If the two triangles shown are congruent, what is true of the two triangles?
2 answers:
Answer:
True value of Triangle
Step-by-step explanation:
Congruency of triangles helps us to relate two triangles in different way. We can prove that two triangles are congruent with the help of many techniques.
Once we have proved that , then, the two triangles share the following property:
1. AB = PQ
2. BC = QR
3. AC = PR
4. ∠A = ∠P
5. ∠B = ∠Q
6. ∠C = ∠R
This is referred to as the true property of the triangle. If we know the measure of one triangle out of two congruent triangle, then measure for second triangle can be found.
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Answer:
Option (2). 1
Step-by-step explanation:
Coordinates of point A, B, C and D are,
A(-4, 4), B(-2, 4), C(-2, 1) and D(-4, 3).
Quadrilateral ABCD when rotated 90° clockwise about the origin,
Rule for the rotation of the vertices,
(x, y) → (y, -x)
Following the rule of rotation coordinates of the image points,
A(-4, 4) → A'(4, 4)
B(-2, 4) → B'(4, 2)
C(-2, 1) → C'(1, 2)
D(-4, 3) → D'(3, 4)
Since all image points have the positive coordinates (x and y coordinates), image quadrilateral A'B'C'D' will be located in 1st quadrant.
Option (2) is the correct option.
