sketch, label and mark each figure.
1.Isoscles obtuse triangle TRI with vertex angle T.
2.Rhombus RHOM with acute <H and the shorter diagonal.
3.Scalene right triangle SCA with midpoints L,M and N on SC, CA, and SA, respecitively.
4.Trapeoziod TRAP with TR|| A[, RE PA and P,E and A collinear
5.KIte KITE with EK=KI and obtuse <K
1. Isosceles obtuse triangle TRI with vertex angle T:
- Sketch a triangle shape on the paper.
- Label the vertices as T, R, and I.
- Mark angle T as the vertex angle by drawing a small arc inside the triangle near vertex T.
2. Rhombus RHOM with acute angle <H and the shorter diagonal:
- Draw a parallelogram shape on the paper.
- Label the vertices as R, H, O, and M in a clockwise direction.
- Mark angle H as the acute angle by drawing a small arc inside the shape near vertex H.
- Draw a diagonal line connecting vertices H and O. This is the shorter diagonal.
3. Scalene right triangle SCA with midpoints L, M, and N on SC, CA, and SA, respectively:
- Draw a right-angled triangle on the paper.
- Label the vertices as S, C, and A in a clockwise direction.
- Mark each side with the respective letters (SC, CA, SA).
- Locate the midpoint of SC and label it as L.
- Locate the midpoint of CA and label it as M.
- Locate the midpoint of SA and label it as N.
4. Trapezoid TRAP with TR|| A, RE || PA, and P, E, and A collinear:
- Draw a quadrilateral shape on the paper.
- Label the vertices as T, R, A, and P in a clockwise direction.
- Draw a pair of parallel lines: TR and AP.
- Draw another pair of parallel lines: RE and PA.
- Label point E on the line RE.
- Mark points P, E, and A collinear by drawing short dashed lines between them.
5. Kite KITE with EK=KI and obtuse angle <K:
- Draw a kite shape on the paper.
- Label the vertices as K, I, T, and E in a clockwise direction.
- Mark the sides EK and KI as equal by drawing small tick marks on both sides.
- Mark angle K as the obtuse angle by drawing a small arc inside the shape near vertex K.
To sketch, label, and mark each figure, follow these steps for each figure:
1. Isosceles obtuse triangle TRI with vertex angle T:
- Draw a triangle with one angle measuring more than 90 degrees.
- Label the vertices as T, R, and I.
- Mark the angle T as the vertex angle.
2. Rhombus RHOM with acute angle <H and the shorter diagonal:
- Draw a rhombus, which is a parallelogram with all sides equal in length.
- Label the vertices as R, H, O, and M.
- Mark the angle <H as an acute angle.
- Label the shorter diagonal.
3. Scalene right triangle SCA with midpoints L, M, and N on SC, CA, and SA, respectively:
- Draw a right triangle, which has one 90-degree angle.
- Label the vertices as S, C, and A.
- Label the midpoint of side SC as L, the midpoint of side CA as M, and the midpoint of side SA as N.
4. Trapezoid TRAP with TR || A[, RE || PA, and P, E, and A collinear:
- Draw a trapezoid, which has one pair of parallel sides.
- Label the vertices as T, R, A, and P.
- Draw a line segment extending from R to E, where E lies on side PA and is collinear with P and A.
- Label the line segment RE as parallel to line TA.
5. Kite KITE with EK = KI and obtuse angle <K:
- Draw a kite, which is a quadrilateral with two pairs of adjacent sides of equal length.
- Label the vertices as K, I, T, and E.
- Draw the diagonals KT and IE.
- Label the angle <K as an obtuse angle.
- Note that EK and KI are equal in length.