Answer:
16
Step-by-step explanation:
Input it in the calculator
HETY is a parallelogram.
HT and EY are diagonals. We know that diagonals divides the parallelogram into two equal parts.
So ar(HET) = ar(HTY)
And, ar(HEY) = ar(EYT) now, in AHET, diagonal EY bisects the line segment HT and also the AHET,
∴ar(AHOE) = ar(AEOT)
Similarly in AETY
ar(ΔΕΟΤ) = ar(ΔΤΟΥ)
And in AHTY,
ar(ATOY) = ar(AHOY)
That means diagonals in parallelogram divides it into four equal parts.
Hence Proofed.
K=d
d=5
Since K is equal to d, and d is 5, the value of K is 5.
K=5
5(K)=5(d)
Answer: SAS or Side-Angle-Side
Step-by-step explanation: Two triangles are congruent if they have the same exactly 3 sides and same exactly 3 angles.
There are methods to help prove congruence.
For example:
- <u>ASA</u> or <u>Angle-Side-Angle</u>: when two angles and the included side of one triangle are congruent to the corresponding parts of the other triangle;
- <u>SAS</u> or <u>Side-Angle-Side</u>: when two sides and the included angle of one triangle is congruent to the corresponding parts of the other triangle;
- <u>SSS</u> or <u>Side-Side-Side</u>: if three sides of one triangel are congruent to the three sides of the other triangle, they are congruent;
The triangles TUM and SRM are congruent because:
Lines RU and TS intersect at point M forming two pair of opposite angles, which are vertical and therefore, the same.
Being midpoint, point M divides RU into two equal segments: UM = MR. The same happens to TS: TM = MS.
Two sides and the included angle of one triangle is congruent to the corresponding parts of the other triangle, which means ΔTUM and ΔSRM are congruent and proved by SAS method.
