幾何
三角形、圓、解析幾何與證明題。
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2. draw two polygons that are similar but could be mistaken for not bei…
You can draw a square of side - length 2 and a square of side - length 4 for similar polygons. And a rectangle of length 4 and width 2 and a rectangle of length 8 and width 4 for …
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consecutive interior angles definition
Consecutive interior angles are two angles between two parallel lines and on the same - side of a transversal, and they are supplementary.
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a scale drawing of a house uses a scale of 0.5 inches = 2 feet. what is…
$1.25$ inches
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7. x = __________
4
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name______________________ period___ 9/18/25 geometry day 3 exit (midpo…
$(0.5,1.5)$
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8. what is the slope of the following line? 9. a rectangle is a
2
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5. what conjecture can you make about the number of regions created by …
El número de regiones creadas por $n$ diámetros es $2n$. ### 6.
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4) m is the mid - point of $overline{ab}$. solve for x. a m b 6x x + 15…
$3$
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question 14 module 3 test-logic and line relationships 4 $overline{xy}c…
C. Definition of Congruence
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alternate exterior angles definition
Alternate exterior angles are non - adjacent angles that lie outside two parallel lines and on opposite sides of a transversal.
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the triangles are similar. solve for x. (hint: use the similarity state…
$x = \frac{121}{35}$
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determine if the 2 triangles are similar. if so, determine why theorem …
Not Similar
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7. jason lives exactly halfway between the primary and secondary school…
a) The two schools are approximately $5\sqrt{5}\approx11.18$ km apart. b) The coordinates of the point equidistant from the two schools (mid - point) are $(9,5.5)$. c) The locus o…
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the triangles are similar. solve for x. (hint: set up the equation as a…
$x = 27.5$
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the equation (a = \frac{180(n - 2)}{n}) represents the angle measures, …
$-360$
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a quadrilateral is a trapezoid. always sometimes never
Sometimes
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2) solve for x. (2x)° 48° x = ______
$x = 66$
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1) find the area. area = ____________ cm²
$9.9$
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alternate interior angles definition
Alternate interior angles are non - adjacent angles that lie between two parallel lines and on opposite sides of a transversal, and are congruent when the lines are parallel.
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36) find the volume. volume = ____ units³
$118.08$
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34) which statement is true? a) ∠e≅∠f b) ∠g≅∠d c) ∠c≅∠a d) ∠a≅∠h
B. ∠G≅∠D
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find the y - intercept of the parabola y = x². simplify your answer and…
0
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35) find the distance from (0,3) to (4,0).
5
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linear pair definition
A linear pair is a pair of adjacent angles whose non - common sides are opposite rays and the sum of their measures is 180 degrees.
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5. write an equation for each circle.
The equation of the inner circle is $x^{2}+y^{2}=4$, and the equation of the outer circle is $x^{2}+y^{2}=16$.
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31) find the circumference. 20cm circumference = ____
$20\pi$ cm (or approximately $62.8$ cm if $\pi\approx3.14$)
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the exterior angles of triangle uvw are ∠x, ∠y, and ∠z, and they are ad…
B. 32°
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let line 1 with slope m1 and line 2 with slope m2 be two non - vertical…
D. It is possible for the value of $m_1$ to be zero
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28) find the area. area = ____ in²
45
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vertical angles definition
Vertical angles are the non - adjacent angles formed by the intersection of two lines, and they are congruent.
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29) solve for x. 40° (4x)° x = ____
\(x = 10\)
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the graphs show some properties of regular polygons. when compared with…
1
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find the value of x. question 6 (multiple choice)
15
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27) the perimeter of the triangle is 55cm. solve for x. 18cm 20cm x =
$17$
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adjacent angles definition
Adjacent angles are two angles that have a common vertex and a common - side and do not overlap.
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figure a select the caption for figure a that best supports the image r…
Use a protractor to measure the angles of the birdhouse roof.
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supplementary angles definition
Two angles whose sum is 180 degrees.
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construction lupita is building a gate following this diagram. if m∠lmn…
B. $94^{\circ}$
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if (mangle efg = 35^{circ}) and (mangle gfh = 63^{circ}), what is (mang…
$98^{\circ}$
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complementary angles definition
Two angles whose sum is 90 degrees.
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find the area of the rectangle. area: square kilometer(s)
$\frac{1}{6}$
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she reviewed how to find the area of shapes today. she, shapes, during …
She, polygons, today
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directions: for each number shown, classify it as either rational or ir…
# Explicación: ## Paso 1: Clasificar -0.6 -0.6 se puede escribir como $-\frac{6}{10}$, es un número racional. Además, es un decimal terminante. ## Paso 2: Clasificar $\sqrt{100}$ …
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which transformation or set of transformations will map a point (x, y) …
A. a dilation of scale factor 2 through the origin followed by a translation of right 1 unit
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use the diagram to answer the question. line segment $overline{cd}$ is …
A. $m\angle EFA = m\angle EFB = 90^{\circ}$ by definition of perpendicular so $\angle EFA=\angle EFB$, $\overline{AF}=\overline{BF}$ by the definition of mid - point, $\triangle E…
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which description of a figure and its image match the transformation de…
The figure and its image are similar and the image has been translated 3 units up.
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in the xy - plane, which of the following points lies on a circle with …
c. \((-k + 21,j + 20)\)
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the quadrilaterals abcd and jklm are similar. find the length x of jr.
4
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translate the figure 1 unit left and 7 units down. plot all of the poin…
Plot the points $(2,0)$, $(4, - 2)$, $(5,1)$ on the coordinate - plane.
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which description of a figure and its image match the transformation de…
A. The figure and its image are similar, but not congruent, and the image has been translated 1 unit up.
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the pentagons abcde and jklmn are similar. find the length x of jk.
$12$
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find the area of the rectangle. 1 1/2 yd 5/8 yd area: square yard(s)
$\frac{15}{16}$
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translate the figure 7 units left and 4 units down. plot all of the poi…
The translated points are $(-4,1)$, $(-3,-2)$, $(-4,3)$
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6. solve for r (radius) in the formula for the volume of a sphere: $v =…
$r=\sqrt[3]{\frac{3V}{4\pi}}$
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point f on the coordinate grid is reflected across a line to create poi…
Kari's claim is false.
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5. $overline{sp}congoverline{sq}$ 5. lines drawn to endpoints of a segm…
B. Jamie made his first mistake in Step 5. He used the statement he was trying to prove as a reason.
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jamie is proving that any point on the perpendicular bisector of a line…
The proof shows that any point on the perpendicular bisector of a line segment is equidistant from the endpoints of the line segment.
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which type of transformation is described by (x, y) → (x + 2, y + 3)? a…
C. a translation 2 units to the right and 3 units up
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line x is parallel to line y. line z intersects lines x and y. determin…
| Statement | Always True | Sometimes True | Never True | |--|--|--|--| | \(m\angle1 + m\angle4 = 180^{\circ}\) | \(\boxed{\text{Yes}}\) | | | | \(m\angle5 - m\angle7 = 0^{\circ}\…
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jessie draws triangle abc on a coordinate grid. the slope of line segme…
Rotation of 180° around the origin: Supports Jessie's Claim Reflection across the line y = 2: Supports Jessie's Claim Translation up 1.25 units: Supports Jessie's Claim Reflection…
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ron claims that the opposite sides of a quadrilateral are always congru…
D. trapezoid
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use the diagram to answer the question. line p is parallel to line q. w…
B. \(\angle5\cong\angle1\) and \(\angle6\cong\angle3\) because they are alternate interior angles of parallel lines cut by a transversal. \(m\angle1 + m\angle2 + m\angle3=180^{\ci…
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which pair of transformations is the same as a reflection across the y …
C. a rotation of \(180^{\circ}\) and a reflection across the \(x - \)axis
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parallel and perpendicular lines quiz complete consider the incomplete …
# Breve explicación: Sabemos que una reflexión sobre la bisectriz perpendicular de un segmento de recta intercambia los extremos del segmento. Dado que \(l\) es la bisectriz perpe…
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bar cookies are described as stiff dough pushed through a cookie press …
baked in a square or rectangle pan like a cake and cut into bars
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parallel and perpendicular lines quiz complete time remain 42:29 planes…
# Explicación breve: Las líneas en planos paralelos pueden ser paralelas o enlazadas (skew). Como no se especifica que las líneas sean paralelas y no están en el mismo plano, son …
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parallel and perpendicular lines quiz complete consider the diagram. wh…
# Explicación: ## Paso 1: Aplicar el teorema de Pitágoras En el triángulo rectángulo ABD, sabemos que \(AD = 16\) y \(BD=9\). Según el teorema de Pitágoras, en un triángulo rectán…
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geometry, measurements, data analysis similar right triangles find the …
5
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do questions 1 - 5 on scantron. for questions 6 - 10, write answers on …
C. A translation takes a line to a parallel line or to itself
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nit 2 test - two. 1. 2 2/3 + 1 1/2 3/5 + 2/3 4 1/3 + 2 1/2 2/3 - 1/6 2.…
1. $\frac{19}{15}$ (or $1\frac{4}{15}$), $6\frac{5}{6}$, $\frac{1}{2}$ 2. $\frac{2}{5}$ (drawing a model for fraction - multiplication involves dividing a rectangle into 5 equal p…
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show that each statement is false by providing a counterexample. (a) if…
(a) \(m\angle1 = 45\), \(m\angle2 = 45\) (b) length \( = 10\), width \( = 6\) (c) \(m\angle ABC = 10\), \(m\angle CBD = 46\) (d) \(m\angle P = 90\), \(m\angle Q = 45\), \(m\angle …
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do questions 1 - 5 on scantron. for questions 6 - 10, write answers on …
C. Point C, E. Point E
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geometry, measurement, data analysis similar right - triangles. find th…
$5$
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parallel and perpendicular lines quiz complete consider the diagram. wh…
# Explicación: ## Paso1: Observar el diagrama Vemos que X es el punto medio del segmento RT y l es la perpendicular bisectriz de RT. ## Paso2: Aplicar propiedades de la perpendicu…
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geometry, measurement, data analysis similar right triangles try again …
$3.5$
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separate and redraw the indicated triangle. identify any common angles …
$\overline{BP}$
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parallel and perpendicular lines quiz complete planes q and r are paral…
# Explicación: ## Paso 1: Definir líneas en planos paralelos Las líneas en planos paralelos pueden ser paralelas, perpendiculares o enespeculadas. Pero como no se especifica nada …
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show that each statement is false by providing a counterexample. (a) if…
(a) length = 10, width = 10 (b) $m\angle P = 90^{\circ}$, $m\angle Q = 45^{\circ}$, $m\angle R = 45^{\circ}$ (c) $XY = 5$, $YZ = 15$ (d) $m\angle 1 = 45^{\circ}$, $m\angle 2 = 45^…
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find the length x.
