesson 2) select the venn diagram that rep…
The Venn - diagram with a large circle labeled "True bodybuilders", a smaller circle completely inside the "True bodybuilders" circle labeled "People who have a plan for improving…
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answer the following a. construct quadrilaterals having exactly one, tw…
a. For exactly one right - angle: Draw a non - rectangular quadrilateral with one $90^{\circ}$ angle. For exactly two right - angles: Draw a trapezoid with two adjacent right - an…
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question given m||n, find the value of x. answer attempt 1 out of 2 x =
\(x = 159\)
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answer the following a. construct quadrilaterals having exactly one, tw…
a. A right - angled trapezoid can have exactly one right angle. A trapezoid with two adjacent right angles has two right angles. A rectangle has four right angles. b. No. Because …
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classify each of the following as true or false. a. no trapezoid is a s…
a. True b. True
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given m||n, find the value of x. answer attempt 1 out of 2 x =
$x = 57$
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24. select the correct proof from the options listed. given: m∠1 = m∠2 …
A. Statements: 1. $m\angle1 = m\angle2$; 2. $m\angle1 = m\angle3$; 3. $m\angle2 = m\angle4$; 4. $m\angle3 = m\angle2$; 5. $m\angle3 = m\angle4$. Reasons: 1. Given; 2. Vertical ang…
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in each of the following, fill in the word needed to make the resulting…
a. square b. parallelogram
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3. m∠1 + m∠2 = m∠____ 3. angle addition postul 4. m∠___ + m∠___ = m∠___…
3. The angle formed by $\angle1$ and $\angle2$ (e.g., if they are adjacent and we name the combined angle, we can say $m\angle1 + m\angle2=m\angle(\text{the angle formed by }\angl…
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what combination of transformations is shown below? reflection, then tr…
rotation, then translation
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what combination of transformations is shown below? reflection, then tr…
reflection, then translation
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question solve for the value of n.
$n = 19$
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given: mo ⊥ no, ∠1 and ∠2 are adjacent angles. prove: m∠1 + m∠2 = 90°. …
C. Statements: 1. $MO\perp NO$ (Given); 2. $\angle1$ and $\angle2$ are adjacent angles (Given); 3. $\angle MON$ is a right angle (Perpendicular lines intersect to form right angle…
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what combination of transformations is shown below? translation, then r…
rotation, then translation
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19. (l19) given: ad ⊥ cb prove: ∠dob is a right angle a. if the exterio…
A. complementary.
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look at this shape: which image shows a rotation? a b c
B.
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a. if the exterior sides of a pair of adjacent angles are perpendicular…
20. A. Transitive Property 21. B. 70 22. B. 50
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name _ date _ per _ two column proofs wk directions. fill in the proof …
| Statements | Reasons | |--|--| | 1. \(m\angle1 = m\angle3\) | 1. Given | | 2. \(m\angle1 + m\angle2=m\angle3 + m\angle2\) | 2. Addition Property of Equality | | 3. \(m\angle1 + …
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solve for x, then find the angle measurement type of angle pair these a…
Type of angle pair: supplementary Equation: \((x + 139)+132=180\) \(x=-91\) Angle Measurement: \(48^{\circ}\)
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solve for the value of r. (8r - 6)° (7r + 3)° answer attempt 1 out of 2…
$r = 9$
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look at this shape: which image shows a rotation? a b c
B.
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look at this shape: which image shows a reflection?
C.
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15. (19) find m∠sru in the diagram. a. 54 b. 45 c. 24 d. 48 e. none of …
15. D. 48 16. C. 132 17. A. Pairs of vertical angles are congruent. 18. C. If the exterior sides of a pair of adjacent angles are perpendicular, then the angles are complementary.
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describe the congruence transformations for pqrs → wxyz.
Reflect over the y - axis and then translate 6 units up.
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look at this shape: which image shows a reflection? a b c
B.
