Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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congruence is there a series of rigid transformations that could map \\…
Yes, \(\triangle QRS\) can be translated so that \(Q\) is mapped to \(A\) and then reflected across the line.
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could △jkl be congruent to △xyz? explain. no, because the leg of one tr…
Yes, if \( \overline{JL}\cong\overline{XZ}\)
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it was a bitter cold christmas eve in 1989. my sister rosalee and i wer…
C. frightened
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spiral review combine like terms. write the answer in correct standard …
1. degree \( = 3\), B (binomial as there are three terms after combining but wait no: \(-4ab^{2}+19a^{2}b - 5ab\) is a trinomial (T). 2. degree \(=4\), B (binomial: \(-3ab^{2}c + …
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calculate the area of the following shape given that: a = 5 b = 11 c = …
80
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it was a bitter cold christmas eve in 1989. my sister rosalee and i wer…
C. frightened
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compute the area of a circle with a diameter of 19 inches. you do not n…
283.4
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1. a scale drawing of an automobile has a scale of 3 inches = 1/4 foot.…
\(96\) inches
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triangle congruence line segments ad and be intersect at c, and triangl…
ASA
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4520va v geometry sem a geometry triangle congruence which congruence t…
ASA
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determine the area of the shape below. you only need to enter the final…
330
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the area of a triangle is 93 square feet. the base is four times the he…
\(6.8\)
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mark true or false for each statement. ① t when multiplying numbers in …
\((9.63\times10^{14})\div(3\times10^{8})\) and \((1.07\times10^{2})\cdot(3\times10^{4})\) and \(3.21\times10^{6}\) represent the same value.
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triangle def is congruent to △ghj by the sss theorem. which rigid trans…
reflection
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how can a translation and a reflection be used to map \\( \\triangle hj…
Translate \(K\) to \(N\) and reflect across the line containing \(JK\).
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angle congruence which congruence theorem can be used to prove (\triang…
SAS
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compute the circumference of a circle with a diameter of 62 inches. you…
194.7
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triangle congruence in the diagram, \\( \\angle j \\cong \\angle m \\) …
\(JK\cong MN\)
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the length of a rectangle is 3 times the width, and the rectangle has a…
\( 62.3 \) (rounded to the nearest tenth)
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a=8 yards b=16 yards c=12 yards you only need to enter the final answer…
36
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the perimeter of a triangle is 71 feet. one side is 11 feet longer than…
\(32.7\)
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e congruence could △abc be congruent to △adc by sss? explain. no, becau…
Yes, but only if \(\overline{BC}\cong\overline{DC}\).
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what is the perimeter in yards of a triangle with one leg measuring 9 y…
20
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which rigid transformation would map △abc to △abv? a rotation about poi…
a reflection across the line containing \(\overline{BA}\)
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the perimeter of a window shaped as an isosceles triangle is 78 inches,…
\(30.7\)
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congruence which best explains whether or not triangles rst and acb are…
The figures are congruent. \(\triangle RST\) can be mapped to \(\triangle ACB\) by a reflection over the \(y\)-axis and a translation 2 units down.
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what is the perimeter in feet of this rectangle if a side measures 11 f…
82
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5.6 ps - 15 the width of a rectangle is ( 7n - 4.5 ) feet and the lengt…
\(23n + 9\)
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the congruence theorem that can be used to prove \\( \\triangle bae \\c…
SAS.
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which congruence theorem can be used to prove △bda ≅ △dbc sss aas sas hl
HL
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what is the perimeter of a triangle with side lengths of 11 meters, 15 …
44
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what is the perimeter of a rectangle measuring 47 inches by 78 inches? …
250
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design an art class is making a mural for their school which has a tria…
\(6x + 11\)
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how can △abc be mapped to △xyz? first, translate ______________. next, …
vertex \(A\) to vertex \(Y\)
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circle the number with the greater value. 1. $(1.4×10^{5})·(3.1×10^{3})…
1. Circle \((1.4\times10^{5})\cdot(3.1\times10^{3})\) 2. Circle \((4.5\times10^{8})\div(2.5\times10^{3})\) 3. Circle \(b\)
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the following formula is used for rectangle perimeter calculations. 2l …
\( L=(P\div2)-W \)
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(a) find the following side lengths for the net. a = 9 yd b = 2 yd c = …
\(146\)
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what is the perimeter in feet of this square (note that you do not need…
8
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determine the line of reflection that maps the pre - image segment ab t…
\(x = 0\)
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what is the perimeter in yards of a rectangle with a length of 14 yards…
52
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using a net to find the surface area of a rectangular prism (a) find th…
\(A = 9\) yd, \(B = 2\) yd, \(C = 5\) yd, \(D = 2\) yd
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determine the line of reflection that maps the pre - image segment ab t…
\(x = 0\)
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the circle shown below is centered at (0, 0) and passes through point p…
A. \((2,3)\)
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using the sss congruence theorem which of the following pairs of values…
\(x = 3,y = 11\)
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given that (overrightarrow{eb}) bisects (angle cea), which statements m…
\(\angle CEF\) is a straight angle, \(\angle AEF\) is a right angle.
