几何
三角形、圆、解析几何与证明题。
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what is the area of this figure? 3 mi 9 mi 7 mi 9 mi 2 mi 12 mi square …
45
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mr. anderson is building a triangular - shaped roof for his shed. the t…
\(x>7\) feet
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under which angle conditions could a triangle exist? check all that app…
- 3 acute angles - 2 acute angles, 1 right angle - 2 acute angles, 1 obtuse angle
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which point on the y - axis lies on the line that passes through point …
\((2,0)\)
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how are lines kl and mn related? the lines intersect at point k. the li…
The lines are perpendicular.
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given: abc is a triangle. prove: bc + ac > ba in triangle abc, we can d…
1. \(CE\) 2. \(AE\) 3. segment addition postulate
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line wv is perpendicular to both line rs and line tu. which statement m…
Line TU is parallel to line RS.
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which point on the x - axis lies on the line that passes through point …
\((1,0)\)
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find the exact length of the missing side of the right triangle.
\(4\sqrt{3}\)
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find the exact length of the missing side of the right triangle.
\(2\sqrt{6}\)
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find the length of the missing side of the right triangle.
\(36\)
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find the exact length of the missing side of the right triangle.
\(2\sqrt{10}\)
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consider this right triangle. find the exact length of the missing side.
\(17\)
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lines rs, tv, and sw are shown. which statements are true about these l…
B. Line SW has an undefined slope. C. Line TV has a slope of 0. D. Lines RS and TV are parallel.
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find the length of the missing side of the right triangle.
\(p = 12\)
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consider this right triangle. find the exact length of the missing side.
\(4\sqrt{5}\)
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proving the slope criteria the slope of \\( \\overrightarrow { p q } \\…
The slope of \(\overrightarrow{PQ}\) is \((v - z)\) divided by \(w - x\). The slope of \(\overrightarrow{P'Q'}\) is \((v - z)\) divided by \((w + a)-(x + a)\). Both lines have a s…
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state the triangle congruence theorem that proves the triangles congrue…
AAS
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find the exact length of the missing side of the right triangle.
\(2\sqrt{13}\)
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find the exact length of the missing side of the right triangle.
\(2\sqrt{13}\)
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consider this right triangle. find the exact length of the missing side.
\(20\)
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question state the triangle congruence theorem that proves the triangle…
not congruent
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consider this right triangle. find the exact length of the missing side.
\(\sqrt{73}\)
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is the following triangle a right triangle? yes no
Yes
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consider this right triangle. find the exact length of the missing side.
\(\sqrt{58}\)
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5 the circle above is cut into equal shares. which word describes each …
A. half
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identifying a point on perpendicular lines which point could be on the …
# Explanation: ## Step1: Find the slope of line \( \overleftrightarrow{MN} \) Let \( M(2,3) \) and \( N(-3,2) \). The slope formula is \( m=\frac{y_2 - y_1}{x_2 - x_1} \). \( m_{M…
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the squares shown above have the same size whole what is true about the…
D. The squares are each cut into four equal shares, but the squares are each cut into different shapes
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find ( mangle r ). if ( \triangle pqrcong\triangle stu ),
\(74^{\circ}\)
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question find the value of y.
\(y = 70\)
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which coordinate for points a and b would help prove that lines ab and …
A': \((p,m)\) and B': \((z,-w)\) (the second option)
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find ( mangle r ). ( \triangle abc ) is congruent to ( \triangle rqp ).
\(m\angle R = 75^{\circ}\)
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the circle above is cut into equal shares. which of these describes the…
A. four fourths
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find the length of nm. △mln is congruent to △yzx.
