Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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you start driving east for 14 miles, turn left, and drive north for ano…
$17.2$ miles
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in the parking lot below, the spaces are parallel to one another. m∠1=(…
$x=\frac{45}{7}$, $y = 9$
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the area of a rectangle is 135 square units. its length measures 9 unit…
$17.5$
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a pair of parallel lines are intersected by a transversal as shown belo…
77
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if you place a 38 - foot ladder against the top of a 25 - foot building…
$28.6$ feet
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an altitude is drawn from the vertex of an isosceles triangle, forming …
43.0 inches
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what is the slope of the line in the coordinate plane? hint: slope is r…
C. $m = \frac{4}{1}$
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a certain television is advertised as a 90 - inch tv (the diagonal leng…
$64.3$ inches
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what is the image point of (-7,7) after a translation right 1 unit and …
(-6, 4)
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1 true or false: after a rotation, parallel line segments of a figure a…
A. True
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what is the image point of (9, 4) after a translation left 5 units and …
(4, 5)
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what is the image point of (0, 8) after a translation right 3 units and…
$(3,3)$
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matching 3. match the haircutting tools with their descriptions. tools …
1. c. Trimmers 2. f. Tail combs 3. e. Wide - tooth combs 4. a. Haircutting razors 5. g. Barber combs 6. b. Clippers 7. d. Sectioning clips 8. d. Sectioning clips 9. c. Trimmers 10…
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2. what three places were part of the triangle trade? during the trip f…
2. Europe, Africa, Americas 3. The Middle Passage was a horrible time for slaves with high mortality rates due to harsh conditions.
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2. solve for x. round answers to the nearest tenth.
$14.4$
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2c word study: synonyms and antonyms each group of words contains two w…
1. Circle "center", "periphery", A 2. Circle "propensity", "tendency", S 3. Circle "reduction", "increment", A 4. No circle 5. Circle "accessories", "accoutrements", S 6. Circle "…
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the area of a rectangle is 66 m², and the length of the rectangle is 1 …
The width of the rectangle is $5.5$ m and the length is $12$ m.
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name the relation of the two angles notated in the given picture.
Complementary
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the exterior angle of a triangle: is 90 degrees is the sum of the two i…
is the sum of the two interior angles not touching the exterior
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what is the relationship between <f and <c? alternate interior angles c…
B. Corresponding Angles
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what is the relationship between <g and <b? alternate interior angles c…
Corresponding Angles
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1. solve for angle y in degrees and minutes. 19 y 15 51°42 52°8 38°17
$38^{\circ}17'$
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the curved edges of the shape formed by the solid black lines are half …
Perimeter: \(126.24\) cm, Area: \(808.96\) cm²
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what is the supplement to ∠4? ∠1 ∠5 ∠3 ∠6
∠5
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directions: simplify each expression by combining like terms. 1. 8y - 9…
1. \(-y\) 2. \(9a - 7\) 3. \(14x-2\) 4. \(7d-6\) 5. \(2a + 5\) 6. \(2x+11y + 4\) 7. \(-a + 3b-1\) 8. \(10c^{2}-2c + 5\) 9. \(5a^{2}b^{2}-ab^{2}\) 10. \(16x-4\)
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2 fill in the blank 1 point the slope of the parallel line is type your…
$-\frac{1}{2}$
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7.) p(-3,8) q(7,5) r(2,3) s(-6,-1) reflect across x - axis 8.) p(5,3) q…
7. $P'(-3,-8),Q'(7,-5),R'(2,-3),S'(-6,1)$ 8. $P'(-5,3),Q'(-1,-2),R'(-1,7),S'(2,0)$ 9. $P'(0,2),Q'(2,4),R'(2,-5),S'(-1,0)$ 10. $X'(1,2),Y'(7,4),Z'(8,-2)$ 11. $X'(-4,-1),Y'(-2,0),Z'…
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true or false 1 point. the transformation shown is a translation.
True
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10 multiple choice 1 point this shows the first step of which construct…
Perpendicular through a point
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line ab is parallel to line cd. what is the measure of ∠4? 180° 120° 10…
100°
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5a) what is the area of this circle? 5b) what is the perimeter of this …
The area of the circle is $\frac{169\pi n^{2}}{4}$, and the perimeter of the polygon is $8 + 4\sqrt{2}$.
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6. the function (d(x)=\frac{x}{4}+2.5) represents the number of miles a…
6. B. 10; G. the number of miles traveled 30 minutes after 8:00 a.m. 7. A. $r=\frac{360\cdot L_a}{2\pi x}$
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multiple choice 1 point which of the following is not a property of all…
diagonals bisect the angles
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multiple choice 1 point a rectangle has the following vertices: a(-1, 9…
36 units
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in exercises 35 and 36, show that the points form the vertices of the i…
For Exercise 35, the points $(4,0),(2,1),(-1,-5)$ form a right - triangle. For Exercise 36, the points $(1,-3),(3,2),(-2,4)$ form an isosceles triangle.
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13 fill in the blank 4 points given the points, a(3, 1) and b(9, 7), fi…
The slope is 1. The midpoint is (6,4). The distance of the segment is the square root of 72 and, in decimal form, 8.5.
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coordinate geometry. use the graph to answer the questions. multiple an…
A. $(1,3)$ B. $(-5,6)$ D. $(3,2)$
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coordinate geometry. use the graph to answer the questions. fill in the…
$2$
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23. regular pentagon qrstu is shown, where p is the center. which trans…
23. D. rotation of 144° about point P 24. C. Translation and Reflection 25. B. Reflection across line n
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here is a map showing a plot of land in the shape of a right triangle. …
The area of the right - triangle on the scale - drawing is $\frac{1}{2}xy$ square centimeters, where $x$ and $y$ are the measured lengths of the two legs of the right - triangle i…
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in exercises 23 and 24, (a) find the length of each side of the right t…
- **Exercise 23**: - (a) Horizontal side: 4, Vertical side: 3, Hypotenuse: 5. - (b) Satisfies the Pythagorean Theorem since \(3^{2}+4^{2}=5^{2}\). - **Exercise 24**: - (a) Horizon…
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coordinate geometry use the graph to answer the questions. fill in the …
\(-\frac{1}{2}\)
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16. arya is a computer graphics designer and is working on an ad for th…
16. C. $180^{\circ}$ rotation. 17. B. figure 4 18. D. A rotation of $180^{\circ}$ about the point $(2,2)$.
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13. the figures show the pre - image (abcd) and image (abcd) under a tr…
B ### 14.
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10. write the coordinates for △pqr after a translation of 10 units left…
C. Quadrant II ### 11.
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1.) x(4,2) y(1,-2) z(3,0) reflect across x - axis 2.) x(3,-4) y(-5,6) z…
1. $X'(4,-2),Y'(1,2),Z'(3,0)$ 2. $X'(-3,-4),Y'(5,6),Z'(7,8)$ 3. $X'(-7,1),Y'(3,4),Z'(-1,3)$ 4. $X'(2,1),Y'(5,3),Z'(4,5)$ 5. $X'(-2,-1),Y'(-4,0),Z'(-9,-5)$ 6. $X'(3,6),Y'(-2,-1),Z'…
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5. lines k and m are perpendicular and intersect at point r. points q a…
A. A reflection over line k maps point Q onto Q' ### 6.
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5. lines k and m are perpendicular and intersect at point r. points q a…
A. A reflection over line k maps point Q onto Q'
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rigid transformations: reflection, translation, rotation read and analy…
1. D. I, II and IV 2. C. 5 units left and 4 units up 3. B. Translation 4. A.
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examples 5 and 6 suppose m is the mid - point of (overline{fg}). find e…
\(FG = 16\) ### 40.
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fill in the blank (check for understanding) use each choice below only …
5. flips 6. turned 7. slides 8. FALSE
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decide whether the triangles are similar. if so, determine the appropri…
The triangles are not similar, no expression for x can be found.
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4. d(3, 5) is the image of d after a 270° counterclockwise rotation abo…
$(-5,3)$
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dora is writing statements as shown below to prove that if segment st i…
\((3x + 24)\times51 = 3x\times65\)
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determine which translations would map figure g onto figure ii. press t…
(Let's say after counting, the horizontal displacement is 3 units to the left and 2 units up. So the answer is) A translation - 3 units and 2 units.
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which sequence of transformations will map figure q onto figure q? tran…
Translation of $(x,y - 2)$, reflection over $x = 1$, and $180^{\circ}$ rotation about the origin
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4. use the graph of the trapezoid to the right to answer where will def…
The trapezoid D'E'F'G' will be in the fourth quadrant.
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maria drew two parallel lines, kl and mn, intersected by a transversal …
C. Vertical angles MSQ and RSN are equal, and alternate interior angles KRS and RSN are equal
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find the exact value of each of the six trigonometric functions of θ, i…
$\sin\theta=-\frac{5\sqrt{41}}{41}$ $\cos\theta=-\frac{4\sqrt{41}}{41}$ $\tan\theta=\frac{5}{4}$ $\csc\theta=-\frac{\sqrt{41}}{5}$ $\sec\theta=-\frac{\sqrt{41}}{4}$ $\cot\theta=\f…
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3c) find both x and y. sc 4 i can apply the pythagorean theorem and its…
\(x=\frac{1}{2},y = 8.45\) (for the angle problem); Cannot solve 4a; Distance in 4b is approximately \(70.71\); \(x = 4\) in 4c.
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example 3 find the coordinates of the midpoint of a segment with the gi…
\((4,6)\) 20.
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use reference angles to find the exact value of the following expressio…
A. $\sin\frac{5\pi}{4}=-\frac{\sqrt{2}}{2}$
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3. the vertices for triangle abc are (-2,3), (2,-2) and (6,-2). the tri…
$A'(-2,-13)$; $B'(2,-8)$; $C'(6,-8)$
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angle - side - angle quadrilateral abcd is a parallelogram. by definiti…
1. \(\angle BAC\) and \(\angle DCA\), \(\angle ACB\) and \(\angle CAD\) are congruent as they are alternate - interior angles formed by parallel lines and a transversal. 2. The sh…
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example 4 find the coordinates of the missing endpoint if b is the midp…
33. $(1,6)$ 34. $(-7,-5)$ 35. $(16,-4)$ 36. $(0,-8)$ 37. $(-12,13.25)$ 38. $(\frac{11}{3},14)$
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the scale factor of a model of a building to the actual building is 8.4…
| Scale Model Measurement (in inches) | Actual Measurement (in feet) | Sides of the Building | |---|---|---| | 1.5 | 12.6 | Side 1 | | 2 | 16.8 | Side 2 | | 1.9 | 15.96 | Side 3 |…
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find the reference angle for the angle 351°. the reference angle is °. …
\(9\)
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u2 lesson 6/7: isosceles triangle and side - angle - side * create a an…
| Statement | Reason | |--|--| | $PA\cong PB$ | Definition of isosceles triangle | | $\angle BPJ\cong\angle APJ$ | Definition of angle bisector | | $PJ\cong PJ$ | Reflexive proper…
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show all of your work on this worksheet and then enter your answers on …
2) $x = 3$ 3) The measure of angle B is $62^{\circ}$ 4) See the above - filled two - column proof.
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select the correct answer and press the submit button. the author inclu…
D. describe the destruction left by the storm.
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the area of a circle is 36π feet². which of the following represents th…
D. $12\pi$
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7 if a line segment has endpoints a(3x + 5,3y) and b(x - 1,-y), what ar…
2) $(2x + 2,y)$
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use reference angles to find the exact value of the following expressio…
A. $\csc\frac{5\pi}{3}=-\frac{2\sqrt{3}}{3}$
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which of the following represents the height of a triangle, in meters, …
8
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2. zoe wants to move her garden, and she needs to figure out what the p…
a. $A'(-5,9),B'(4,9),C'(-5,5),D'(4,5)$ b. The lengths of $CA$ and $C'A'$ are equal. c. The areas of rectangle $ABCD$ and rectangle $A'B'C'D'$ are equal.
