Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
-
write the coordinates of the vertices after a reflection over the x-axi…
\( E'(1, 3) \) \( F'(2, 3) \) \( G'(2, 7) \)
-
write the coordinates of the vertices after a reflection over the y-axi…
\( K'(-9, -1) \), \( L'(-9, 5) \), \( M'(-6, -2) \) Wait, wait, maybe I made a mistake in original coordinates. Let's recheck: Looking at the graph: - K: x=9, y=-1? Wait, no, the …
-
1. look at the figure. what is the area of the figure? a. 24 square uni…
C. 36 square units ### Question 2
-
what is ( moverarc{tv} )? there is a circle with center at the intersec…
\( 130 \)
-
lines a, b, c, and d intersect as shown. which pair of lines are parall…
D. \( b \) and \( d \)
-
28. the hypotenuse of the right triangle lmn shown below is 22 feet lon…
G. 16.5
-
graph this inequality: x < -5 plot points on the boundary line. select …
1. Draw a dotted vertical line at \( x = -5 \). 2. Shade the region to the left of the line \( x = -5 \).
-
do the figures below have rotational symmetry? point symmetry? if a fig…
### First Figure (Cross): - Rotational Symmetry? : Yes - Angle? : \(90^\circ\) - Point Symmetry? : Yes ### Second Figure (Y - shaped): - Rotational Symmetry? : Yes - Angle? : \(12…
-
(a) adjust the figure on the right to explore the different triangles t…
## Part (a) The two triangles do not have to be congruent. ## Part (b) The two triangles must be congruent.
-
in the diagram, line p is parallel to side bc. what is the sum of the m…
\( 106^\circ \)
-
sum of interior angles of a triangle in the diagram, line p is parallel…
\( 106 \)
-
4411vacr v. algebra 1 sem a cr- a sum of interior angles of a triangle …
\(106\)
-
relating angles of a straight line to angles in a triangle examine the …
Angle pair: Alternate Interior Angles \( m\angle A = 70^\circ \) \( m\angle B = 80^\circ \) \( m\angle C = 30^\circ \)
-
working with interior angles of a triangle manipulate the triangle so ∠…
The angle is obtuse.
-
question 9 (1 point) an overlay of an accessibility ramp of a building …
J. \(\frac{1}{6}\)
-
question 8 (1 point) in the square graphed below, what is the slope of …
C. 1
-
ing other measures drag a vertex of the triangle to change its shape. d…
The correct options are: - \(55^\circ\) and \(85^\circ\) - \(30^\circ\) and \(110^\circ\) - \(70^\circ\) and \(70^\circ\)
-
finding the sum of interior angles drag a vertex of the triangle to cha…
For \(m\angle B\): \(90^\circ\) For the sum of interior angles: \(180^\circ\)
-
angle measure and sum reset drag a vertex of the triangle to change its…
For \(m\angle B\), the approximate measure is \(30^\circ\). For the sum of \(m\angle A\), \(m\angle B\), and \(m\angle C\), the sum is \(180^\circ\).
-
which statement is not true of line p? it is a straight angle which mea…
It is a straight angle which measures \(360^\circ\).
-
manipulate the triangle so ∠a measures approximately 92°. manipulate th…
37 degrees
-
of interior angl ploring the interior angles of a triangle reset drag a…
First question (when \(m\angle C\) increases): It decreases. Second question (when \(m\angle C\) decreases): It increases.
-
match the side and angle measures of each triangle to its correct class…
- Angle measures \(26^\circ, 36^\circ, 118^\circ\), side lengths \(1.5\) in, \(2\) in, \(3\) in → obtuse scalene - Angle measures \(22^\circ, 68^\circ, 90^\circ\), side lengths \(…
-
select the correct answer from each drop - down menu. △abc goes through…
rotation 180° counterclockwise about the origin (followed by a translation, but the first drop-down answer is this)
-
drag the tiles to the boxes to form correct pairs. not all tiles will b…
- \(A'\) - \((1,1)\) - \(B'\) - \((2,-1)\) - \(C'\) - \((3,0)\) - \(D'\) - \((2,1)\)
-
type the correct answer in each box. use numerals instead of words. if …
The value of \(x\) is \(12\) and the value of \(y\) is \(10\).
