Classify as true or false: a) If the vertex angles of two isosceles triangles are congruent, the triangles are similar. b) Any two equilateral triangles are similar.

Q: Find the measures of the angles between the diago-nals of the rectangle whose vertices are A = (1,…

A: The given vertices of the rectangle is A = (1,0), B = (0,3), C = (3,4), and D = (4,1).Use the given…

Q: If two triangles are similar, then corresponding anglesare________ and the lengths of corresponding…

A: Two triangles are said to be similar if their corresponding angles are congruent…

Q: Prove that the angles at the base of an isosceles triangle are equal.

A: To prove: The angles at the base of an isosceles triangle are equal. Proof: Let an isoscles triangle…

Q: 1. 2. 3. G H 4. 5. 6.

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: Which pair of triangles are congruent?

A: As we know that two triangles are congruent if they completely overlap each other.

Q: State the theorem that proves that the pair of triangles are congruent. 2. 1. 3. 4. 5.

A: We have to give the names of congruency with which the given triangles are congruent.

Q: Prove that every equilateral triangle is equiangular, and vice versa.

A: Prove that every equilateral triangle is equiangular, Proof : In△ABC, AB=BC=AC…

Q: What is the sum of the exterior angle measures, one at each vertex, of a convex 17-gon?

A: The given polygon is convex 17-gon

Q: Find the number of sides for a regular polygon in which the measure of each interior angle is 90°…

A: Th measure of each interior angle of a regular polygon of side n is given by I=n-2180°n. The measure…

Q: State what additional information is required in order to know that the triangles are congruent for…

A: Solution of the problem as follows

Q: In quadrilateral ABCD, it is given that AB = CD and BC = DA. Prove that angles ACD and C AB are the…

A: Given: in quadrilateral ABCD if AB=CD and BC=DA prove angle ACD and angle CAB are of same size

Q: If two triangles are similar, then corresponding anglesare and the lengths of corresponding sides…

A: If two triangles are similar, then corresponding angles are equal and the lengths of corresponding…

Q: Given rectangle ABCD, let P be the point outside ABCD that makes triangle CDP equilateral, and let Q…

A: The given figure is: where ABCD is a rectangle and PCD and BCQ  are equilateral triangles.

Q: Opposite angles are congruent in an isosceles trapezoid. O True O False

A: In Isosceles trapezoid,

Q: Which two triangles are congruent?

A: given triangle Q is here third angle is x, so       x+65°+45°=180°x=180°-110°x=70° 65o is between…

Q: if ABCD is a rhombus, AC=4, and ADC is an equilateral triangle, what is the area of rhombus?

A: Drawing the figure as per the question, As we are given that AC=4 and ADC is an equilateral…

Q: A quadrilateral with both pairs of opposite angles congruent is a_____

A: Given statement is "A quadrilateral with both pairs of opposite angles congruent."

Q: For a triangle, which two points of concurrence could be located outside the triangle?

A: Which point of concurrence could be locatedoutside the triangle

Q: A parallelogram with all four sides congruent is classified as a:

A: Given : A parallelogram with all four sides congruent.

Q: The ratio of interior angles of two regular polygons is 2: 3. Find and name all pairs of regular…

A: Answer is mentioned below

Q: Which method listed below would not be used to prove that two triangles are congruent?

A: We know that when all three sets of corresponding angles are congruent then triangles can be similar…

Q: The circumecenter of triangle HJK is point p. point A lies on line HJ and AP is perpendicular to…

A: Follow 2nd step.

Q: What theorem can be used to prove these triangles are congruent? A ASA SAA neither

A:

Q: A quadrilateral that is equiangular, but is not equilateral, must be a - (Give the strongest…

A:

Q: Are the triangles congruent? if yes, state the congruence theorem

A: If there are two sides equal in both triangle and also angles contained between the equal sides are…

Q: Write a complete proof to prove that the base angles of an isosceles trapezoid are congruent

A:

Q: In order for two polygons to be similar, you must show that corresponding angles…

A: Similar polygons

Q: of

A:

Q: Based on the information in the diagram, can you prove that the figure is a parallelogram? Explain?…

A: Given:

Q: Measurements are made on quadrilaterals ABCD and PQRS, and we find that angles A, B, and C are the…

A:

Q: Given quadrilateral ABCD is a rhombus and MZABD= 32°, find the measure of each numbered angle below.…

A: since the diagonals of a rhombus intersect at right    angles ∠2=90°…

Q: What property could you use to show that triangles ACT and ODG are congruent?

A:

Q: Prove that if a triangle has two congruent angles, then it is isosceles.

A: Triangle with two equal sides is called anisoceles triangle.To prove: If a triangle has two…

Q: What type of trapezoid a) has congruent diagonals? b) has congruent base angles?

A:

Q: ) Explain why the triangles are congruent.

A: From both the triangles  m∠A=m∠Dm∠B=m∠ESo angles A  and D  are congruentangles B   and E  are…

Q: If the midpoints of the sides of an isosceles trapezoid are joined in order, then the quadrilateral…

A: In an isosceles trapezoid: One pair of sides are parallel. The other pair of sides are equal.…

Q: Based on the image below, which triangle congruence theorem would prove the triangles congruent?

A:

Q: 44. Prove: The diagonals of an isosceles trapezoid are congruent.

A:

Q: What additional information would prove the triangles congruent by the hypotenuse-

A: Consider the given figure:

Q: Decide which method, SAS, ASA, AAS, or HL, can be used to prove that the triangles are congruent.

A: Given figure, we have to decide which method can be used to prove that triangles are congruent.

Q: Find the number of sides for a regular polygon in which the measure of each interior angle is 60°…

A: Given: The measure of each interior angle of a regular polygon is 60° greater than the measure of…

Q: Which quadrilaterals always have opposite angles that are congruent?

A:

Q: What is the measure of one exterior angle of a regular hexagon?

A:

Q: Which rule explains why these triangles are congruent?

A:

Q: A quadrilateral must be a parallelogram if one pair of opposite sides is: OA. congruent and the…

A: use property of triangle to prove the given problem

Q: Which fact about the angles formed by parallel lines is used in the proof that the diagonal of a…

A:

Q: What additional information would be necessary to prove that the two triangles, rXBY and rZAY, are…

A:

Q: Why are these triangles congruent?

A: The triangles XYZ and XZW are given, we have to show that they are congruent.

Q: Which pair of triangles can be proven congruent using the Hypotenuse-Leg Theorem?

A: our objective is to find the correct choice

Q: What is the measure for each exterior angle for a regular polygon with 200 sides?

A: