Math in Focus Grade 4 Chapter 11 Practice 2 Answer Key Properties of Squares and Rectangles

This handy Math in Focus Grade 4 Workbook Answer Key Chapter 11 Practice 2 Properties of Squares and Rectangles detailed solutions for the textbook questions.

Math in Focus Grade 4 Chapter 11 Practice 2 Answer Key Properties of Squares and Rectangles

All the figures are rectangles. Find the measures of the unknown angles.

Example

Find the measure of ∠a.

Question 1.
Find the measure of ∠b.

Measure of ∠b = 900 – 270
∠b= 630
Explanation:
A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. Subtract 270 from 900the difference is equal to 630.
Question 2.
Find the measure of ∠c.

Measure of ∠c = 900 – 45 0
∠c= 450
Explanation:
A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. Subtract 450 from 900the difference is equal to 450.

All the figures are rectangles. Find the measures of the unknown angles.

Question 3.
Find the measure of ∠p.

Measure of ∠p = 900 – 360– 180
∠p= 360
Explanation:
A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. Subtract 360 and 180 from 900the difference is equal to 360.

Question 4.
Find the measure of ∠m.

Measure of ∠m = 900 – 390– 220
∠m= 290
Explanation:
A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. Subtract 390 and 220 from 900the difference is equal to 290.

The figure is a rectangle. Find the measure of the unknown angle.

Question 5.
Find the measure of ∠s.

Measure of ∠s = 900 – 250– 120
∠s= 530
Explanation:
A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. Subtract 250 and 120 from 900the difference is equal to 530.

Find the lengths of the unknown sides.

Question 6.
The figure is made up of a rectangle and a square. Find BC and GE.

In the above image we can observe rectangle and a square.
From the rectangle ABFG we know that
GA = BF = 12 cm
AB = FG = 15cm
From the square CDEF we know that
CD = DE = EF = FC = 8 cm
BC = GA – CF
BC = 12 – 8
BC = 4 cm
GE = AB + EF
GE = 15 + 8
GE = 23 cm

Find the lengths of the unknown sides.

Question 7.
The figure is made up of two rectangles. Find BD and FG.

In the above image we can observe two rectangles.
From the rectangle ABCG we know that
AB = CG = 20 feet
BC = GA = 17 feet
From the rectangle CDEF we know that
CD = EF = 5 feet
DE = FC = 14 feet
BD = BC + CD
BD = 17 + 5
BD = 22 feet
FG = AB – FC
FG = 20 – 14
FG = 6 feet

Question 8.
The figure is made up of two rectangles. Find QR and RT.

In the above image we can observe two rectangles.
From the rectangle PQRS we know that
PQ = RS = 5 yards
QR = SP
From the rectangle STUV we know that
ST = UV = 6 yards
TU = VS = 4 yards
QR = PV + VS
QR = 3 + 4
QR = 7 yards
RT = RS + ST
RT = 5 + 6
RT = 11 yards

Find the lengths of the unknown sides.

Question 9.
The figure is made up of two rectangles. Find FG.

In the above image we can observe two rectangles.
From the rectangle ABGH we know that
BG = HA = 5 miles
AB = GH
From the rectangle CDEF we know that
DE = FC = 8 miles
CD = EF
CG = HA – BC
CG = 5 – 3
CG = 2 miles
FG = DE – CG
FG = 8 – 2
FG = 6 miles

Question 10.
The figure is made up of a square and a rectangle. Find BC.