Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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point a is the image of point a under a rotation about point p. determi…
A. 90° clockwise, B. 90° counterclockwise
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16. if m∠ecd = 8x - 1 and m∠dcb = 7x - 14 find each value. x = m∠ecd = …
$x = 13$ $m\angle ECD=103^{\circ}$ $m\angle DCB=77^{\circ}$
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symmetry: x - axis y - axis origin none of these
origin
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select the statement that is the contrapositive of the following statem…
If a ray isn't an angle bisector, then it doesn't cut an angle into two smaller, congruent angles.
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question 9 of 10 (1 point) | question a symmetry: □x - axis □y - axis □…
x - axis, y - axis, origin
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select the statement that is the converse of the following statement: i…
If two angles are complementary, then their measures add up to 90°.
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solve for x and graph the solution on the number line below. -2 ≤ 2x an…
Inequality Notation: $x\geq - 1$ Number Line: Plot a closed - circle at - 1 and draw a line to the right.
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write equations for the vertical and horizontal lines passing through t…
vertical line: $x=-4$ horizontal line: $y = 0$
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what is the slope of this line? simplify your answer and write it as a …
$-\frac{3}{2}$
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what is the slope of this line?
$\frac{3}{2}$
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what combination of transformations is shown below? reflection, then tr…
reflection, then translation
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solve for $x$ and graph the solution on the number line below. $1>\frac…
Inequality Notation: $x < 5$ Number Line: Plot an open - circle at 5 and draw an arrow to the left.
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problems 5 - 6: ivory created a scaled copy of rectangle a. the area of…
5. 24 times 6. $2\sqrt{6}$
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what combination of transformations is shown below? reflection, then tr…
reflection, then translation
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6. canyon just bought a big screen tv. the screen has a diagonal measur…
24 inches
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what combination of transformations is shown below? rotation, then tran…
rotation, then translation
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what combination of transformations is shown below?
rotation, then translation
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simplify your answer and write it as a proper fraction, improper fracti…
$\frac{5}{4}$
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write an equation of the circle with center (8, - 3) and radius 4.
$(x - 8)^2+(y + 3)^2=16$
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what is the area? 15.3 m 18 m square meters
$275.4$
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what is the missing length? area = 20 cm² t = centimeters
4
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find the midpoint m of the line segment joining the points a = (1, - 8)…
$(3,-5)$
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a parallelogram has an area of 60 square centimeters and a base of 10 c…
6
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why did the cow want a divorce? graph each equation below. the graph, i…
The answer depends on the specific graphing and letter - finding process based on the above steps. Without actually graphing each equation one - by - one and finding the correspon…
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4) graph the image of △fga after a reflection over the line y = x.
Plot the points $F'(3,-6)$, $G'(3,1)$ and $H'(9,-2)$ and connect them to get the image of $\triangle FGH$ after reflection over the line $y = x$.
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solve for $x$ and graph the solution on the number line below. $-10x > …
Inequality Notation: $x < - 8$ Number Line: Plot an open - circle at - 8 and draw an arrow to the left.
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an isosceles triangle has an angle that measures 106°. what measures ar…
37°
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a right triangle has one angle that measures 20°. what is the measure o…
70
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the point b is a reflection of point a across which axis? choose 1 answ…
The x - axis
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one angle of an isosceles triangle measures 46°. what measures are poss…
A. $67^{\circ}$, C. $46^{\circ}$, D. $88^{\circ}$
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write an equation of the circle with center (-2, 4) and diameter 8.
