39
What is Congruent? Determine what is congruent on each slide.
What is Congruent?
Determine what is congruent on each slide.
What is congruent?
Are the triangles congruent?
Why not?
D
Are the triangles congruent?
How would you prove it?
D
What is congruent?
Are the triangles congruent?
What do you need to make them congruent?
Are the triangles congruent?
What are the different ways you could prove them congruent?
Are the triangles congruent?
How does changing the side congruence change the proof?
What is congruent?
Are the triangles congruent?
How would you prove it?
What is congruent?
Let:FB=BDAB=CB
ΔAFB is congruent to what triangle?
How will you prove it?
ΔEAD is congruent to Δ? How will you prove it?
What is FBDE?
What is congruent?
Are the triangles congruent?
How would you prove it?
What is congruent?
Examine BD. Without further labeling, all BD does is divide ΔABC.
<A & <C are the base angles.
BD is a median.
Are the triangles congruent?How would you prove it?
<A & <C are the base angles.
BD is a perpendicular bisector.
Are the triangles congruent?How would you prove it?<A & <C
are the base angles.
BD is an angle bisector.
Are the triangles congruent?How would you prove it?
<A & <C are the base angles.
BD is an altitude.
Are the triangles congruent?How would you prove it?
<A & <C are the base angles.
What is congruent?
ABCDEF is a regular hexagon.
ABCDEF is a regular hexagon.
Are the triangles congruent?
How would you prove it?
What is congruent?
ΔADB is congruent to what triangle?
How would you prove it?
is that they have 2 pairs of parallel sides.
What is congruent?
all you know about parallelograms
Remember,
first determine what is supplementary.
What is congruent?
what is congruent, sometimes you
To determine
What is congruent?
Are the triangles congruent?
How would you prove it?
How would you prove it?What do you now know about parallelograms?
Are the triangles congruent?Which ones?
Remember, rectangles have 4
What is congruent?
right angles.
What is congruent?
Are the triangles congruent?
How would you prove it?
Are the triangles congruent?
How would you prove it?
What do you now know about rectangles?
Which ones?
What is congruent?
Remember, a kite has two pairs of consecutive congruent sides.
Are the triangles congruent?
How would you prove it?
Are the triangles congruent?
How would you prove it?
What do you now know about kites? What is different from rectangles?
Which ones?
What is congruent?
ABCD is a rhombus.
A
D
C
B
Are the triangles congruent?
ABCD is a rhombus.
A
D
C
B
Are the triangles congruent?
ABCD is a rhombus.
A
D
C
B
Which ones?
What do you now know about rhombi? What is different from rectangles? From kites? The same?
E
Congruency ToolboxAngles
• Given• Reflexive• Vertical• Alternate Interior <‘s, ||• Corresponding <‘s, ||• Right <‘s, Supplementary• Right <‘s, Linear Pair• Right <‘s, Consecutive Int.• Angle Bisector• Isosceles Triangle• Altitude• Perpendicular Bisector• Regular Polygon
Sides• Given• Reflexive• Overlapping Segments• Radii• Diameter• Midpoint• Perpendicular Bisector• Isosceles Triangle• Regular Polygon• 2 Pairs of Congruent Sides in
Right Triangle
