Lesson 13: Practice Problems

Problem 1

Segments , , and intersect at point . Angle measures . Find the value of .

Horizontal line AB with center C. Line segment DC and EC intersect at point C. Angle DCE is 148 degrees. Angle BCE is marked as x.

Problem 2

Line is perpendicular to line . Find the value of and .

Straight line m is intersected by perpendicular line l with two other lines intersecting at same point. Angles are 19, x, w, 138, unmarked, 90 degrees.

Problem 3

If you knew that two angles were complementary and were given the measure of one of those angles, would you be able to find the measure of the other angle? Explain your reasoning.

Problem 4

Here is a polygon on a grid.

  1. Draw a scaled copy of the polygon using a scale factor of 3. Label the copy .

    A polygon aligned to a square grid. The polygon is made up of two shapes, joined together on an edge. To the left is a square that has side lengths of 2 units. On the right of the square, is an isosceles triangle with its 2 unit length base joined to the edge of the square. The vertex of the triangle is 2 units to the right.

  2. Draw a scaled copy of the polygon with a scale factor . Label it .

  3. Is Polygon a scaled copy of Polygon ? If so, what is the scale factor that takes to ?

Problem 5 From Unit 3 Lesson 12

Jada, Elena, and Lin walked a total of 37 miles last week. Jada walked 4 more miles than Elena, and Lin walked 2 more miles than Jada. The diagram represents this situation:

Three tape diagrams are labeled “Elena”, “Jada,” and “Lin.” Elena’s tape diagram is of 1 part labeled m. Jada’s tape diagram is partitioned into 2 parts labeled m and 4. Lin’s tape diagram is partitioned into 3 parts labeled m, 4, and 2. A brace is drawn that contains of all 3 diagrams and is labeled 37.

Find the number of miles that they each walked. Explain or show your reasoning.