Geometría
Triángulos, círculos, geometría analítica y demostraciones.
-
determine if triangle lmn and triangle opq are or are not similar, and,…
The triangles are similar by the SSS (Side - Side - Side) similarity criterion because the ratios of their corresponding sides are equal ($\frac{32}{16}=\frac{40}{20}=\frac{42}{21…
-
match each slope in the first row with the graph displaying the line wi…
- Slope \(-7\): The line that falls from left to right (third graph from the left in the second row). - Slope \(0\): The horizontal line (first graph from the left in the second r…
-
find the measure of angle 5. label optional
\(81^{\circ}\)
-
find the measure of angle 6.
67
-
give the center and radius of the circle described by the equation and …
The center of the circle is \((1, 3)\). The radius of the circle is \(4\). The domain is \([-3,5]\). The range is \([-1,7]\).
-
a net for a three - dimensional figure is shown on grid paper. each squ…
52
-
use the given conditions to write an equation for the line in point - s…
Point - slope form: \( y + 4=\frac{3}{2}(x + 4) \) Slope - intercept form: \( y=\frac{3}{2}x + 2 \)
-
graph the line with the equation $y = \\frac{2}{5}x - 6$.
Plot the points \((0,-6)\) and \((5,-4)\) and draw a line through them to graph \(y = \frac{2}{5}x-6\).
-
a circle with center j is shown in the figure below. (a) name a diamete…
(a) \( \overline{KL} \) (b) \( \overline{JI} \) (or \( \overline{JK} \), \( \overline{JL} \)) (c) \( \overline{HM} \) (or \( \overline{KL} \)) (d) \( 5 \)
-
use the image below to find the requested values. find the measure of ∠…
\( -5 \)
-
graph the line with the equation $y = 2x - 1$.
Plot the points \((0,-1)\) and \((1,1)\) and draw a line through them to graph \(y = 2x-1\).
-
the triangle below is equilateral. find the length of side x in simples…
\(5\sqrt{3}\)
-
graph the line with the equation $y = \\frac{2}{5}x - 2$.
Plot the point \((0,-2)\) (y - intercept), then use the slope \(\frac{2}{5}\) (rise \(2\), run \(5\)) from \((0,-2)\) to get \((5,0)\), and draw a line through these two points.
-
graph the line with the equation $y = 2x - 2$.
Plot the points \((0,-2)\) and \((1,0)\) and draw a straight line through them to graph \(y = 2x-2\).
-
for each set of three measures, determine if they can be angle measures…
(a) Cannot be angle measures of a triangle (b) Can be angle measures of a triangle (c) Cannot be angle measures of a triangle (d) Can be angle measures of a triangle (For the tabl…
-
find the area of triangle abc with the given parts. round to the neares…
D. \(107\mathrm{cm}^2\)
-
which two triangles are congruent by the aas theorem? complete the cong…
$\triangle XYZ \cong \triangle EDF$ (or $\triangle XZY\cong\triangle EFD$; the most appropriate based on vertex correspondence with angle and side markings is $\triangle XYZ \cong…
-
graph the line with the equation $y = -\frac{3}{4}x + 5$.
Plot the point \((0,5)\) (y - intercept), then use the slope \(m =-\frac{3}{4}\) (move 3 units down and 4 units right from \((0,5)\) to get \((4,2)\)), and draw a straight line th…
-
the given figure shows a transformation of the graph of ( f(x) = |x| ).…
\(y=\frac{1}{2}\vert x + 2\vert+1\)
-
complete the square and write the given equation in standard form. then…
The equation in standard form is \((x - 1)^2 + (y - 3)^2 = 25\). The center of the circle is \((1, 3)\). The radius of the circle is \(r = 5\).
-
solve for x and graph the solution on the number line below. 4x - 4 ≤ 2…
Inequality Notation: \(x \leq 7\) or \(x \geq 12\) For the number line: Plot a closed circle at 7 and shade to the left, and a closed circle at 12 and shade to the right.