$(x + 2)^2+(y - 4)^2=16$
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one angle of an isosceles triangle measures 120°. what measures are pos…
A. $30^{\circ}$
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22. what is the image of (-7, -9) after a reflection over the x - axis?…
22. $(-7,9)$ 23. $(2,4)$
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a right triangle has one angle that measures 50°. what is the measure o…
40
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one angle of an isosceles triangle measures 140°. what measures are pos…
20°
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vocab and key ideas midpoint of a segment the of a segment is a point t…
In the diagram to the left, B is the midpoint of AC. A line, ray, or segment that intersects a segment at its midpoint and divides the segment is called the bisector of the segmen…
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find the coordinates of the vertices of the polygon after the given tra…
| Original Point | Translated Point | | ---- | ---- | | $(-3,6)$ | $(3,3)$ | | $(-5,3)$ | $(1,0)$ | | $(-1,3)$ | $(5,0)$ | | $(-3,0)$ | $(3,-3)$ |
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an isosceles triangle has an angle that measures 110°. what measures ar…
B. 35°
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one angle of a right triangle measures 10°. what is the measure of the …
80
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a triangle has interior angle measures of 51°, 66°, and w. what is the …
63
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midpoint of a segment the midpoint of a segment is a point that divides…
The mid - point of a segment is a point that divides the segment into 2 equal parts. A line, ray, or segment that intersects a segment at its mid - point is called the bisector of…
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a triangle has interior angle measures of z, 92°, and 48°. what is the …
$40$
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a triangle has interior angle measures of c, 42°, and 64°. what is the …
$74$
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a triangle has interior angle measures of 102°, s, and 35°. what is the…
43
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midpoint of a segment the mid - point: a mid - point of a segment is a …
1. Point B; segment AC 2. bisector; segment
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rectangle abcd is graphed in the coordinate plane. the following are th…
21
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the diagram shows a triangle. what is the value of c? c =
64
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the midpoint of a segment is a point that divides the segment into a li…
The midpoint of a segment is a point that divides the segment into two congruent parts. A line, ray, or segment that intersects a segment at its midpoint is said to bisect the seg…
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what additional information is needed to prove that the triangles are c…
∠N≅∠M
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what additional information is needed to prove that the triangles are c…
C. $\angle N\cong\angle M$
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what additional information could be used to prove that the triangles a…
$\angle A\cong\angle T$ and $AC = TQ = 3.2$cm, $\angle A\cong\angle T$ and $\angle B\cong\angle P$, $\angle A\cong\angle T$ and $\overline{BC}\cong\overline{PQ}$
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which rigid transformation would map △mzk to △qzk? a rotation about poi…
a reflection across the line containing $\overline{ZK}$
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write the ordered - pair for the point r. the coordinates of point r ar…
(0, 5)
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what additional information could be used to prove that the triangles a…
B. \(\overline{CB}\cong\overline{QM}\), E. \(AB = 2.5\text{cm}\) and \(MQ = 2.5\text{cm}\)
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1. without using your calculator, evaluate each of the following given …
1. - (a) $f(-4)=-5,f(2)=13$ - (b) $g(2)=12,g(-3)=27$ - (c) $h(41)=6,h(14)=3$ 2. - (a) $f(-5)=-7,f(0)=-\frac{1}{2}$ - (b) $g(4)=\frac{3}{4},g(-3)=-\frac{4}{3}$ - (c) $h(3)=51.84,h(…
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given: ∠abc and ∠fgh are right angles; ba||gf; bc≅gh prove: △abc≅△fgh s…
AAS congruence theorem.
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16. point h is located at (-5, -4) on the coordinate plane. point h is …
16. $(5,-4)$ 17. $(-6,6)$
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15. if $mangle ecb = 125^{circ}$, $mangle ecd = 2x - 2$, and $mangle dc…
$x = 21$ $m\angle ECD=40^{\circ}$ $m\angle DCB=85^{\circ}$
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28. mathematical connections write an expression for the length of the …
a. $8x - 1$ b. $5y + 20$
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a side of the triangle below has been extended to form an exterior angl…
$112$
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symmetry: □x - axis □y - axis □origin □none of these
x - axis, y - axis, origin
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a side of the triangle below has been extended to form an exterior angl…
\(20\)
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graph 2 symmetry: □x - axis □y - axis □origin □none of these
none of these
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a side of the triangle below has been extended to form an exterior angl…
\(112\)
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a side of the triangle below has been extended to form an exterior angl…
$36$
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graph 1 symmetry: □x - axis □y - axis □origin
origin
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analyzing congruence criteria are the triangles congruent? if so, how d…
not enough information given
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3 is there a rigid transformation taking rectangle a to rectangle b? ex…
No, because rigid transformations preserve side - length ratios and a rectangle and a square have different side - length ratios.
