NAME ________________________________________ DATE ______________ PERIOD _____
Study Guide and Intervention
Similar and Congruent Figures
Figures that have the same size and shape are congruent figures.
Figures that have the same shape but not necessarily the same size are similar figures.
Tell whether each pair of figures is similar, congruent, or neither.
a
b
The parallelograms have
the same shape but not
the same size, so they are
similar.
c
The triangles have
the same shape and
size, so they are
congruent.
The rectangles are
neither the same size
nor the same shape, so
they are neither
congruent nor similar.
Tell whether each pair of figures is congruent, similar, or neither.
1.
2.
3.
4.
5.
6.
© Glencoe/McGraw-Hill
674
Mathematics: Applications and Concepts, Course 1
NAME ________________________________________ DATE ______________ PERIOD _____
Practice: Skills
Similar and Congruent Figures
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
© Glencoe/McGraw-Hill
675
Mathematics: Applications and Concepts, Course 1
Lesson 13–6
Tell whether each pair of figures is similar, congruent, or neither.
Math 6 NOTES (9.1 b)
Name ________________________
Congruent Triangles
Math 6 NOTES (9.1 c)
Name _____________________________________
Classifying Quadrilaterals (SOL 6.13)
Definitions
Quadrilaterals must have
•
4 sides
Parallelogram must have
•
•
•
Opposite sides parallel (2 pairs)
Opposite sides congruent
Opposite angles congruent
Rectangle must have
•
•
•
Opposite side parallel (2 pairs)
Opposite sides congruent
4 right angles
Rhombus must have
•
•
•
Opposite sides parallel (2 pairs)
4 congruent sides
Opposite angles congruent
Squares must have
•
•
•
Opposite sides parallel (2 pairs)
4 congruent sides
4 right angles
Trapezoid must have
•
1, and only 1, set of parallel sides
Kite must have
•
•
Two DISTINCT pairs of adjacent
congruent sides
Opposite sides are NOT congruent
Examples
Hierarchy of Quadrilaterals (SOL 6.13)
Quadrilateral
Kite
Trapezoid
Parallelogram
Rectangle
Rhombus
Square
Tell whether each statement is sometimes, always, or never true.
1) A rhombus is a square.
______________________________
2) A square is a parallelogram.
______________________________
3) A parallelogram is a square.
______________________________
4) A parallelogram is a trapezoid.
______________________________
5) A square is quadrilateral.
______________________________
6) A rhombus is a rectangle.
______________________________
7) A quadrilateral is a rectangle.
______________________________
• Find the Missing Angle in a Quadrilateral
***All angles in a quadrilateral add up to 360°***
Steps to finding the measure of a missing angle:
1. Find the sum of the angles you are given
2. Subtract that sum from 360°
3. Check- Add up all four angles to make sure your answer is correct!
1) 110˚ + 100˚ + 80˚ = 290˚
2) 360˚ – 290˚ = 70˚
3) 110˚ + 100˚ + 80˚ + 70˚ = 360˚