-
fatoumata spots an airplane on radar that is currently approaching in a…
The distance the plane traveled from point \(A\) to point \(B\) is \(\boxed{14296}\) feet.
-
find s. write your answer in simplest radical form. millimeters
\(12\)
-
in the diagram below, \\(\\overline{gh}\\) is parallel to \\(\\overline…
The length of \( \overline{DF} \) is \( 8.4 \).
-
graph the line with the equation $y = -3x + 3$.
Plot the points \((0,3)\) (y - intercept) and \((1,0)\) (x - intercept) and draw a straight line through them to graph \(y=-3x + 3\).
-
look at the image below. find the area of the parallelogram. square uni…
\( 30 \)
-
find the area of the figure. (sides meet at right angles.) 3 m 3 m 3 m …
\( 62 \, \text{square meters} \)
-
in the diagram below, \\(\\overline{op}\\) is parallel to \\(\\overline…
\( 6 \)
-
current skill $\\$$ find the measure of angle 8. label optional
\( 52^\circ \)
-
the shape is made of unit squares. what is the area of the shape? squar…
10
-
write the equation of the line in fully simplified slope-intercept form…
\(y = -5x + 8\)
-
△rst ~ △ryx by the sss similarity theorem. which ratio is also equal to…
D. \(\frac{ST}{YX}\) (assuming D is the option for \(\frac{ST}{YX}\); if options are labeled as given, the correct one is the last option: \(\frac{ST}{YX}\))
-
consider the two triangles shown. which statement is true? the given si…
The given sides and angles can be used to show similarity by both the SSS and SAS similarity theorems.
-
graph each equation. 9) \\(\\frac{x^2}{4} + \\frac{y^2}{9} = 1\\) graph…
The graph is a vertical ellipse centered at the origin with vertices at (0, ±3) and co-vertices at (±2, 0). (Plot these points and connect to form the ellipse.)
-
which grid has \\(\\frac{1}{2}\\) shaded?
The bottom - left grid (the third grid, or the grid in the bottom - left position)
-
if parallel lines a and b are cut by transversal t, which pair of angle…
$\boldsymbol{\angle 2}$ and $\boldsymbol{\angle 6}$ (the option with $\angle 2$ and $\angle 6$)
-
determine if triangle jkl and triangle mno are or are not similar, and,…
The triangles are similar by the SAS (Side - Angle - Side) similarity criterion because the ratio of the sides around the \(60^\circ\) angle in both triangles is equal (\(\frac{14…
-
the radius of a circle is 3 kilometers. what is the length of a 180° ar…
\( 3\pi \)
-
quadrilateral abcd shown below is dilated with the center of dilation a…
\( C' \)
-
use the drop - down menus to describe the transformations used to map △…
2 (for scale factor), and "similar" for the triangles. So the scale factor dropdown should be 2, and the triangles are similar.
-
use the drop - down menus to describe the transformations used to map $…
1) A translation of 4 unit(s) \(\boldsymbol{\text{right}}\) 2) A dilation centered at the origin with a scale factor greater than 1 (e.g., 2, depending on the graph's actual dimen…
-
there are three graphs. the first has a line segment with point f. the …
The Middle Graph (the graph with points P, Q, R)
-
use the drop - down menus to describe the transformations used to map $…
1) The first drop - down: 4 (units right, assuming the direction is right). 2) The dilation scale factor: 2. (For the first drop - down in the problem, select 4; for the dilation …
-
drag the tiles to the correct boxes to complete the pairs. not all tile…
Top graph (DF) → 3:2 Bottom graph (PR) → 1:1
-
the quadrilateral shown below is dilated with the center of dilation at…
\(A'(-40, -33)\)
-
use the drop - down menus to describe the transformations used to map $…
similar
-
use the drop - down menus to describe the transformations used to map $…
For the second transformation, the reflection is across the \( \boldsymbol{x} \)-axis. So the dropdown should be selected as "x-axis".
-
use the drop-down menus to describe the transformations used to map △ab…
1) A dilation centered at the origin with a scale factor of \( \boldsymbol{2} \) 2) A reflection across the \( \boldsymbol{x - axis} \) The triangles are \( \boldsymbol{similar} \)
-
use the drop-down menus to describe the transformations used to map $\\…
1) A dilation centered at the origin with a scale factor of \( \boldsymbol{\frac{3}{2}} \) (or \( 1.5 \)) 2) A reflection across the \( \boldsymbol{x\text{-axis}} \) The triangles…
-
the radius of a circle is 4 feet. what is the length of a 90° arc? 90° …
$2\pi$
-
drag the tiles to the correct boxes to complete the pairs. not all tile…
# Explanation: ## Step1: Analyze Segment DF First, find the coordinates of \( D \), \( E \), and \( F \). From the graph, \( D(-1, 5) \) (wait, no, looking at the grid: \( D \) is…
-
frank is drawing a floor plan of his house so he can remodel. he measur…
$6\frac{1}{2}$ (or 6.5) inches
-
frank is drawing a floor plan of his house so he can remodel. \\(\\frac…
6.5
-
frank is drawing a floor plan of his house so he can remodel. he measur…
6.5
-
andre looks at a scale drawing of a tennis court, but the scale is miss…
7
-
a model train locomotive is 7.5 inches long. it is built on a scale of …
75
-
drag each coordinate pair to the correct location on the figure. not al…
Point B: (-4, 6), Point D: (-1, 0)
-
the radius of a circle is 4 feet. what is the length of a 90° arc? 90° …
\( 2\pi \)
-
graph the line passing through the given point and having the indicated…
Plot the point \((-1,0)\). From \((-1,0)\), move 3 units to the right and 2 units down to get \((2,-2)\) (or 3 units to the left and 2 units up to get \((-4,2)\)), then draw a lin…
-
the radius of a circle is 8 feet. what is the length of a 135° arc? 135…
$6\pi$
-
the radius of a circle is 2 miles. what is the length of a 45° arc? r=2…
\(\frac{\pi}{2}\)
-
consider the two triangles shown. which statement is true? the given si…
The given sides and angles can be used to show similarity by both the SSS and SAS similarity theorems.
-
in the diagram, m∠f = 60°. to prove that the triangles are similar by t…
\(\angle I\) measures \(60^{\circ}\)
-
△rst ~ △ryx by the sss similarity theorem. which ratio is also equal to…
\(\frac{ST}{YX}\) (corresponding to the option with \(\frac{ST}{YX}\))
-
le similarity: sss and sas what value of x will make the triangles simi…
\(30\)
-
triangle similarity: sss and sas what value of x will make the triangle…
77
-
angle similarity: sss and sas the ratios of corresponding sides in the …
$\boldsymbol{\angle I\cong\angle F}$ (the first option)
-
date: ch kite. 2 m∠1 = m∠2 = m∠3 =
\( m\angle1 = 90^\circ \), \( m\angle2 = 11^\circ \), \( m\angle3 = 47^\circ \) (Note: The exact values may depend on the correct properties of the kite, but based on diagonals be…
-
¿cuáles pares de figuras son congruentes? ¿cuáles pares son semejantes?…
- Triángulos: Congruente? No; Semejante? Sí - Cuadrados: Congruente? Sí; Semejante? Sí - Círculos: Congruente? Sí; Semejante? Sí - Figuras "T": Congruente? No; Semejante? Sí
-
ova v. geometry sem a geometry angle similarity: sss and sas in the dia…
\(\overline{MN}\) and \(\overline{QR}\) (the option with \(\overline{MN}\) and \(\overline{QR}\))
-
a building is 2 ft from a 10-ft fence that surrounds the property. a wo…
\(18.0\)
-
¿cuáles pares de figuras son congruentes? ¿cuáles pares son semejantes?…
- Triángulos: Congruente? No; Semejante? Sí - Figuras "T": Congruente? No; Semejante? No - Rectángulos: Congruente? No; Semejante? No - Óvalo y círculo: Congruente? No; Semejante?…
-
consider the two triangles. how can the triangles be proven similar by …
The option: "Show that the ratios \(\frac{UV}{XY}\), \(\frac{WU}{ZX}\), and \(\frac{WV}{ZY}\) are equivalent." (the third option in the list of options)
-
similarity: sss and sas what value of x will make △onm similar to △srq …
25
-
find the value of x and the missing angle measures. triangle def with a…
\(x = 15\), \(m\angle D = 65^\circ\), \(m\angle E = 40^\circ\), \(m\angle F = 75^\circ\)
-
dilate △qrs by a scale factor of 3 with the center of dilation at the o…
\((-3,9)\)
-
para cada gráfica, decide si las dos rectas son paralelas, perpendicula…
Gráfico 1: Paralelas Gráfico 2: Perpendiculares Gráfico 3: Ninguna de las dos Gráfico 4: Ninguna de las dos
-
completing a proof of similar triangles | statements | reasons | | --- …
- Step 4: $WX = WY$; $WV = WZ$ - Step 6: substitution property - Step 9: SAS similarity theorem
-
determining a missing side length what value of x will make the triangl…
\( x = 28 \)
