Given: MT and HA intersect at B, (MA)(HT) and MT bisects HA Prove: MT = HA Part A: Annotate the diagram to the left Part B: Complete the proof below Statement Reason B

Q: Let ABC be a right triangle and H be the foot of the altitude relative to the hypotenuse BC. Let…

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Q: Compute the Cartesian form of z (i.e., z = a + ib) and show all steps. Also, what are the angles of…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 6. In ADEF, mLD = 50, and an exterior angle with vertex F has measure 120. What is the longest side…

A: Given that : In ∆DEF, m∠D=50, an exterior angle of vertex F has measure 120

Q: Given: BA = ED Cis the midpoint of AE and BD Prove: AABC AEDC

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Q: A D F Using only the marking in the diagram, what theorem can be used to show that the two triangles…

A: Solution: Two triangles are said to be congruent if the three sides and the three…

Q: 6. The median to the base of an isosceles triangle is the perpendicular bisector of the base.…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: Use the diagram and given information to answer the questions and prove the statement. Given: ∠X ≅…

A: First re-draw both the triangles separately as:

Q: What additional information is needed in order to prove that the triangles are congruent by the ASA…

A: The Angle – Angle – Side rule (AAS) states that two triangles are congruent if their corresponding…

Q: 15. What theorem would be used to prove the triangles below congruent? V W Y. z- SSS SAS AAA SSA

A: Side angle side (SAS)  If two sides and the included angle of one triangle are equal to two sides…

Q: 7.In the following figure, (LF) is parallel fto BC, prove that the triangle FHC is isosceles A F L H

A: It is given that LF is parallel to BC. And ∠AFL and ∠LFH are equal (given )

Q: 10. Given: AE bisects BD, LA ZE Prove: AABC AEDC

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Q: Find a formula for the area of the triangle whose vertices are 0, v, , and v2 in R?. Choose the…

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Q: 61° F H. 61° Determine if the triangles are similar or not. SSS - AA - SAS - Not ~

A: Here we determine the triangle similarities.

Q: AB is perpendicular to AD CB is perpendicular to CD DA is congruent to DC Prove: Triangle ABD is…

A: 1. Statement: AB¯⊥AD¯, CB¯⊥CD¯, DA¯≅DC¯ Reason: Given data of the problem. 2. Statement: ∠A and ∠C…

Q: Using the image below, what method of proof can be used to prove the triangles congruent? None not…

A: The given question is from the topic of triangle

Q: Given: MT and HA intersect at B, MA  HT , and MT bisects HA. Prove: MA ≅ HT

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Q: Is enough information given to prove that AGHF = AKHJ using the SAS Congruence Theorem? G K. о yes O…

A: We have to test whether the given triangles are congruent or not

Q: Derive the distance formula in R^3 from the Pythagorean Theorem.

A: Through the points P and Q, we draw planes parallel to the rectangular coordinate plane such that…

Q: Are the triangles pictured below similar? Yes, the triangles are similar by AA-. B Yes, the…

A: We have to find property by which triangles are similar. Option A is correct.

Q: 24. Which pair of triangles cannot be proven congruent using the HL theorem? T O K M

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Q: 7. Given that BOC is a diameter and that ADC = 90°, prove that AC bisects BCD. %3D -E 10.4…

A: Join A and O. Note that, OA is perpendicular to DE

Q: In the figure below, AD and FH are parallel. Points F, G, and H are collinear, as are points A, B,…

A: using basic properties we can find the value of given angle

Q: In the figure, AB = DE and C is the midpoint of both AD and BE . E A. B Prove AABC = ADEC

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Q: The altitudes of a triangle ABC intersect at a point H. Let O, be the circumcenter of the A triangle…

A: Given ABC be a triangle, and H be the altitude that intersect to the triangle.Draw the circumcenter…

Q: Let ABC be a right triangle and H be the foot of the altitude relative to the hypotenuse BC. Let…

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Q: 1. Given AABC with incenter I, suppose that the three triangles AABI, ABCI, and AACI all have equal…

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Q: Consider the incomplete paragraph proof shown. Given: Isosceles AABC with AB BC. Prove: LA LC A D C…

A: Here we have to proof ∠A≅∠C

Q: elow. 7 Z

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Q: in the figure shown, GM IMO and EOIMO. Which theorem can be used to prove AGMO AEOM? G. M A LA BLL…

A: Since GM¯⊥MO¯ so ∆GMO is a right triangle.Since EO¯⊥MO¯ so ∆EOM is a right triangle.

Q: Using the image below, what method of proof can be used to prove the triangles congruent? A O AAS O…

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Q: a. Kite LMNO with diagonals LNand MO intersecting at point X. b. A pyramid with a rectangular base.

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Q: (a) Define what it means for two triangles AABC and ADEF to be congruent. (b) State the SAS…

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Q: Are the triangles below simil ä r? If so, with what theorem? 1 F 11 33 23 22 H. 1S 6

A: NO, the triangles are not similar because, FH/FS not equal to HG/SR 33/10 =18/6 (198)=/(180)

Q: 5. Which pair of triangles prove AAS? C D K BF В. С. H. А. D.

A: Given query Is to find AAS congruent triangle.

Q: Prove that if P is the perimeter of a Pythagorean Triangle with integral sides a, b and c, then P…

A: We have to prove that P divides ab.

Q: In the following triangle, point E is the midpoint of AB, and point D is the midpoint of AC. D E…

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Q: O is the center of a circle whose circumference passes through the vertices of an equilateral…

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Q: 1. Based on the figure, the following are the corresponding congruent parts of the two triangles…

A: Based on the figure given, the corresponding congruent parts of the two triangles are:…

Q: 7. Let ABCD be a trapezoid with bases lengths BC = b and AD = a. Assume the diagonal of ABCD…

A: Consider the given information, Let ABCD be a trapezoid with bases Bc=b and AD=a. The diagonals of…

Q: 4. Can the AA Similarity Postulate be used to prove the triangles below are si J 10 8 1210 121° 4.…

A: Solving by AA property we have

Q: For this question, assume the Parallel Postulate P-1 (a) State the Pythagorean Theorem carefully.…

A: The longest side of the triangle is called the "hypotenuse", so the formal definition is In a right…

Q: ABC is an equilateral triangle of side 3 units. The points P, Q lie on BC, CA re- spectively and are…

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Q: Given A can you prove triangle simular ? Yes by AA - b. Yes by SSS- Yes SAS- Od No you can not IN

A: We have to check the similarity of triangle

Q: 3.) AWXY and AABC are isosceles, with bases WY and AB respectively. If ZX and ZB are each 50° and WX…

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Q: Let AABC be a triangle. Denote the altitudes at <A, <B, and <C by AD, BE and CF, correspondingly.…

A: given that                                          AD, BE and CF are altitudes H be orthocenter…

Q: What additional information is needed to prove the triangles congruent by ASA theorem?   Group of…

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Q: ABC is an isosceles triangle having AB = AC. Find (i) point D on BC so that, if DE is drawn BC to…

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Q: B GIVEN: IB || ET, IS bisects EIB, EC bisects TEI. PROVE: XBIS = TEC. T

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Q: Use the diagram shown to prove the Pythagorean Theorem a² + b = c A D B C

A: The solution for the above question is as shown below.

Q: 2. Consider the following diagram. U Part A: Prove that a LOU~A OZU- A LZo. Part B: Prove that the…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.