-
match the pairs of figures to the transformations that can be used to f…
- Reflection: G and H - Translation: C and D - Rotation: A and B, J and I (Note: The exact dragging would place each pair in the respective column. For example, drag "A and B" to …
-
10) practice: using visual cues fill in the blanks to explain the midpo…
1. \((x_1,y_1)=\) first \(\boldsymbol{\text{point (or ordered pair)}}\) 2. \((x_2,y_2)=\) second \(\boldsymbol{\text{point (or ordered pair)}}\) 3. \(\frac{x_1 + x_2}{2}=\) \(\bol…
-
select the correct answer. which statement describes a reflection? a. a…
D. A reflection occurs when a point and its image are equidistant from a line on the opposite sides of the line and the line segment joining the two points is perpendicular to the…
-
select the correct answer from each drop - down menu. triangle abc, wit…
- The type of transformation that triangle ABC undergoes to form triangle A'B'C' is a **reflection across the x - axis**. - The type of transformation that triangle A'B'C' undergo…
-
which pair or pairs of polygons are congruent? a. 3 and 4 b. 1 and 3 c.…
C. 1, 3, and 4
-
which sentence explains why polygon abcdefgh is congruent to polygon mn…
B. A sequence of rigid transformations will map MNOPQRST onto ABCDEFGH.
-
drag the image to the correct location. triangle abc is rotated 90° cou…
The correct triangle is the middle - right one (the second triangle from the top on the right - hand side, with vertices \(F\), \(E\), \(D\) where \(F\) is on the left, \(E\) on t…
-
type the correct answer in each box. use numerals instead of words. if …
\((x - 8,y)\) (or in the boxed form as per the question's requirement for the first box \(x - 8\) and the second box \(y\)) So the first box should have \(x-8\) and the second box…
-
select the correct answer from each drop - down menu. quadrilateral abc…
The length of side AB of the original quadrilateral is 3 units. After the translation, the length of side AB will remain the same.
-
select the correct answer from each drop - down menu. quadrilateral abc…
3 (assuming the original length is 3, and since translation preserves length, the length after translation is also 3)
-
consider figures 1 through 4 on the coordinate plane. which two stateme…
- Figures 1 and 3 are not congruent because figure 1 cannot be mapped onto figure 3 using a sequence of rigid transformations. - Figures 1 and 4 are not congruent because figure 1…
-
complete the statements about the shapes in the graph. shape a is congr…
Shape A is congruent to shape D (wait, no, maybe E) – I think the correct answers are: First blank: D, translation 2 units. Second blank: F, translation 3 units. But I'm not sure.…
-
select the correct answer. which sequence of transformations performed …
D. a \( 180^\circ \) rotation about the origin and then a translation 18 units up and 2 units left
-
select the correct answer. triangle xyz, with vertices x(-1, 4), y(-1, …
B. \(X(1, - 4)\), \(Y(1, - 2)\), and \(Z(-1, - 2)\)
-
select the correct answer. in addition to the facts in the diagram, whi…
C. \(BC = EF\)
-
paige is a graphic designer who makes logos for companies. she makes a …
C. A''(-30, -12) and C''(-18, -24)
-
select the correct answer. a quadrilateral in the third quadrant is rot…
B. second quadrant
-
select the correct answer from each drop - down menu. quadrilateral uvw…
The coordinates of \(U'\) are \((-4,-5)\) and the coordinates of \(V'\) are \((-6,-2)\). For the first drop - down (for \(U'\)) the correct option is \((-4,-5)\). For the second d…
-
4. $x^2 - 12x - 28$ and $(x \\square \\square) (x \\diamond \\square)$
\((x - 14)(x + 2)\) (So the first square: \(-\), first rectangle: \(14\); the operation (diamond) is \(+\), second rectangle: \(2\))
-
tâche 3 : la compétition de cerfs-volants vous participerez à une compé…
Expert
-
has three congruent sides. has two congruent sides. has zero congruent …
The sum of the lengths of any two sides of a triangle is \(\boldsymbol{\text{greater}}\) than the length of the third side \((\text{side }1+\text{side }2)>\boldsymbol{\text{side }…
-
8) practice: organizing information complete the chart. write acute, ob…
(Problem 8): | Sorting Triangles by Angle Measures | | | |-------------------------------------|----------|----------| | **Acute** triangle | **Right** triangle | **Obtuse** trian…
-
find the amplitude of the sinusoidal function. simplify any fractions. …
1
-
• angle — is included between sides ab and ac. • angle — is included be…
### For the "REVIEW: Triangle Facts" blanks: - They are closed \(\boldsymbol{2}\) - dimensional figures. - They are formed by \(\boldsymbol{3}\) segments that connect \(\boldsymbo…
-
• angle — is included between sides ab and ac. • angle — is included be…
### For Question 5 (Naming the Triangle): Possible names: $\triangle EFD$, $\triangle EDF$, $\triangle FED$, $\triangle FDE$, $\triangle DEF$, $\triangle DFE$ ### For Question 6 (…
-
triangle parts - 3 sides: line ______ that connect vertices - 3 vertice…
- 3 sides: line \(\boldsymbol{\text{segments}}\) that connect vertices - 3 vertices: \(\boldsymbol{\text{points}}\) where two sides meet - 3 angles: pairs of intersecting \(\bolds…
-
similarity transformations is triangle abc a dilation of triangle abc? …
No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.
