1. Study Guide

2. Vocabulary

4. Acute Angle –
any angle less than 90º

5. a 90º angle
Right Angle –

6. any angle larger than 90º
Obtuse Angle -

7. angles that add up to 90º
Complementary Angles –

8. angles that add up to 180º
Supplementary Angles –

9. Adjacent Angles -
angles that share a common vertex and ray…angles that are back to back.
*Vertex – the “corner” of the angle
*Ray – a line that has an endpoint
on one end and goes on
forever in the other direction.

10. A ≅ B denotes that A is congruent to B.
Congruent Angles –
Angles with equal measurement
A ≅ B denotes that A is congruent to B.

11. a line that intersects a set of parallel lines
Transversal -
a line that intersects a set of parallel lines t

12. Vertical Angles
Two angles that are opposite angles at intersecting lines. Vertical angles are congruent angles. t
1   4
2   3 1 2 3 4

13. 1   5 2   6 3   7 4   8 Corresponding Angles
Two angles that occupy corresponding positions when parallel lines are intersected by a transversal…same side of transversal AND same side of own parallel line. Corresponding angles are congruent angles. t
1   5
2   6
3   7
4   8
Top Left
Top Right 1 2 3 4 5 6 7 8
Bottom Left
Bottom Right
Top Left
Top Right
Bottom Left
Bottom Right

14. 1+2=180 2+4=180 4+3=180 3+1=180 5+6=180 6+8=180 8+7=180
Linear Pair
Two adjacent angles that form a line. They are supplementary. (angle sum = 180) 1 2 3 4 5 6 7 8 t
1+2=180
2+4=180
4+3=180
3+1=180
5+6=180
6+8=180
8+7=180
7+5=180

15. Alternate Exterior Angles
Two angles that lie outside parallel lines on opposite sides of the transversal. They are congruent. t
2   7
1   8 1 2 3 4 5 6 7 8

16. Alternate Interior Angles
Two angles that lie between parallel lines on opposite sides of the transversal. These angles are congruent. t
3   6
4   5 1 2 3 4 5 6 7 8

17. Same Side Interior Angles
Two angles that lie between parallel lines on the same sides of the transversal. These angles are supplementary. t
3 +5 = 180
4 +6 = 180 1 2 3 4 5 6 7 8
*Also known as Consecutive Interior Angles

18. Same Side Exterior Angles
Two angles that lie outside parallel lines on the same side of the transversal. These angles are supplementary. t
1 +  7 = 180
2 +  8 = 180 1 2 3 4 5 6 7 8
*Also known as Consecutive Exterior Angles

19. Proportions: Two fractions that are set up equal to each other
Proportions: Two fractions that are set up equal to each other. To solve for a missing part of a proportion, cross multiply, then solve the equation. Ratio: Comparing quantities: Can be written as a fraction, with the word to in between the numbers or with a : in between the numbers. Scale factor is what you multiply the pre-image (original figure) by in order to get the image (new figure). The scale factor of the perimeter squared IS the scale factor of the area of two figures.

20. Similar Figures: Corresponding angles have the same measurement AND corresponding sides are proportional. Unit Rate: A ratio with a denominator of one. (The cost of one notebook, etc)

21. Word Problems
1. Set up a proportion by labeling the numerators and the denominators. 2. Then place the numbers in the correct places BEING CAREFUL TO READ THE LABELS YOU CREATED. 3. Cross multiply. 4. Solve the equation.

22. Triangles – all angles add up to 180º
How do we classify triangles based on its sides?

23. How do we classify triangles based on its angles?
Equilateral or

24. Quadrilaterals – a four sided figure.

25. Perimeter – the distance around a figure
Perimeter – the distance around a figure. (Add up all sides of the figure.)

26. Circumference – the distance around a circle
Circumference – the distance around a circle. Diameter – the distance across a circle making certain to go through the center. Radius – the distance from any point on a circle to the center.

29. Triangular prism
Rectangular prism
Pentagonal prism

31. Cross section – the polygon (flat shape) that you see when you slice open a 3d figure.