GRADE 10 MATHS ASSIGNMENT 2026 TERM 2 | explained

Ajouté : 2026-05-13

[00:00:02]All right, welcome back again, grade 10 learners.

[00:00:06]Don't forget to subscribe to our channel. It's free. You don't pay anything.

[00:00:10]I want to take you through the practice assignment for 2026.

[00:00:15]All right, let's look at this one. Um in this video I'll be focusing on the Euclidean geometry part. On the next video, we'll be looking at uh functions, then we conclude everything.

[00:00:30]All right. Now, the first question is, use the diagram below that the uh to prove that the opposite sides of a parallelogram are equal.

[00:00:40]Now, I'm going to use congruency. I want to talk about in triangle P Q S and triangle S R P.

[00:01:05]I want to talk about these two triangles. Then we want to see if there are some If you prove them that they are congruent, then we have reached the target, right?

[00:01:15]Now, number one, on this PQS, I see this one.

[00:01:19]You see this angle.

[00:01:20]Remember this thing is a parallelogram, so angle Q is equal to angle R.

[00:01:27]Then you say opposite angles of palm.

[00:01:35]Opposite angles of a palm. A palm parallelogram. Opposite angles of palm, p a r m.

[00:01:45]Okay?

[00:01:47]Then we can see alternate angles. This angle Okay, let's leave that one.

[00:01:55]Let's come to this so that we can never our congruence nicely.

[00:01:58]This angle here this angle here is equal to this by alternate. You see, it's a Z.

[00:02:07]You see?

[00:02:08]So, which means on this one um PS2 angle S2 is equal to angle P1.

[00:02:21]The reason alternate angles.

[00:02:26]Why? Because uh there's PR which is given parallel to SQ.

[00:02:34]That is the information that you can see. I want to prove that they are congruent.

[00:02:40]All right? Now, you can also see side PS. Side PS is what? It's common.

[00:02:48]This side it's common. You see this one.

[00:02:51]It's common.

[00:02:52]Now, I've proved three things. So, I'm going to say therefore triangle PQS triangle PQS is congruent to triangle SR P.

[00:03:15]The reason is angle angle side because this is angle angle side. You see?

[00:03:25]Now, after doing that the question said show that the lines opposite sides of parallelogram are equal.

[00:03:34]Now, with what you have done, if you prove that they're congruent, also the the the letters are being pegged in order. So, you can simply say PQ PQ is equal to SR. These letters are pegged in order by congruence. By congru- -ence.

[00:03:59]You're done. That's full marks.

[00:04:01]That is how to show that opposite sides of a parallelogram are equal. That is how to show that opposite sides of a parallelogram are equal. Okay?

[00:04:15]Now, let's also look at something else and see how best we can go about this.

[00:04:25]Right?

[00:04:26]Where are we going? Let's come to question 1.2.

[00:04:31]What is it that question 1.2 is all about?

[00:04:40]Question 1.2.

[00:04:43]The diagram below ABCD is a parallelogram with angle G is equal to 9x + 12°.

[00:04:50]And then F 15x - 24°.

[00:04:54]Calculate the value of x.

[00:04:58]Okay? So, we are being told that this angle, which is here, it's 15 x - 24 degrees.

[00:05:07]We are being told that G is 9x + 12°.

[00:05:14]As you can see, opposite angles of a parallelogram are equal, learners. I hope that one is clear. So, the first thing you're going to say, 15x - 24° is equal to 9x + 12°.

[00:05:33]Then, you say opposite angles of a palm.

[00:05:38]Opposite angles of a parallelogram. So, this one come this side.

[00:05:43]You're going to have 15x 9x is equal to + 24° All right? So, with this information, you can simply come there and say this will be 6 X and this one will be 36.

[00:06:06]Right?

[00:06:07]Will be 36. Then you divide both sides by 6.

[00:06:12]And the value of X will be 6.

[00:06:16]I hope that one is clear, learners.

[00:06:19]That is how you solve this question on 1.2. All right?

[00:06:23]All right, let's go to 1.2.2.

[00:06:26]Determine the size of E. Determine the size of E. Remember, we already have G.

[00:06:32]This angle here it's 9 into 6 + 12. You see?

[00:06:41]So, obvious, this one will be 51 + 12.

[00:06:46]So, this angle it is going to be 63°.

[00:06:51]Now, how do you find angle E? So, you say angle E + 63 for G.

[00:07:03]You see? After finding, you should show that you got this.

[00:07:07]Let me show you how you are supposed to write it formally there so that you don't make mistakes. Right?

[00:07:12]Let me show you cuz it's for marks, this thing. So, you just come there and say G angle G is equal to 9 into 6 + 12. Then you say 63°.

[00:07:27]So, now this one E + 63 = 180°.

[00:07:34]You say co-int angles.

[00:07:38]Comma.

[00:07:39]You indicate the parallel lines to show that EF is parallel to GH. Don't forget about this.

[00:07:47]Then, you say angle E is equal to 180° - 63 degrees.

[00:07:57]Then, learners, after doing that, you take your calculator, okay?

[00:08:02]You take your calculator and say 180 63. You're going to get 1 1 7 degrees.

[00:08:15]That is how you answer questions on um Euclidean geometry in this grade 10 assignment.

[00:08:24]So, the first thing now you check, let's go back. That is the first question. You show by congruency. Then, on this one, you apply the properties of a parallelogram. Till we meet on the next video when we focus on the analytical geometry.