几何
三角形、圆、解析几何与证明题。
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figure shows quadrilateral (abcd) with angles: (angle a = 90^circ), (an…
| | Right | Acute | Obtuse | |-------|-------|-------|--------| | \( \angle A \) | \( \circ \) | | | | \( \angle B \) | | | \( \circ \) | | \( \angle C \) | | \( \circ \) | | | \(…
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what is the circumference of a circle? ○ the distance around the outsid…
the distance around the outside of the circle
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what type of angle measures 36°? ○ obtuse ○ acute ○ opposite ○ adjacent
B. acute
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a pole is 3 feet long. it is longer than a pole that is 1 yard long. a …
The poles are the same length.
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9. the measure of an angle is 74.9°. what is the measure of its complem…
\(15.1^\circ\)
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14. a. list all the angles of rotation up to 360° that will carry the r…
The angles of rotation are \( 60^\circ, 120^\circ, 180^\circ, 240^\circ, 300^\circ, 360^\circ \) ### Question 14b
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in the figure below, x lies between w and y. find the location of x so …
-9
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in the figure below, b lies between a and c. find the location of b so …
-9
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write a rule for the translation of △lmn to △l′m′n′. (x, y) → (□, □)
\( (x - 5, y + 2) \)
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inverses quiz review name: period: part 4: determine the inverse relati…
\( f^{-1}(x) = \frac{x + 8}{3} \) (Explanation: To find the inverse, we swap \( x \) and \( y \) in the original function \( y = 3x - 8 \), then solve for \( y \) by reversing the…
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question 4 of 6 (1 point) | question attempt: 3 of unlimited in the fig…
-28
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a worker lays the floor of a 4-meter square shed. what is the floor’s a…
16 m²
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custom drapes are being fitted for a large circular window. it is diffi…
10
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13. what conditions must be present for corresponding angles to exist? …
For corresponding angles to exist, two lines (parallel or non - parallel) must be intersected by a transversal.
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circle o is inscribed in the given triangle. what is the perimeter of t…
44 units
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10. rotate $overline{ab}$ 90° clockwise around the point $(-2, 1)$ bonu…
The length of \( AB \) is \( \boldsymbol{\sqrt{13}} \) (or approximately \( \boldsymbol{3.61} \))
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what is the value of x? options: x=2 (marked with x), x=3, x=4, x=6 (di…
\(x = 3\)
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lm is tangent to ⊙n at point m. determine the following angle measures.…
\( m\angle M = 90^\circ \), \( m\angle L = 24^\circ \)
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14. a quadrilateral with two pairs of adjacent equal sides is... /// un…
A quadrilateral with two pairs of adjacent equal sides is a kite (in Spanish: Un cuadrilátero con dos pares de lados adyacentes iguales es un cometa / un deltoide).
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what is the value of x? o x=2 o x=3 o x=4 o x=6
\( x = 2 \)
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current skill $ j •--------x--------• k --------x-3--------• l |-------…
33
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$\\overleftrightarrow{wx}$ and $\\overleftrightarrow{yz}$ are shown on …
A valid point (e.g., \((0,0)\)) can be drawn. (Note: The actual drawing would place a point not on the two lines, like \((0,0)\) or other non - line - lying points on the grid.)
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current skill $ p•——11——•q——n——•r |——2n - 7——| find pr. figure is not d…
30
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k is between j and l, kl = 42, and jl = 47. find jk.
5
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7. which angle is vertical to ∠afe? // ¿qué ángulo es vertical a ∠afe?
# Explanation: ## Step1: Recall vertical angles definition Vertical angles are opposite angles formed by two intersecting lines, and they are equal in measure. ## Step2: Identify …
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current skill $ p •——— y ———• q ——— 2 ———• r |—————— 2y - 3 ——————| fin…
7
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directions: determine if the side lengths could form a triangle. use an…
To solve these triangle - related problems, we will use the **Triangle Inequality Theorem**. The theorem states that for a triangle with side lengths \(a\), \(b\), and \(c\): 1. \…
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points w, x, and y are collinear. point x is between w and y. wx = 8y +…
63
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y is the midpoint of \\(\\overline{wz}\\). x is the midpoint of \\(\\ov…
12
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current skill $ p•\t7\t\t2n+7\t•q\t•r \t\t3n-28 find pr. figure is not …
\( 98 \)
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move point b to various locations on the circle, and measure the angles…
- The angles formed by the intersection of the radius and tangent measure \( 90^\circ \). - The tangent is perpendicular to the radius. - The angles formed by the intersection of …
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10. a parallelogram with four right angles is... /// un paralelogramo c…
A parallelogram with four right angles is a rectangle (or a square, as a square is a special type of rectangle).
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in the diagram, the length of the external portion of the secant segmen…
# Explanation: ## Step1: Recall the Secant-Secant Theorem The Secant - Secant Theorem states that if two secant segments are drawn from a point outside a circle, then the product …
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10. a parallelogram with four right angles is... // un paralelogramo co…
A parallelogram with four right angles is a **rectangle** (or a square, which is a special type of rectangle).
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1. state the most specific name based on the diagram presented. // indi…
Equilateral Triangle
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pq and rs are shown on the coordinate plane below. draw exactly one poi…
To solve this, we identify the line \( \overleftrightarrow{PQ} \) (the line containing points \( P \) and \( Q \)). Any point on this line (e.g., a point along the line segment \(…
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4. which angle is complementary to ∠cfd? // ¿qué ángulo es complementar…
The angle complementary to \(\angle CFD\) is \(\angle CFB\) (or the angle adjacent to \(\angle CFD\) that forms a right angle with it, depending on the diagram's exact right - ang…
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place the following shapes given under the appropriate heading: shapes …
To solve, identify each shape's type (triangle, quadrilateral, curved - side, octagon) and drag to the matching heading (e.g., triangles to "Triangles", etc.).
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5. identify the following polygon. // identifique el siguiente polígono.
Triangle (or Triángulo in Spanish, but in the context of identifying the polygon, the standard name is Triangle)
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7 all parallelograms are quadrilaterals. a true b false
A. True
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name: munisa line bisectors construct a perpendicular bisector for each…
To construct the perpendicular bisector of a line segment (e.g., \( PQ \)): 1. Set a compass to a width \( > \frac{1}{2} \) the segment’s length. 2. Draw arcs above and below the …
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6 in which of the following circles is the line segment a diameter? a b…
C. The line segment in circle C passes through the center and has endpoints on the circle, satisfying the definition of a diameter.
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a is a line segment drawn from the center of the circle to any point on…
B. radius (assuming the options are labeled with the text, here the correct option is the one with "radius" as per the definition)
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a is a line segment drawn from the center of the circle to any point on…
The line segment is a radius.
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geo u1a vocab quiz 25-26 fill in the blank an obtuse angle is an angle …
An obtuse angle is an angle whose measure is greater than 90°, but less than 180°.
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based on the picture below, points k, n, and m are coplanar collinear
coplanar
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based on the picture below, points k, n, and m are coplanar
coplanar
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the measure of an angle is 63°. what is the measure of its supplementar…
\(117\)
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5. angles abc and def are complementary angles. if m∠abc = 72°, what is…
\(18^\circ\)
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find the distance between each pair of points. if necessary, round to t…
The distance between \( J(2,-1) \) and \( K(2,5) \) is \( 6 \). ### Problem 23: \( L(10, 14) \), \( M(-8, 14) \)
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check all relationships between ∠1 and ∠2. options: adjacent angles, su…
Adjacent Angles, Complementary Angles
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what is the value of p?
\(38\)
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to the properties that can describe it. quadrilaterals can be used more…
To solve this, we analyze each property and match with quadrilaterals (rhombus, square, rectangle, parallelogram, trapezoid): ### 1. "Has opposite sides that have the same measure…
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11 ∠stu and ∠vwx are supplementary angles. if m∠stu = 34°, what is m∠vw…
B. \(146^\circ\)
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if secant segments sr and tr intersect at point r, find the length of v…
The length of \( VT \) is \( \boxed{4} \).
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is the following statement a good definition? a rectangle is a quadrila…
yes
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what is the value of k? image of a straight line with a ray forming an …
\(99\)
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use the diagram shown. if ∠1 ≅ ∠2, which conclusion can be made? a. a |…
B. \( c \parallel d \)
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the measure of an angle is 61°. what is the measure of its complementar…
\(29\)
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is the following statement a good definition? a common tangent to two c…
no
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given ( a perp c ) and ( b perp c ), what can you say about ( a ) and (…
D. \(a \parallel b\); if two lines are perpendicular to the same line, then they are parallel to each other.
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solving problems with fractions check your understanding- question 4 of…
C. $\frac{5}{8}$ meter
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1. which of the following transformations creates congruent and paralle…
A. translation ### Question 2
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if ( mangle nop = 37 ) and ( mangle noq = 123 ), what is ( mangle poq )…
\( 86^\circ \)
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is the following statement a good definition? an equilateral triangle i…
yes
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if dm = 60, what is the value of r? 4r r + 5 d g m
\( r = 11 \)
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math 2 unit 1 test: transformations name: thiago goncalves version 1 1.…
A. translation ### Question 2
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6. state all the attributes that pertain to this polygon. // indica tod…
- It is a quadrilateral (4 - sided polygon). - It has 4 sides and 4 interior angles. - It contains one right angle (the angle between the bottom - horizontal side and the right - …
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use the figure shown. figure with intersecting lines, angles labeled: (…
C. 45
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is the following statement a good definition? an equilateral triangle i…
no
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use the figure shown. select the pairs of congruent corresponding angle…
A. ∠1 and ∠4, D. ∠3 and ∠6
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when a transversal crosses a pair of parallel lines, which types of ang…
B. same - side interior
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is the following statement a good definition? a pair of congruent circl…
yes
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in the diagram, line x is parallel to line y, m∠1 = 65°, and m∠7 = 55°.…
The sum of \(\angle1\), \(\angle7\), and \(\angle8\) is \(180^{\circ}\). \(\angle8\) and \(\angle12\) are corresponding (or alternate interior) angles. The measure of \(\angle12\)…
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fill in the blanks to write the contrapositive of the following stateme…
Contrapositive: If a polygon \(\boldsymbol{\text{is}}\) a triangle, then the polygon \(\boldsymbol{\text{has exactly}}\) three sides. Since a triangle has exactly three sides, the…
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a bicycle wheel is 63 centimeters from top to bottom. when the wheel go…
Because the wheel is circular, the height of the wheel is the \(\boldsymbol{\text{diameter}}\) of the circle. The distance traveled by the wheel when it goes all the way around on…
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complete the proof using the statements and reasons below. given: ∠1 an…
- Statement 2: \( \boldsymbol{m\angle 1 = m\angle 2} \) - Statement 3: \( \boldsymbol{m\angle 1 + m\angle 3 = 90} \) - Reason 3: \( \boldsymbol{\text{Substitution}} \)
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directions : circle the answer choice that represents the correct answe…
A. \( x = 15 \) BLACK ### Question 2: \( -5x + 5x + 2x - 6x - 12x = -16 \)
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how can zain use his drawing to derive the general equation of a circle…
First drop - down: \(|x - h|\) and \(|y - k|\) (or \(x - h\) and \(y - k\)) Second drop - down: Pythagorean theorem
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the base of the pyramid in the diagram is a regular hexagon. the length…
\( 187\space\text{ft}^3 \)
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a chemist has an empty cylinder with a height of 30 cm and a cone - sha…
10 cm
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is the following biconditional true? a triangle is isosceles if and onl…
yes
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devon reseeded a section of lawn that he plans to protect by putting a …
First, find the missing side length of the triangle, \(x\), by solving \(10^{2}+x^{2}=26^{2}\). Then use the value of \(x\) to calculate that \(60\) feet of fencing is needed for …
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the equation for (overline{qr}) is (5y = -4x + 41). is (overline{qr}) t…
Yes, because the slope of \( \overline{OR} \) times the slope of \( \overline{QR} \) equals \( -1 \).
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h(x) = x³ - 2 parent: ____ transformations: ____ for problems 10 – 14, …
\( f(x)=|x - 3| - 5 \) ### Problem 11
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what is the value of x? (5y + 10)° (3x + 7)° a 16 b 20 c 21 d 28
# Explanation: ## Step1: Find y using right angle The angle \( y^\circ \), \( (5y + 10)^\circ \), and the right angle (\( 90^\circ \)) are on a straight line, so their sum is \( 1…
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two congruent squares are shown in figures 1 and 2 below. figure 1 figu…
To solve the problem related to the proof of the Pythagorean Theorem using the two congruent squares, we analyze the figures: ### Step 1: Area of Shaded Triangles Both Figure 1 an…
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which conclusion can you make from the given statements? if a transvers…
A. ∠1 is congruent to ∠7
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identify two statements that contradict each other. i. ∠m is an obtuse …
A. I and II
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quadrilateral pqrs is rotated 90° clockwise about the origin to form qu…
1
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a square pyramid and its net are shown below. what is the surface area …
The surface area of the square pyramid is $\boldsymbol{736}$ square centimeters.
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quadrilateral abcd is a rhombus. part a complete the statement below us…
To solve the problem related to the rhombus \(ABCD\), we analyze the properties of a rhombus and the transformations involved: ### Part A: Mapping Segment \(BC\) to \(DC\) In a rh…
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adair advertising has 2 spherical balloons. one has a radius of 3 feet …
\( 410.3\space\text{ft}^3 \) (corresponding to the option "410.3 \( \text{ft}^3 \)")
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click the arrows to choose an answer from each menu. the volume of ice …
The volume of ice in shape 1 is $20$ cubic centimeters. The volume of ice in shape 2 is $10$ cubic centimeters. Shape 1 contains twice as much ice as shape 2. (Assuming Alicia's s…
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complete the proof. given: m∠1 + m∠2 = 90 prove: m∠3 = 90 diagram: vert…
First blank: the sum of ∠1 and ∠2 Second blank: \( m\angle 1 + m\angle 2=m\angle 3 \) Third blank: \( m\angle 3 = 90 \)
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lines rs, tv, and sw are shown. which statements are true about these l…
- Line SW has an undefined slope. - Line TV has a slope of 0. - Lines RS and TV are parallel.
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click the arrows to choose an answer from each menu. li choose... corre…
To solve this, we analyze the transformation between quadrilaterals \( A'B'C'D' \) and \( ABCD \): ### Step 1: Side Lengths A translation (or rigid transformation) preserves side …
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14. assume that δfgh ≅ δijh. which statements can be used to prove thei…
To determine which statements prove \(\triangle FGH \cong \triangle IJH\) by SSS (Side - Side - Side) Congruence Postulate, we need to identify pairs of corresponding sides that a…
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which of the following graphs below correctly shows triangle abc being …
The graph labeled with option B (the one with the orange triangle representing the reflected \( A'B'C' \)) correctly shows the reflection of triangle \( ABC \) across the line \( …
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13 triangle abc with right angle bdc is shown below. which additional f…
To prove \( \triangle ABD \cong \triangle CBD \) by SAS, we need two sides and the included angle. We know \( BD \) is common (side), and \( \angle ADB = \angle CDB = 90^\circ \) …