Question

pls my humble request :(give me correct and accurate answer)
Q1) write the following statement in ' if- then' form:-

1)The opposite angles of a parallelogram are congruent.

2) the diagonals of a rectangle are congruent.

3)In an isosceles triangle, the segment joining the vertex and the midpoint of the base is perpendicular to the base.

note:(those who know only answer)

maths part 2 (Geometry)9th syllabus.​

Answer 1

Answer:

1. Parallelograms: The Two Pairs of Opposite Angles are Congruent. A parallelogram is defined as a quadrilateral where the two opposite sides are parallel. One of the properties of parallelograms is that the opposite angles are congruent, as we will now show

2. The first way to prove that the diagonals of a rectangle are congruent is to show that triangle ABC is congruent to triangle DCB. Since ABCD is a rectangle, it is also a parallelogram. Since ABCD is a parallelogram, segment AB ≅ segment DC because opposite sides of a parallelogram are congruent.

3. Isosceles Triangles: the Median to the Base is Perpendicular to the Base. In a triangle, a line that connects one corner (or vertice) to the middle point of the opposite side is called a median.

I PURPLE YOU DEAR

Step-by-step explanation:

I HOPE IT WILL HELP YOU

Answer 2

Answer:

1). Parallelograms: The Two Pairs of Opposite Angles are Congruent

By Ido Sarig, BSc, MBA

A parallelogram is defined as a quadrilateral where the two opposite sides are parallel. One of the properties of parallelograms is that the opposite angles are congruent, as we will now show.

Since this a property of any parallelogram, it is also true of any special parallelogram like a rectangle, a square, or a rhombus,

Problem

ABCD is a parallelogram, AD||BC and AB||DC. Prove that ∠BAD ≅ ∠DCB and that ∠ADC ≅ ∠CBA

parallelogram with diagonal

Strategy

There are two ways to go about this. The first is to use congruent triangles to show the corresponding angles are congruent, the other is to use the Alternate Interior Angles Theorem and apply it twice.

2). The first way to prove that the diagonals of a rectangle are congruent is to show that triangle ABC is congruent to triangle DCB

Here is what is given: Rectangle ABCD

Here is what you need to prove: segment AC ≅ segment BD

Since ABCD is a rectangle, it is also a parallelogram.

Since ABCD is a parallelogram, segment AB ≅ segment DC because opposite sides of a parallelogram are congruent.

BC ≅ BC by the Reflexive Property of Congruence.

Furthermore, ∠ABC and ∠DCB are right angles by the definition of rectangle.

∠ABC ≅ ∠DCB since all right angles are congruent.

Summary

segment AB ≅ segment DC

∠ABC ≅ ∠DCB

BC ≅ BC

Therefore, by SAS, triangle ABC ≅ triangle DCB.

Since triangle ABC ≅ triangle DCB, segment AC ≅ segment BD

sorry par mujhe jitna ata tha mene btaa diya agar ye sahi hai tu please thanks agar nhi hai tu

sorry OK

thank you so much