Download Lesson 5-5 - Elgin Local Schools

Lesson 6-5
Right
Triangles
Ohio Content Standards:
Ohio Content Standards:
Formally define geometric figures.
Ohio Content Standards:
Formally define and explain key aspects of geometric
figures, including:
a. interior and exterior angles of polygons;
b. segments related to triangles (median, altitude,
midsegment);
c. points of concurrency related to triangles (centroid,
incenter, orthocenter, and circumcenter);
d. circles (radius, diameter, chord, circumference, major
arc, minor arc, sector, segment, inscribed angle).
Ohio Content Standards:
Use right triangle trigonometric
relationships to determine lengths and
angle measures.
Ohio Content Standards:
Apply proportions and right triangle
trigonometric ratios to solve problems
involving missing lengths and angle
measures in similar figures.
Hypotenuse
Hypotenuse
In a right triangle, the side
opposite the right angle.
Legs
Legs
The two sides that form the right
angle.
Hypotenuse
Legs
Theorem 6-6
LL Theorem
Theorem 6-6
LL Theorem
If two legs of one right triangle are
congruent to the corresponding legs of
another right triangle, then the triangles
are congruent.
Theorem 6-7
HA Theorem
Theorem 6-7
HA Theorem
If the hypotenuse and an acute angle of
one right triangle are congruent to the
hypotenuse and corresponding angle
of another right triangle, then the
triangles are congruent.
Theorem 6-8
LA Theorem
Theorem 6-8
LA Theorem
If one leg and an acute angle of a right
triangle are congruent to the
corresponding leg and angle of another
right triangle, then the triangles are
congruent.
Postulate 6-1
HL Postulate
Postulate 6-1
HL Postulate
If the hypotenuse and a leg of one right
triangle are congruent to the
hypotenuse and corresponding leg of
another triangle, then the triangles are
congruent.
Determine whether each pair of right
triangles is congruent by LL, HA, LA, or
HL. If it is not possible to prove that they
are congruent, write not possible.
Determine whether each pair of right
triangles is congruent by LL, HA, LA, or
HL. If it is not possible to prove that they
are congruent, write not possible.
D
E
G
F
Determine whether each pair of right
triangles is congruent by LL, HA, LA, or
HL. If it is not possible to prove that they
are congruent, write not possible.
Determine whether each pair of right
triangles is congruent by LL, HA, LA, or
HL. If it is not possible to prove that they
are congruent, write not possible.
Assignment:
Pgs. 254-255
7-19 all,
23-25 all