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a side of the triangle below has been extended to form an exterior angl…
$23$
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congruence criteria are the triangles congruent? if so, how do you know…
not enough information given
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in the given picture, if mt ⊥ rv, and xs ⊥ xe, identify each pair of an…
10. Vertical 11. Adjacent, Complementary 12. Adjacent, Complementary 13. Adjacent, Supplementary, Linear - pair 14. Adjacent
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during geometry class, students are told that $delta tsrcongdelta usv$.…
Sam is correct.
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a side of the triangle below has been extended to form an exterior angl…
\(x = 63^{\circ}\)
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an airplane flies from city a in a straight line to city b, which is 11…
198 km 514.15 billion
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during geometry class, students are told that δtsr ≅ δusv. marcus state…
Sam is correct.
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plot the point (- 5,-1 1/2) plot the ordered pair
The point \((-5,-1\frac{1}{2})\) is plotted on the coordinate - plane following the above steps.
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analyzing diagrams can you conclude that triangle ghf is congruent to t…
not enough information given
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a side of the triangle below has been extended to form an exterior angl…
\(21\)
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what additional information could be used to prove that δxyz ≅ δfeg usi…
B. $\angle Z\cong\angle G$ and $\angle Y\cong\angle E$ E. $\angle Z\cong\angle G$ and $\overline{XY}\cong\overline{FE}$
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plot the point (-4.5,2.5)
The point (-4.5, 2.9) is plotted on the coordinate plane by moving 4.5 units left on the x - axis and 2.9 units up on the y - axis from the origin.
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(-15.2, 12.2), (5.8, 4.4) (a) plot the points. (b) find the distance be…
(b) $22.4$ (c) $(-4.7,8.3)$
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nate wants to visit his friend mac before going to the park. nates hous…
$(4,5)$
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9. the endpoints of $overline{cd}$ are $c(1, - 6)$ and $d(7,5)$. find t…
$(4,-0.5)$
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a side of the triangle below has been extended to form an exterior angl…
$x = 48$
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sai is rearranging his furniture. he wants his couch to sit along the 2…
A. 6 ft 8 in.
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recall that the sum of all of the angles of a triangle is 180° regardle…
(a) $\angle A$ and $\angle B$ (b) $68^{\circ}$ 6. (4) $122^{\circ}$ 7. $100^{\circ}$ 8. (2) $AC = AD$. Explanation: A point on the perpendicular bisector of a line - segment is eq…
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11. the point n is plotted on the coordinate grid below. plot the point…
Coordinates of M: $(5,-5)$ Coordinates of $M'$: $(5,5)$ When a point is reflected over the x - axis, the y - coordinate changes sign.
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in exercises 3 - 6, use a ruler to measure the length of the segment to…
For exercises 3 - 6: The length of each segment (you need to measure with a ruler). For exercises 7 and 8: A copy of the respective segments can be constructed using the compass a…
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10.(new)two lines intersect. if one angle is 70°, what is it’s vertical…
$70^{\circ}$
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find each measure. 1. fg find the length of $overline{ab}$. 3. a 2. tu …
1. \(FG = 28\) 2. \(TU = 60\) 3. The length of \(\overline{AB}=26\) 4. Assuming relevant length calculation using \(6x + 11\) with \(x = 4\), the length is \(35\)
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fill in the blank so that the resulting statement is true. if two non -…
the same
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(g) 8x - 36 2x+30
$x = 11$
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write equations for the horizontal and vertical lines passing through t…
horizontal line: $y = 7$ vertical line: $x=-7$
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(f) x + 27 8x
$x = \frac{27}{7}$
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rectangle ijkl is reflected across the y - axis to produce rectangle ij…
$(x,y)\to(-x,y)$
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hexagon cdefgh is reflected across the x - axis to produce hexagon cdef…
$(x, - y)$
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ab is rotated 270° counterclockwise about the origin to produce ab. wri…
$(y, - x)$
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op is rotated 180° clockwise about the origin to produce op. write the …
(-x, -y)
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square bcde is rotated 270° clockwise about the origin to produce squar…
$(y, - x)$
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pentagon fghij is reflected across the y - axis to produce pentagon fgh…
$(x,y)\to(-x,y)$