幾何
三角形、円、座標幾何、証明問題。
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34 multiple choice 2 points what is the approximate length of side c? a…
about 9 units
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identify the type of rigid motion shown as a reflection, translation, o…
rotation
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7. what does the formula note position = (7×steps) mod 12 determine? a.…
d. The position of a note in the Circle of Fifths
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3. line segment cd has endpoints at c(7, -4) and d(-5, 4). we want to f…
\(P=(7+\frac{3}{4}(-5 - 7),-4+\frac{3}{4}(4-(-4)))\)
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determine whether the conclusion is valid based on the given informatio…
invalid
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3. line segment cd has endpoints at c(7, -4) and d(-5, 4). we want to f…
\(3\)
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precision if point p is between a and m, select the true statement a) (…
C. \(AP + PM = AM\)
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2. line segment ab has endpoints at a(-9, 3) and b(1, 8). we want to fi…
The coordinates of point \(P\) are \((-7,4)\)
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17) choose the best answer. calculate the length of segment \\( \\overl…
\(10\)
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use the information to complete the problem. in the figure, line ( t ) …
\(\angle ABC\): right angle; \(\angle ACB\): acute angle; \(AB\): radius; \(AC\): line segment from center to outside point; \(A\): center; \(B\): point of tangency; \(C\): outsid…
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17) choose the best answer. calculate the length of segment \\( \\overl…
\(10\)
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in rectangle abcd, describe the relationship between the two objects us…
i. No Significant Relationship Exists ii. No Significant Relationship Exists iii. No Significant Relationship Exists iv. Supplementary v. Congruent vi. Congruent
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16) choose the best answer. if \\( \\overline { a y } = 4 \\), what is …
\(8\)
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6. find an example of each figure in the drawing. figure example point …
- Point: \(A\) (or \(B\) or \(C\)) - Ray: \(\overrightarrow{BC}\) - Line segment: \(\overline{AC}\) - Line: The line passing through \(B\) (in a geometric representation sense rel…
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15) choose the best answer. which line is a segment bisector? $overleft…
\(\overleftrightarrow{XZ}\)
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select the properties of a rectangle all pairs of consecutive angles ar…
All pairs of consecutive angles are supplementary, Both pairs of opposite sides are congruent, Diagonals bisect each other, Both pairs of opposite angles are congruent, both pairs…
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question 2 4 pts 2. line segment ab has endpoints at a(-9, 3) and b(1, …
\(\frac{1}{5}\)
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14) choose the best answer. which point is the midpoint of a line segme…
\(Y\)
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12) choose the best answer. carlos drove two friends home after their s…
4 miles
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3.2 other quadrilaterals score: 12.61/18 answered: 14/18 question 16 pi…
B. Two pairs of parallel sides, D. Four sides of equal length, E. Four angles of equal measure, F. All four angles are right angles.
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a point is rotated 270° about the origin. the image of the point is (-1…
A. \((-7,-11)\)
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tallulah leans a 22 - foot ladder against a wall. if the ladder reaches…
$64.8^{\circ}$
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radius ad intercepts circle a at point d. ray bc is tangent to the circ…
\(90^{\circ}\)
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question 14 select the properties of an isosceles trapezoid all 4 angle…
- one pair (legs) of opposite sides congruent - Diagonals are congruent - Has 4 sides - All pairs of consecutive angles are supplementary - Both pairs of base angles are congruent…
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if a tree has a height of 168 feet, what would be the angle of elevatio…
\(71.1\)
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if a tree has a height of 31 feet, what would be the angle of elevation…
\(39.2\)
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2d. if the polygon shown below is rotated about the y - axis, what will…
\(47.1\)
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if a tree has a height of 81 feet, what would be the angle of elevation…
\(65.0^{\circ}\)
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select the properties of a trapezoid both pairs of opposite sides are c…
Has 4 sides, All pairs of consecutive angles are supplementary, Exactly one pair of parallel sides.
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2c. if the polygon shown below is rotated about the y - axis, what will…
\(3\)
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2b. if the polygon shown below is rotated about the y - axis, what will…
\(5\)
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2a. if the polygon shown below is rotated about the y - axis, what 3 - …
Cone
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determine the unknown variables in each figure below. treat each figure…
\(d = 131^{\circ}\), \(f = 49^{\circ}\), \(g = 107^{\circ}\), \(h = 10.5\) cm, \(j = 10.4\) cm
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the points on any line or line segment can be put into a correspondence…
collinear
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1d. if the polygon shown below is rotated about the x - axis, what will…
\(100.5\)
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act prep practice! you must show complete work on your worksheet! answe…
\((180 - y)^{\circ}\)
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1c. if the polygon shown below is rotated about the x - axis, what will…
\(2\)
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which is the best definition for the termmidpoint? dividing into two eq…
- For "midpoint": a point that bisects a segment into two congruent segments. - For "segment bisector": a line, line segment, or ray that intersects a line segment at its midpoint.
