Prove that if a line bisects one side of a triangle and is parallel to a second side, then it bisects the third side.

Q: Prove that the kite's diagonals are perpendicular. Illustrate and show full solutions

A: Consider a kite.

Q: A parallelogram has exactly two paris of perpendicular sides True or false ?

A: The rectangle has exactly two pairs of perpendicular sides.

Q: Suppose that two lines are cut by a transversal in such a way that the pairs of corresponding angles…

A: If the transversal line N of two lines L and M, then formed angles ∠1 & ∠2 and ∠3 & ∠4 are…

Q: Write numbers 13 and 14 equation of parallel to the given line that contains C.

A: We need to find equation of parallel line.

Q: What are the missing coordinates of point Q?  Given A(7,1), B(4,8), and C(10,3), which coordinate…

A: Given, P(0,c) N(2a,0) PN=NQ Therefore,  ON=OQ Since, O is the origin, the coordinates of Q is given…

Q: Shiro sketched coplanar lines m, n, and r on his homework paper. He claims that it shows that lines…

A:

Q: 4. In this figure, lines a and b are intersected by line t.

A: Answer: ∠1 ≅∠3  .

Q: By calculating the lengths of its sides, show that the triangle with vertices at the points A(1, 2),…

A:

Q: Calculate the requested distance. The distance from the point S(-10, 2, -1) to the line x = -1 +…

A: Question is solved.

Q: Prove that if two intersecting lines form one right angle, then they form four right angles.

A:

Q: Prove that the diagonals of a parallelogram bisect each other.

A:

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: Use an algebraic proof to show that the points A(-3, 1), B(0, 4), C(0, 2), and D(-3, -1) form a…

A:

Q: Prove that the line joining the midpoints of opposite sides of a quadrilateral and the line joining…

A:

Q: A B D C AC = BD AB//CD and AD//BC all angles are congruent angle A and angle C are both right angles

A:

Q: Prove that parallelogram of the same base and the same parallel lines are equal in area.

A: Given: parallelogram of the same base and the same parallel lines are equal in area.To prove: Area…

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: box 1: vertical angles congruence box 2: corresponding angles

A: Figure :

Q: How to find the value of x that makes m and n parallel

A:

Q: Find the value of s in parallelogram ABCD. S+61 5s-39 D

A:

Q: Prove that a line cannot contain three distinct points.

A: We prove that a line cannot contain three distinct points by method of contradiction.

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: 2. Through any two points, there exists 2. 1 exactly one line. 3. PQ || RS, QR || PS 3. Definition…

A: To fill: Box 1 and Box 2. Given information: Reason for Box 2. Through any two points there exists…

Q: Prove that a quadrilateral can be inscribed in a circle if and only if its opposite angles are…

A:

Q: 11. Determine if the statement is true or false. "A kite is a parallelogram"

A: Given the statement, "A kite is a parallelogram"

Q: Is line JK parallel to segment FG in the diagram below? Why or why not?

A: