幾何
三角形、圓、解析幾何與證明題。
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1 \\( \\angle qtr \\cong \\angle ptq \\) given 2 \\( m \\angle ptq + m …
\(PS\perp QR\) (by the definition of perpendicular lines, since \(m\angle PTQ = 90^{\circ}\))
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find the distance between each pair of points. 5. 7. l(-7,0), y(5,9) 8.…
5. \(6\sqrt{2}\approx8.49\) 6. \(10\) 7. \(15\) 8. \(3\sqrt{2}\approx4.24\) 9. \(\sqrt{85}\approx9.22\) 10. \(2\sqrt{29}\approx10.77\)
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solve for $x$. round to the nearest tenth, if necessary.
\(x\approx3.2\)
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solve the inequality. graph the solution. 7w > -49 the solution is □.
\(w > -7\) To graph the solution: Draw a number line. Put an open circle at \(-7\) (because \(-7\) is not included in the solution, since the inequality is \(>\)) and shade the li…
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solve for x. round to the nearest tenth, if necessary.
\(x\approx3.2\)
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solve for x. round to the nearest tenth, if necessary.
\(x\approx82.3\)
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11. use the coordinates below to determine if \\( \\triangle a b c \\) …
\(AB=\sqrt{85}\), \(DE=\sqrt{29}\), \(BC=\sqrt{29}\), \(EF=\sqrt{202}\), \(AC=\sqrt{202}\), \(DF=\sqrt{85}\). The triangles are congruent. By SSS congruence criterion, \(\triangle…
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the war. some of them joined in an alliance to attack the british under…
Whether the Proclamation of 1763 was a just order depends on the perspective. From the British government's angle (aiming for peace with Native Americans), it had some justificati…
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solve for x. round to the nearest tenth, if necessary.
\(x\approx3.8\)
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solve the inequality. graph the solution. -3y < -14 the solution is
\(y > \frac{14}{3}\) To graph the solution: - On the number line, since \(y>\frac{14}{3}\), we use an open - circle at \(\frac{14}{3}\) (because \(y\) is not equal to \(\frac{14}{…
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uv ⊥ vw and st ⊥ rs. complete the proof that ∠rst ≅ ∠uvw. statement 1 u…
- Statement 4 Reason: Definition of perpendicular lines - Statement 5 Reason: Substitution property of equality - Statement 6 Reason: Definition of congruent angles
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find the measure of the missing angles. answer attempt 1 out of 2 b = c…
\(b = 31^{\circ}\), \(c = 149^{\circ}\)
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geometry identify an inequality that represents x (in centimeters). are…
The correct inequality is \(10x\geq120\). The solution is \(x\geq12\).
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solve the inequality and graph the solution. 4u + 1 < 9 to draw a ray, …
The solution of the inequality \(4u + 1<9\) is \(u<2\). On the number - line, there is an open circle at \(2\) and an arrow pointing to the left.
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9) given the triangle below, find the measure of cb.
\(CB\approx41.1\)
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9) given the triangle below find the measure of cb
\(BC\approx33.74\)
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14. find x. 4x - 30 x
\(x = 42\)
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find reference angle cos(-300)
The reference angle of \(\cos(-300^{\circ})\) is \(60^{\circ}\)
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a) let ( p(x) ) represent the perimeter of the rectangle on the right. …
a) 1. \(P(x)=10x + 2\) 2. Degree of \(P(x)\) is \(1\) b) 1. \(A(x)=6x^{2}+5x - 6\) 2. Degree of \(A(x)\) is \(2\) c) 1. Length \(=16\space\text{cm}\), Width \(=15\space\text{cm}\)…
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name: _ period: _ date: _ lt: i can find the coordinates of points afte…
**Problem 1**: - \(A(1,1)\to A'(6,-2)\) - \(B(3,1)\to B'(8,-2)\) - \(C(2,5)\to C'(7,2)\) - Mapping Rule: \((x,y)\to(x + 5,y-3)\) **Problem 2**: - \(A(2,1)\to A'(0,4)\) - \(B(3,2)\…
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6. triangles are polygons. conditional statement: is it true? converse …
- **Conditional statement**: If a figure is a triangle, then it is a polygon. **Is it true?** Yes. - **Converse statement**: If a figure is a polygon, then it is a triangle. **Is …
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introduction and instructions 2 cm × 2 cm × 6 = 24 cm² 2 cm × 2 cm × 2 …
- Para el cubo de \(2\ cm\times2\ cm\times2\ cm\): \(3:1\) - Para el cubo de \(4\ cm\times4\ cm\times4\ cm\): \(1.5:1\) - Para el cubo de \(6\ cm\times6\ cm\times6\ cm\): \(1:1\)
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5. triangle pqr with vertices p(-2, 3), q(2, 4), and r(1, -1): x = -3 p…
\(P'(-4,3)\) \(Q'(-8,4)\) \(R'(-7,-1)\)
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how many units away are each of the points from the y - axis? 2 3 4 5
2
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fill in the blank 0 points extra credit one endpoint of a line segment …
\((-1,-4)\)
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fill in the blank 6 points what is one endpoint coordinate of this line…
One endpoint coordinate is \((-3,1)\) and the other is \((1,-4)\)
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you can transform \\( \\triangle b c d \\) to \\( \\triangle b ^ { prim…
Translation: \((x,y)\to(x - 1,y - 10)\) Scale factor: \(\frac{9}{5}\)
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17 fill in the blank 2 points find the midpoint of the line segment wit…
\((-4.01,-3.05)\)
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you can transform △bcd to △bcd by translating it and then performing a …
Translation: \((x,y)\to(x,y - 10)\) Scale factor: \(2\)
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miss diaz wants her students to practice making the next ten. a. circle…
a. Circle \(38 + 22\) and \(79+48\). b. For \(38 + 22\), we can break \(22\) into \(2\) and \(20\). First, \(38+2 = 40\) (making the next ten: \(40\)) and then \(40+20=60\). For \…
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eg || tv and eg || wy. ∠sut ≅ ∠efs. prove that tv || wy.
For \( \angle EFS\cong\angle SXW \): Alternate Interior Angles Theorem. For \( \angle SXW\cong\angle SUT \): Transitive Property of Congruence. For \( \overrightarrow{TV}\parallel…
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a diagram is shown where (overleftrightarrow{fp}) intersects (overleftr…
2. Corresponding Angles Theorem; 4. Transitive Property of Congruence; 5. Converse of the Corresponding Angles Theorem.
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each circle or dot is one person or place. non - knower knower path of …
More people become knowers as the diffusion spreads
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12. explain why there are two zeros in the product of ( 5\times40 ). 13…
| | 90 | 160 | |--|--|--| | \(2\times80 =?\) | | \(160\) | | \(4\times40 =?\) | | \(160\) | | \(3\times30 =?\) | \(90\) | | | \(1\times90 =?\) | \(90\) | |
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which points are either in quadrant ii or quadrant iii of the coordinat…
\((-7,-9)\), \((-10,10)\), \((-8,-3)\)
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complete the two - column proof. complete parts a. through d. given: \\…
a. Given b. Alternate - interior angles theorem (If two parallel lines are cut by a transversal, then alternate - interior angles are congruent) c. \( \overline{JW}\cong\overline{…
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determine whether the triangles must be congruent. if so, name the post…
C. The triangles are congruent by AAS.
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8. for each problem below, let θ represent the angle between the positi…
- **8a)** - 3rd side length: \(17\) - \(\sin\theta=-\frac{15}{17}\), \(\cos\theta=-\frac{8}{17}\) - \(\theta\approx242^{\circ}\), reference angle: \(62^{\circ}\) - **8b)** - 3rd s…
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5. solve for angle a.
\(A\approx56^{\circ}\)
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complete the flow proof. given: \\( \\overline { c t } \\cong \\overlin…
\(\triangle CTM\cong\triangle ZMK\) by the Hypotenuse - Leg (\(HL\)) Theorem.
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19 fill in the blank 8 points find the distance between the two points.…
\(\sqrt{26}\)
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•cos(x) 17 11 x° 10
\(x\approx108.1^{\circ}\)
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complete the flow proof. given: \\( \\overline { c t } \\cong \\overlin…
The blanks in the flow - proof are filled as follows: First blank (for \(\overline{CM}\perp\overline{TK},\overline{ZK}\perp\overline{TK}\)): Definition of perpendicular lines; Sec…
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$$\\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ $$x_1 = -5$$ $$x_2 = 0$$ $$(x…
\(\sqrt{26}\)
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which postulate or theorem could you use to prove \\( \\triangle mnp \\…
SAS postulate
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would you use sss or sas to prove the triangles congruent? use only the…
C. The two triangles are not necessarily congruent. There is not enough information.
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part a circle the letter of the answer that correctly completes each se…
1. B. like and want 2. A. elasticity 3. D. substitutes 4. B. Utility 5. A. price 6. demand curve 7. able 8. inelastic 9. luxury 10. profit 11. income 12. substitute 13. necessities
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the perimeter of an equilateral triangle is 17 inches more than the per…
15
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solve the inequality and graph the solution set on a number line. -36 <…
The solution set is \(\{x|-5 < x\leq - 4\}\). For the graph: - Option D has an open circle at \(-5\) (because \(x>-5\), not including \(-5\)) and a closed circle at \(-4\) (becaus…
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an athlete whose event is the shot put releases a shot. when the shot w…
\(86.5\)
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complete the flow proof. complete parts a. through d. given: \\( \\over…
a. Given b. Reflexive Property of Congruence c. \(\triangle HJP\) d. \(\triangle PGH\)
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if two vectors to be added are at right angles, you will need to use th…
use the Pythagorean theorem
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name the postulate you would use to prove the triangles congruent. choo…
SSS
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8. how many cubic yards of aggregate must be ordered for a road base 16…
Approximately \(16340\) cubic yards of aggregate must be ordered.
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what is the equation of the vertical line through (-5, -2)?
\(x = - 5\)
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determine whether the pair of triangles is congruent. choose the correc…
Not congruent
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4. solve for side b.
\(b\approx16.7\space cm\)
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two identical rectangular prisms and a cube are joined. answer the ques…
- There are \(4\) square faces on the surface of the figure. - Each square face has an area of \(4\) \(ft^{2}\). - So, the area of all the visible square faces is \(16\) \(ft^{2}\…
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what is the slope of the line?
\(\frac{4}{9}\)
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at an archeological site, the remains of two ancient step pyramids are …
69
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surface area of simple composite solids - item 33916 four identical cub…
The number of squares is \(18\), the area of each square is \(36\) in\(^2\), and the surface area of the figure is \(648\) in\(^2\).
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3. solve for side w. 28 cm w 52° 79°
\(w\approx36.4\space cm\)
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find the missing side labeled with x using trigonometry.
$12.4$
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how do you combine vectors if they are in opposite directions? use trig…
Subtract
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find the length of the missing side.
\(13\) cm
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23. from the image above, drag the pairs of angles to the name of the p…
- Alternate Interior Angles (Alt. Int. ∠'s): \(∠6\ \&\ ∠8\) - Corresponding Angles: \(∠4\ \&\ ∠8\), \(∠1\ \&\ ∠5\)
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△def≅△xyz. complete the congruence statement. ∠d≅? ∠d≅∠□
\(\angle D\cong\angle X\)
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tanθ = adjacent/opposite opposite/adjacent hypotenuse/adjacent opposite…
\(\frac{\text{opposite}}{\text{adjacent}}\) (the second option: \(\frac{\text{opposite}}{\text{adjacent}}\))
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22. what type of angles do we call if they are in corresponding positio…
Corresponding Angles
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1. solve for side c.
$c\approx17.43$ m
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21. if two angles are situated on the same side of the transversal, and…
Consecutive Exterior Angles
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find the missing angle, labeled with x.
\(16.3\)
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20. what type of angles do we call if they are on opposite sides of the…
Alternate Exterior Angles
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19. if two parallel lines are crossed by a transversal, what do we call…
Consecutive Interior Angles
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18. when ∠1 & ∠2 are on opposite sides of the transversal but inside th…
Alternate interior angles
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17. what type of angle pair is formed when ∠1 & ∠2 are on the same side…
Consecutive exterior angles
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when using the head - to - tail method to draw a vector addition diagra…
tail of the first vector to the head of the last vector
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16. what do you call the pair of angles formed when ∠1 & ∠2 are on oppo…
Alternate exterior angles
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15. what is the name of the angle pair where ∠1 & ∠2 are on the same si…
Consecutive interior angles
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use the diagram to find the measures of all the angles, given that ( ma…
\(m\angle1 = 21^{\circ}\) \(m\angle3 = 21^{\circ}\) \(m\angle4 = 159^{\circ}\)
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14. from the image on the left: classify the pair of angles. ∠6 and ∠7 …
alternate interior
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use the diagram to find the measures of all the angles, given that ( ma…
\(m\angle2 = 104^{\circ}\), \(m\angle3 = 76^{\circ}\), \(m\angle4 = 104^{\circ}\)
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13. from the image on the left: classify the pair of angles. ∠4 and ∠5 …
alternate exterior
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mental math start with the area of a square that has a length of 3. 103…
9, 24, 20, 23, 24, 8
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12. from the image on the left: classify the pair of angles. ∠6 and ∠3 …
same - side interior
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11. from the image on the left: classify the pair of angles. ∠4 and ∠2 …
corresponding
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add the digits in your number. the sum of that is your new number. 6 6 …
46 138 24 40 40
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practice a read each group of words. circle sentence, fragment, or run …
1. sentence 2. fragment 3. run - on 4. sentence 5. run - on
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7. name one pair of alternate exterior angles. 10. from the question on…
D. $\angle7$ and $\angle4$
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6. name one pair of corresponding angles. 9. from the question on the l…
D. ∠8 and ∠6
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5. name one pair of same - side interior angles. 8. from the question o…
D. \(\angle8\) and \(\angle6\)
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4. name one pair of alternate interior angles 7. from the question on t…
D. ∠8 and ∠6
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6. what is your answer to the last question on the video (image on the …
D. $\angle1$ and $\angle3$, $\angle2$ and $\angle4$, $\angle8$ and $\angle6$
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4. select all that apply: in the diagram above, what are the correspond…
\(\angle2\ \&\ \angle6\), \(\angle3\ \&\ \angle7\), \(\angle1\ \&\ \angle5\), \(\angle4\ \&\ \angle8\)
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measure of each angle. \\( \\angle u v w \\) and \\( \\angle x y z \\) …
\(m\angle UVW = 12^{\circ}\), \(m\angle XYZ=78^{\circ}\)
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find the measure of each angle. ∠qrt = □° ∠trs = □°
\(\angle QRT = 106^{\circ}\), \(\angle TRS=74^{\circ}\)
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plot the point (4, -4) in a rectangular coordinate system. plot (4, -4).
The point \((4, - 4)\) is plotted \(4\) units to the right of the \(y\) - axis and \(4\) units below the \(x\) - axis.
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∠5 is a supplement of ∠6, and ( m∠5 = 78^{circ} ). find ( m∠6 ). ( m∠6=…
\(102\)
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∠1 is a complement of ∠2, and ( m∠1 = 23^{circ} ). find ( m∠2 ). ( m∠2 …
\(67\)
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3. select all that apply: in the diagram above, what are the same-side …
$\angle3\ \&\ \angle5$, $\angle4\ \&\ \angle5$