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2. which of the following is a famous example of a geometric fractal? a…
A. Koch Curve
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1b. if the polygon shown below is rotated about the x - axis, what will…
\(8\)
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1. what does the fractal dimension measure? a. complexity b. width c. h…
A. Complexity
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a boat is heading towards a lighthouse, whose beacon - light is 111 fee…
\(25.63\)
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1a. if the polygon shown below is rotated about the x - axis, what 3 - …
Cylinder
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act prep practice! you must show complete work on your worksheet! answe…
\(84^{\circ}\)
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3) choose the best answer. which is the best definition for the term co…
3) a method of creating a geometric figure that is mathematically precise by using a compass and straightedge 4) a number that corresponds to a point
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3.2 other quadrilaterals score: 6.33/18 answered: 7/18 question 9 multi…
are congruent.
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use the rhombus below to solve for $x$ and then find the length of $\\o…
\(x = 8\), \(FG = 34\)
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11. here is triangle def and its dimensions. which measurements represe…
D. \(13.5\mathrm{cm},7.5\mathrm{cm},16.5\mathrm{cm}\)
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question 5 the diagonals of rhombus abcd form several triangles. given:…
2. Definition of a rhombus; 3. Opposite angles are congruent in a parallelogram; 4. Definition of a rhombus; 5. SSS; 6. CPCTC; 7. SSS; 8. CPCTC; 9. Definition of angle bisector.
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question 4 what are the similarities of parallelograms and rhombus (foc…
- Opposite angles are congruent: BOTH - All sides are congruent: rhombi only - Consecutive angles are supplementary (add to \(180^{\circ}\)): BOTH - All angles are congruent: NEIT…
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m∠jml = 70° and jklm is a rhombus, solve for the variables. hint about …
\(x = 20\), \(y = 20\), \(z = 90\)
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in rhombus $mjkl$; $\\angle jbk = 10(x + 1)^2$, $jk = 15$, $jb = 9$, $b…
$x = 2$; $y = 12$
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classify the triangle below by angles. 100° obtuse isosceles acute right
Obtuse
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3.2 other quadrilaterals score: 0/18 answered: 0/18 question 1 penny ma…
No, because a rhombus has all sides congruent but not all angles congruent.
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19. choose true or false. plane geometry deals with two - dimensional o…
19. True 20. True
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question in △efg, ef ≅ ge and m∠e = 141°, find m∠g. answer
\(19.5^{\circ}\)
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17. choose true or false. points that lie on the same line are collinea…
17. True 18. ray
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question in \\( \\triangle j k l, \\overline{k l} \\cong \\overline{j k…
\(44.5^{\circ}\)
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unit 1 quiz 1 geometry a / unit 1 - the basics of geometry 15. choose t…
15. \(\overrightarrow{BC}\) 16. True
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properties of isosceles triangles score: 0/3 penalty: 1 off question in…
\(29.5^{\circ}\)
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unit 1 quiz 1 geometry a / unit 1 - the basics of geometry 13. choose t…
13. C. Postulate 1.2E: If two planes intersect, they intersect in exactly one line. 14. B. Postulate 1.2D: If two lines intersect, they intersect at exactly one point.
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11. choose the best answer. a line is a ___ path that has no thickness …
11. A. straight 12. D. plane
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7. these polygons are scaled copies. determine the perimeter of the lar…
The perimeter of the larger polygon is \(61.5\mathrm{cm}\)
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properties of isosceles triangles (diagram) question find ( mangle rqp …
\(128\)
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9. choose true or false. solid geometry deals with two - dimensional ob…
9. False 10. line segment
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problems 4 - 6: an equilateral triangle is a triangle where all three s…
| Side Length | Perimeter | |--|--| | 3 | 9 | | 10 | 30 | | 27 | 81 | | 105 | 315 |
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a point is a location in space that has neither size nor ___. proof exi…
- First question: dimension - Second question: $A$
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find m∠qrs. answer attempt 1 out of 2 m∠qrs = submit answer
\(84\)
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unit 1 quiz 1 geometry a / unit 1 - the basics of geometry 5. choose th…
5. Postulate 1.2C: If two points lie on a plane, then the line that contains those two points also lies on the plane. 6. Postulate 1.2B: Through any three noncollinear points ther…
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unit 1 quiz 1 geometry a / unit 1 - the basics of geometry 3. choose tr…
3. False 4. \(\overline{AB}\) (assuming the option with the line - segment notation is \(AB\) without arrows as per standard geometric notation)
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question find ( mangle srq ). answer attempt 1 out of 2 ( mangle srq=)
\(60\)
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unit 1 quiz 1 geometry a / unit 1 - the basics of geometry 1. choose th…
1. Postulate 1.2A: Through any two points there is exactly one line. 2. segment
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unit 1 quiz 1 geometry a / unit 1 - the basics of geometry 1. choose th…
1. Postulate 1.2A: Through any two points there is exactly one line. 2. segment
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question find ( mangle mnl ). answer attempt 2 out of 2 ( mangle mnl=) …
\(116\)
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if polygon abcd is transformed using the rule (x,y)→(2x,2y) at center (…
A. \((-10,14)\)
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6. given: ∠w and ∠y are right angles; \\( \\overline { v x } \\cong \\o…
1. Given 2. \(\triangle VWX\) and \(\triangle ZYX\) are right triangles 3. Given 4. \(\overline{WX}\cong\overline{YX}\) 5. \(\triangle VWX\cong\triangle ZYX\) (by HL - Hypotenuse …
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question find ( m angle m n l ). answer attempt 1 out of 2 ( m angle m …
\(58\)
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question find ( m angle i k j ). answer attempt 1 out of 2 ( m angle i …
\(29.5\)
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now identify factor pairs of 35x² that add to 12x. use the factor pairs…
\((x + 5)(x + 7)\)
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the isosceles triangle has a perimeter of 7.5 m. which equation can be …
\(2x + 2.1=7.5\) (the first option)
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1. find w, x, y, and z: 2. find w, x, y, and z:
\(w = 50^{\circ}\), \(x = 50^{\circ}\), \(y = 50^{\circ}\), \(z = 40^{\circ}\) 2.
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30) look at the simplified map and the photo. choose the number of the …
Postulate 1.2E
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problem 4: start the area model keep working on it. $x^{2}+12x + 35=$ r…
\((x + 5)(x + 7)\); Rectangle II: \(7x\); Rectangle III: \(5x\); Rectangle IV: \(35\); Product of Main Diagonal: \(35x^{2}\)
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29) look at the simplified map and the photo. choose the number of the …
Postulate 1.2C
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28) look at the simplified map and the photo. choose the number of the …
Postulate 1.2B
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27) look at the simplified map and the photo. choose the number of the …
Postulate 1.2D: If two lines intersect, they intersect at exactly one point.
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26) look at the simplified map and the photo. choose the number of the …
Postulate 1.2A: Through any two points there is exactly one line.
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given: abcd is a rectangle. prove: abcd has congruent diagonals. identi…
6. opposite sides of a parallelogram are congruent; 8. SAS (Side - Angle - Side); 9. CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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3. find the m∠1. 117° 58°
\(m\angle1 = 59^{\circ}\)
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25) select six possible rays.
$\overrightarrow{AC}$, $\overrightarrow{BA}$, $\overrightarrow{BC}$, $\overrightarrow{CB}$, $\overrightarrow{AB}$, $\overrightarrow{CA}$
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claire is designing a banner that will hang in her classroom. the lengt…
It is not a square because the angles at the vertices are not right angles.
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given: parallelogram lmno; \\( \\overline{mo} \\perp \\overline{ln} \\)…
4. All right angles are congruent; 6. Reflexive property of congruence; 9. A parallelogram with adjacent sides congruent is a rhombus.
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question in \\( \\triangle wxy \\), \\( w = 670 \\mathrm { cm } , y = 8…
\(56.4^{\circ}\)
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given: abcd is a square. prove: \\( \\overline { ac } \\perp \\overline…
1. \(AB\) 2. reflexive property 3. \(BE\) 4. SSS 5. definition of perpendicular lines
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for rhombus lmno, ( mangle lon = 102^circ ) and ( np = 5 ) units. use t…
The measure of $\angle LPM$ is $90^{\circ}$. The measure of $\angle PMN$ is $39^{\circ}$. The length of $\overline{LN}$ is $10$ units.
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points ( a(-1, -5) ) and ( b(6, 2) ) were transformed using a compositi…
Part A: D. \(A'(-1,-5)\) and \(B'(6,-2)\) Part B: A. \(A''(0,-3)\) and \(B''(-5,4)\) (assuming a translation \(T_{1,2}\) (typo in problem notation) where \(x=x_0+1\) and \(y=y_0 -…
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which characteristic guarantees that a parallelogram is a rectangle? al…
The diagonals are congruent.
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23) select three possible names for the plane. plane plane abd plane bc…
Plane \( R\), Plane \( ABC\), Plane \( ABD\) (or Plane \( BCA\), Plane \( CAB\) as alternative correct combinations)
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what value of x will make parallelogram abcd a rhombus? x =
\(x = 34\)
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problem 3: start the area model use the next three slides to factor ( 1…
Rectangle I: \(10x^{2}\), Rectangle IV: \(-2\), Product of Main Diagonal: \(-20x^{2}\)