-
dilate $\\triangle qrs$ by a scale factor of 3 with the center of dilat…
C. Multiply each coordinate by 3.
-
86. consider the figures graphed below. which of the following are true…
A. $\triangle EDF$ is congruent to $\triangle BAC$ by a clockwise rotation about the origin. C. Quadrilateral $IHGJ$ is congruent to quadrilateral $RNPQ$ by a reflection in the li…
-
the movement of the progress bar may be uneven because questions can be…
74
-
82. points a(-2, 1) and b(2, 3) are the endpoints of \\(\\overline{ab}\…
B
-
76. consider the graphs of figures 1 and 2. complete the statement that…
0 (assuming the translation is 0 units? Wait, no, let's re-examine. Wait, maybe I misread. Wait, Figure 1: Let's take a point, say C is at (0,1)? Wait, no, the graph for Figure 1:…
-
72. δabc has vertices a(-3,2), b(-1,-4), and c(3,1). after two transfor…
B. A reflection in the \( y \)-axis using the rule \( (x,y) \to (-x,y) \), followed by a translation using the rule \( (x,y) \to (x + 1,y - 2) \).
-
write the equation of the line in fully simplified slope-intercept form.
\(y = -\frac{5}{2}x-8\)
-
65. this question has two parts. first, answer part a. then, answer par…
$x = 10$ ### Question 65 Part B
-
write the equation of the line in fully simplified slope-intercept form.
\( y=\frac{2}{5}x + 4 \)
-
57. decide which of the following statements about quadrilaterals are t…
A, C, E, F ### Question 58
-
in triangle abc, the measure of angle a is 30° and the measure of angle…
D. \(42\sqrt{3}\)
-
right rectangular prism x is similar to right rectangular prism y. the …
\(3024\)
-
two lines intersect at exactly one point, forming two acute angles and …
A. \((-18x + 320)^\circ\)
-
in triangle abc, the measure of angle a is 30° and the measure of angle…
D. \(42\sqrt{3}\)
-
19 mark for review a triangle is formed by the two points shown and a t…
A. \((-58,12)\)
-
in △jkl, the measures of both ∠j and ∠k are equal and the measure of ∠l…
D. \(16^\circ\)
-
what shape is this? cube \tcylinder cone \tpyramid
A. cube
-
challenge #1 use one or more transformations to transform the pre - ima…
Translate the purple (pre - image) 7 units up and 6 units to the right (or 6 units right and 7 units up) to transform it onto the white (image).
-
42. which of the following graph(s) does not show symmetry with the x-a…
# Explanation: ## Step1: Recall x - axis symmetry A graph is symmetric about the x - axis if for every point \((x,y)\) on the graph, the point \((x, - y)\) is also on the graph. I…
-
select all the quadrilaterals.
The quadrilaterals are: the blue parallelogram (top - left), the purple four - sided figure (bottom - left), and the orange rectangle (bottom - right). The green triangle (top - r…
-
which shape has 4 equal sides?
The blue diamond - shaped (the fourth) shape