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use reference angles to find the exact value of the following expressio…
A. $\tan330^{\circ}=-\frac{\sqrt{3}}{3}$
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what is the slope of this line? simplify your answer and write it as a …
$-\frac{5}{2}$
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from life on the mississippi i still keep in mind a certain wonderful s…
3. His way of seeing the river shifts from mysterious wonder to objective analysis as he becomes a steamboating expert.
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which of the following represents the length, in ft, of the second leg …
$57$
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example 3 find the coordinates of the midpoint of a segment with the gi…
\((4,6)\) 20.
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which of the following represents the width, in m, of a right rectangul…
A. 4
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the value v represents the volume, in cubic inches, of a cube. which of…
$\sqrt[3]{V}$ (the third option)
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an angle has a measure of $\frac{3pi}{20}$ radians. what is the measure…
A. 27
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test chapter 1 part b: 1. if ln = 6x - 5, lm = x + 7, and mn = 3x + 20,…
\(x = 16\), \(MN = 68\) 3.
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complete the statements below. we see that ∠1 and ∠2 are (choose one) t…
We see that ∠1 and ∠2 are vertical angles. Thus, ∠1 and ∠2 are congruent. So, \(m\angle2=m\angle1\) (let's assume \(m\angle1 = 50^{\circ}\), then \(m\angle2 = 50^{\circ}\)). We se…
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example 2 17. home improvement callie wants to build a fence halfway be…
17. 14 yards 18. Pizza Now is 0.25 mile from Calvino's home. The two pizzerias are 0.5 mile apart.
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1.) x(5,2) y(2,-2) z(-4,-3) 90° clockwise rotation 2.) x(0,5) y(-3,8) z…
1. X(2,-5), Y(-2,-2), Z(-3,4) 2. X(0,-5), Y(3,-8), Z(-2,6) 3. X(3,-1), Y(-7,-4), Z(3,2)
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t ? u 20 v 32 find tu 8 12 20 52
B. 12
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if de = 4x - 1, ef = 9, and df = 9x - 22, find the value of x.
6
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describe the error in finding the slope of the line. m = \\frac{3 - 1}{…
The denominator should be $2 - 4$. The correct slope of the line is $-1$
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triangle abc has vertices a(-2, 5), b(1, 0), and c(6, -2). what are the…
A. A(-2, 5), B(1, 0), C(6, -2)
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use tools use the number line to find the coordinate of the mid - point…
13. 10 14. 1 15. 3.5 16. 2
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what is the rule used to transform △abc to its image? a(-3, 5), b(2, 8)…
C. $r(x,y)=(x,-y)$
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5. (1.3) using the graph below, fill in each of the key features in fun…
Domain: $[-10,10]$ Range: $[-3,7]$ Maximum: 7 Minimum: - 3 Interval(s) of increase: $[-7,-5],[6,10]$ Interval(s) of decrease: $[-10,-7],[1,6]$ x - intercept: $x=-6,x = 0,x = 4$ y …
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in the figure shown, which composition of rigid transformations will ma…
D. a rotation followed by a translation
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warm up 3 which of the following describes the location of the point (-…
A. 4 units to the left and 5 units up
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this is a 2 - page document! use the diagram below to answer questions …
1. $LN = 37$ 2. $MN = 23$ 3. $x = 4$ 4. $EF = 47$ 5. $UW = 67$ 6. $x = 7$ 7. $x = 14$, $BC = 27$, $CD = 61$, $BD = 88$ 8. $AB = 24$
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on the coordinate grid below, point m is halfway between point j and po…
$(4,-9)$
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warm up 2 which of the following describes the location of the point (3…
C. 3 units to the right and 2 units up
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place the coordinates that best complete the sentence. mike and brad ar…
$(-2,11)$