-
is rectangle efgh the result of a dilation of rectangle abcd with a cen…
Yes, because corresponding sides are parallel and have lengths in the ratio $\frac{4}{3}$. (The third option: "Yes, because corresponding sides are parallel and have lengths in th…
-
is rectangle efgh the result of a dilation of rectangle abcd with a cen…
# Explanation: ## Step1: Recall Dilation Properties Dilation preserves parallelism, and corresponding sides of dilated figures are parallel (same slope) and in proportion. Also, t…
-
which statements can be concluded from the diagram and used to prove th…
\(\boldsymbol{\frac{RS}{VU}=\frac{ST}{UT}\text{ and }\angle S\cong\angle U}\) (the first option)
-
$\\overline{wy}$ is an altitude in triangle $wxz$. if $\\triangle ywz \…
\( \angle XWZ \) is a right angle. (The option: \( \angle XWZ \) is a right angle.)
-
parallelogram fghj was dilated and translated to form similar parallelo…
4
-
triangle abc was dilated using the rule $d_{y, \\frac{5}{4}}$. if $ca =…
10 units (the option with "10 units")
-
the sides of a triangle have lengths 41, 39, and 28. what kind of trian…
acute
-
the sides of a triangle have lengths 13, 25, and 27. what kind of trian…
acute
-
the sides of a triangle have lengths 14, 39, and 42. what kind of trian…
obtuse
-
the sides of a triangle have lengths 6, 27, and 29. what kind of triang…
obtuse
-
the sides of a triangle have lengths 6, 15, and 15. what kind of triang…
acute (the triangle with sides 6,15,15 is an acute isoceles triangle)
-
the sides of a triangle have lengths 10, 15, and 17. what kind of trian…
acute
-
the sides of a triangle have lengths 3, 16, and 16. what kind of triang…
acute
-
find xy. triangle with right angle at z, angle at y is 50 degrees, side…
\( 7.8 \)
-
find the perimeter of △rvs for square qrst. the perimeter of △rvs is (t…
(Assuming side length of square is 10, the perimeter is) \( \boxed{24.1} \) (Note: This answer depends on the side length of the square. If the side length is different, recalcula…
-
find the perimeter of △rvs for square qrst the perimeter of △rvs is (ty…
\boxed{26.6} (assuming side length is 11; if the side was different, adjust, but based on the image's red label as 11, this is the result)
-
find the length of \\( \\overline{hk} \\) for square g h j k. the lengt…
\( 4.2 \) (assuming side length is 3; if the side length is different, adjust accordingly. But based on the diagram, likely side length 3, so diagonal is \( 3\sqrt{2} \approx 4.2 …
-
in the diagram, dg = 12, gf = 4, eh = 9, and hf = 3. to prove that $\\t…
\(\angle DFE\) is congruent to \(\angle GFH\) (the third option in the list of angle statements).