\(2\)
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the two rectangles above are the same size. what is true about the rect…
B. The rectangles are each cut into three equal shares, but the rectangles are each cut into different shapes
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find the value of x. given (\triangle uvwcong\triangle tsr), find the v…
\(x = 5\)
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what is the slope of line pq? what is the slope of line mn? how are the…
Slope of line PQ: \(0\) Slope of line MN: Undefined Relationship: Perpendicular
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1. below are two triangles that have 2 pairs of corresponding angles co…
First, translate \(\triangle ABC\) so that \(A\) maps to \(X\). Then, rotate the translated \(\triangle ABC\) around \(X\) so that it coincides with \(\triangle XYZ\).
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18) sas a) additional known statement: reason: b) information still nee…
a) Additional Known Statement: \(\angle DBR=\angle TRS\). Reason: Vertical angles are congruent. b) Information still needed: Another pair of sides (either \(DB = RT\) and \(BR=RS…
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11/7 - isosceles and equilateral practice find the value of x and y. 11…
\(x = 5\) \(y = 10\)
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11/7 - isosceles and equilateral practice determine the value of x and …
\(x = 4.5\), \(y = 60\)
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11/7 - isosceles and equilateral practice possible points: 0.8 △def is …
21
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11/7 - isosceles and equilateral practice possible pc jh =
\(50\)
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drawing shapes 1 draw 14 △. circle ten. write the number three ways. __…
1. \(10 + 4\), \(1\) ten \(4\) ones, \(14\) 2. \(10+1\), \(1\) ten \(1\) one, \(11\) 3. (Taking 15 as an example) \(10 + 5\), \(1\) ten \(5\) ones, \(15\)
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16) sss a) additional known statement: reason: b) information still nee…
a) Additional Known Statement: \(EG = WY\); Reason: For SSS (Side - Side - Side) congruence of triangles, all three pairs of corresponding sides must be equal. b) Information stil…
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11/7 - isosceles and equilateral practice use the diagram to find the r…
The value of \(x\) is \(32.5\). The \(m\angle A\) and \(m\angle C\) are \(65\) degrees.
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11/7 - isosceles and equilateral practice use the diagram to find the r…
The value of \(y\) is \(3\). The value of \(x\) is \(6\). \(m\angle P\) is \(60\) degrees.
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11/7 - isosceles and equilateral practice use the diagram to solve for …
The value of \( y \) is \( 8 \), the value of \( x \) is \( 22.5 \), and \( m\angle E = 90 \) degrees.
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14) sss to prove the \\( \\delta \\cong \\) by sas a) additional known …
a) Additional Known Statement: \(RT = XZ\); Reason: SSS (Side - Side - Side) congruence criterion requires three pairs of equal sides. b) Information still needed: \(RT = XZ\)
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11/7 - isosceles and equilateral practice possible points: 1.6 given: a…
\(q = 21\), \(r = 42\), \(s = 42\), \(t = 63\)
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11/7 - isosceles and equilateral practice possible points: 0.8 given ( …
63
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what is the measure of ∠k? m∠k = 6 7 8 9 10 11 12 13 14 15
\(62\)
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11/7 - isosceles and equilateral practice an equilateral triangle and a…
\(119.5\)
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11/7 - isosceles and equilateral practice find the values of x and y. 1…
\(x = 35\), \(y = 2\)
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11/7 - isosceles and equilateral practice possible points: 0.8 the leng…
\(x = 7\)
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11/7 - isosceles and equilateral practice 7 of 20 possible points: 0.8 …
\(62\)
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12) sas a) additional known statement: reason: b) information still nee…
a) Additional Known Statement: \(\angle L=\angle G\); Reason: SAS criterion requires included angle between two pairs of congruent sides. b) Information still needed: The measure …
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11/7 - isosceles and equilateral practice 6 of 2 possible points: 0.8 f…
\(m\angle B = 66\) degrees \(m\angle C = 48\) degrees
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amaya is asked to find the side lengths of the triangle shown. what is …
For an isosceles triangle, a leg is congruent to the other leg. A leg is not necessarily congruent to the base. The correct solution found by solving the equation \(2x=3x - 5\) is…
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11/7 - isosceles and equilateral practice find the value of x. 6 x x= 1…
\(6\)
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11/7 - isosceles and equilateral practice possible points: 0.8 find the…
\(x = 30\)
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determine if each triangle is scalene, isosceles, or equilateral.
