Which statement proves that quadrilateral HIJK is a kite?
2 answers:
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Answer:
Step-by-step explanation:
We know that the new equation must be parallel to .
Therefore, since they are parallel, the slope of the new equation must be the same as the old.
The slope of the original equation is -1.
Therefore, the slope of our new equation is also -1.
We also know that it has a y-intercept at (0, 11).
And as determined earlier, it has a slope of -1.
So, we can use the slope-intercept form:
Where m is the slope and b is the y-intercept.
We will substitute -1 for m and 11 for b. Thus, our equation is:
Answer:
The correct option is
If two sides and one included angle are equal in triangles PQS and PRS, then their third sides are equal.
Step-by-step explanation:
Given:
RS ≅ SQ
∠PSR ≅ ∠PSQ = 90°
To Prove:
point P is equidistant from points R and Q
i.e PR ≅ PQ
Proof:
In ΔPSR and Δ PSQ
PS ≅ PS ……….{Reflexive Property}
∠PSR ≅ ∠PSQ = 90° …………..{Measure of each angle is 90° given}
RS ≅ QS ……….{Given}
ΔPSR ≅ ΔPSQ ….{By Side-Angle-Side Congruence test}
∴ PR ≅ PQ .....{Corresponding Parts of Congruent Triangles}
i.e point P is equidistant from points R and Q .......Proved