$\frac{35}{6}$
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parallel and perpendicular lines quiz complete 1 2 3 4 5 in the diagram…
# Explicación: ## Paso 1: Aplicar la propiedad de la bisectriz perpendicular Como la línea $a$ es la bisectriz perpendicular de $\overline{KM}$, entonces $KL = LM$. Entonces, $6x …
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do questions 1-5 on scantron. for questions 6-10, write answers on quiz…
Question 1: D. BC Question 2: D. 60 degrees
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geometry, measurement, data analysis similar right triangles find the l…
4
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show that each statement is false by providing a counterexample. (a) if…
(a) \(XY = 20\), \(YZ = 26\) (b) \(m\angle1 = 45\), \(m\angle2 = 45\) (c) \(m\angle P = 90\), \(m\angle Q = 40\), \(m\angle R = 50\) (d) length \(=10\), width \(=4\)
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parallel and perpendicular lines quiz complete in the diagram, the leng…
# Explicación: ## Paso 1: Igualar longitudes de segmentos congruentes Como los triángulos rectángulos STR y SVR son congruentes (hipotenusa - cateto), entonces $2x + 8=3x - 4$. Re…
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it is given that △dba ≅ △azd. 3. name the angle that corresponds to ∠ad…
3. $\angle ZDA$ 4. $\overline{ZD}$
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circle the letter next to the word or phrase that best completes the se…
1. C. having a great time. 2. B. play as hard as they can. 3. A. might feel as if you will cry. 4. B. from birth to death. 1. Social: She is very social and always organizes parti…
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list the corresponding angles and sides for △dyx and △dza, where △dyx≅△…
C. \(\angle YXD\) and \(\angle ZAD\), D. \(\angle XYD\) and \(\angle AZD\)
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list the corresponding angles and sides for △zyx and △zc w, where △zyx≅…
A. \(\angle YZX\) and \(\angle CZW\) C. \(\angle XYZ\) and \(\angle WCZ\)
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which of the following transformations maps stuv onto stuv?
Reflection over the y - axis.
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the graph shows triangles rst and rst. which of the following transform…
A reflection over the y - axis.
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draw a line representing the “rise” and a line representing the “run”. …
# Explanation: ## Paso 1: Elegir dos puntos en la línea Supongamos que tenemos dos puntos $(x_1,y_1)$ y $(x_2,y_2)$ en la línea. ## Paso 2: Calcular la "subida" (rise) La subida e…
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name______________________ period__ 9/8/25 geometry day 3 hw (midpoint)…
The mid - point is $(6,1)$ ### 3. Let the two endpoints be $(1,2)$ and $(2,3)$.
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if m∠1 = 29° and m∠2 = 92°, what is m∠3? a. 63° b. 121° c. 59° d. 122° …
C. \(59^{\circ}\)
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15. a map has a scale factor of $\frac{1 \text{ inch}}{30 \text{ feet}}…
The actual dimensions of the building are 60 feet by 90 feet.
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14. use coordinate notation to describe the dilation of triangle abc to…
\((x,y)\to(\frac{1}{2}x,\frac{1}{2}y)\)
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for the following intersection, the measurements of the indicated angle…
$\angle a = 57^{\circ}$, $\angle c = 57^{\circ}$
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what is the measure of angle n in degrees?
$n = 60$
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find the value of b.
$2$
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13. the vertices for abcd are (-2, -1), (-1, 3), (1, 3), and (2, -1). w…
$A'(-4,-2)$, $B'(-2,6)$, $C'(2,6)$, $D'(4,-2)$
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show your work here $m\\angle k = 52$ find the value of $x$. draw $(-6x…
$x=-8$