幾何
三角形、円、座標幾何、証明問題。
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given ( m parallel n ), find the value of ( x ) and ( y ).
\( x = 129 \), \( y = 51 \)
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two parallel vertical lines (with arrows) are cut by a transversal. ang…
\(x = 36\)
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two gears are adjusted so that the smaller gear drives the larger one, …
Approximately \( 137^\circ \) (or more precisely \( \frac{3.5\times270}{6.9}\approx136.96^\circ \))
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a*———1———•b———3x+7———•o 6x + 42 find bo. figure is not drawn to scale.
37
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consider the statement an obtuse angle, b, measures ( 90^circ < mangle …
s: a. If an angle \( B \) is obtuse, then \( 90^\circ < m\angle B < 180^\circ \). b. If \( 90^\circ < m\angle B < 180^\circ \), then angle \( B \) is obtuse. d. An angle \( B \) i…
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choosing the best option to fill in the blank for the following stateme…
( ) particular (✓) line ( ) circle ( ) transformation
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consider the statement an obtuse angle, b, measures ( 90^circ < mangle …
B. \(\angle B\) is an obtuse angle if and only if \(90^{\circ}< m\angle B < 180^{\circ}\)
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diagram shows two intersecting lines (one vertical, one diagonal) with …
# Explanation: ## Step1: Identify vertical angles The angles \((30x + 4)^\circ\) and \(86^\circ\) are vertical angles, so they are equal. \[30x + 4 = 86\] ## Step2: Solve for \(x\…
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which statement is true about perpendicular lines? the lines intersect …
The lines intersect at a right angle.
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franklin made a scale drawing of a wrestling mat. find the scale for th…
10
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the equation ( a(w) = w^2 + 5w ) represents the relationship between th…
A. \( A(w) \) increases as \( w \) increases when \( w > 0 \)
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addison made a scale drawing of a football field. try again to find the…
For 1 inch = $\boldsymbol{5}$ yards (linear scale) and 1 in² = $\boldsymbol{25}$ yd² (area scale).
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3 (30x + 4)° 86°
# Explanation: ## Step1: Identify angle relationship The two angles \((30x + 4)^\circ\) and \(56^\circ\) are vertical angles? Wait, no, actually, looking at the diagram, they are …
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given the figure, where ∠pmn is congruent to ∠qmn, and ∠p is congruent …
\( \triangle MPN \cong \triangle MQN \)
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4 a. suppose the farmer buys another \\(\\frac{1}{2}\\) square mile of …
32 ### Part b
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the graph shows a plane . the line is slanting and therefore has a slop…
1. The graph shows a plane $\boldsymbol{\text{descending}}$. 2. The line is slanting $\boldsymbol{\text{downwards}}$ and therefore has a $\boldsymbol{\text{negative}}$ slope. 3. I…
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an octahedron and its net are shown below. all the faces are the same s…
499.2 $cm^2$
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what is the circumference of this circle? r = 2 km 10.14 km 18.16 km 15…
12.56 km
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④ a. suppose the farmer buys another \\(\\frac{1}{2}\\) square mile of …
32
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③ if he divides his land into square fields that are \\(\\frac{1}{4}\\)…
16
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write the two conditional statements that form the following biconditio…
C. If the sum of their measures is 180 degrees, then two angles are supplementary. D. If two angles are supplementary, then the sum of their measures is 180 degrees.
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b is the midpoint of \\(\\overline{ac}\\). \\(bc = 47\\) and \\(ac = y …
\( y = 101 \), \( AB = 47 \), \( AC = 94 \)
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7. sketch plane m intersecting plane n. then sketch plane o so that it …
(Visual Sketch Description) 1. **Sketch Plane \( M \) and Plane \( N \) Intersection**: - Draw two intersecting planes, \( M \) and \( N \). Represent each plane as a parallelogra…
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choose the best option to fill in the blank for the following statement…
B. line (assuming the second option is labeled B, with the text "line")
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1. measure with cubits. then measure with palms. object | cubits | palm…
### Question 1: | Object | Cubits | Palms | |--------|--------|-------| | Table | 1 | 6 | (Note: Actual values may vary based on the size of the table and the person's cubit/palm …
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a farmer has one square mile of land. ① if he divides his land into squ…
9 ### Problem ③
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coloring activity e an equation and solve 2 (2x + 10)° 72°
\(x = 4\)
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answer the following questions. 1) choose the best answer. which is the…
B. a figure formed by two rays with a common endpoint (assuming the options are labeled as A, B, C, D with A being the first option, B the second, etc.) ### Question 2
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a farmer has one square mile of land. ① if he divides his land into squ…
4
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a farmer has one square mile of land. ① if he divides his land into squ…
4
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name date lesson 1.1 practice continued for use with the lesson \identi…
(This is a drawing - based problem, and the following is a description of the drawing steps) 1. First, draw four non - collinear points: - On a piece of paper, mark point \(A\), p…
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which type of triangle, if any, can be formed with sides measuring 8 in…
an isosceles triangle
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the figure below is dilated by a factor of \\(\\frac{1}{2}\\) centered …
The dilated figure has vertices at \( B'(0,3) \), \( F'(2,2) \), \( E'(2.5,-2) \), \( D'(-2,-3) \), \( C'(-2,2) \) (plotted on the coordinate plane as per the dilation rule).
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write the negation of the hypothesis and the negation of the conclusion…
E. A polygon is not a decagon.
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write the negation of the hypothesis and the negation of the conclusion…
F. A polygon’s interior angle measures do not total \(1, \text{ and}?\)
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given: $overline{qr} perp overline{pt}$ and $angle qpr cong angle str$ …
To prove \( \triangle PQR \sim \triangle TSR \): ### Statements: 1. \( \overline{QR} \perp \overline{PT} \) (Given) 2. \( \angle QRP = 90^\circ \), \( \angle SRT = 90^\circ \) (De…
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what is the negation of the conclusion? a. a polygon has angles that al…
G. A polygon is not a regular hexagon
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write the negation of the hypothesis and the negation of the conclusion…
F. A polygon does not have angles that all measure \(120^\circ\)
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in the diagram below, lines b and c are parallel. what is the measure o…
70
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what is the negation of the hypothesis? a. if a polygon is a regular he…
D. A polygon is not a regular hexagon.
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two interior angles of a triangle each measure 34°. what is the measure…
\(112^\circ\)
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a lake near the arctic circle is covered by a 2-meter-thick sheet of ic…
B. Slope and \( y \)-intercept
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find the truth value of the conditional. explain your reasoning, or sho…
D. If the hypothesis is true and two lines are parallel, then they do not intersect, and so the conclusion is also true. Therefore, the conditional is true.
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transversals day 1 identify each pair of angles as corresponding, alter…
Adjacent ### Problem 2:
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in exercises 13–15, use the diagram. 13. name 12 different rays. 4. nam…
Ray \( \overrightarrow{CA} \), Ray \( \overrightarrow{CB} \), Ray \( \overrightarrow{CD} \), Ray \( \overrightarrow{CE} \), Ray \( \overrightarrow{DC} \), Ray \( \overrightarrow{E…
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what type of triangle can be formed with angle measures of 32°, 116°, a…
an obtuse isosceles triangle
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a lake near the arctic circle is covered by a 2-meter-thick sheet of ic…
B. Slope and y - intercept
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choose the correct answer below. a. if an angle is a right angle, then …
A. If an angle is a right angle, then it measures \(90^\circ\)
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write the following statement in the if-then form. a side of a square m…
B. If the side’s measure is 36 inches, then the side of a square measures 3 feet.
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what is the perimeter of rectangle pqrs? type the number in the box. un…
20
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consider the statement \an obtuse angle, b, measures ( 90^circ < mangle…
D. The conditional statement is true.
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consider the statement \an obtuse angle, b, measures ( 90^circ < mangle…
B. If \( 90^{\circ}<m\angle B < 180^{\circ} \), then \( \angle B \) is an obtuse angle.
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the volume of the cone shown in the figure below is \\( \\frac{1}{3} \\…
\(\frac{16}{3}\pi h\)
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2. points h, i, and j are coplanar. 3. $overrightarrow{eg}$ and $overri…
True
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what is the distance between point a (-2, -1) and point b (3, 2)?
\(\sqrt{34}\)
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start with a circle whose equation is ((x - a)^2 + (y - b)^2 = r^2). di…
D. All circles are similar to a circle with a radius of 1 unit.
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determine which diagram could be used to prove △abc ~ △edc using simila…
The first diagram (the left - most diagram)
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for use with the lesson \identify points, lines, and planes\ use the di…
False
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on a map, haven rd and pine rd are parallel, and mills rd is a transver…
Alternate exterior angles are congruent, so \(x = 137^\circ\) (the last option: Alternate exterior angles are congruent, so \(x = 137^\circ\)).
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on a map, haven rd and pine rd are parallel, and mills rd is a transver…
Alternate exterior angles are congruent, so \(x = 137^{\circ}\) (the fourth option: "Alternate exterior angles are congruent, so \(x = 137^{\circ}\)")
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3. use the number line to answer parts (a) and (b). a. plot a point tha…
(for part a description): Point G is plotted at -4 (4 units left of 0, same distance from 0 as F (at 4) but different location).
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name four coplanar points. separate your list with commas.
M, N, O, U
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you enjoy playing board games with your best friend. your favorite boar…
The area of the board game is \( 617.76 \) square centimeters. ### Perimeter of the Board Game
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reflection, then rotation reflection, then translation translation, the…
reflection, then translation
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find the value of m (diagram shows a figure with points c, d, a, b, an …
\( 82^\circ \)
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to find the area, a of a rectangle you multiply the rectangle’s length,…
The width of the rectangle is \( x + 5 \)
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try it! 1. given two angle measures in a triangle, can you find the mea…
Yes, we can find the measure of the third angle. The sum of the interior angles of a triangle is \( 180^\circ \). If the two known angles are \( \angle 1 \) and \( \angle 2 \), th…
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the distance between city a and city b is 22 miles. the distance betwee…
an acute triangle, because \(22^{2}+51^{2}>54^{2}\) (corresponding to the option "an acute triangle, because \(22^{2}+51^{2}>54^{2}\)")
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he measures of triangle angles angle measures of a triangle? experiment…
The sum of the angle measures of a triangle is \( 180^\circ \)
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given right triangle xyz, what is the value of tan(60°)? triangle diagr…
\(\sqrt{3}\)
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two parallel lines are crossed by a transversal. if m∠1=61.8°, then wha…
\(118.2^\circ\)
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look at this shape: which image shows a rotation? a b c
A
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triangle rst has vertices r(2, 0), s(4, 0), and t(1, −3). the image of …
\( R_{0,270^\circ} \)
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the perimeter p of a rectangle is found by the twice the sum of the len…
\( w = \frac{P}{2} - L \) ### Part 2: Solve for \( b_1 \) in \( A = \frac{1}{2}h(b_1 + b_2) \)
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find the value of m
\( m = 128^\circ \)
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is there a series of rigid transformations that could map △klp to △qnm?…
Yes, $\triangle KLP$ can be reflected across the line containing $\overline{KP}$ and then translated so that $P$ is mapped to $M$.
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algebra $overrightarrow{bd}$ bisects $angle abc$. solve for $x$ and fin…
\(x = 5\), \(m\angle ABC = 50^\circ\) ### Problem 28
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what is the vertical change from... what is the horizontal change from.…
To solve the problem, we first identify the coordinates of points \( A \) and \( B \). From the graph, we can see that: - Point \( A \) has coordinates \( (2, 2) \) (assuming the …
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which figures are shown in the diagram? select three options. line cd, …
A. point D, B. ray CD, C. segment CD (assuming the options are labeled as such, but in the given options, the correct three are point D, ray CD, segment CD)
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which type of triangle are the incenter, circumcenter, centroid, and or…
Right
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any obtuse triangle, which point of concurrency lies outside the triang…
B. circumcenter, C. orthocenter
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a line segment has endpoints at (3, 2) and (2, -3). which reflection wi…
a reflection of the line segment across the x - axis
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kite wxyz is graphed on a coordinate plane. what is the area of the kit…
14 square units
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8. if you eat breakfast, then you won’t be hungry in the morning. • con…
- Converse: If a number is divisible by 2, then it is even. - True/False? True - Counterexample: None ### Problem 2:
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if tu = 6 units, what must be true? options: su + ut = rt rt + tu = rs …
A. \( SU + UT = RT \)
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15 determine the unknown angle triangle with angle at a: 120°, angle at…
26
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c) ( 3.5 \times 10^{-3} ) __________ d) ( 1.08 \times 10^{-7} ) _______…
s: - c) \( 0.0035 \) - d) \( 0.000000108 \) - REVIEW: Expanded form: \( 58000 \); Number sets: Natural, Whole, Integer, Rational
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reflect the figure over the line x = 4. plot all of the points of the r…
The reflected points are \((3, 5)\), \((2, 7)\), \((0, 8)\), and \((-1, 4)\) (plot these points on the given coordinate system).
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2. write a symbol (<, >, =) in each circle to compare the two numbers. …
A) \(>\) B) \(<\) C) \(<\)
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1.2 homework - pg. 16 # 1 - 4 and 7, 9, 11 13 - 19 all, in exercises 13…
22 ### Problem 14
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consider circle e. segment cd is the perpendicular bisector of (overlin…
90 degrees
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what is the shape of the front of the mexican tote bag? use the drop-do…
The shape of the front of the tote bag is a trapezoid because it has 4 of sides that are with one pair parallel. (The exact wording may vary based on the drop - down options, but …
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c) $3.5 \\times 10^{-3}$ __________ d) $1.08 \\times 10^{-7}$ _________…
s: - c) \( \boldsymbol{0.0035} \) - d) \( \boldsymbol{0.000000108} \) - REVIEW: Expanded form: \( \boldsymbol{58000} \) (or \( 5 \times 10^4 + 8 \times 10^3 \)); Number sets: Natu…
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in exercises 13–19, find fh.
\( 19 \) (Note: If the values in the diagram are different, adjust the substitution. For example, if another problem has \( FG = 11 \) and \( GH = 13 \), then \( FH = 11 + 13 = 24…
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reflect the figure over the line y = -3. plot all of the points of the …
The reflected points are \(\boldsymbol{(-7, 3)}\), \(\boldsymbol{(-5, -1)}\), \(\boldsymbol{(-1, 1)}\), and \(\boldsymbol{(-5, 3)}\). Plot these points to form the reflected figur…
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period: 1 date: 09/10/25 2-4 classwork page 1 if-then statements and co…
- Converse: If it is cold, then it is snowing. - True/False? False - Counterexample: A cold, clear winter day with no snow (e.g., \( 30^\circ\text{F} \), sunny, no snow). ### Prob…
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2: given scientific notation write in standard form a) 4.3 × 10³ ______…
4300 ### Part b: \( 2.198 \times 10^6 \) to Standard Form
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which of the following cannot be the lengths of the three sides of a tr…
3, 6, 9 mm
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which of the following cannot be the lengths of the three sides of a tr…
3, 6, 9 mm
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9. evaluate the expression ( ab - 2(ab + a^2) + 3a^2 ) when ( a = 5 ) a…
45