Isosceles, Equilateral, Isosceles, Scalene, Scalene, Equilateral, Scalene, Scalene, Isosceles
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use the isosceles triangle diagram below to complete the statements: th…
The little red tick marks are called **congruence marks**. Side \(AC\) is congruent to \(BC\). Angle \(A\) is congruent to \(\angle B\).
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17) sas a) additional known statement: reason: b) information still nee…
a) Additional Known Statement: \(\angle EFG=\angle QFG\); Reason: Included angle for SAS congruence. b) Information still needed: (If we assume a wrong initial side - angle pairin…
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15) sas a) additional known statement: reason: b) information still nee…
a) Additional Known Statement: \(VU = ZY\) Reason: To satisfy one of the side conditions for the SAS congruence criterion (already having the right - angle as the included angle a…
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a) additional known statement: reason: b) information still needed: to …
a) Additional Known Statement: \(XZ = XZ\); Reason: Reflexive property of equality. b) Information still needed: \(DZ = YZ\)
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3. given: \\( \\overline { e g } \\) is the perpendicular bisector of \…
1. \( \overline{EG} \) is the perpendicular bisector of \( \overline{FH} \) 2. \( \overline{FG}\cong\overline{HG} \) 3. Reflexive property of congruence 4. \( \angle EGF=\angle EG…
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11/14 - triangle congruence schoology assignment let \\( \\triangle a b…
\(126^{\circ}\)
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2. given: ( overline{lm} cong overline{no} ), and ( angle m cong angle …
| Statements | Justifications | |--|--| | 1. \( \overline{LM}\cong\overline{NO}\) | 1. Given | | 2. \( \angle M\cong\angle O\) | 2. Given | | 3. \( \angle LPM\cong\angle NPO\) | 3…
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find each missing length to the nearest tenth. 7) 8) 9) 10) 11) 12)
7) \(6.9\); 8) \(5.2\); 9) \(7.1\); 10) \(7.6\); 11) \(6.7\); 12) \(5.7\)
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11/14 - triangle congruence schoology assignment possible points: 1.44 …
Corresponding sides are congruent. Corresponding angles are congruent.
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11/14 - triangle congruence schoology assignment if ( a b c d cong e f …
Yes. Because \(ABCD\cong EFGH\), there exists a sequence of rigid motions that maps \(ABCD\) to \(EFGH\). Since rigid motions preserve side lengths, corresponding sides are congru…
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question given: \\( \\overline { a b } \\cong \\overline { a d } \\) an…
\(\triangle BAE\cong\triangle DAE\) by the Hypotenuse - Leg (\(HL\)) congruence criterion.
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11/14 - triangle congruence schoology assignment write a proof. given: …
2. Vertical angles are congruent; 3. AAS (Angle - Angle - Side); 4. Corresponding parts of congruent triangles are congruent
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11/14 - triangle congruence schoology assignment possible points: 0.58 …
C. \(\overline{KL}\cong\overline{OM}\), D. \(\overline{JK}\cong\overline{NO}\)
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11/14 - triangle congruence schoology assignment possible points: 2.02 …
| Statements | Reasons | |--|--| | 1. \(\angle BAC\cong\angle EDC\), \(\angle ABC\cong\angle EDC\), \(\overline{BC}\cong\overline{DC}\) | 1. Given | | 2. \(\triangle ABC\cong\tria…
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11/14 - triangle congruence schoology assignment possible points: 1.15 …
2. Alternate Interior Angles Theorem; 4. Alternate Interior Angles Theorem; 5. Reflexive Property of Congruence; 6. ASA (Angle - Side - Angle) Congruence Theorem.
