3. The figure shows a tiling of the plane by parallelograms, which are quadrilaterals having parallel opposite sides. a. Copy the diagram and mark all angles that must be congruent to Z1 if you reason from Postulate 10. b. Mark any additional angles on the diagram that are also congruent to 21, and tell why they are congruent to 21. c. This exercise suggests a theorem about the opposite angles of a parallelogram. State this theorem.

Q: 1. If (0, 0), (3, 0) and (x, y) are the vertices of an equilateral triangle, find x and y.

A:

Q: 2. In a quadrilateral ABCD, ZA = 72° and 2C is the supplementary of ZA. The other two angles are…

A:

Q: 3. The figure shown is a parallelogram. A) What are the coordinates of Q? B. Do the diagonals SQ and…

A: Topic- Coordinate Geometry

Q: Given: AABC with vertices A(-6,-2), B(2,8), and C(6,-2). AB has midpoint D, BC has midpoint E, and…

A:

Q: Which of the following could NOT be used to prove that MNOP is a rectangle? O MP=NO and MN=PO Both…

A: According to question We have to select the option which of the following could not be used To prove…

Q: 4. Show that the two internal bisectors and one external bisector of the angles of a triangle meet…

A: Given:

Q: |Consider the figures below. 2у - 3 y+ 5 (бу - 5) (4y + 11) Find the value of y in order to prove…

A: according to ASA congruence, both angle will be equal hence 6y-5=4y+11 in another way we can also…

Q: Which formula would help determine if the legs of an isosceles trapezoid are congruent

A:

Q: Decide whether or not the following definition is an equivalent definition of a rhombus: Possible…

A: A rhombus is a 2 dimension geometric figure whose all sides are equal unlike a square.   A rhombus…

Q: 2. Line XY lies on plane B. Postulate/Theorem: Illustration: 3. Points F and G lie on a line FG.…

A:

Q: Given W RST is a parallelogram and W S RT how can you classify W RST ? Explain. O A. Square; WS and…

A:

Q: A quadrilateral has four congruent sides (s) and two pairs of congruent, opposite angles (20 and 2),…

A: Given that quadrilateral has four congruent sides (s) and two pairs of congruent, opposite angles…

Q: Which of the following statements must be true in order to prove that a quadrilateral is a…

A: There are main 4 properties of a parallelogram

Q: A bag contains 9 red marbles, 4 blue marbles, 3 yellow, and 7 green marbles. A student reaches into…

A:

Q: What is the measure of ∠B if the measure of ∠A=82⁰ and quadrilaterals ABCD and AXYZ are…

A: The adjacent angles of a parallelogram are supplementary.

Q: 21 is congruent to z2; 43 is congruent to 4; 25 is congruent to z6; and QT = RT 3 4 S. O Square…

A:

Q: Trisha wants to create the perpindicular biesector of line segment AB. She places her compass on…

A:

Q: 2. B C. a. Which pair(s) of planes intersect? b. Which planes intersect in RS ?

A: 2 a.  The pairs A,C and B,C are the intersecting planes. The planes A and C intersect as; The planes…

Q: Select all the true statements. n C. Two rhombuses with the same side lengths are always congruent.…

A:

Q: Prove that Lambert and Saccheri quadrilaterals are parallelograms.

A: SACCHERI QUADRILATERAL: A quadrilateral which has two equal sides which are perpendicular to its…

Q: AB²+ AC² = 2(AO² + BO²) e O is the middle point of BC.

A: Part A

Q: Consider the statement "If P is a point on the perpendicular bisector of segment AB, then PA= PB: a.…

A: Given: "If P is a point on the perpendicular bisector of segment AB¯ then PA=PB" To do: Provide a…

Q: In triangle ABC. AB = 7 and BC = 7 . Write the theorem that allows you to conclude that B is on the…

A: Consider the triangle ABC with AB=7 and BC=7. Since AB=BC=7, So the triangle ABC would be an…

Q: 2. Determine the sum of the interior angles in a regular hexagon (6-sides).

A: