Name:____________________
Date: _______________________
Geometry A U4D4 Working Backwards with Ratios Warm Up
Square A
Square B
Complete the table:
Figure
Length
Width
Perimeter
Area Sq.units
Square A
Square B
Now write the ratios below:
squareA length width perimeter area




squareB length width perimeter area
Which ratios are the same?
Which ratio is different?
How can you arrive at the area ratio using the ratio of sides?
1)
Redraw the triangles:
2)
Redraw the triangles:
3)
Redraw the triangles:
4)
Redraw the triangles:
Name:____________________________
Geometry A Lesson 2-4
1. Find the value of x, y, and the measure of angle P.
2. Two polygons are similar. If the ratio of the perimeters is 3:4, find the ratio of the
corresponding sides.
3. Two polygons are similar. If the ratio of the perimeters is 3:4, find the ratio of their
corresponding areas.
4. Two polygons are similar. If the ratio of the areas is 100:49, find the ratio of their
corresponding sides.
5. 2 triangles are similar and the perimeter of the smaller one is 50. The ratio of the
corresponding sides is 3:4, find the perimeter of the larger triangle.
6. 2 triangles are similar and a side of the smaller one is 8. The ratio of the
corresponding areas is 25:36, find the length of the corresponding side of the larger
triangle.
7. Are these triangles similar why or why not?
𝑥
1
8. Solve for x: 𝑥+8 = 3
9. Solve for x:
20−𝑥
𝑥
2
=3
10. The sides of a triangle are 4, 8, 10. If the longest side of a similar triangle measures 30 find the shortest
side.
11. Joscelyn takes measurements for a dress that she is sewing. The sides of a triangular cut
out on the back are 5, 12, 13 inches. She wants to make this triangular piece bigger and
outline it with a 90 inch piece of piping that she has been saving. What is the length of all 3
sides of a similar triangle whose perimeter is 90?
12. The areas of to similar triangles are 25 sq. cm. and 9 sq. cm. If the length of a side of the larger triangle
is 20 cm, find the length of the corresponding side of the smaller triangle.