幾何
三角形、円、座標幾何、証明問題。
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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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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…
$(-2,11)$
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note: angles not necessarily drawn to scale. x =
$80$
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which sequence of transformations maps pqrst onto pqrst? a reflection a…
a. a reflection across the y - axis followed by a translation right 4 units and up 3 units
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14 line segment ab has endpoint a located at the origin. line segment a…
2) $(2,-8)$
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an angle is a geometric figure that consists of two intersecting lines.…
C. two rays with a common endpoint.
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which sequence of transformations maps efgh onto efgh? a translation ri…
a rotation 90° counterclockwise around the origin followed by a translation right 2 units and up 1 unit
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which statement is true about $overrightarrow{pq}$? points $p$ and $q$ …
Point $Q$ is the endpoint of $\overrightarrow{PQ}$.
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what is a name for the marked angle? choose 1 answer: ∠eab ∠cad
A. \(\angle EAB\)
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place the coordinates that best complete the sentence. the midpoint of …
$(-39,23)$
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place the coordinates that correctly complete the sentence. the midpoin…
C. $(10,-2)$
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which angle refers to the same angle as ∠def? choose 1 answer:
$\angle FED$
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use matrix multiplication to double side 1 (left), triple side 3 (right…
The coordinates of the transformation are \(A'(-5,10)\), \(B'(4,11)\), and \(C'(0,0)\)
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∠m measures 31°. (a) find the supplement of ∠m. (b) find the complement…
(a) 149° (b) 59°
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prove △ace is an isosceles triangle. statements ab≅, bc≅, ∠abc≅ reasons…
\(\triangle ACE\) is an isosceles triangle because \(AC = EC\) as shown by the congruence of \(\triangle ABC\) and \(\triangle EDC\) and the properties of a regular pentagon.
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the figure shows right triangle abc with altitude cd, where △acd ~ △cbd…
The first blank is $\frac{x}{a}$, the second blank is $\frac{y}{b}$, the reason for $a^{2}=cx,b^{2}=cy$ is multiplication property, the reason for $a^{2}+b^{2}=cx + cy$ is additio…
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graph the image of rectangle abcd after a reflection over the y - axis.
Graph the rectangle with vertices $A'(10,-4)$, $B'(4,-4)$, $C'(4,5)$, $D'(10,5)$
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the graph shows pentagons mnopq and mnopq. which sequence of transforma…
Una traslación de 6 unidades hacia la izquierda y 7 unidades hacia arriba.
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drag words into blanks to complete the definition of a circle. circle: …
plane, points, distance, center
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11) find (mangle fgh) if (mangle zgh = 128^{circ}) and (mangle fgz=22^{…
(11) $106^{\circ}$ (13) $90^{\circ}$ (14) $77^{\circ}$ (15) $77^{\circ}$ (16) $109^{\circ}$ (17) $24^{\circ}$ (18) $120^{\circ}$ (19) $54^{\circ}$ (20) $105^{\circ}$
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on the given coordinate system, sketch the graph of a straight line wit…
D.
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geometry naming, classifying and finding angle measures practice activi…
2. Vertex: \(S\), Name: \(\angle RST\), \(\angle TSR\), \(\angle S\), Classify: Acute 3. Vertex: \(J\), Name: \(\angle IJH\), \(\angle HJI\), \(\angle J\), Classify: Obtuse 4. Ver…
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in the figure, line t is tangent to circle a at point b. point c lies o…
1. $\angle ACB$ 2. $\angle ABC$ 3. $AB$ 4. $AC$ 5. $B$ 6. $C$ 7. $AB$ 8. $AC$
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solve for x setup: setup: x=
Setup: $3x = 60$ $x = 20$
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explain why the arc length, s, divided by the radius is the same, regar…
There are $2\pi$ radians in a circle, so the ratio of the central angle to the entire circle is given by the expression $\frac{\theta}{2\pi}$. The circumference of a circle with r…
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which statements are sufficient to conclude ∠xcy must be a right - angl…
A. \(m\angle XZY = 45^{\circ}\) C. \(m\overset{\frown}{XY}=90^{\circ}\)
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practice distributed and integrated 1. write each decimal as a fraction…
1. **For writing 0.24 as a fraction in lowest - terms**: - # Explanation: - ## Step1: Write 0.24 as a fraction - 0.24 can be written as $\frac{24}{100}$ since 0.24 means 24 hundre…
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jonas constructed a perpendicular bisector as shown. which statements a…
A. It is perpendicular to $\overline{AB}$, B. It divides $\overline{AB}$ into two congruent line segments, D. The distance from any point on the bisector to $A$ is equal to the di…
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what combination of transformations is shown below? reflection, then tr…
C. rotation, then translation
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what combination of transformations is shown below? rotation, then tran…
A. rotation, then translation
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5 jennifers brother matthew has one more brother than he has sisters. h…
2
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what combination of transformations is shown below? reflection, then tr…
A. reflection, then translation
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7. 62° (7x + 14)° (15x - 4)° 22x+56=160 22x=124 x = 5 8. 80° (10x + 6)°…
Problem 7: $x = 10$ Problem 8: $x = 13$ Problem 9: $x=\frac{37}{3}\approx12.33$ Problem 10: $x = 5$ Problem 11: $x = 9$ Problem 12: $x = 11$
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nate wants to visit his friend mac before going to the park. nates hous…
$(4,3)$
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if (mangle aoc = 85^{circ}), (mangle boc=2x + 10), and (mangle aob = 4x…
B. $m\angle BOC = 40^{\circ},m\angle AOB = 45^{\circ}$
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question 6 if m∠bof = 26 and m∠fog = 38, then what is the measure of ∠b…
B. 64
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question 5 are m, n, and o collinear? if so, name the line on which the…
d. No, the three points are not collinear.
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what combination of transformations is shown below? reflection, then tr…
reflection, then translation
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question 4 if $ef = 2x - 12$, $fg = 3x - 15$, and $eg = 23$, find the v…
D. $x = 10, EF = 8, FG = 15$ ### Question 5
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question 3 what are the names of three collinear points? a points a, j,…
D. Points L, J, and K are collinear.
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question 2 what is the name of the ray that is opposite $overrightarrow…
B. $\overrightarrow{BA}$
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segment addition and angle addition postulate question 1 name the ray i…
d. $\overrightarrow{AB}$
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use the distance formula to find the distance between x(-3,1) and y(4,-…
$8.6$
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give the location of seattle as an ordered pair (x, y).
$(-8,10)$
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what is the length of $overline{az}$? use the following information: a …
144
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find the distance between (-8, 6) and (7, -2). √5 √23 √15 17
$17$
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find the distance between the points on the graph. o $sqrt{17}$ o $sqrt…
$\sqrt{29}$
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circle the antecedent of each relative pronoun. then translate the brac…
1. Antecedent: urbs; Translation: in which many people live 2. Antecedent: Militi; Translation: whose sword was broken 3. Antecedent: flūmen; Translation: which is in the province…
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points a, b, and c are collinear. point b is between a and c. let ac = …
$x = - 12$
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select the geometric term modeled by the real - world objects. point li…
A drop of paint on a canvas: Point A baseball bat: Line Segment A period at the end of a sentence: Point A TV screen: Plane The very tip of a ballpoint pen: Point A white board: P…
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points a, b, and c are collinear. point b is between a and c. let bc = …
4
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m∠hgz = x + 31, m∠hgf = 88°, and m∠zgf = x + 67. find x.
-5
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similar figures test (topic 5) △pig is similar to △cat which proportion…
$\frac{PI}{CA}=\frac{PG}{CT}$ (corresponding to the correct - option in the multiple - choice format: the option that states $\frac{PI}{CA}=\frac{PG}{CT}$)
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similar figures test (topic 5) △pig is similar to △cat which proportion…
The correct proportion among the options (assuming the first - option is $\frac{PI}{CA}=\frac{IG}{AT}$) is the one that has the ratios of corresponding sides equal. Without seeing…
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similar figures test (topic 5) solve for x. 9 4 13.5 x + 4 x= 9 10 11
$2$
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in the figure, $overrightarrow{ed}$ and $overrightarrow{ea}$ are opposi…
$54$
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identify the hypothesis in the conditional statement below. point x lie…
Point X is the midpoint of segment AB.
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similar figures test (topic 5) △fg is similar to △cat which proportion …
(Without seeing the clear options, we cannot provide a specific option. But the general rule is that the proportion should be of the form \(\frac{\text{corresponding side in }\tri…
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a student is working on a geometric construction. if (overline{ab}) is …
A. Angle bisector
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in the figure, ∠qpr = ∠qmn. which criterion can be used to show △qmn ~ …
AA (Angle - Angle) similarity criterion can be used to show $\triangle QMN\sim\triangle QPR$.
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determine how, if possible, the triangles can be proved similar. 52° 38…
Not Similar
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similar figures test (topic 5) if △hbn ~ △lyr, find the value of x b 28…
$x = 11$ (rounded to the nearest whole number)
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a teacher draws triangle mnp on a coordinate plane. the teacher asks fo…
Falisha
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for this item, enter the answer in the space provided. triangle a under…
20
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what value of x will make ab perpendicular to cd?
\(7\)
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find the lateral area and surface area of the solid. round to the neare…
$L\approx234.1$ m²; $S\approx312.6$ m²
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which statements are true about additional information for proving that…
If $\angle B\cong\angle P$, then the triangles would be congruent by AAS; If $\overline{BC}\cong\overline{PQ}$, then the triangles would be congruent by ASA.
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use the number line to find the coordinate of the midpoint of each segm…
7. $3.5$ 8. $6$ 9. $-4$ 10. $-1$ 11. $8$ 12. $2$ 13. $8$ 14. $0$ 15. $2$ 16. $1$
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are the triangles congruent? why or why not? yes, all the angles of eac…
Yes, they are congruent by either ASA or AAS.
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two rigid transformations are used to map △jkl to △mnq. the first is a …
a rotation about point L
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what additional information is needed to prove that the triangles are c…
\(\angle N\cong\angle M\)
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given: ∠tsr and ∠qrs are right angles; ∠t≅∠q. prove: △tsr≅△qrs. step 1:…
of the AAS congruence theorem.
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the proof △abc≅△dcb that is shown. given: ∠a≅∠d; cd||ab prove: △abc≅△dc…
AAS
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what additional information could be used to prove that the triangles a…
B. $\angle A\cong\angle T$ and $AC = TQ = 3.2$ cm C. $\angle A\cong\angle T$ and $\angle B\cong\angle P$ D. $\angle A\cong\angle T$ and $\overline{BC}\cong\overline{PQ}$
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using the paths shown, how far is it from richmond to yardley? richmond…
$1\frac{11}{15}$ mi
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complete the sentence so that it uses personification. fine rays of sun…
peered