-
find the length of \\(\\overline{qv}\\) for square qrst. the length of …
\( 7.8 \)
-
triangle tvw is dilated according to the rule $d_{o, \\frac{3}{4}}(x, y…
T'(-3, 6) and V'(0, 3) (the last option: T'(-3, 6) and V'(0, 3))
-
consider the two triangles. to prove that the triangles are similar by …
The correct option is the second one: \(\boldsymbol{\frac{AC}{GI}=\frac{BC}{HI}}\) (the option with the formula \(\frac{AC}{GI}=\frac{BC}{HI}\))
-
state the domain and range of the graph in interval notation. what is t…
Domain: \([-10,5]\), Range: \([0,4]\) (assuming the peak is at y = 4). But wait, maybe the peak is at y = 4. So for domain, the correct interval notation is \([-10,5]\).
-
problem 11: spiral review this shape is made up of four rectangles. det…
66
-
which value of y would make \\(\\overline{op} \\parallel \\overline{ln}…
36
-
similarity transformations what is the value of x? 20 units 12 units 25…
12 units
-
reflections of shapes graph the image of the figures using the transfor…
For problem 5, the reflected points are \( T'(2, -2) \), \( C'(2, -5) \), \( Z'(5, -4) \), \( V'(5, 0) \). For problem 6, the reflected points are \( H'(-1, 1) \), \( M'(-1, 0) \)…
-
what is the length of \\(\\overline{ac}\\)? 12 ft 3 ft 4 ft 18 ft
12 ft (the first option with 12 ft)
-
triangle rst was dilated by a scale factor of \\(\\frac{1}{2}\\). the i…
16 units
-
problem 11: spiral review this shape is made up of four rectangles. det…
# Explanation: ## Step1: Analyze the shape's dimensions The horizontal length is 15 m, and we can find the vertical length by looking at the given 10 m and 8 m? Wait, actually, fo…
-
what is the value of y? 3√3 units 6√3 units 9√3 units 12√3 units (and t…
$6\sqrt{3}$ units
-
consider △rst and △ryx. if the triangles are similar, which must be tru…
$\boldsymbol{\frac{RY}{RS} = \frac{RX}{RT} = \frac{XY}{TS}}$ (the first option)
-
quadrilateral jklm was dilated according to the rule $d_{o, \\frac{1}{2…
\((0, - 4)\) (corresponding to the option \( (0, - 4) \))
-
which transformations could have occurred to map $\\triangle abc$ to $\…
a reflection and a dilation
-
$\\overline{qr}$, $\\overline{rs}$, and $\\overline{sq}$ are midsegment…
14.50 cm
-
which value of x would make \\(\\overline{tv} \\parallel \\overline{qs}…
10
-
to prove that $\\triangle aed \\sim \\triangle acb$ by sas, jose shows …
$\angle A\cong\angle A$ (the option with $\angle A\cong\angle A$)
-
what is the scale factor of the dilation of triangle def? 7 \\frac{7}{3…
\(\frac{3}{7}\)
-
question solve the inequality and graph the solution on the line provid…
Inequality Notation: \( x \leq -4 \) (For the number line graph, we would draw a closed circle at -4 and shade to the left of -4, indicating all values less than or equal to -4.)
-
question solve the inequality and graph the solution on the line provid…
Inequality Notation: \(x < 1\) For the number line: An open circle is placed at 1 (since the inequality is strict, \(x\) is not equal to 1) and an arrow is drawn to the left of 1 …
-
for the following right triangle, find the side length x. 20 21 x
29
-
lmnp is a rectangle. find the value of x and the length of each diagona…
9
-
lmnp is a rectangle. find the value of x and the length of each diagona…
9
-
question solve the inequality and graph the solution on the line provid…
Inequality Notation: \(x \leq -2\) For the number line: We place a closed circle at \(-2\) (since the inequality is "less than or equal to") and draw an arrow to the left to repre…
-
lmnp is a rectangle. find the value of x and the length of each diagona…
\( x = 2 \)
-
your answer is incorrect. for the following right triangle, find the si…
37
-
line rs intersects triangle bcd at two points and is parallel to segmen…
The correct statements are: - \( (BR)(SC)=(RD)(BS) \) - \( \triangle BCD \) is similar to \( \triangle BSR \) - \( \frac{BR}{RD}=\frac{BS}{SC} \)
-
what is the value of x? 20 units 24 units 15 units 12 units
20 units