Unit 7 Quiz Review Chapter 7 Lessons 1-4 & 6. 7-1 Classify Angles – Right, acute, obtuse, and straight Name Angles – Use ∠ symbol – Use 3 points (all.

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Presentation transcript:

Unit 7 Quiz Review Chapter 7 Lessons 1-4 & 6

7-1 Classify Angles – Right, acute, obtuse, and straight Name Angles – Use ∠ symbol – Use 3 points (all capital letters) – Vertex point must be in center

7-1 Special Angle Relationships: – Vertical angles = opposite angles formed by the intersection of two lines Directly across from one another THEY HAVE THE SAME MEASURE! – Adjacent angles = two angles that share a common vertex, a common side, and do not overlap Right next to each other

Refer to the diagram. Name two pairs of vertical angles Name two angles that are adjacent

What is the measure of ∠ VYW? What is the measure of ∠ WYX? What is the measure of ∠ SYW?

What is the value of x in the figure? How are the two angles related?

What is the value of x in the figure? How are the two angles related?

7-2 Complementary and Supplementary Angles – Two angles are complementary if the sum of their measures is 90 0 They make a right angle! – Two angles are supplementary if the sum of their measures is They make a straight line! – SET UP EQUATION TO FIND VALUE OF X!

How are the two angles related? Find the value of x.

How are the two angles related? Find the value of x.

How are the two angles related? Find the value of x.

Set up equations to find the value of x in the figures below.

If the measure of ∠ A is 73 o and ∠ A and ∠ B are complementary, what is the measure of ∠ B? ∠ J and ∠ K are supplementary. The measure of ∠ J is (9x) o and the measure of ∠ K is 45 o. What is the value of x?

7-3 Triangles – Classify Triangles by their angles AND sides Angles: Acute, right, or obtuse Sides: Scalene, isosceles, or equilateral – Congruent sides are shown with tick marks

Classify the marked triangle in each object by its angles and by its sides.

Draw a triangle that satisfies each set of conditions. Then classify the triangle. 1.A triangle with three acute angles and no congruent sides 2.A triangle with one right angle and two congruent sides

Angles of a Triangle – The sum of the measures of the angles of a triangle is 180 o You can write and solve an equation to find the missing angle measure OR Add the angles that are given and subtract the total from 180 o

Find the missing angle measures in the triangles below.

Find the third angle of a right triangle if one of the angles measures 24°. In ∆XYZ, m ∠ Z = 113° and m ∠ X = 28°. What is m ∠ Y?

7-6 Cross Sections – The intersection of a solid and a plane is called a cross section of the solid – Cross sections produce 2-dimensional shapes – Can be horizontal, vertical, or angled

Name the figure and find the shapes resulting from the cross-sections below:

7-4 Scale Drawings – 3 types of problems to solve 1.Use a Scale Drawing or a Scale Model – Set up proportion to solve First fraction = scale with units (put actual on bottom) Second fraction = line up units ACROSS and solve for missing part Label answer

Example of #1 An engineer makes a model of a bridge using a scale of 1 inch = 3 yards. The length of the actual bridge is 50 yards. What is the length of the model?

2.Find the Scale of a Model/Map – Set up fraction with actual measurement on bottom – Simplify the fraction completely OR divide to get a numerator of 1 – Keep the units and write the scale with an = sign

Example of #2 Salem and Eugene, Oregon, are 4 inches apart on a map. If the two cities are actually 64 miles apart, find the scale of the map.

3.Find the Scale Factor – Set up fraction WITH UNITS with actual measurement on bottom – Multiply fraction by another fraction in which the units cancel out – Fill in the correct numbers for second fraction – Multiply across and simplify – Answer is a fraction with NO UNITS!

Example of #3 Find the scale factor of a map if the scale is 1 inch = 20 feet.

Read the problem carefully to figure out which type of problem it is. Then show your work and solve. 1. Find the scale factor of a model boat if the scale is 1 inch = 8 feet.

2. Suppose you are drawing a desk using a scale of 1.5 inches = 0.5 feet. If the desk is actually 6 feet long, what is the length of the desk in the drawing?