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11. (l20) all ______ angles are congruent. a. acute b. complementary c.…
E. right
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(c) problem 18: (first taught in lesson 42) find x. 128° after you ente…
$52$
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look at this shape: which image shows a translation? a b c
B.
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problem 17: (first taught in lesson 42) find x. after you enter your an…
$72$
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find the measure of the missing angles. answer attempt 1 out of 2 x = y…
$x = 61$ $y = 29$
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problem 16: select which shortcut can be used to prove this pair of tri…
A. Side - Side - Side
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problem 14: (first taught in lesson 23) from this given statement, sele…
A. If the two angles in a linear pair are congruent, then each is a right angle.
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problem 14: (lesson 23) from this given statement, select the definitio…
There is not enough information given to prove that ∠SRK and ∠YRK are right - angles. Just because ∠SRK≅∠YRK does not mean they are right angles. There is no relevant definition, …
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find the measure of the missing angles. answer attempt 2 out of 2 d = 4…
\(d = 46^{\circ},e = 20^{\circ},f = 114^{\circ}\)
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12. (12) use the inch ruler below to measure the distance (in inches) b…
12. A. approximately $1\frac{1}{4}$ inches 13. B. complement: 19, supplement: 109 14. B. complement: $45 - x$, supplement: $135 - x$
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problem 14: (first taught in lesson 23) from this given statement, sele…
There is no correct option among the given ones as the statement "If two adjacent angles are congruent, then they are right - angles" is false. Just because two adjacent angles ar…
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problem 14: from this given statement, select the definition, property,…
There is not enough information given to justify the prove statement. Just because $\angle SRK\cong\angle YRK$ does not mean they are right - angles. None of the options (assuming…
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5. (1) if $overline{xy}$ bisects $angle wxz$, $mangle wxy = 4x - 1$, an…
5. A. 62 6. C. 58 7. C. are never 8. D. vertical 9. C. distance 10. D. perpendicular; midpoint
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problem 13: from this given statement, select the definition, property,…
Corresponding - parts of congruent triangles are congruent (CPCTC).
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problem 12: (lesson 34) from this given statement, select the definitio…
The Angle - Side - Angle (ASA) Postulate.
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first quarter seton test 3 (test includes material up to lesson 21. tak…
1. D. 90 2. B. No 3. B. invalid 4. A. valid
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triangle a\b\c\ is formed by a reflection over x = 1 and dilation by a …
\(\triangle ABC\sim\triangle A''B''C''\)
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(b) problem 11: (first taught in lesson 30) find the measures of the an…
$50^{\circ},65^{\circ},65^{\circ}$
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(a) problem 10: find the measures of the angles of a triangle whose ang…
The angles are 15°, 75°, 90°. It is a right - triangle.
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given the following intersecting lines, how can angles 1 and 6 be class…
Adjacent Angles
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δabc was dilated from the origin by a scale factor to create δabc. whic…
Side AC is proportional to side A'C'.
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problem 9: (first taught in lesson 38) given that △ebc≅△cfe, answer thi…
$\triangle FEC$
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select the three statements that guarantee $overleftrightarrow{st}$ is …
$\overline{US}\cong\overline{UT}$, $\overline{SV}\cong\overline{TV}$, $\overline{SW}\cong\overline{UW}$
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problem 9: given that △ebc≅△cfe, answer this question. △ecf≅____ after …
$\triangle FEC$
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problem 8: given that △ebc≅△cfe, answer this question. bc≅___ after you…
$\overline{FE}$
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problem 7: given that △ebc≅△cfe, answer this question. ∠ceb≅____ after …
$\angle FCE$
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lesson 2 - 3: do now if ∠1≅∠2, which lines are parallel? □ because ∠1 a…
Lines $m$ and $p$ are parallel because $\angle1$ and $\angle2$ are corresponding angles.
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given triangles abc and def, which statement explains a way to determin…
Verify corresponding pairs of angles are congruent by dilation.