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11/14 - triangle congruence schoology assignment your friend asks you f…
A. The ASA Postulate cannot be used to prove the congruence of the two triangles as shown because the included sides between the two pairs of congruent angles are not marked as co…
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11/14 - triangle congruence schoology assignment possible points: 0.58 …
C. The two triangles are not necessarily congruent. There is not enough information.
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11/14 - triangle congruence schoology assignment is △pqr ≅ △psr? explai…
A. Yes, \(\overline{PQ}\cong\overline{PS}\), \(\overline{PR}\cong\overline{PR}\), and \(\angle QPR\cong\angle SPR\). Thus, \(\triangle PQR\cong\triangle PSR\) by SAS.
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11/14 - triangle congruence schoology assignment would you use sss or s…
A. \(\triangle FJG\cong\triangle HIG\), SSS
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11/14 - triangle congruence schoology assignment possible points: 0.58 …
A. \(\overline{GT}\cong\overline{NQ}\) is needed because the congruent angles need to be included between two corresponding congruent sides.
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find the value of each variable. the dot represents the center of the c…
\(c = 43\)
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given: parallelogram abcd prove: consecutive interior angles are supple…
| Statements | Reasons | |---|---| | 1. \(AB\parallel CD\), \(AD\parallel BC\) | Definition of parallelogram | | 2. Let \(BD\) be a transversal | Construction | | 3. \(\angle ABD=…
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11/14 - triangle congruence schoology assignment the triangles are cong…
The two triangles are not necessarily congruent. There is not enough information.
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solve for x and y
\(x = 24\), \(y = 41\)
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11/14 - triangle congruence schoology assignment possible points: 0.58 …
B. Since \(\triangle ABC\cong\triangle DEF\) by SSS and \(\triangle DEF\cong\triangle GHJ\) by SAS, \(\triangle ABC\cong\triangle GHJ\) by the Transitive Property of Congruence.
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11/14 - triangle congruence schoology assignment possible points: 0.58 …
\(\triangle MWZ\cong\triangle YWX\) by \(SSS\)
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11/14 - triangle congruence schoology assignment your friend thinks tha…
No, the congruent angles are not the included angles.
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the figure below is a kite. solve for w, x, and y w = 1.6 x = 48 y =
\(w = 1.6\) cm, \(x = 48^{\circ}\), \(y = 3.0\) cm
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margaret measures \\( \\angle h g k \\) with a protractor and says that…
Margaret's answer **is** reasonable. \(\overset{\frown}{GJK}\) is **larger** than a semicircle, so its measure is **greater** than \(180^{\circ}\). Because \(\angle HGK\) intercep…
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the figure below is a kite. solve for w, x, and y
\(w = 1.6\) cm, \(x = 48^{\circ}\), \(y = 3.0\) cm
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7. what is the area of the l - shaped carpet below?
\(8x^{2}+4x\)
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the figure below is a kite. solve for w, x, and y
\(w = 1.6\), \(x = 48\), \(y = 3.4\)
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solve for x and graph the solution on the number line below. 11 < x + 5…
Inequality Notation: \(x>6\) For the number - line: Place an open circle at \(x = 6\) (because \(6\) is not included in the solution set, since the inequality is \(x>6\)) and draw…
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a goat is tethered to a rope that is 3.65 meters long. what is the maxi…
\(41.83265\space m^{2}\)
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finish the triangle proof by dragging the correct reasons to their box.…
1. Given 2. \(AC = CD\) 3. Given 4. \(\angle BAC=\angle EDC\); Alternate Interior Angles 6. ASA 7. CPCTC
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use the figure shown to the right to find the value of x. x≈ (do not ro…
\(26.2\)
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solve for x and graph the solution on the number line below. 1 ≥ x/3 an…
Inequality Notation: \(x\leq3\). On the number - line, we put a closed circle at \(x = 3\) (because the inequality is \(\leq\)) and draw an arrow to the left (towards the negative…
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solve for x and y
\(x = 90\), \(y = 43\)