Justify Reasoning Determine whether each of the following statements is true or false. Select the correct answer for each lettered part. Explain your reasoning. a. All isosceles triangles have at least two acute angles. O True OFalse O True O False b. If the perimeter of an equilateral triangle is P, then the length of each of its sides is . c. All isosceles triangles are equilateral triangles. 31 True O False O True O False d. If you know the length of one of the legs of an isosceles triangle, you can determine its perimeter. e. The exterior angle of an equilateral triangle is obtuse. O True O False

Q: 2. Which piece of information would prove a parallelogram is not a rectangle? The diagonals are…

A:

Q: Sheena claims that all quadrilaterals are rectangles. Which of the statements below disproves…

A:

Q: Complete the statement with corresponding, alternate interior, alternate exterior, or consecutive…

A: The solution of above question is written in step 3 and step 2 contains only theory part.

Q: Which of the following statements is incorrect?     A A triangle with three congruent sides is…

A:

Q: Which of the following statements is false? O A. The base angles of an isosceles trapezoid are…

A: (A) In an isosceles trapezoid, two opposite sides are equal and also other two opposite sides are…

Q: Which of the following statements is false? OA. A square is a rectangle. OB. The base angles of an…

A: Let's find.

Q: State whether the following statement is Always True, Sometimes True, or Never True. If a triangle…

A: Statement is given as, "If a triangle is inscribed in a circle and one of its side is a diameter,…

Q: True or False Two triangles are congruent if two angles andthe included side of one equals two…

A: ASA congruence postulate: According to ASA congruence postulate two triangles are congruent if: 1.…

Q: Fill in the missing statement and reason of the proof below. Given: AB AC and ABDE ACDE. Prove: ZBAD…

A: SSS Criterion: If three sides of one triangle are congruent to three sides of another triangle then…

Q: 18. Which statement does not demonstrate the corollary to the triangle exterior angle theorem? y/c…

A: We will take help of given theorem.

Q: Classify the given statement as true or false

A: Triangles are round or circles are square.

Q: Classify as true or false: a) If the vertex angles of two isosceles triangles are congruent, the…

A: we have to write true and false of the following questions.

Q: Which statement is true about the triangles below? 10 26° 26° 10 (Not drawn to scale.) They are…

A: In given triangles two sides and one angle is equal, so given triangles are congruent

Q: le can be an equilateral

A: False  statements is - An right angle triangle can be an equilateral triangle

Q: Complete the proof by dragging the statements and reasons below in the correct order onto the table.…

A: AAS rule:- Two triangle are congruent by AAS rule when two angles and one side of a triangle are…

Q: What Statement is NOT True about Rectangles?* O Diagonals Are Perpendicular O Rectangles are also…

A:

Q: Which statement is an example of deductive reasoning? A Quadrilaterals DEFG and JKLM have four…

A: We will understand deductive reasoning and find out then.

Q: Which statement about the right triangle shown below is true? 6 cm 8 cm 10 cm O The triangle has…

A: For the right angled traingle, the sum of other two angle is 90° and one angle is already 90°.…

Q: Suppose AABC is an equilateral triangle. Use the HL Theorem to explain why any segment perpendicular…

A: Statment of HL Therom:  If  the hypotenuse and leg of one right triangle are congruent to the…

Q: Which statement must be true for triangle MNP to be a right triangle?     A The sum of the areas…

A: given ,  a Picture , we have to find condition when triangle MNP is right triangle . lets suppose…

Q: Are these triangles similar? 36 49 72 67 V 54 36 T. yes no

A:

Q: Determine if triangle STU and triangle V WX are or are not simil are, state how you know. (Note that…

A: Given two triangles STU and triangle VWX. Since lengths of sides of both the triangles are given, we…

Q: Which statement is not necessarily true? O Corresponding angles of similar figures are congruent. O…

A: For similar triangle ratio of corresponding sides are equal

Q: Answer the following statement with "always", "sometimes", "never", or "not enough information to…

A: Corresponding angle  theorem When two parallel lines are intersected by a transversal the…

Q: 2. Given: ABCD is a quadrilateral, AE = BE = CE = DE Prove: ABCD is a rectangle Statement Reason E D

A:

Q: 5. Use the statement below to answer the question that follows. If a transversal intersects two…

A: For the given statement

Q: А C E°

A: The figure of the circle is given by

Q: Complete the following table: Given: △ABC is inscribed in ◉ D Prove: ∠ABC is a right triangle…

A:

Q: De termine the number of triangles with the given parts, a= 8, b=4, C=5 There is/are write An en…

A:

Q: Which statement best applies the reflexive property to the figure below? M O ZMVO and ZMRO are…

A: We see that the two angles which are marked as congruent are ∠MRS and ∠MRO.  Also, ∠MRS and ∠MRO are…

Q: Complete the proof by dragging the statements and reasons below in the correct order onto the table.…

A: We need to prove the triangle in the given figure are congruent. Two triangles are said to be…

Q: Which of the following statements is false? OA. The base angles of an isosceles trapezoid are…

A: We have to check

Q: .Write a two-column proof for the prompt below. You can not just say that angle 1 and angles 8 are…

A: Here, lines m and a are parallel to each other.

Q: Write an equivalent statement. 3. If a polygon is regular, then all its angles are congruent. 4.…

A: Equivalent statements are those which hold the same meaning as the initial statement. A statement…

Q: Complete a proof to show the triangles are congruent. If they are not congruent. are not congruent,…

A: We have to prove congruent As per guidelines we have to solve one question Please repost other…

Q: 3. Complete the sentence by choosing the proper option from the give There with angle measures of…

A:

Q: Which of the statements below are true? Select all that apply. A) Triangle A is isosceles B)…

A:

Q: A triangle whose sides are 5, 12, and 13 units long is a right triangle. True O False

A: Use pythagorous theorem to prove it

Q: 16. Paul is building a bridge for a school project and wants to make a right triangle out of three…

A:

Q: 20 21 F. 10 14 15 E 28

A: Given ΔABC and ΔDEF in which AB= 21, BC= 28, CA= 14 And DE= 10, EF = 15,  FD=20

Q: Determine whether the triangles must be congruent. If so, name the postulate or theorem that best…

A: The objective is to determine whether the triangles WXZ and YXZ are congruent or not.

Q: What is the statement for Reason 4? Complete the proof by giving the statement or reason. Given: AB…

A:

Q: 3. State if the two triangles are congruent. Explain your reasoning. b) c)

A: We have to check whether that the given triangles are congurent

Q: What Statement is NOT True about Rectangles? O Diagonals Are Perpendicular Rectangles are also…

A: [A] As you can see from the pictures to the left, the diagonals of a rectangle do not intersect in a…

Q: Rewrite the following statement as a conditional (if-then form): Equiangular triangles have 3…

A: Given,P: Equiangular triangleQ: have 3 congurent angles

Q: Which is a property of all parallelograms? O Each pair of opposite angles is congruent. O Each pair…

A:

Q: A triangle has angles that measure 45° and 65°. A second triangle has angles that measure 110° and…

A: If two triangles are said to be similar if all the three angles of one triangle is same as the…

Q: The table below is an incomplete proof to show that the measures of the interior angles of a…

A:

Q: 5. Which statement is NOT correct? A. An exterior angle of a triangle can equal one of the interior…

A: Here we have to select which statement is not correct.

Q: 24. Which statement demonstrates the corollary to the triangle exterior angle theorem? 80° y O m/x >…

A: The exterior angle theorem corollary states that: An exterior angle of a triangle is greater than…