幾何
三角形、圓、解析幾何與證明題。
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1) write the number of sides that relate to each type of polygon/shape.…
s: 1) | type of polygon | Number of sides | | ---- | ---- | | triangle | 3 | | rectangle | 4 | | pentagon | 5 | | hexagon | 6 | | octagon | 8 | 2) True
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question 5 8 pts given the following diagram... (diagram of a plane wit…
B. point L (assuming the options are labeled as such, but based on the content, the correct choice is point L)
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convert the angle θ = \\frac{5π}{12} radians to degrees. express your a…
\( 75 \)
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given the following diagram... what is the intersection of lines p and …
C. point E
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convert the angle θ = 70° to radians. express your answer exactly. θ = …
\( \frac{7\pi}{18} \)
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for the following figure, complete the statement for the specified poin…
coplanar
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opposite rays form a: line ray point plane
A. line
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which transformations will produce similar, but not congruent, figures?…
- Parallelogram \( JKLM \) is dilated by a scale factor of 6 and then translated 2 units down to form parallelogram \( J''K''L''M'' \). - Parallelogram \( JKLM \) is translated 6 …
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points a, b, and c are plotted on the unit circle. which of the coordin…
The \(y\)-coordinate of point \(C\) (i.e., the \(y\)-value of point \(C\) on the unit circle) is equal to \(\sin(310^\circ)\).
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lesson 3 practice problems 1. this diagram is a straightedge and compas…
A. Line \( CD \) is perpendicular to segment \( AB \), B. Point \( M \) is the midpoint of segment \( AB \), E. \( CB + BD > CD \) ### Problem 2
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triangle mno is reflected across the x-axis and then rotated 90° clockw…
The correct option is: Triangle \(MNO\) is reflected across the \(y\) - axis and then dilated by a scale factor of \(1.8\) to form triangle \(M''N''O''\) (the option with reflecti…
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calculator select from the drop-down menus to correctly complete each s…
2
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if points n, u, and t are collinear, name all the segments they determi…
The segments determined by collinear points \( K \), \( N \), \( U \), and \( T \) are \( \overline{KN} \), \( \overline{KU} \), \( \overline{KT} \), \( \overline{NU} \), \( \over…
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if points s, o, and n are collinear, how many lines do they determine? …
one
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what is the area of a triangle with vertices at (0, 0), (4, 0), and (4,…
6 square units ### Second Question (Square Perimeter)
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a park shaped like a pentagon has four equal length sides and one unequ…
40
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additional details were added for this assignment. select from the drop…
# Explanation: ## Step1: Analyze the reflection axis First, let's look at the coordinates of triangle \(ABC\) and \(DEF\). For triangle \(ABC\), points are \(A(-1,3)\), \(B(-4,3)\…
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s, u, n are collinear. what point is between the other two if nu=1, su=…
U
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1 given the vertices of a rectangle at (1, 2), (1, 6), (5, 2), and (5, …
16
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trapezoid efgh has coordinates e(-3, 4), f(1, 4), g(3, 1), and h(-5, 1)…
Trapezoid EFGH was dilated by a scale factor of 4 and then rotated \(180^{\circ}\) counterclockwise.
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s, u, n are collinear. select the point that satisfies the definition o…
U
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what is the value of the y-coordinate of point a? choose 1 answer:
The \(y\)-coordinate of point \(A\) is \(\boldsymbol{\sin(165^\circ) = \frac{\sqrt{6} - \sqrt{2}}{4} \approx 0.259}\) (or exactly \(\frac{\sqrt{6} - \sqrt{2}}{4}\)).
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which sequence of transformations would result in a figure that is simi…
- a rotation about the origin of \( 50^\circ \) followed by a dilation with a scale factor of 8 - a dilation with a scale factor of 0.6 followed by a translation of 2 units up
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m∠abc = 90° what type of angle is it? obtuse straight right acute
C. right
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m∠abc = 180° what type of angle is it? obtuse straight right acute
B. straight
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the length of (overline{ab}) is 9 centimeters. a dilation with a scale …
18
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point o is between points m and n on line segment mn. o is the midpoint…
B. \( OM = NM \) (Wait, actually the correct one should be \( OM = ON \) or \( OM = MN/2 \), but from the options, let's re - evaluate. The midpoint divides the segment into two e…
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which scale factors produce an expansion under a dilation of the origin…
C. 7, D. 8
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point o is between points g and d on line m. which of the following sta…
B. \( GO = OD \)
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find the distance between the points (5, -2) and (-1, -2) ○ 6 ○ 8 ○ 4 ○…
6
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m∠abc = 45° what type of angle is it? obtuse straight right acute
D. acute
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pre-image abcd was dilated to produce image abcd. what is the scale fac…
\(\frac{3}{4}\)
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m∠abc = 170° what type of angle is it? obtuse straight right acute
obtuse
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consider right triangle △jkl below. which expressions represent the len…
Possible expressions include \( \boldsymbol{\sqrt{3^2 + 5.2^2}} \), \( \boldsymbol{\frac{3}{\cos 60^\circ}} \), \( \boldsymbol{\frac{5.2}{\sin 60^\circ}} \) (or exact forms using …
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a sporting goods store sells triangular team pennants in two sizes. the…
3
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calculator a sporting goods store sells triangular team pennants in two…
3
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the people of bridgetown wanted to build a bridge across a nearby river…
\(60.16\)
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check for understanding: function vs not a function determine if the fo…
s: 1. Function 2. Not a Function (assuming the table - like relation has an \(x\) with multiple \(y\)s) 3. Not a Function (assuming an \(x\) in the domain has multiple mappings) 4…
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work by pair fill in the missing reasons in the two - column proof belo…
### Step 1: Analyze Statement 1 - **Statement**: Line AB intersects line CD at point E - **Reason**: This is given information, so the reason is "Given". ### Step 2: Analyze State…
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select from the drop-down menu to correctly complete the statement abou…
neither similar nor congruent
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select all the equations that satisfy this fact. in the figure shown, a…
- \( SA = AM \) - \( SM + AM = SA \) (This is incorrect, correct should be \( SA + AM = SM \)) - \( AM + SM = SA \) (This is incorrect, correct should be \( SA + AM = SM \)) - \( …
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in the figure, m∠4 = 118° find the angle measure. justify each step a. …
\( m\angle8 = 118^\circ \) (∠4 ≅ ∠8 by Corresponding Angles Postulate; \( m\angle8 = 118^\circ \) by Substitution Property as \( m\angle4 = m\angle8 \) from congruent angles defin…
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work by pair fill in the missing reasons in the two - column proof belo…
1. Definition of intersecting lines 2. When two lines intersect, they form two pairs of vertical angles 3. (No perfect match from given, but likely related to intersection - maybe…
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what is the main difference between a line segment and a ray? a ray has…
A line segment has two endpoints, while a ray has only one endpoint and extends infinitely in one direction. (Corresponding to the second option in the choices) ### Second Questio…
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for the following figure, complete the statement about the points. r • …
collinear, between the points
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use one of the triangles to approximate pq in the triangle below.
Approximately \( 5.36 \) (or more accurately, using calculator: \( \sin(50^\circ) \approx 0.7660 \), so \( 7 \times 0.7660 = 5.362 \), so approximately \( 5.36 \) or \( 5.4 \) dep…
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city engineering seventh avenue runs perpendicular to 1st and 2nd stree…
\( 65^\circ \)
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what is sec(∠a)? reduce fractional answers to lowest terms. (diagram: r…
$\frac{13}{5}$
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ramps a parking garage ramp rises to connect two horizontal levels of a…
\(10^\circ\)
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ac = \boxed{} round your answer to the nearest hundredth. diagram: righ…
\( 0.93 \)
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in the figure, m∠7 = 100°. find the measure of ∠11.
\( 100^\circ \)
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archimedes went to sleep beside a big rock. he wanted to get up at 7 am…
\(8.32\)
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in the figure, m∠7 = 100°. find the measure of ∠5.
\(80^{\circ}\)
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use one of the triangles to approximate the ratio \\(\\frac{kl}{jl}\\).
\( \approx 0.84 \) (or more precisely \( \approx 0.8391 \))
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decide whether a line with the given slope slants upward or downward or…
B. The line is horizontal.
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determine the congruence transformation used on △abc that resulted in △…
△ABC was reflected across the y-axis then shifted 2 units to the right and 2 units up
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what is the value of r? (diagram with angle 53.4° and angle r)
36.6°
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consider right triangle △jkl below. which expressions are equivalent to…
To solve for the expressions equivalent to \(\sin(\angle K)\) in right triangle \(\triangle JKL\) (with the right angle at \(J\)): ### Step 1: Recall the definition of sine in a r…
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assess parallelograms adcb and ehgf to decide if they are congruent. (1…
Yes, ADCB ≅ EHGF because parallelogram ADCB was translated.
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the measure of an angle is 22.1°. what is the measure of its complement…
\(67.9\)
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the measure of an angle is 140.7°. what is the measure of its supplemen…
\(39.3\)
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what is cot(∠a)? reduce fractional answers to lowest terms. right trian…
$\frac{3}{4}$
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what is the value of m? 122.6° m
\(57.4^\circ\)
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what is csc(∠b)? reduce fractional answers to lowest terms. triangle wi…
\( \frac{5}{3} \)
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what is the value of u? diagram with angle u and 130.7° angle, along a …
\(49.3^\circ\)
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what is the value of v?
\( 35.2^\circ \)
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what is sec(∠b)? reduce fractional answers to lowest terms.
\(\frac{5}{3}\)
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identify the following composition transformation mapping: ((x, y) \to …
Option #4: rotate 180 degrees, then up 5
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the measure of an angle is 90.4°. what is the measure of its supplement…
\(89.6\)
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compositions of transformations practice complete this assessment to re…
Option #1: $(x,y) \to (x,-y - 3)$
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find the base of a parallelogram with an area (a) of 60 square inches a…
15 inches
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the measure of an angle is 29.2°. what is the measure of its complement…
\(60.8^\circ\)
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what is cot(∠b)? reduce fractional answers to lowest terms. diagram: ri…
$\frac{7}{24}$
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what is the value of q?
\( 46 \)
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what is the value of y? (diagram of two intersecting lines with a 66° a…
\(66\)
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△abc was transformed into △def. determine which statement about this tr…
Statement 1: △ABC ≅ △DEF because △ABC was shifted across the y-axis.
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what is csc(∠a)? reduce fractional answers to lowest terms. (image of r…
\( \frac{13}{12} \)
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determining vertices after a sequence of transformations analyze the pr…
\(C''=(1,2)\), \(D''=(1,0)\)
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the measure of an angle is 169°. what is the measure of its supplementa…
\(11\)
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what is sec(∠b)? reduce fractional answers to lowest terms.
\( \frac{5}{3} \)
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the measure of an angle is 2°. what is the measure of its complementary…
\(88\)
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maria determined that △abc is congruent with △abc because it was rotate…
Statement 1. Yes △ABC was rotated 270° (counterclockwise) and is congruent with △A'B'C'.
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what is cot(∠a)? reduce fractional answers to lowest terms. triangle wi…
$\frac{12}{5}$
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what is the value of g?
\( 110^\circ \)
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what is the value of m?
\(135\)
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the measure of an angle is 92°. what is the measure of its supplementar…
\(88^\circ\)
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the measure of an angle is 138°. what is the measure of its supplementa…
\(42\)
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the measure of an angle is 15°. what is the measure of its complementar…
\(75\)
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in the following diagram, points c, a, and b are collinear. use complet…
Since points \( C \), \( A \), and \( B \) are collinear (lying on a straight line) with \( A \) between \( C \) and \( B \), the sum of the lengths of segment \( CA \) and segmen…
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points c, a, and b are collinear. how many labeled points are between p…
zero
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a line intersects two parallel lines, forming four acute angles and fou…
\(1840\)
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4. p(2, -1), q(-3, -1), r(-11, 9), s(-7, 9) table with columns: ( mleft…
| \( m(\overleftrightarrow{PQ}) \) | \( m(\overleftrightarrow{RS}) \) | Types of Lines | | --- | --- | --- | | \( 0 \) | \( 0 \) | Parallel (Horizontal) |
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analyzing a sequence of transformations kyta applied ( r_m circ t_{0,3}…
A. She applied a rotation instead of a reflection B. She applied the rotation to the triangle first
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3. p(-4, 17), q(1, -3), r(-9, 3), s(-5, 4) table with columns: ( mleft(…
| \( m(\overline{PQ}) \) | \( m(\overline{RS}) \) | Types of Lines | |-----------------------|-----------------------|----------------| | \( -4 \) | \( \frac{1}{4} \) | Perpendicu…
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points c, a, and b are collinear. which of the following are opposite r…
$\overleftrightarrow{CA}$ and $\overleftrightarrow{AB}$ (Wait, actually, the correct opposite rays should have the same endpoint and form a straight line. Looking at the diagram, …
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ac = \\boxed{ } round your answer to the nearest hundredth. triangle wi…
\( 3.06 \)
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pq and rs are parallel, perpendicular, or neither. 2. p(-3, 14), q(2, -…
| $m(\overline{PQ})$ | $m(\overline{RS})$ | Types of Lines | |--------------------|--------------------|----------------| | $-3$ | $3$ | Neither |
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drawed (red box with triangle), drew (blue box with diamond), draw (rig…
B. Drew (suponiendo que las opciones son A. Drawed, B. Drew, etc. Si la estructura es la de la imagen con "Drew" en el botón azul, la respuesta es la opción con "Drew" como la for…
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we use the π symbol on our calculator when performing calculations that…
True
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1. p(-9, -4), q(-7, -1), r(-2, 5), s(-6, -1) | ( mleft(overleftrightarr…
| \( m(\overline{PQ}) \) | \( m(\overline{RS}) \) | Types of Lines | |-----------------------|-----------------------|----------------| | \( \frac{3}{2} \) | \( \frac{3}{2} \) | P…