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the actual lengths of the garden are shown in the table. choose an equi…
\(1\) in. to \(4\) ft.
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(a) find the following side lengths for the net. a = mm b = mm c = mm d…
(a) \(A = 17\) mm, \(B = 3\) mm, \(C = 8\) mm, \(D = 15\) mm (b) \(240\) \(mm^{2}\)
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guided example 6: write a similarity transformation that maps \\( \\tri…
A similarity transformation is a rotation of \(180^{\circ}\) about the origin followed by a dilation with a scale factor of \(\frac{1}{2}\).
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(a) find the following side lengths for the net. a = ft b = ft c = ft d…
(a) \(A = 4\) ft, \(B = 6\) ft, \(C = 3\) ft, \(D = 5\) ft (b) \(84\) square feet
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a construction crew is lengthening a road. the crew is adding 6 miles t…
The solution of the inequality \(6x + 58>142\) is \(x>14\). On the number - line, there is an open circle at 14 and an arrow pointing to the right.
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joe has a tree in his backyard. the tree grows 35 centimeters each year…
The solution of the inequality \(35x-22\geq258\) is \(x\geq8\). On the number - line, there is a closed circle at \(8\) and a line extending to the right from \(8\).
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classify the four angles of the quadrilateral.
- \(\angle A\): Acute - \(\angle B\): Obtuse - \(\angle C\): Acute - \(\angle D\): Right
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classify the four angles of the quadrilateral.
| |Right|Acute|Obtuse| |---|---|---|---| |\(\angle A\)|O||| |\(\angle B\)|||O| |\(\angle C\)||O| | |\(\angle D\)|||O|
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nessa proved that these triangles are congruent using asa. roberto prov…
\(\angle A\cong\angle Q\) because of the third angle theorem.
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figure crow is similar to figure lynx. identify corresponding parts of …
∠R corresponds to \( \angle Y\) ∠W corresponds to \( \angle X\) \(\overline{CW}\) corresponds to \( \overline{LX}\) \(\overline{RO}\) corresponds to \( \overline{YN}\)
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the proof that △rst ≅ △vst is shown. given: st is the perpendicular bis…
perpendicular bisector theorem
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name period date simple vs. compound read each sentence, then decide if…
1. Simple 2. Compound 3. Compound 4. Simple 5. Simple 6. Simple 7. Compound 8. Simple 9. Compound 10. Compound 11. Simple 12. Compound 13. Compound 14. Simple 15. Simple
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4 given the diagram below, where lines a and b are parallel, which of t…
A. The angles with measures \(25x + 80\) and \(48 + x\) are supplementary. D. Each of the obtuse angles in the diagram measures \(130\) degrees.
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the location of london as an ordered pair $(x,y)$.
\((x,y)=(-6,8)\)
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what conditions would be enough to prove that ( p ) is the circumcenter…
A. \(L\), \(M\), and \(N\) are the midpoints of \(\overline{HK}\), \(\overline{HJ}\) and \(\overline{KJ}\) C. \(\overline{PK}\cong\overline{HP}\cong\overline{PJ}\)
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5. ∠ehb ≅ ∠ckf 6. ∠ckf ≅ ∠hkd 7. ∠hkd ≅ ∠ehb 5. corresponding angles ar…
5. Corresponding angles are congruent. 6. Transitive property of congruence.
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what are the coordinates of the circumcenter of \\( \\triangle abc \\)?…
\((-1,-1)\)
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what are the coordinates of the circumcenter of \\( \\triangle abc \\)?…
\((-1,-4)\)
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what is the length of the hypotenuse? if necessary, round to the neares…
\(8.1\)
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1 m∠c = 72° given try m∠cde = 54° select a reason select a reason verti…
Sum of angles in a triangle
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complete the proof. 1. ( overleftrightarrow{ab} parallel overleftrighta…
1. Given 3. Alternate - interior angles theorem 4. Vertical angles theorem 5. Vertical angles theorem 6. Transitive property of congruence
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what is the length of the hypotenuse? if necessary, round to the neares…
\(80\)
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what is the length of the hypotenuse? if necessary, round to the neares…
\(30\)
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a carpenter is designing a side table. the horizontal portions of the t…
\(m\angle1 = 80^{\circ}\), \(m\angle2=78^{\circ}\)
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what is the length of the hypotenuse? if necessary, round to the neares…
\(17\)
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what is the length of the hypotenuse? if necessary, round to the neares…
\(5\)
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find the value of the variables in the given figure. $y = square$ $x = …
\(x = 6,y = 16\)
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what is the length of the hypotenuse? if necessary, round to the neares…
\(10\)
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what is the length of the hypotenuse? if necessary, round to the neares…
\(20\)
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find the measure of angles a, b, c, and d.15°17°part 1 of 4m∠a=12°
\(m\angle a = 32^{\circ}\), \(m\angle b=32^{\circ}\), \(m\angle c = 15^{\circ}\), \(m\angle d=17^{\circ}\)
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solve the inequality and graph the solution. f + 11 ≤ 19 to draw a ray,…
The solution of the inequality \( f + 11\leq19 \) is \( f\leq8 \). On the number line, there is a closed circle at \( 8 \) and a ray extending to the left.
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find the measure of angles a, b, c, and d. progress: 0/4 part 1 of 4 m∠…
\(m\angle a = 32^{\circ}\), \(m\angle b = 32^{\circ}\), \(m\angle c = 17^{\circ}\), \(m\angle d = 15^{\circ}\)
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find the measure of angles a, b, c, and d. progress: 0/4 part 1 of 4 m∠…
\(32\)
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solve the inequality and graph the solution. 8 ≥ 4w to draw a ray, plot…
The solution of the inequality \(8\geq4w\) is \(w\leq2\). On the number - line, there is a closed circle at \(2\) and an arrow pointing to the left.
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find the measure of angles a, b, c, and d. progress: 0/4 part 1 of 4 m∠…
\(32\)
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find the y - intercept and the x - intercept of the line below. click o…
(a) \(y\)-intercept: None (b) \(x\)-intercept: \(1\)
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which statement about the figure must be true? select all that apply. a…
D. \(QR = 54\)
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c(0,4) d(3,2) e(-2,1) f(-4,-2) solve for cd and ef, then determine if t…
3. \(CD = \sqrt{13},EF=\sqrt{13}\). The segments are congruent.
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use the diagram to name the included angle between the given pair of si…
1. \(\angle GHI\) (but if we follow the given option - matching, there is no \(\angle GHI\) in the left - hand options. Maybe there is a mis - labeling in the problem. If we assum…
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in the figure below, ( mangle1 = 83^{circ} ). find ( mangle2 ).
\( 97 \)
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in \\( \\triangle a b c \\), side \\( \\overline{b c} \\) is extended t…
3. \(\overline{AB}\)
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if two sides of a triangle have lengths of 2 and 7, the length of the t…
2. \(8\)
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graph. x > -13 to draw a ray, plot an endpoint and select an arrow. sel…
Plot an open circle at \(-13\) on the number - line and draw a ray extending to the right from that open circle.
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as shown below, the medians of \\( \\triangle abc \\) intersect at \\( …
\(8\)
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use the diagram to name the included angle between the given pair of si…
1. \( \angle GHI \) 2. \( \angle HIG \) 3. \( \angle IGH \)
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the last step in a proof contains the conclusion given information assu…
conclusion
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if ( mangle1 = 7x - 36 ) and ( mangle2 = 5x + 12 ), for which value of …
1. \(17\)
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state the third congruence that must be given to prove that \\( \\trian…
\(AB\cong DE\)
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what is the length of a line segment whose endpoints have coordinates (…
1. \(5\)
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step angle reason 1 $m\\angle adb = 98^{circ}$ given 2 $m\\angle b = 45…
Sum of angles in a triangle
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in the figure below, ( m angle 2 = 31 ^ { circ } ). find ( m angle 1 ).…
$59$
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in \\( \\triangle abc, ab = 4, bc = 7 \\), and \\( ac = 10 \\). which s…
2. \(m\angle B>m\angle A>m\angle C\)
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planes x and y are perpendicular. points a, e, f, and g are points only…
\(\overrightarrow{EA}\), \(\overrightarrow{FG}\)
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as shown in the diagram below of \\( \\triangle abc, \\overline{bc} \\)…
4. \(AC\lt AB\)
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in the diagram, ce = 12 units and be = 5 units. based on the given info…
12 units